subtraction fraction

Time bar (total: 4.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze12.0ms (0.3%)

Memory
15.9MiB live, 15.9MiB 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)

sample623.0ms (14.5%)

Memory
54.4MiB live, 776.4MiB allocated
Samples
396.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 218.0ms
ival-add: 70.0ms (32% of total)
ival-div: 56.0ms (25.6% of total)
ival-neg: 43.0ms (19.7% of total)
ival-sub: 41.0ms (18.8% of total)
ival-true: 6.0ms (2.7% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

explain107.0ms (2.5%)

Memory
-34.6MiB live, 86.8MiB 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
45.0ms512×0valid
Compiler

Compiled 52 to 22 computations (57.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-add: 23.0ms (71.7% of total)
ival-sub: 3.0ms (9.4% of total)
ival-div: 3.0ms (9.4% of total)
ival-neg: 2.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess15.0ms (0.4%)

Memory
24.7MiB live, 24.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01850
14044
28944
314544
419044
519744
620444
068
0108
1168
2268
3358
4358
0358
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 (neg.f64 (+.f64 n f)) (-.f64 f n))
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
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB 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-diff0
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0620
01020
11620
22620
33520
43520
03520
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 (neg.f64 (+.f64 n f)) (-.f64 f n))
(neg.f64 (+.f64 f n))
(neg.f64 (+.f64 n f))
(+.f64 f n)
(+.f64 n f)
f
n
(-.f64 f n)

localize61.0ms (1.4%)

Memory
-13.5MiB live, 23.2MiB 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))
accuracy0.033535009768442016
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Samples
56.0ms256×0valid
Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-add: 45.0ms (91.5% of total)
ival-div: 2.0ms (4.1% of total)
ival-sub: 1.0ms (2% of total)
ival-neg: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
3.1MiB live, 3.1MiB 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))

simplify234.0ms (5.4%)

Memory
18.6MiB live, 170.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145444
1462415
21605357
37385357
08606327
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 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #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 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) (*.f64 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)
(-.f64 (*.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)
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n) #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)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64))
(* -1 f)
(neg.f64 f)
(* f (- (* -1 (/ n f)) 1))
(*.f64 (-.f64 (/.f64 (neg.f64 n) f) #s(literal 1 binary64)) f)
f
(* f (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) f f)
(* f (+ 1 (* -1 (/ n f))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(-.f64 (*.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)
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n) #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 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64))
(* -1 (* f (+ 1 (/ n f))))
(neg.f64 (fma.f64 (/.f64 n f) f f))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 n) f) #s(literal 1 binary64)) (neg.f64 f))
(* -1 (* f (- (/ n f) 1)))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) (neg.f64 f))
(- (* -2 (/ n f)) 1)
(-.f64 (*.f64 (/.f64 #s(literal -2 binary64) f) n) #s(literal 1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n) #s(literal 1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64))
(- (* -1 n) f)
(-.f64 (neg.f64 n) f)
(+ 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 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #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 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) (*.f64 n n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* n (- (* -1 (/ f n)) 1))
(*.f64 (-.f64 (/.f64 (neg.f64 f) n) #s(literal 1 binary64)) n)
(* n (+ 1 (/ f n)))
(fma.f64 (/.f64 f n) n n)
(* n (- (/ f n) 1))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #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 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) (*.f64 n n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 (* n (+ 1 (/ f n))))
(neg.f64 (fma.f64 (/.f64 f n) n n))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 f) n) #s(literal 1 binary64)) (neg.f64 n))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(fma.f64 (/.f64 f n) n (neg.f64 n))

rewrite301.0ms (7%)

