subtraction fraction

Time bar (total: 4.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze11.0ms (0.2%)

Memory
15.3MiB live, 15.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample597.0ms (12.1%)

Memory
42.9MiB live, 725.3MiB allocated
Samples
366.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 206.0ms
ival-div: 60.0ms (29.1% of total)
ival-neg: 54.0ms (26.2% of total)
ival-add: 47.0ms (22.8% of total)
ival-sub: 38.0ms (18.4% of total)
ival-true: 6.0ms (2.9% of total)
ival-assert: 3.0ms (1.5% of total)
Bogosity

explain65.0ms (1.3%)

Memory
-8.2MiB live, 107.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(neg.f64 (+.f64 f n))
00-0-(+.f64 f n)
00-0-(-.f64 f n)
00-0-f
00-0-n
00-0-(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
25.0ms512×0valid
Compiler

Compiled 52 to 22 computations (57.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sub: 3.0ms (26.9% of total)
ival-div: 3.0ms (26.9% of total)
ival-add: 3.0ms (26.9% of total)
ival-neg: 2.0ms (17.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess58.0ms (1.2%)

Memory
6.8MiB live, 53.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01846
16135
217235
345535
4121535
5148735
6154435
7161235
8166935
068
0108
1218
2418
3787
41657
53127
66137
77397
87717
97877
107887
07887
Stop Event
iter limit
saturated
iter limit
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 n f) (-.f64 n f))
Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify29.0ms (0.6%)

Memory
-22.9MiB live, 15.6MiB allocated
Algorithm
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-diff1
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0620
01020
12120
24120
37819
416519
531219
661319
773919
877119
978719
1078819
078819
Stop Event
iter limit
saturated
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 n f) (-.f64 n f))
(neg.f64 (+.f64 f n))
(neg.f64 (+.f64 n f))
(+.f64 f n)
(+.f64 n f)
f
n
(-.f64 f n)

localize16.0ms (0.3%)

Memory
17.5MiB live, 17.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 f n)
accuracy0.0
(+.f64 f n)
accuracy0.0
(neg.f64 (+.f64 f n))
accuracy0.017910009768442016
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Samples
11.0ms256×0valid
Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (37.1% of total)
ival-sub: 1.0ms (18.6% of total)
ival-add: 1.0ms (18.6% of total)
ival-neg: 1.0ms (18.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB allocated
Counts
4 → 40
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
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 n)
(- (* -1 f) n)
n
(+ f n)
(- f 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 f)
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (* -1 (/ n f))))
(- (* -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 (* f (+ 1 (/ n f))))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (/ n f) 1)))
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(- (* -1 n) f)
(+ f (* -1 n))
(+ 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)))))
(* n (- (* -1 (/ f n)) 1))
(* n (+ 1 (/ f n)))
(* n (- (/ f n) 1))
(+ 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 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
Calls

6 calls:

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

simplify299.0ms (6.1%)

Memory
-18.4MiB live, 135.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145384
1448349
21348314
35264304
08383278
Stop Event
iter limit
node limit
Counts
40 → 38
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 n)
(- (* -1 f) n)
n
(+ f n)
(- f 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 f)
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (* -1 (/ n f))))
(- (* -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 (* f (+ 1 (/ n f))))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (/ n f) 1)))
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(- (* -1 n) f)
(+ f (* -1 n))
(+ 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)))))
(* n (- (* -1 (/ f n)) 1))
(* n (+ 1 (/ f n)))
(* n (- (/ f n) 1))
(+ 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 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f) (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 f) n)
n
(+ f n)
(+.f64 n f)
(- f n)
(-.f64 f n)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #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 (/.f64 #s(literal -2 binary64) f) n #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 (fma.f64 (*.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(* -1 f)
(neg.f64 f)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 f) n)
f
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #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 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 (/.f64 n f) n n)) f)) f) #s(literal 1 binary64))
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (neg.f64 f) n)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #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 (fma.f64 (*.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(- (* -1 n) f)
(-.f64 (neg.f64 f) n)
(+ f (* -1 n))
(-.f64 f n)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #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)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f) (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 f) n)
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (- (/ f n) 1))
(-.f64 f n)
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(fma.f64 (fma.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f) (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 f) n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 f n)

rewrite212.0ms (4.3%)