Memory
-37.9MiB live, 268.7MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0618
01017
13617
222417
3284116
0962516
Stop Event
iter limit
node limit
iter limit
Counts
4 → 868
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 (/.f64 (+.f64 n f) (*.f64 (-.f64 f n) (+.f64 n f))) #s(literal 1 binary64)) (+.f64 n f))
(*.f64 (*.f64 (/.f64 (+.f64 n f) (*.f64 (-.f64 f n) (+.f64 n f))) (*.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 (fma.f64 f (-.f64 f n) (*.f64 n n)) (fma.f64 f (-.f64 f n) (*.f64 n n))) (/.f64 (+.f64 n f) (-.f64 f n)))
(*.f64 (pow.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 n f) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))) (/.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.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 n f) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f))))
(*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 (+.f64 n f) n (*.f64 f f)))
(*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (/.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (-.f64 f n)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 n f) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 n f) (*.f64 (-.f64 f n) (+.f64 n f))) (+.f64 n f))
(*.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 1 binary64))
(*.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (/.f64 (+.f64 n f) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))
(*.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) (/.f64 (+.f64 n f) (*.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) (-.f64 f n))))
(*.f64 (+.f64 n f) (/.f64 (-.f64 f n) (pow.f64 (-.f64 n f) #s(literal 2 binary64))))
(*.f64 (+.f64 n f) (/.f64 (+.f64 n f) (*.f64 (-.f64 f n) (+.f64 n f))))
(/.f64 (+.f64 (/.f64 (neg.f64 n) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))) (/.f64 (neg.f64 f) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)))) (fma.f64 f (-.f64 f n) (*.f64 n n)))
(/.f64 (+.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 f #s(literal -1 binary64))) (-.f64 f n))
(/.f64 (+.f64 (neg.f64 n) (/.f64 f #s(literal -1 binary64))) (-.f64 f n))
(/.f64 (+.f64 (/.f64 n #s(literal -1 binary64)) (neg.f64 f)) (-.f64 f n))
(/.f64 (+.f64 (/.f64 (neg.f64 f) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))) (/.f64 (neg.f64 n) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)))) (fma.f64 f (-.f64 f n) (*.f64 n n)))
(/.f64 (+.f64 (/.f64 f #s(literal -1 binary64)) (/.f64 n #s(literal -1 binary64))) (-.f64 f n))
(/.f64 (+.f64 (neg.f64 f) (/.f64 n #s(literal -1 binary64))) (-.f64 f n))
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(fma.f64 (/.f64 f #s(literal 1 binary64)) (/.f64 f (+.f64 n f)) (*.f64 n (/.f64 n (+.f64 n f))))
(fma.f64 (/.f64 (*.f64 f f) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (fma.f64 f (-.f64 f n) (*.f64 n n))) (*.f64 n (/.f64 n (+.f64 n f))))
(fma.f64 (/.f64 (*.f64 f f) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 f (-.f64 f n) (*.f64 n n)) (*.f64 n (/.f64 n (+.f64 n f))))
(fma.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 f n) (+.f64 n f))) (-.f64 f n) (*.f64 n (/.f64 n (+.f64 n f))))
(fma.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (*.f64 (-.f64 n f) n) (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (*.f64 f f)))
(fma.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (*.f64 f f) (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (*.f64 (-.f64 n f) n)))
(fma.f64 (pow.f64 f #s(literal 3/2 binary64)) (/.f64 (pow.f64 f #s(literal 3/2 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))))
(fma.f64 (neg.f64 f) (/.f64 f (+.f64 n f)) (*.f64 n (/.f64 n (+.f64 n f))))
(fma.f64 (*.f64 (-.f64 n f) n) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (*.f64 (*.f64 f f) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))))
(fma.f64 (*.f64 f f) (/.f64 f (fma.f64 (+.f64 n f) n (*.f64 f f))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))))
(fma.f64 (*.f64 f f) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 n f) n) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))))
(fma.f64 f (/.f64 (*.f64 f f) (fma.f64 (+.f64 n f) n (*.f64 f f))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))))
(fma.f64 f (/.f64 f (+.f64 n f)) (*.f64 n (/.f64 n (+.f64 n f))))
(-.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f f (fma.f64 n n (*.f64 (neg.f64 n) (neg.f64 f))))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 f f (fma.f64 n n (*.f64 (neg.f64 n) (neg.f64 f))))))
(-.f64 (/.f64 (pow.f64 f #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f))))) (/.f64 (pow.f64 n #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f))))))
(-.f64 (/.f64 (pow.f64 f #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (*.f64 n f) #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f))))) (/.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (*.f64 n f) #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f))))))
(-.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 6 binary64)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)))) (/.f64 (/.f64 (pow.f64 n #s(literal 6 binary64)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)))))
(-.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (*.f64 n f) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)))) (/.f64 (/.f64 (pow.f64 n #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (*.f64 n f) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)))))
(-.f64 (/.f64 (pow.f64 (*.f64 f (/.f64 f (+.f64 n f))) #s(literal 2 binary64)) (-.f64 f n)) (/.f64 (pow.f64 (*.f64 n (/.f64 n (+.f64 n f))) #s(literal 2 binary64)) (-.f64 f n)))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 2 binary64)) (-.f64 f n)) (/.f64 (pow.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 2 binary64)) (-.f64 f n)))
(-.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 (+.f64 n f) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 f (/.f64 f (+.f64 n f))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 n (/.f64 n (+.f64 n f))) #s(literal 2 binary64)) (*.f64 (*.f64 f (/.f64 f (+.f64 n f))) (*.f64 n (/.f64 n (+.f64 n f))))))) (/.f64 (/.f64 (pow.f64 n #s(literal 6 binary64)) (pow.f64 (+.f64 n f) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 f (/.f64 f (+.f64 n f))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 n (/.f64 n (+.f64 n f))) #s(literal 2 binary64)) (*.f64 (*.f64 f (/.f64 f (+.f64 n f))) (*.f64 n (/.f64 n (+.f64 n f))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 9 binary64)) (pow.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))))))) (/.f64 (/.f64 (pow.f64 n #s(literal 9 binary64)) (pow.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))))))))
(-.f64 (/.f64 (*.f64 (*.f64 f f) (+.f64 n f)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 n f) (*.f64 n n)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) (pow.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (pow.f64 n #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) (*.f64 (fma.f64 n n (*.f64 f f)) (+.f64 n f))) (/.f64 (pow.f64 n #s(literal 4 binary64)) (*.f64 (fma.f64 n n (*.f64 f f)) (+.f64 n f))))
(-.f64 (/.f64 (pow.f64 f #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 n n) (fma.f64 n n (*.f64 f f)) (pow.f64 f #s(literal 4 binary64))) (+.f64 n f))) (/.f64 (pow.f64 n #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 n n) (fma.f64 n n (*.f64 f f)) (pow.f64 f #s(literal 4 binary64))) (+.f64 n f))))
(-.f64 (/.f64 (pow.f64 f #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (fma.f64 (+.f64 n f) n (*.f64 f f)))) (/.f64 (pow.f64 n #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (fma.f64 (+.f64 n f) n (*.f64 f f)))))
(-.f64 (/.f64 (pow.f64 f #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (*.f64 n f) #s(literal 3 binary64))) (fma.f64 (+.f64 n f) n (*.f64 f f)))) (/.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (*.f64 n f) #s(literal 3 binary64))) (fma.f64 (+.f64 n f) n (*.f64 f f)))))
(-.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) (fma.f64 n n (*.f64 f f))) (+.f64 n f)) (/.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) (fma.f64 n n (*.f64 f f))) (+.f64 n f)))
(-.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 6 binary64)) (fma.f64 (*.f64 n n) (fma.f64 n n (*.f64 f f)) (pow.f64 f #s(literal 4 binary64)))) (+.f64 n f)) (/.f64 (/.f64 (pow.f64 n #s(literal 6 binary64)) (fma.f64 (*.f64 n n) (fma.f64 n n (*.f64 f f)) (pow.f64 f #s(literal 4 binary64)))) (+.f64 n f)))
(-.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 6 binary64)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f))))) (/.f64 (/.f64 (pow.f64 n #s(literal 6 binary64)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f))))))
(-.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (*.f64 n f) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f))))) (/.f64 (/.f64 (pow.f64 n #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (*.f64 n f) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f))))))
(-.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 6 binary64)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 (+.f64 n f) n (*.f64 f f))) (/.f64 (/.f64 (pow.f64 n #s(literal 6 binary64)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 (+.f64 n f) n (*.f64 f f))))
(-.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (*.f64 n f) #s(literal 3 binary64)))) (fma.f64 (+.f64 n f) n (*.f64 f f))) (/.f64 (/.f64 (pow.f64 n #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (*.f64 n f) #s(literal 3 binary64)))) (fma.f64 (+.f64 n f) n (*.f64 f f))))
(-.f64 (*.f64 f (/.f64 f (+.f64 n f))) (*.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))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))))
(-.f64 (neg.f64 f) (neg.f64 n))
(-.f64 f n)
(+.f64 (*.f64 (*.f64 (-.f64 n f) n) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))) (*.f64 (*.f64 f f) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 f f) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 n f) n) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (*.f64 (-.f64 n f) n)) (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (*.f64 f f)))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (*.f64 f f)) (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (*.f64 (-.f64 n f) n)))
(+.f64 (*.f64 f (/.f64 f (+.f64 n f))) (*.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))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))))

eval109.0ms (2.5%)

Memory
-5.0MiB live, 109.0MiB allocated
Compiler

Compiled 20 897 to 1 966 computations (90.6% saved)

prune15.0ms (0.4%)

Memory
12.4MiB live, 49.8MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New6508658
Fresh000
Picked011
Done000
Total6509659
Accuracy
100.0%
Counts
659 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
86.2%
(/.f64 (neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f))) (-.f64 f n))
51.4%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
49.8%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
51.1%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #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) n) f #s(literal 1 binary64)))
48.9%
#s(approx (/ (neg (+ f n)) (- f n)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n) #s(literal 1 binary64)))
50.3%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
48.7%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 234 to 164 computations (29.9% saved)

simplify193.0ms (4.5%)

Memory
-2.2MiB live, 122.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

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

Useful iterations: 3 (0.0ms)