Memory
11.4MiB live, 190.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0618
01018
14618
232717
0554717
Stop Event
iter limit
iter limit
node limit
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 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))) (fma.f64 (+.f64 n f) n (*.f64 f f)))
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (neg.f64 n) n (*.f64 f f))) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 n f)))
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 n f))
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 n f))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 n f)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (fma.f64 (+.f64 n f) n (*.f64 f f)))
(*.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (+.f64 n f)) #s(literal 1 binary64)) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (+.f64 n f)) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (pow.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (+.f64 n f) (fma.f64 (-.f64 n f) n (*.f64 f f))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (+.f64 n f) (pow.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 n f) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 n f) n (*.f64 f f))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 n f) #s(literal 1 binary64)) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 n) n (*.f64 f f))) (pow.f64 (+.f64 n f) #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (neg.f64 (+.f64 n f))))
(*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) #s(literal -1 binary64))))
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(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f f)) (*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (-.f64 n f) n)))
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 n)) f)
(+.f64 (*.f64 f (/.f64 f (+.f64 n f))) (neg.f64 (*.f64 n (/.f64 n (+.f64 n f)))))
(+.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) (neg.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f)))))
(+.f64 (neg.f64 n) f)
(+.f64 f (*.f64 #s(literal 1 binary64) (neg.f64 n)))
(+.f64 f (neg.f64 n))

eval86.0ms (1.7%)

Memory
-11.6MiB live, 144.6MiB allocated
Compiler

Compiled 13 485 to 1 676 computations (87.6% saved)

prune13.0ms (0.3%)

Memory
-0.4MiB live, 37.7MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New5779586
Fresh000
Picked101
Done000
Total5789587
Accuracy
100.0%
Counts
587 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.3%
(/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (*.f64 (-.f64 n f) (-.f64 f n)))
100.0%
(/.f64 (+.f64 n f) (-.f64 n f))
50.2%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
51.9%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
50.0%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
51.9%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
48.9%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
50.8%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 206 to 150 computations (27.2% saved)

simplify67.0ms (1.4%)

Memory
6.4MiB live, 43.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 n f)
cost-diff0
(+.f64 n f)
cost-diff0
(/.f64 (+.f64 n f) (-.f64 n f))
cost-diff0
(/.f64 #s(literal -2 binary64) f)
cost-diff0
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
cost-diff0
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
cost-diff0
(-.f64 f n)
cost-diff0
(neg.f64 f)
cost-diff0
#s(approx (neg (+ f n)) (neg.f64 f))
cost-diff0
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
cost-diff0
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
cost-diff0
(+.f64 n f)
cost-diff0
(-.f64 n f)
cost-diff0
(/.f64 (-.f64 n f) (+.f64 n f))
cost-diff2
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022104
033106
158106
2101100
3175100
4351100
5751100
61339100
71678100
81831100
91894100
101935100
111936100
01936100
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
#s(literal 1 binary64)
(/.f64 (-.f64 n f) (+.f64 n f))
(-.f64 n f)
n
f
(+.f64 n f)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
f
(-.f64 f n)
n
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) f)
#s(literal -2 binary64)
f
n
#s(literal -1 binary64)
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
n
f
(-.f64 n f)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
#s(literal 1 binary64)
(/.f64 (-.f64 n f) (+.f64 n f))
(/.f64 (-.f64 n f) (+.f64 f n))
(-.f64 n f)
n
f
(+.f64 n f)
(+.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
f
(-.f64 f n)
n
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) f)
#s(literal -2 binary64)
f
n
#s(literal -1 binary64)
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 n f)
(+.f64 f n)
n
f
(-.f64 n f)

localize84.0ms (1.7%)