IterNodesCost
029178
046178
175178
2128174
3243166
4489166
51800166
65660166
08249166
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f))) (-.f64 f n))
(neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f)))
#s(approx (+ f n) (fma.f64 (/.f64 n f) f f))
(fma.f64 (/.f64 n f) f f)
(/.f64 n f)
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) 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)
#s(approx (/ (neg (+ f n)) (- f n)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n) #s(literal 1 binary64)))
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n)
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64))
(/.f64 #s(literal -2 binary64) f)
#s(literal -2 binary64)
f
n
#s(literal 1 binary64)
Outputs
(/.f64 (neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f))) (-.f64 f n))
(/.f64 #s(approx (+ f n) (+.f64 n f)) (fma.f64 #s(literal -1 binary64) f n))
(neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f)))
(neg.f64 #s(approx (+ f n) (+.f64 n f)))
#s(approx (+ f n) (fma.f64 (/.f64 n f) f f))
#s(approx (+ f n) (+.f64 n f))
(fma.f64 (/.f64 n f) f f)
(+.f64 n f)
(/.f64 n f)
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) 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)
#s(approx (/ (neg (+ f n)) (- f n)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n) #s(literal 1 binary64)))
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n)
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64))
(/.f64 #s(literal -2 binary64) f)
#s(literal -2 binary64)
f
n
#s(literal 1 binary64)

localize61.0ms (1.4%)

Memory
7.6MiB live, 115.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.07421875
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f)
accuracy0.1328125
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64))
accuracy1.0939809880984919
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n)
accuracy32.67157150903699
#s(approx (/ (neg (+ f n)) (- f n)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n) #s(literal 1 binary64)))
accuracy0.0
(/.f64 #s(literal 2 binary64) n)
accuracy0.07421875
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
accuracy30.795924887260558
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
accuracy0.0
(-.f64 f n)
accuracy0.0
(neg.f64 f)
accuracy0.033535009768442016
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
accuracy32.264716178069726
#s(approx (neg (+ f n)) (neg.f64 f))
accuracy32.80359846178937
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
accuracy0.0
(neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f)))
accuracy0.0
#s(approx (+ f n) (fma.f64 (/.f64 n f) f f))
accuracy0.033535009768442016
(/.f64 (neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f))) (-.f64 f n))
accuracy8.514017517704628
(fma.f64 (/.f64 n f) f f)
Samples
41.0ms256×0valid
Compiler

Compiled 137 to 25 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 8.0ms (29.7% of total)
ival-add: 7.0ms (26% of total)
ival-mult: 6.0ms (22.3% of total)
ival-sub: 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)

series34.0ms (0.8%)

Memory
-23.3MiB live, 32.2MiB allocated
Counts
17 → 68
Calls
Call 1
Inputs
(fma.f64 (/.f64 n f) f f)
(/.f64 (neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f))) (-.f64 f n))
(neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f)))
#s(approx (+ f n) (fma.f64 (/.f64 n f) f 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) 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(approx (/ (neg (+ f n)) (- f n)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n) #s(literal 1 binary64)))
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n)
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64))
Outputs
n
(+ f n)
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 n)
(- (* -1 f) n)
(* -1 f)
(- f n)
(* -2 (/ (pow n 2) (pow f 2)))
(/ (+ (* -2 (* f n)) (* -2 (pow n 2))) (pow f 2))
(/ (+ (* -2 (pow n 2)) (* f (+ (* -2 n) (* -1 f)))) (pow f 2))
(* -2 (/ n (pow f 2)))
(/ (+ (* -2 f) (* -2 n)) (pow f 2))
(* -2 (/ n f))
(/ (+ (* -2 f) (* -2 n)) f)
f
(* f (+ 1 (/ n 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)
(* f (- (* -1 (/ n f)) 1))
(* f (+ 1 (* -1 (/ n f))))
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(- (* -2 (/ n f)) 1)
(- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1)
(/ (+ (* -2 n) (* -2 (/ (pow n 2) f))) f)
(/ -2 f)
(/ (- (* -2 (/ n f)) 2) f)
-2
(- (* -2 (/ n f)) 2)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (- (/ n f) 1)))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(- (* -1 (/ (+ (* 2 n) (* 2 (/ (pow n 2) f))) f)) 1)
(* -1 (/ (+ (* 2 n) (* 2 (/ (pow n 2) f))) f))
(* -1 (/ (+ 2 (* 2 (/ n f))) f))
(- (* 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))
(/ (+ n (* 2 f)) n)
(/ 2 n)
(* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f))))
(- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))
(* 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 (* (pow n 2) (+ (* 2 (/ 1 (pow f 2))) (* 2 (/ 1 (* f n))))))
(* (pow n 2) (- (* -1 (/ (+ (* 2 (/ 1 f)) (/ 1 n)) n)) (* 2 (/ 1 (pow f 2)))))
(* -1 (* (pow n 2) (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow f 2))))))
(* -1 (* n (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow f 2))))))
(* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))
(* -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
23.0ms
n
@inf
((+ (* (/ n f) f) f) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (+ f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ (neg (+ f n)) (- f n)) (- (* (/ (+ (* (/ -2 f) n) -2) f) n) 1) (* (/ (+ (* (/ -2 f) n) -2) f) n) (/ (+ (* (/ -2 f) n) -2) f) (+ (* (/ -2 f) n) -2))
3.0ms
f
@-inf
((+ (* (/ n f) f) f) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (+ f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ (neg (+ f n)) (- f n)) (- (* (/ (+ (* (/ -2 f) n) -2) f) n) 1) (* (/ (+ (* (/ -2 f) n) -2) f) n) (/ (+ (* (/ -2 f) n) -2) f) (+ (* (/ -2 f) n) -2))
2.0ms
n
@-inf
((+ (* (/ n f) f) f) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (+ f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ (neg (+ f n)) (- f n)) (- (* (/ (+ (* (/ -2 f) n) -2) f) n) 1) (* (/ (+ (* (/ -2 f) n) -2) f) n) (/ (+ (* (/ -2 f) n) -2) f) (+ (* (/ -2 f) n) -2))
2.0ms
f
@0
((+ (* (/ n f) f) f) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (+ f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ (neg (+ f n)) (- f n)) (- (* (/ (+ (* (/ -2 f) n) -2) f) n) 1) (* (/ (+ (* (/ -2 f) n) -2) f) n) (/ (+ (* (/ -2 f) n) -2) f) (+ (* (/ -2 f) n) -2))
2.0ms
f
@inf
((+ (* (/ n f) f) f) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (+ f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ (neg (+ f n)) (- f n)) (- (* (/ (+ (* (/ -2 f) n) -2) f) n) 1) (* (/ (+ (* (/ -2 f) n) -2) f) n) (/ (+ (* (/ -2 f) n) -2) f) (+ (* (/ -2 f) n) -2))

simplify148.0ms (3.5%)