Memory
-20.5MiB live, 60.3MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 n f)
accuracy0.0
(+.f64 n f)
accuracy0.017910009768442016
(/.f64 (+.f64 n f) (-.f64 n f))
accuracy0.0
(/.f64 #s(literal -2 binary64) f)
accuracy0.3298534689687757
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
accuracy30.791073347099076
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
accuracy0.0
(-.f64 f n)
accuracy0.0
(neg.f64 f)
accuracy0.017910009768442016
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
accuracy30.8925370149331
#s(approx (neg (+ f n)) (neg.f64 f))
accuracy31.465513241773795
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
accuracy0.0
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
accuracy0.0
(-.f64 n f)
accuracy0.0
(+.f64 n f)
accuracy0.01171875
(/.f64 (-.f64 n f) (+.f64 n f))
Samples
42.0ms256×0valid
Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 9.0ms (33.2% of total)
ival-add: 9.0ms (33.2% of total)
ival-sub: 3.0ms (11.1% of total)
ival-mult: 2.0ms (7.4% of total)
ival-neg: 2.0ms (7.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
15.6MiB live, 15.6MiB allocated
Counts
13 → 76
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (-.f64 n f) (+.f64 n f))
(-.f64 n f)
(+.f64 n f)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
(-.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) f)
(/.f64 (+.f64 n f) (-.f64 n f))
Outputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+ 1 (* -2 (/ 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)))))
n
(+ n (* -1 f))
(+ f n)
(* -1 n)
(- (* -1 f) n)
(* -1 f)
(- f n)
(* -2 (/ n f))
(/ (+ (* -2 n) (* -1 f)) f)
(/ -2 f)
-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))))
(- (/ n f) (+ 1 (* -1 (/ n f))))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f))))
(- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2)))))
(* f (- (/ n f) 1))
f
(* f (+ 1 (/ n f)))
(- (* -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)
(* f (- (* -1 (/ n f)) 1))
(* f (+ 1 (* -1 (/ n f))))
(- (* -2 (/ 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 (/ (- (* -1 n) n) f)) 1)
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1)
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* -1 (/ (* (pow n 2) (- (* -1 n) n)) f)) (* -1 (* n (- (* -1 n) n)))) f))) n) f)) 1)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(- (* -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 (* f (+ 1 (/ n f))))
(* -1 (* f (- (/ 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)
(- (* 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)
(- n f)
(- (* -1 n) f)
(+ f (* -1 n))
(- (+ 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))) (/ f n))
(- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n))
(- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (/ f n)))
(+ 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)))))
(* n (- (* -1 (/ f n)) 1))
(* n (- (/ f n) 1))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 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 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+ 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 (* n (+ 1 (* -1 (/ f n)))))
Calls

6 calls:

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

simplify194.0ms (3.9%)