Memory
23.4MiB live, 180.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0206668
1684623
22511577
08655522
Stop Event
iter limit
node limit
Counts
68 → 66
Calls
Call 1
Inputs
n
(+ f n)
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 n)
(- (* -1 f) n)
(* -1 f)
(- f n)
(* -2 (/ (pow n 2) (pow f 2)))
(/ (+ (* -2 (* f n)) (* -2 (pow n 2))) (pow f 2))
(/ (+ (* -2 (pow n 2)) (* f (+ (* -2 n) (* -1 f)))) (pow f 2))
(* -2 (/ n (pow f 2)))
(/ (+ (* -2 f) (* -2 n)) (pow f 2))
(* -2 (/ n f))
(/ (+ (* -2 f) (* -2 n)) f)
f
(* f (+ 1 (/ n 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)
(* f (- (* -1 (/ n f)) 1))
(* f (+ 1 (* -1 (/ n f))))
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(- (* -2 (/ n f)) 1)
(- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1)
(/ (+ (* -2 n) (* -2 (/ (pow n 2) f))) f)
(/ -2 f)
(/ (- (* -2 (/ n f)) 2) f)
-2
(- (* -2 (/ n f)) 2)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (- (/ n f) 1)))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(- (* -1 (/ (+ (* 2 n) (* 2 (/ (pow n 2) f))) f)) 1)
(* -1 (/ (+ (* 2 n) (* 2 (/ (pow n 2) f))) f))
(* -1 (/ (+ 2 (* 2 (/ n f))) f))
(- (* 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))
(/ (+ n (* 2 f)) n)
(/ 2 n)
(* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f))))
(- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))
(* 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 (* (pow n 2) (+ (* 2 (/ 1 (pow f 2))) (* 2 (/ 1 (* f n))))))
(* (pow n 2) (- (* -1 (/ (+ (* 2 (/ 1 f)) (/ 1 n)) n)) (* 2 (/ 1 (pow f 2)))))
(* -1 (* (pow n 2) (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow f 2))))))
(* -1 (* n (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow f 2))))))
(* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))
(* -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
n
(+ f n)
(+.f64 f n)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(/.f64 (fma.f64 #s(literal 2 binary64) f n) n)
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #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 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) (*.f64 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)
(* -1 f)
(neg.f64 f)
(- f n)
(-.f64 f n)
(* -2 (/ (pow n 2) (pow f 2)))
(*.f64 (*.f64 (/.f64 n (*.f64 f f)) #s(literal -2 binary64)) n)
(/ (+ (* -2 (* f n)) (* -2 (pow n 2))) (pow f 2))
(*.f64 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f))
(/ (+ (* -2 (pow n 2)) (* f (+ (* -2 n) (* -1 f)))) (pow f 2))
(fma.f64 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(* -2 (/ n (pow f 2)))
(*.f64 (/.f64 n (*.f64 f f)) #s(literal -2 binary64))
(/ (+ (* -2 f) (* -2 n)) (pow f 2))
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f)
(* -2 (/ n f))
(*.f64 (/.f64 n f) #s(literal -2 binary64))
(/ (+ (* -2 f) (* -2 n)) f)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64))
f
(* f (+ 1 (/ n f)))
(+.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 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f) #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)
(-.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))
(* f (- (* -1 (/ n f)) 1))
(*.f64 (-.f64 (/.f64 (neg.f64 n) f) #s(literal 1 binary64)) f)
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
(* 2 (/ f n))
(*.f64 (/.f64 #s(literal 2 binary64) n) f)
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(/.f64 (fma.f64 #s(literal 2 binary64) f n) n)
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1)
(fma.f64 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(/ (+ (* -2 n) (* -2 (/ (pow n 2) f))) f)
(*.f64 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f))
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ (- (* -2 (/ n f)) 2) f)
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f)
-2
#s(literal -2 binary64)
(- (* -2 (/ n f)) 2)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 n) f) #s(literal 1 binary64)) (neg.f64 f))
(- (* -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 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f) #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 (- (/ n f) 1)))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) (neg.f64 f))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(/.f64 (fma.f64 #s(literal 2 binary64) f n) n)
(- (* -1 (/ (+ (* 2 n) (* 2 (/ (pow n 2) f))) f)) 1)
(fma.f64 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(* -1 (/ (+ (* 2 n) (* 2 (/ (pow n 2) f))) f))
(*.f64 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f))
(* -1 (/ (+ 2 (* 2 (/ n f))) f))
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(-.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #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)
(/ (+ n (* 2 f)) n)
(/.f64 (fma.f64 #s(literal 2 binary64) f n) n)
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
(* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f))))
(*.f64 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f))
(- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f)
(* n (+ 1 (/ f n)))
(+.f64 f n)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(/.f64 (fma.f64 #s(literal 2 binary64) f n) n)
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #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 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) (*.f64 n n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* n (- (* -1 (/ f n)) 1))
(*.f64 (-.f64 (/.f64 (neg.f64 f) n) #s(literal 1 binary64)) n)
(* n (- (/ f n) 1))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(* -1 (* (pow n 2) (+ (* 2 (/ 1 (pow f 2))) (* 2 (/ 1 (* f n))))))
(*.f64 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f))
(* (pow n 2) (- (* -1 (/ (+ (* 2 (/ 1 f)) (/ 1 n)) n)) (* 2 (/ 1 (pow f 2)))))
(*.f64 (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -2 binary64) f)) n) (/.f64 (/.f64 #s(literal 2 binary64) f) f)) n) n)
(* -1 (* (pow n 2) (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow f 2))))))
(*.f64 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f))
(* -1 (* n (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow f 2))))))
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f)
(* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 f) n) #s(literal 1 binary64)) (neg.f64 n))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #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 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) (*.f64 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 (* -1 (/ f n)))))
(-.f64 f n)

rewrite249.0ms (5.8%)