Memory
25.8MiB live, 181.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02781028
1894901
22855800
08161715
Stop Event
iter limit
node limit
Counts
76 → 74
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 (* -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)))))
n
(+ n (* -1 f))
(+ f n)
(* -1 n)
(- (* -1 f) n)
(* -1 f)
(- f n)
(* -2 (/ n f))
(/ (+ (* -2 n) (* -1 f)) f)
(/ -2 f)
-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))))
(- (/ n f) (+ 1 (* -1 (/ n f))))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f))))
(- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2)))))
(* f (- (/ n f) 1))
f
(* f (+ 1 (/ n f)))
(- (* -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)
(* f (- (* -1 (/ n f)) 1))
(* f (+ 1 (* -1 (/ n f))))
(- (* -2 (/ 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 (/ (- (* -1 n) n) f)) 1)
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1)
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* -1 (/ (* (pow n 2) (- (* -1 n) n)) f)) (* -1 (* n (- (* -1 n) n)))) f))) n) f)) 1)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(- (* -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 (* f (+ 1 (/ n f))))
(* -1 (* f (- (/ 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)
(- (* 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)
(- n f)
(- (* -1 n) f)
(+ f (* -1 n))
(- (+ 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))) (/ f n))
(- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n))
(- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (/ f n)))
(+ 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)))))
(* n (- (* -1 (/ f n)) 1))
(* n (- (/ f n) 1))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 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 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+ 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 (* n (+ 1 (* -1 (/ f n)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #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 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #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 (/.f64 #s(literal 2 binary64) n) f #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 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal -2 binary64) n)) f #s(literal 1 binary64))
n
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(-.f64 n f)
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(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
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(*.f64 (/.f64 n f) #s(literal -2 binary64))
(/ (+ (* -2 n) (* -1 f)) f)
(/.f64 (fma.f64 #s(literal -2 binary64) n (neg.f64 f)) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #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 (fma.f64 (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(- (/ n f) (+ 1 (* -1 (/ n f))))
(fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f))))
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal 2 binary64)) #s(literal -1 binary64))
(- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2)))))
(+.f64 (fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 n #s(literal 3 binary64))) (pow.f64 f #s(literal 3 binary64))))
(* f (- (/ n f) 1))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
f
(* f (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) f f)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #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 (/.f64 #s(literal -2 binary64) f) n #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 (fma.f64 (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(* f (- (* -1 (/ n f)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(* f (+ 1 (* -1 (/ n f))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) n (/.f64 (*.f64 n (*.f64 n (fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal 2 binary64)))) f)) f))
(- (* -1 (/ (- (* -1 n) n) f)) 1)
(fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal 2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* -1 (/ (* (pow n 2) (- (* -1 n) n)) f)) (* -1 (* n (- (* -1 n) n)))) f))) n) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 n (*.f64 n (fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal -2 binary64)))) (neg.f64 f))) f))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(fma.f64 (/.f64 n f) f f)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #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 (fma.f64 #s(literal 2 binary64) n (/.f64 (*.f64 n (*.f64 n (fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal 2 binary64)))) f)) f))
(* -1 (* f (+ 1 (/ n f))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(* -1 (* f (- (/ n f) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #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 (fma.f64 (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(- (* 2 (/ n f)) 1)
(fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64))
(- (* n (+ (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #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 (fma.f64 (fma.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal 2 binary64) f)) n #s(literal -1 binary64))
(- n f)
(-.f64 n f)
(- (* -1 n) f)
(-.f64 (neg.f64 n) f)
(+ f (* -1 n))
(-.f64 f n)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #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 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(- (+ 1 (* -1 (/ f n))) (/ f n))
(fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal -2 binary64) n)) f #s(literal 1 binary64))
(* n (+ 1 (* -1 (/ f n))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(* n (+ 1 (/ f n)))
(fma.f64 (/.f64 f n) n n)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #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)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* n (- (* -1 (/ f n)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n)
(* n (- (/ f n) 1))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
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(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 f (*.f64 f (fma.f64 (/.f64 #s(literal -2 binary64) n) f #s(literal -2 binary64)))) n)) n))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n)))
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 f (*.f64 f (fma.f64 (/.f64 #s(literal -2 binary64) n) f #s(literal 2 binary64)))) n)) n) #s(literal 1 binary64))
(* -1 (* n (- (/ f n) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 (/.f64 f n) n n)
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #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 #s(literal -2 binary64) f (/.f64 (*.f64 f (*.f64 f (fma.f64 (/.f64 #s(literal -2 binary64) n) f #s(literal -2 binary64)))) n)) n))
(* -1 (* n (+ 1 (/ f n))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)

rewrite189.0ms (3.8%)

Memory
-22.0MiB live, 267.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02286
03384
113584
299882
0877382
Stop Event
iter limit
node limit
iter limit
Counts
13 → 1 190
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (-.f64 n f) (+.f64 n f))
(-.f64 n f)
(+.f64 n f)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
(-.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) f)
(/.f64 (+.f64 n f) (-.f64 n f))
Outputs
(*.f64 (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 f n))
(*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 n f)))
(*.f64 (/.f64 (neg.f64 (+.f64 f n)) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 (neg.f64 n) n (*.f64 f f)))) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (+.f64 f n)) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (pow.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n)))
(*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (neg.f64 f) f (*.f64 n n))) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 (neg.f64 n) n (*.f64 f f)))) (neg.f64 (+.f64 f n)))
(*.f64 (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (neg.f64 n) n (*.f64 f f))) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 (neg.f64 n) n (*.f64 f f)))) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (pow.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) #s(literal -1 binary64))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal -1 binary64))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n)))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (+.f64 f n)))
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) #s(literal -1 binary64))) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal -1 binary64))) (/.f64 (+.f64 f n) (-.f64 f n)))
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (+.f64 f n) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 f n) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 n f)))
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(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 f n))) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 f f (*.f64 n n)) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 f n) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 f f) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 f f) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 n #s(literal -1 binary64)) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) (*.f64 (neg.f64 f) (pow.f64 (-.f64 f n) #s(literal -1 binary64))))
(+.f64 (*.f64 (neg.f64 n) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) (*.f64 (neg.f64 f) (pow.f64 (-.f64 f n) #s(literal -1 binary64))))
(+.f64 (*.f64 (neg.f64 f) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) (*.f64 (*.f64 n #s(literal -1 binary64)) (pow.f64 (-.f64 f n) #s(literal -1 binary64))))
(+.f64 (*.f64 (neg.f64 f) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) (*.f64 (neg.f64 n) (pow.f64 (-.f64 f n) #s(literal -1 binary64))))
(+.f64 (*.f64 (fma.f64 n n (*.f64 f f)) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 f n) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 f (+.f64 f n)) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 n n) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 n n) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 f (+.f64 f n)) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 f (-.f64 n f)) #s(literal 1 binary64)) (*.f64 (/.f64 n (-.f64 n f)) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 n (-.f64 n f)) #s(literal 1 binary64)) (*.f64 (/.f64 f (-.f64 n f)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) f) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) n) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) f) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 f f (*.f64 n n))) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f n)))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 n (+.f64 f n))) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f f)))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f f)) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 n (+.f64 f n))))
(+.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) #s(literal 0 binary64)) (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (*.f64 n #s(literal -1 binary64))) (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (neg.f64 f)))
(+.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (neg.f64 n)) (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (neg.f64 f)))
(+.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (neg.f64 f)) (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (*.f64 n #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (neg.f64 f)) (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (neg.f64 n)))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 n n (*.f64 f f))) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f n)))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f (+.f64 f n))) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 n n)))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 n n)) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f (+.f64 f n))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f))) (*.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f))) (*.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) f)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) n)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) n)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(+.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) f) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) n))
(+.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) n) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) f))
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 n f)))

eval207.0ms (4.2%)

Memory
13.9MiB live, 275.2MiB allocated
Compiler

Compiled 31 150 to 3 248 computations (89.6% saved)

prune71.0ms (1.4%)

Memory
-18.2MiB live, 69.2MiB allocated
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New1 27811 279
Fresh134
Picked055
Done000
Total1 27991 288
Accuracy
100.0%
Counts
1 288 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 n f) (-.f64 n f))
87.5%
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
50.2%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
51.9%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
50.0%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
51.9%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
48.9%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
50.8%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 102 to 74 computations (27.5% saved)

simplify142.0ms (2.9%)

Memory
8.4MiB live, 136.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 f n)
cost-diff0
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n))
cost-diff0
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
cost-diff3
(fma.f64 (/.f64 f n) n n)
cost-diff0
(-.f64 f n)
cost-diff0
(neg.f64 n)
cost-diff0
#s(approx (neg (+ f n)) (neg.f64 n))
cost-diff0
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
cost-diff0
(/.f64 #s(literal 2 binary64) n)
cost-diff0
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
cost-diff0
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
022102
033102
157102
29297
314691
424991
565391
6276091
7535991
8665791
9693491
10700591
11705891
0812091
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
n
f
#s(literal 1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n))
(fma.f64 (/.f64 f n) n n)
(/.f64 f n)
f
n
(-.f64 n f)
Outputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
n
f
#s(literal 1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
(/.f64 #s(approx (+ n f) (+.f64 n f)) (-.f64 n f))
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n))
#s(approx (+ n f) (+.f64 n f))
(fma.f64 (/.f64 f n) n n)
(+.f64 n f)
(/.f64 f n)
f
n
(-.f64 n f)

localize51.0ms (1%)