Memory
0.5MiB live, 194.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029156
046156
1153156
2952156
08317156
Stop Event
iter limit
node limit
iter limit
Counts
17 → 310
Calls
Call 1
Inputs
(fma.f64 (/.f64 n f) f f)
(/.f64 (neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f))) (-.f64 f n))
(neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f)))
#s(approx (+ f n) (fma.f64 (/.f64 n f) f 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) 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(approx (/ (neg (+ f n)) (- f n)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n) #s(literal 1 binary64)))
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n)
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64))
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 n f) f) f)) (/.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 n f) f) f))) (*.f64 (/.f64 (*.f64 f f) (-.f64 (*.f64 (/.f64 n f) f) f)) (/.f64 (*.f64 f f) (-.f64 (*.f64 (/.f64 n f) f) f)))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 n f) f) f)) (/.f64 (*.f64 f f) (-.f64 (*.f64 (/.f64 n f) f) f))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 3 binary64)) (fma.f64 f (-.f64 f (*.f64 (/.f64 n f) f)) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 3 binary64)) (fma.f64 f (-.f64 f (*.f64 (/.f64 n f) f)) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f (-.f64 f (*.f64 (/.f64 n f) f)) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)))) (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f (-.f64 f (*.f64 (/.f64 n f) f)) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 3 binary64)) (fma.f64 f (-.f64 f (*.f64 (/.f64 n f) f)) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)))) (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f (-.f64 f (*.f64 (/.f64 n f) f)) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 n f) f) f)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 f f) (-.f64 (*.f64 (/.f64 n f) f) f)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 n f) f) f)) (/.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 n f) f) f)) (fma.f64 (/.f64 (*.f64 f f) (-.f64 (*.f64 (/.f64 n f) f) f)) (/.f64 (*.f64 f f) (-.f64 (*.f64 (/.f64 n f) f) f)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 n f) f) f)) (/.f64 (*.f64 f f) (-.f64 (*.f64 (/.f64 n f) f) f))))))
(/.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 n) (/.f64 f f)) #s(literal 3 binary64))) (fma.f64 f f (+.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)) (*.f64 f (*.f64 (neg.f64 n) (/.f64 f f))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 3 binary64)) (fma.f64 f (-.f64 f (*.f64 (/.f64 n f) f)) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f (-.f64 f (*.f64 (/.f64 n f) f)) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 3 binary64)) (fma.f64 f (-.f64 f (*.f64 (/.f64 n f) f)) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 3 binary64)) (fma.f64 f (-.f64 f (*.f64 (/.f64 n f) f)) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f (-.f64 f (*.f64 (/.f64 n f) f)) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)))) (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f (-.f64 f (*.f64 (/.f64 n f) f)) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 3 binary64)) (fma.f64 f (-.f64 f (*.f64 (/.f64 n f) f)) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)))) (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f (-.f64 f (*.f64 (/.f64 n f) f)) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 f f) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)))) (neg.f64 (-.f64 f (*.f64 (/.f64 n f) f))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)) (*.f64 f f)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 n f) f) f))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 f (-.f64 f (*.f64 (/.f64 n f) f)) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 n f) f) f)) (*.f64 (-.f64 (*.f64 (/.f64 n f) f) f) (*.f64 f f))) (*.f64 (-.f64 (*.f64 (/.f64 n f) f) f) (-.f64 (*.f64 (/.f64 n f) f) f)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 3 binary64)) (fma.f64 f (-.f64 f (*.f64 (/.f64 n f) f)) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64))) (*.f64 (fma.f64 f (-.f64 f (*.f64 (/.f64 n f) f)) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64))) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (fma.f64 f (-.f64 f (*.f64 (/.f64 n f) f)) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64))) (fma.f64 f (-.f64 f (*.f64 (/.f64 n f) f)) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 f f) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64))) (-.f64 f (*.f64 (/.f64 n f) f)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)) (*.f64 f f))) (neg.f64 (-.f64 (*.f64 (/.f64 n f) f) f)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (fma.f64 f f (-.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 n f) f) f)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (fma.f64 f (-.f64 f (*.f64 (/.f64 n f) f)) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)) (*.f64 f f)) (-.f64 (*.f64 (/.f64 n f) f) f))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (fma.f64 f f (-.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 n f) f) f))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (fma.f64 f (-.f64 f (*.f64 (/.f64 n f) f)) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64))))
(fma.f64 (/.f64 n f) f f)
(fma.f64 f (/.f64 n f) f)
(fma.f64 n (/.f64 f f) f)
(-.f64 (/.f64 (*.f64 f f) (-.f64 f (*.f64 (/.f64 n f) f))) (/.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)) (-.f64 f (*.f64 (/.f64 n f) f))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 n f) f) f)) (/.f64 (*.f64 f f) (-.f64 (*.f64 (/.f64 n f) f) f)))
(-.f64 f (*.f64 (/.f64 (neg.f64 n) f) f))
(-.f64 f (*.f64 (/.f64 n (neg.f64 f)) f))
(-.f64 f (*.f64 (neg.f64 n) (/.f64 f f)))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 3 binary64)) (fma.f64 f f (-.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 n f) f) f)))) (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f f (-.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 n f) f) f)))))
(+.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f f (-.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 n f) f) f)))) (/.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 3 binary64)) (fma.f64 f f (-.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 n f) f) f)))))
(+.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f (-.f64 f (*.f64 (/.f64 n f) f)) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 3 binary64)) (fma.f64 f (-.f64 f (*.f64 (/.f64 n f) f)) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 3 binary64)) (fma.f64 f (-.f64 f (*.f64 (/.f64 n f) f)) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)))) (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f (-.f64 f (*.f64 (/.f64 n f) f)) (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 n f) f) f)) (/.f64 (*.f64 (neg.f64 f) f) (-.f64 (*.f64 (/.f64 n f) f) f)))
(+.f64 (*.f64 (/.f64 n f) f) f)
(+.f64 f (*.f64 (neg.f64 (neg.f64 (/.f64 n f))) f))
(+.f64 f (*.f64 (neg.f64 (neg.f64 f)) (/.f64 n f)))
(+.f64 f (*.f64 (/.f64 n f) f))
(*.f64 (neg.f64 (/.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f)) (*.f64 (+.f64 f n) (-.f64 f n)))) (+.f64 f n))
(*.f64 (neg.f64 (/.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (fma.f64 f f (*.f64 n (+.f64 f n))))
(*.f64 (/.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f)) (*.f64 (+.f64 f n) (-.f64 f n))) (neg.f64 (+.f64 f n)))
(*.f64 (/.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (fma.f64 f f (*.f64 n (+.f64 f n)))))
(*.f64 (/.f64 (neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f))) (*.f64 (+.f64 f n) (-.f64 f n))) (+.f64 f n))
(*.f64 (/.f64 (neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f))) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 f f (*.f64 n (+.f64 f n))))
(/.f64 (*.f64 (neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f))) (fma.f64 n n (*.f64 (neg.f64 f) f))) (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 n f)))
(/.f64 (*.f64 (neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f))) (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (neg.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)))))
(/.f64 (*.f64 (neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f))) (*.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))) (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (neg.f64 (-.f64 f n))))
(/.f64 (*.f64 (neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f))) (*.f64 (+.f64 f n) (-.f64 f n))) (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 f n)))
(/.f64 (*.f64 (neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f))) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 n n (fma.f64 f f (*.f64 (neg.f64 n) f)))))
(/.f64 (*.f64 (neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f))) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 n (-.f64 n f) (*.f64 f f))))
(/.f64 (*.f64 (neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f))) (-.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (*.f64 n (+.f64 f n)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (-.f64 (*.f64 f f) (*.f64 n (+.f64 f n)))))
(/.f64 (*.f64 (neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f))) (+.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 (*.f64 n (+.f64 f n)) #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (+.f64 (pow.f64 f #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 n (+.f64 f n)) #s(literal 2 binary64)) (*.f64 (*.f64 f f) (*.f64 n (+.f64 f n)))))))
(/.f64 (neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f))) (neg.f64 (neg.f64 (-.f64 f n))))
(/.f64 (neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f))) (-.f64 f n))
(/.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f)) (neg.f64 (neg.f64 (neg.f64 (-.f64 f n)))))
(/.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f)) (neg.f64 (-.f64 f n)))
(neg.f64 (*.f64 (/.f64 (neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f))) (*.f64 (+.f64 f n) (-.f64 f n))) (neg.f64 (+.f64 f n))))
(neg.f64 (/.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f)) (-.f64 f n)))
(neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f)))
#s(approx (+ f n) (fma.f64 (/.f64 n f) f f))
(neg.f64 (neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f))))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (*.f64 (+.f64 f n) (-.f64 f n))) (+.f64 f n))
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(+.f64 (/.f64 #s(literal -8 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 n f) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) f) n) #s(literal -2 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) f) n) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 n f) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) f) n) #s(literal -2 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) f) n) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 n f) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) f) n) #s(literal -2 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 n f) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) f) n) #s(literal -2 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal -2 binary64) f) n) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -2 binary64) f))) n))
(+.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (neg.f64 n)) (/.f64 #s(literal -2 binary64) f)))
(+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -2 binary64) f) n))

eval72.0ms (1.7%)