Memory
12.6MiB live, 91.5MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 n f)
accuracy0.0
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n))
accuracy0.017910009768442016
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
accuracy7.79613561286671
(fma.f64 (/.f64 f n) n n)
accuracy0.0
(-.f64 f n)
accuracy0.0
(neg.f64 n)
accuracy0.017910009768442016
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
accuracy31.801289000092645
#s(approx (neg (+ f n)) (neg.f64 n))
accuracy0.0
(/.f64 #s(literal 2 binary64) n)
accuracy0.1015625
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
accuracy31.785942500402307
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
accuracy32.46618704306788
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
Samples
39.0ms255×0valid
0.0ms5exit
Compiler

Compiled 77 to 20 computations (74% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 15.0ms (53.3% of total)
ival-add: 5.0ms (17.8% of total)
ival-mult: 3.0ms (10.7% of total)
ival-sub: 2.0ms (7.1% of total)
ival-neg: 2.0ms (7.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series61.0ms (1.2%)

Memory
-31.6MiB live, 6.9MiB allocated
Counts
13 → 61
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) n)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
(-.f64 f n)
(fma.f64 (/.f64 f n) n n)
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n))
(/.f64 f n)
(-.f64 n f)
Outputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 n)
(- (* -1 f) n)
(- f n)
n
(+ f n)
(/ f n)
(+ n (* -1 f))
-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)
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (/ n f)))
(- (* -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))))
(* f (- (/ n f) 1))
(- (* -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)
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(- (* -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)
(/ (+ n (* 2 f)) n)
(/ 2 n)
(- (* -1 n) f)
(+ f (* -1 n))
(- n f)
(+ 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)))))
(* n (- (* -1 (/ f n)) 1))
(* n (- (/ f n) 1))
(* n (+ 1 (/ f n)))
(- (+ 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)))))
(* n (+ 1 (* -1 (/ 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 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+ 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 (* n (- (/ f n) 1)))
Calls

6 calls:

TimeVariablePointExpression
55.0ms
n
@-inf
((/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (+ (* (/ f n) n) n) (/ (+ n f) (- n f)) (+ n f) (/ f n) (- n f))
1.0ms
f
@-inf
((/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (+ (* (/ f n) n) n) (/ (+ n f) (- n f)) (+ n f) (/ f n) (- n f))
1.0ms
f
@inf
((/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (+ (* (/ f n) n) n) (/ (+ n f) (- n f)) (+ n f) (/ f n) (- n f))
1.0ms
n
@0
((/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (+ (* (/ f n) n) n) (/ (+ n f) (- n f)) (+ n f) (/ f n) (- n f))
1.0ms
n
@inf
((/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (+ (* (/ f n) n) n) (/ (+ n f) (- n f)) (+ n f) (/ f n) (- n f))

simplify290.0ms (5.9%)