Memory
-14.3MiB live, 105.8MiB allocated
Compiler

Compiled 14 310 to 1 681 computations (88.3% saved)

prune10.0ms (0.2%)

Memory
28.0MiB live, 28.0MiB allocated
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New3762378
Fresh033
Picked145
Done011
Total37710387
Accuracy
100.0%
Counts
387 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
86.2%
(/.f64 (neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f))) (-.f64 f n))
51.4%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
49.8%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
48.9%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))
51.1%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #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) n) f #s(literal 1 binary64)))
50.1%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
50.3%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
48.7%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 211 to 148 computations (29.9% saved)

simplify160.0ms (3.7%)

Memory
-34.5MiB live, 134.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
027163
044163
176163
2148163
3407163
41311163
53805163
66656163
08032163
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.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
#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) 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)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n)
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
n
f
#s(literal 1 binary64)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(fma.f64 (/.f64 n f) n n)
(/.f64 n f)
n
f
(/.f64 #s(literal -2 binary64) f)
#s(literal -2 binary64)
#s(literal -1 binary64)
Outputs
(/.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
#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) 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)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n)
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
n
f
#s(literal 1 binary64)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(fma.f64 (/.f64 n f) n n)
(/.f64 n f)
n
f
(/.f64 #s(literal -2 binary64) f)
#s(literal -2 binary64)
#s(literal -1 binary64)

localize66.0ms (1.5%)

Memory
20.8MiB live, 56.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal -2 binary64) f)
accuracy0.0625
(fma.f64 (/.f64 n f) n n)
accuracy2.883425298807995
(fma.f64 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
accuracy32.67157150903699
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))
accuracy0.078125
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))
accuracy0.0859375
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n)
accuracy0.9777563860405653
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
accuracy31.296365100668968
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64)))
accuracy0.0
(/.f64 #s(literal -2 binary64) f)
accuracy0.12890625
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
accuracy31.93533742695234
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
accuracy31.837152868177892
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
accuracy0.0
(-.f64 f n)
accuracy0.0
(neg.f64 n)
accuracy0.033535009768442016
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
accuracy31.244854220396743
#s(approx (neg (+ f n)) (neg.f64 n))
Samples
51.0ms256×0valid
Compiler

Compiled 134 to 27 computations (79.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 8.0ms (31% of total)
ival-add: 7.0ms (27.2% of total)
ival-mult: 7.0ms (27.2% of total)
ival-neg: 2.0ms (7.8% of total)
ival-sub: 1.0ms (3.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory
14.2MiB live, 14.2MiB allocated
Counts
16 → 72
Calls
Call 1
Inputs
(/.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)
#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) 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(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n)
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(fma.f64 (/.f64 n f) n 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)
(* -2 (/ n f))
(/ (+ (* -2 n) (* -1 f)) f)
(/ -2 f)
(/ 2 n)
(+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))
2
(+ 2 (* 2 (/ f n)))
(* -2 (/ (pow n 2) (pow f 2)))
(/ (+ (* -2 (* f n)) (* -2 (pow n 2))) (pow f 2))
(/ (+ (* -2 (pow n 2)) (* f (+ (* -2 n) (* -1 f)))) (pow f 2))
(/ (pow n 2) f)
(/ (+ (* f n) (pow n 2)) f)
(/ n 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)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (* -1 (/ n f))))
(- (* -2 (/ n f)) 1)
(* 2 (/ (pow f 2) (pow n 2)))
(* (pow f 2) (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2)))))
(* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n)))))
(* 2 (/ f (pow n 2)))
(* f (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2)))))
(* 2 (/ f n))
(* f (+ (* 2 (/ 1 f)) (* 2 (/ 1 n))))
(- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1)
n
(+ n (/ (pow n 2) 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 (- (/ n f) 1)))
(* f (+ (* 2 (/ 1 n)) (* 2 (/ 1 f))))
(- (* -1 (/ (+ (* 2 n) (* 2 (/ (pow n 2) f))) 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))
(/ (+ (* 2 (* f n)) (* 2 (pow f 2))) (pow n 2))
(/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2))
(/ (+ (* 2 f) (* 2 n)) (pow n 2))
(/ (+ (* 2 f) (* 2 n)) n)
(* n (+ 1 (/ 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))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(+ 1 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2)))))
(/ (+ 2 (* 2 (/ f n))) n)
(* -1 (* (pow n 2) (+ (* 2 (/ 1 (pow f 2))) (* 2 (/ 1 (* f n))))))
(* (pow n 2) (- (* -1 (/ (+ (* 2 (/ 1 f)) (/ 1 n)) n)) (* 2 (/ 1 (pow f 2)))))
(* (pow n 2) (+ (/ 1 f) (/ 1 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 (* -1 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) n)))
(* -1 (/ (- (* -2 (/ f n)) 2) n))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
f
@-inf
((/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (/ (neg (+ f n)) (- f n)) (+ (* (/ (+ (* (/ 2 n) f) 2) n) f) 1) (/ (+ (* (/ 2 n) f) 2) n) (+ (* (/ 2 n) f) 2) (/ (neg (+ f n)) (- f n)) (+ (* (+ (* (/ n f) n) n) (/ -2 f)) -1) (+ (* (/ n f) n) n) (/ n f))
2.0ms
n
@-inf
((/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (/ (neg (+ f n)) (- f n)) (+ (* (/ (+ (* (/ 2 n) f) 2) n) f) 1) (/ (+ (* (/ 2 n) f) 2) n) (+ (* (/ 2 n) f) 2) (/ (neg (+ f n)) (- f n)) (+ (* (+ (* (/ n f) n) n) (/ -2 f)) -1) (+ (* (/ n f) n) n) (/ n f))
2.0ms
f
@0
((/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (/ (neg (+ f n)) (- f n)) (+ (* (/ (+ (* (/ 2 n) f) 2) n) f) 1) (/ (+ (* (/ 2 n) f) 2) n) (+ (* (/ 2 n) f) 2) (/ (neg (+ f n)) (- f n)) (+ (* (+ (* (/ n f) n) n) (/ -2 f)) -1) (+ (* (/ n f) n) n) (/ n f))
2.0ms
f
@inf
((/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (/ (neg (+ f n)) (- f n)) (+ (* (/ (+ (* (/ 2 n) f) 2) n) f) 1) (/ (+ (* (/ 2 n) f) 2) n) (+ (* (/ 2 n) f) 2) (/ (neg (+ f n)) (- f n)) (+ (* (+ (* (/ n f) n) n) (/ -2 f)) -1) (+ (* (/ n f) n) n) (/ n f))
2.0ms
n
@inf
((/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (/ (neg (+ f n)) (- f n)) (+ (* (/ (+ (* (/ 2 n) f) 2) n) f) 1) (/ (+ (* (/ 2 n) f) 2) n) (+ (* (/ 2 n) f) 2) (/ (neg (+ f n)) (- f n)) (+ (* (+ (* (/ n f) n) n) (/ -2 f)) -1) (+ (* (/ n f) n) n) (/ n f))

simplify228.0ms (5.3%)