Memory
31.0MiB live, 140.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0211641
1660575
22112503
36105497
08284446
Stop Event
iter limit
node limit
Counts
61 → 59
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 n)
(- (* -1 f) n)
(- f n)
n
(+ f n)
(/ f n)
(+ n (* -1 f))
-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)
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (/ n f)))
(- (* -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))))
(* f (- (/ n f) 1))
(- (* -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)
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(- (* -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)
(/ (+ n (* 2 f)) n)
(/ 2 n)
(- (* -1 n) f)
(+ f (* -1 n))
(- n f)
(+ 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)))))
(* n (- (* -1 (/ f n)) 1))
(* n (- (/ f n) 1))
(* n (+ 1 (/ f n)))
(- (+ 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)))))
(* n (+ 1 (* -1 (/ 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 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+ 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 (* n (- (/ f n) 1)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (fma.f64 (/.f64 (/.f64 f n) n) f (/.f64 f n)) #s(literal -1 binary64)) #s(literal 1 binary64))
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 f) n)
(- f n)
(-.f64 f n)
n
(+ f n)
(+.f64 n f)
(/ f n)
(/.f64 f n)
(+ n (* -1 f))
(-.f64 n f)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #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 (/.f64 #s(literal -2 binary64) f) n #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 #s(literal -2 binary64) f) n) (-.f64 (fma.f64 n (/.f64 (/.f64 n f) f) (/.f64 n f)) #s(literal -1 binary64)) #s(literal -1 binary64))
(* 2 (/ f n))
(*.f64 (/.f64 #s(literal 2 binary64) n) f)
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(* -1 f)
(neg.f64 f)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 f) n)
f
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
(* f (+ 1 (/ n f)))
(+.f64 n f)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #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 (*.f64 (/.f64 #s(literal -2 binary64) f) n) (-.f64 (fma.f64 n (/.f64 (/.f64 n f) f) (/.f64 n f)) #s(literal -1 binary64)) #s(literal -1 binary64))
(* f (- (/ n f) 1))
(-.f64 n f)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #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 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) n) f) (fma.f64 n (/.f64 n f) n) (*.f64 #s(literal 2 binary64) n)) f))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (neg.f64 f) n)
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) n) f) (fma.f64 n (/.f64 n f) n) (*.f64 #s(literal 2 binary64) n)) f))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #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 #s(literal -2 binary64) f) n) (-.f64 (fma.f64 n (/.f64 (/.f64 n f) f) (/.f64 n f)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/ (+ n (* 2 f)) n)
(/.f64 (fma.f64 #s(literal 2 binary64) f n) n)
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
(- (* -1 n) f)
(-.f64 (neg.f64 f) n)
(+ f (* -1 n))
(-.f64 f n)
(- n f)
(-.f64 n f)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #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)))))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (fma.f64 (/.f64 (/.f64 f n) n) f (/.f64 f n)) #s(literal -1 binary64)) #s(literal 1 binary64))
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 f) n)
(* n (- (/ f n) 1))
(-.f64 f n)
(* n (+ 1 (/ f n)))
(+.f64 n f)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (fma.f64 (/.f64 (/.f64 f n) n) f (/.f64 f n)) #s(literal -1 binary64)) #s(literal 1 binary64))
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #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 (/.f64 (fma.f64 f (fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64)) f) n) #s(literal 1 binary64))
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 f) n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 f n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+.f64 (/.f64 (fma.f64 f (fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64)) f) n) #s(literal 1 binary64))
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)

rewrite342.0ms (6.9%)

Memory
-18.0MiB live, 272.0MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02293
03393
113893
299082
0967782
Stop Event
iter limit
node limit
iter limit
Counts
13 → 628
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) n)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
(-.f64 f n)
(fma.f64 (/.f64 f n) n n)
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n))
(/.f64 f n)
(-.f64 n f)
Outputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal 1 binary64))))
(*.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 n f) #s(literal -3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 n f) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) #s(literal 2 binary64)))))))
(*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 n f) #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64))))))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 n f) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 n f) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)))) (*.f64 (pow.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 n f) #s(literal -3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 n f) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 n f) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 n f) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 n f) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 n f) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 n f) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 n f) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)))) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 n f) #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64))))
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(-.f64 (/.f64 (*.f64 f f) (neg.f64 (+.f64 n f))) (/.f64 (*.f64 n n) (neg.f64 (+.f64 n f))))
(-.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (neg.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (neg.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)))))
(-.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n (+.f64 n f) (*.f64 f f))) (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 n (+.f64 n f) (*.f64 f f))))
(-.f64 (*.f64 n (/.f64 n (+.f64 n f))) (*.f64 f (/.f64 f (+.f64 n f))))
(-.f64 (neg.f64 f) (neg.f64 n))
(-.f64 #s(literal 0 binary64) (-.f64 f n))
(-.f64 n f)
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 n (+.f64 n f) (*.f64 f f)))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n (+.f64 n f) (*.f64 f f))))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 f (/.f64 f (+.f64 n f)))) (*.f64 n (/.f64 n (+.f64 n f))))
(+.f64 (*.f64 (neg.f64 n) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 (neg.f64 n) n (*.f64 f f)))) (*.f64 f (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 (neg.f64 n) n (*.f64 f f)))))
(+.f64 (*.f64 f (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 (neg.f64 n) n (*.f64 f f)))) (*.f64 (neg.f64 n) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 (neg.f64 n) n (*.f64 f f)))))
(+.f64 (*.f64 (*.f64 f (-.f64 f n)) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 n n) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 n n) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 f (-.f64 f n)) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 n (-.f64 n f)) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 f f) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 f f) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 n (-.f64 n f)) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 f)) n)
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 (neg.f64 n) n (*.f64 f f))) (neg.f64 n)) (*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 (neg.f64 n) n (*.f64 f f))) f))
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 (neg.f64 n) n (*.f64 f f))) f) (*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 (neg.f64 n) n (*.f64 f f))) (neg.f64 n)))
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f (-.f64 f n))) (*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 n n)))
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 n n)) (*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f (-.f64 f n))))
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 n (-.f64 n f))) (*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f f)))
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f f)) (*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 n (-.f64 n f))))
(+.f64 (-.f64 (neg.f64 f) #s(literal 0 binary64)) n)
(+.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n (+.f64 n f) (*.f64 f f))) (neg.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 n (+.f64 n f) (*.f64 f f)))))
(+.f64 (*.f64 n (/.f64 n (+.f64 n f))) (neg.f64 (*.f64 f (/.f64 f (+.f64 n f)))))
(+.f64 (neg.f64 f) n)
(+.f64 #s(literal 0 binary64) (-.f64 n f))
(+.f64 n (*.f64 #s(literal 1 binary64) (neg.f64 f)))
(+.f64 n (neg.f64 f))