Memory
-18.2MiB live, 174.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0224754
1766684
22849636
08742571
Stop Event
iter limit
node limit
Counts
72 → 70
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)
(* -2 (/ n f))
(/ (+ (* -2 n) (* -1 f)) f)
(/ -2 f)
(/ 2 n)
(+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))
2
(+ 2 (* 2 (/ f n)))
(* -2 (/ (pow n 2) (pow f 2)))
(/ (+ (* -2 (* f n)) (* -2 (pow n 2))) (pow f 2))
(/ (+ (* -2 (pow n 2)) (* f (+ (* -2 n) (* -1 f)))) (pow f 2))
(/ (pow n 2) f)
(/ (+ (* f n) (pow n 2)) f)
(/ n 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)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (* -1 (/ n f))))
(- (* -2 (/ n f)) 1)
(* 2 (/ (pow f 2) (pow n 2)))
(* (pow f 2) (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2)))))
(* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n)))))
(* 2 (/ f (pow n 2)))
(* f (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2)))))
(* 2 (/ f n))
(* f (+ (* 2 (/ 1 f)) (* 2 (/ 1 n))))
(- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1)
n
(+ n (/ (pow n 2) 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 (- (/ n f) 1)))
(* f (+ (* 2 (/ 1 n)) (* 2 (/ 1 f))))
(- (* -1 (/ (+ (* 2 n) (* 2 (/ (pow n 2) f))) 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))
(/ (+ (* 2 (* f n)) (* 2 (pow f 2))) (pow n 2))
(/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2))
(/ (+ (* 2 f) (* 2 n)) (pow n 2))
(/ (+ (* 2 f) (* 2 n)) n)
(* n (+ 1 (/ 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))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(+ 1 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2)))))
(/ (+ 2 (* 2 (/ f n))) n)
(* -1 (* (pow n 2) (+ (* 2 (/ 1 (pow f 2))) (* 2 (/ 1 (* f n))))))
(* (pow n 2) (- (* -1 (/ (+ (* 2 (/ 1 f)) (/ 1 n)) n)) (* 2 (/ 1 (pow f 2)))))
(* (pow n 2) (+ (/ 1 f) (/ 1 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 (* -1 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) n)))
(* -1 (/ (- (* -2 (/ f n)) 2) n))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #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 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) (*.f64 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)
(- f n)
(-.f64 f n)
(* -2 (/ n f))
(*.f64 (/.f64 #s(literal -2 binary64) f) n)
(/ (+ (* -2 n) (* -1 f)) f)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
(+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n)
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))
(* -2 (/ (pow n 2) (pow f 2)))
(*.f64 (*.f64 (/.f64 (/.f64 n f) f) #s(literal -2 binary64)) n)
(/ (+ (* -2 (* f n)) (* -2 (pow n 2))) (pow f 2))
(*.f64 (/.f64 (fma.f64 (/.f64 n f) n n) f) #s(literal -2 binary64))
(/ (+ (* -2 (pow n 2)) (* f (+ (* -2 n) (* -1 f)))) (pow f 2))
(fma.f64 (/.f64 (fma.f64 (/.f64 n f) n n) f) #s(literal -2 binary64) #s(literal -1 binary64))
(/ (pow n 2) f)
(*.f64 (/.f64 n f) n)
(/ (+ (* f n) (pow n 2)) f)
(fma.f64 (/.f64 n f) n n)
(/ n 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 (fma.f64 (/.f64 n f) n n) f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(-.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)
(neg.f64 f)
(* f (- (* -1 (/ n f)) 1))
(*.f64 (-.f64 (/.f64 (neg.f64 n) f) #s(literal 1 binary64)) f)
f
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(* 2 (/ (pow f 2) (pow n 2)))
(*.f64 (*.f64 f (/.f64 (/.f64 f n) n)) #s(literal 2 binary64))
(* (pow f 2) (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2)))))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f)
(* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(* 2 (/ f (pow n 2)))
(*.f64 (/.f64 (/.f64 f n) n) #s(literal 2 binary64))
(* f (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2)))))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n)
(* 2 (/ f n))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(* f (+ (* 2 (/ 1 f)) (* 2 (/ 1 n))))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))
(- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1)
(fma.f64 (/.f64 (fma.f64 (/.f64 n f) n n) f) #s(literal -2 binary64) #s(literal -1 binary64))
n
(+ n (/ (pow n 2) f))
(fma.f64 (/.f64 n f) n 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 (fma.f64 (/.f64 n f) n n) f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(-.f64 (/.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 (- (/ n f) 1)))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) (neg.f64 f))
(* f (+ (* 2 (/ 1 n)) (* 2 (/ 1 f))))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))
(- (* -1 (/ (+ (* 2 n) (* 2 (/ (pow n 2) f))) f)) 1)
(fma.f64 (/.f64 (fma.f64 (/.f64 n f) n n) f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 (fma.f64 (/.f64 n f) n n) f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(-.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #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)
(/ (+ (* 2 (* f n)) (* 2 (pow f 2))) (pow n 2))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f)
(/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(/ (+ (* 2 f) (* 2 n)) (pow n 2))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n)
(/ (+ (* 2 f) (* 2 n)) n)
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))
(* n (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) n n)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #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 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) (*.f64 n n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* n (- (* -1 (/ f n)) 1))
(*.f64 (-.f64 (/.f64 (neg.f64 f) n) #s(literal 1 binary64)) 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 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(/ (+ 2 (* 2 (/ f n))) n)
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n)
(* -1 (* (pow n 2) (+ (* 2 (/ 1 (pow f 2))) (* 2 (/ 1 (* f n))))))
(*.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) f) (/.f64 #s(literal -2 binary64) n)) f) n) (neg.f64 n))
(* (pow n 2) (- (* -1 (/ (+ (* 2 (/ 1 f)) (/ 1 n)) n)) (* 2 (/ 1 (pow f 2)))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -2 binary64) f)) n) (/.f64 (/.f64 #s(literal 2 binary64) f) f)) (*.f64 n n))
(* (pow n 2) (+ (/ 1 f) (/ 1 n)))
(fma.f64 (/.f64 n f) n n)
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #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 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) (*.f64 n n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 (* n (+ 1 (/ f n))))
(neg.f64 (fma.f64 (/.f64 f n) n n))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(fma.f64 (/.f64 f n) n (neg.f64 n))
(+ 1 (* -1 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) n)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(* -1 (/ (- (* -2 (/ f n)) 2) n))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n)

rewrite189.0ms (4.4%)