eval181.0ms (3.7%)

Memory
2.3MiB live, 159.5MiB allocated
Compiler

Compiled 17 799 to 1 932 computations (89.1% saved)

prune65.0ms (1.3%)

Memory
0.8MiB live, 39.6MiB allocated
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New6540654
Fresh000
Picked044
Done055
Total6549663
Accuracy
100.0%
Counts
663 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 n f) (-.f64 n f))
87.5%
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
50.2%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
51.9%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
50.0%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
51.9%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
48.9%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
50.8%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 227 to 116 computations (48.9% saved)

regimes11.0ms (0.2%)

Memory
18.9MiB live, 18.9MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
(/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (*.f64 (-.f64 n f) (-.f64 f n)))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
Calls

3 calls:

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

Compiled 10 to 10 computations (0% saved)

regimes138.0ms (2.8%)

Memory
-25.3MiB live, 13.6MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Outputs
(/.f64 (+.f64 n f) (-.f64 n f))
Calls

3 calls:

132.0ms
n
3.0ms
f
2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
100.0%1f
100.0%1n
100.0%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

regimes7.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
Outputs
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
Calls

3 calls:

2.0ms
f
2.0ms
n
2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
77.1%3f
77.3%3n
98.9%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

regimes2.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
Outputs
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
Calls

1 calls:

2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
98.5%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
Outputs
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
Calls

1 calls:

1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
98.3%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
Outputs
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
98.2%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
Outputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
98.2%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Outputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Calls

3 calls:

1.0ms
n
1.0ms
f
1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
50.8%1f
50.8%1n
50.8%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0
0.8664048117777121
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0
0.8664048117777121
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0
0.8664048117777121
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0
0.8664048117777121
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch26.0ms (0.5%)

Memory
-30.3MiB live, 13.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
25.0ms
-1.0
0.8664048117777121
Samples
4.0ms240×0valid
Compiler

Compiled 311 to 281 computations (9.6% 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)

simplify293.0ms (6%)

Memory
4.8MiB live, 40.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041200
165200
296200
3145193
4247193
5495193
61727193
74160193
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) #s(literal -1 binary64))
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

soundness1.1s (21.4%)

Memory
9.4MiB live, 448.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0145384
1448349
21348314
35264304
08383278
0618
01018
14618
232717
0554717
Stop Event
done
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 287 to 113 computations (60.6% saved)

preprocess40.0ms (0.8%)

Memory
-10.8MiB live, 63.9MiB allocated
Compiler

Compiled 416 to 94 computations (77.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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