Memory
11.8MiB live, 259.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027142
044142
1163142
21104142
08311142
Stop Event
iter limit
node limit
iter limit
Counts
16 → 307
Calls
Call 1
Inputs
(/.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)
#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) 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(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n)
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(fma.f64 (/.f64 n f) n n)
(/.f64 n f)
Outputs
(*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (*.f64 (+.f64 n f) (-.f64 f n))) (+.f64 n f))
(*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 n (+.f64 n f) (*.f64 f f)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (neg (+ f n)) (neg.f64 n))))) (neg.f64 (-.f64 f n)))
(/.f64 (neg.f64 (neg.f64 #s(approx (neg (+ f n)) (neg.f64 n)))) (-.f64 f n))
(/.f64 (neg.f64 #s(approx (neg (+ f n)) (neg.f64 n))) (neg.f64 (-.f64 f n)))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
(neg.f64 (*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (*.f64 (+.f64 n f) (-.f64 f n))) (neg.f64 (+.f64 n f))))
(neg.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (neg.f64 (-.f64 f n))))
(fma.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (*.f64 (+.f64 n f) (-.f64 f n))) (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 n (-.f64 n f) (*.f64 f f))) (*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (*.f64 (+.f64 n f) (-.f64 f n))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n (-.f64 n f) (*.f64 f f)))))
(fma.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (*.f64 (+.f64 n f) (-.f64 f n))) (neg.f64 (neg.f64 f)) (*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (*.f64 (+.f64 n f) (-.f64 f n))) (neg.f64 (neg.f64 n))))
(fma.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (*.f64 (+.f64 n f) (-.f64 f n))) n (*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (*.f64 (+.f64 n f) (-.f64 f n))) f))
(fma.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (*.f64 (+.f64 n f) (-.f64 f n))) f (*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (*.f64 (+.f64 n f) (-.f64 f n))) n))
(fma.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 f f (*.f64 n n)) (*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 n f)))
(fma.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 n (+.f64 n f)) (*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 f f)))
(fma.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 f f) (*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 n (+.f64 n f))))
(+.f64 (*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (*.f64 (+.f64 n f) (-.f64 f n))) (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 n (-.f64 n f) (*.f64 f f)))) (*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (*.f64 (+.f64 n f) (-.f64 f n))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n (-.f64 n f) (*.f64 f f)))))
(+.f64 (*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (*.f64 (+.f64 n f) (-.f64 f n))) (neg.f64 (neg.f64 f))) (*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (*.f64 (+.f64 n f) (-.f64 f n))) (neg.f64 (neg.f64 n))))
(+.f64 (*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (*.f64 (+.f64 n f) (-.f64 f n))) n) (*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (*.f64 (+.f64 n f) (-.f64 f n))) f))
(+.f64 (*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (*.f64 (+.f64 n f) (-.f64 f n))) f) (*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (*.f64 (+.f64 n f) (-.f64 f n))) n))
(+.f64 (*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 f f (*.f64 n n))) (*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 n f)))
(+.f64 (*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 n (+.f64 n f))) (*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 f f)))
(+.f64 (*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 f f)) (*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 n (+.f64 n f))))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
(*.f64 (/.f64 (+.f64 n f) (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (-.f64 f n) (fma.f64 n (+.f64 n f) (*.f64 f f))))
(*.f64 (/.f64 (+.f64 n f) (*.f64 (/.f64 (+.f64 n f) (+.f64 n f)) (/.f64 (-.f64 f n) (-.f64 f n)))) (/.f64 (-.f64 f n) (+.f64 n f)))
(*.f64 (*.f64 (/.f64 (+.f64 n f) (+.f64 n f)) (/.f64 (-.f64 f n) (-.f64 f n))) (-.f64 f n))
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(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 n f) n n) (*.f64 (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) f) (fma.f64 (/.f64 n f) n n)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 n f) n n) (*.f64 (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) f) (fma.f64 (/.f64 n f) n n)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f)))
(*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) n)
(*.f64 n (+.f64 (/.f64 n f) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 n f) n) n)) (/.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 n f) n) n))) (*.f64 (/.f64 (*.f64 n n) (-.f64 (*.f64 (/.f64 n f) n) n)) (/.f64 (*.f64 n n) (-.f64 (*.f64 (/.f64 n f) n) n)))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 n f) n) n)) (/.f64 (*.f64 n n) (-.f64 (*.f64 (/.f64 n f) n) n))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 3 binary64)) (fma.f64 n (-.f64 n (*.f64 (/.f64 n f) n)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 3 binary64)) (fma.f64 n (-.f64 n (*.f64 (/.f64 n f) n)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n (-.f64 n (*.f64 (/.f64 n f) n)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n (-.f64 n (*.f64 (/.f64 n f) n)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 3 binary64)) (fma.f64 n (-.f64 n (*.f64 (/.f64 n f) n)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n (-.f64 n (*.f64 (/.f64 n f) n)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 n f) n) n)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 n n) (-.f64 (*.f64 (/.f64 n f) n) n)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 n f) n) n)) (/.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 n f) n) n)) (fma.f64 (/.f64 (*.f64 n n) (-.f64 (*.f64 (/.f64 n f) n) n)) (/.f64 (*.f64 n n) (-.f64 (*.f64 (/.f64 n f) n) n)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 n f) n) n)) (/.f64 (*.f64 n n) (-.f64 (*.f64 (/.f64 n f) n) n))))))
(/.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 n) f) n) #s(literal 3 binary64))) (fma.f64 n n (+.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)) (*.f64 n (*.f64 (/.f64 (neg.f64 n) f) n)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 3 binary64)) (fma.f64 n (-.f64 n (*.f64 (/.f64 n f) n)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n (-.f64 n (*.f64 (/.f64 n f) n)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 3 binary64)) (fma.f64 n (-.f64 n (*.f64 (/.f64 n f) n)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 3 binary64)) (fma.f64 n (-.f64 n (*.f64 (/.f64 n f) n)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n (-.f64 n (*.f64 (/.f64 n f) n)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n (-.f64 n (*.f64 (/.f64 n f) n)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 3 binary64)) (fma.f64 n (-.f64 n (*.f64 (/.f64 n f) n)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n (-.f64 n (*.f64 (/.f64 n f) n)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 n n) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)))) (neg.f64 (-.f64 n (*.f64 (/.f64 n f) n))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)) (*.f64 n n)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 n f) n) n))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 n (-.f64 n (*.f64 (/.f64 n f) n)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 n f) n) n)) (*.f64 (-.f64 (*.f64 (/.f64 n f) n) n) (*.f64 n n))) (*.f64 (-.f64 (*.f64 (/.f64 n f) n) n) (-.f64 (*.f64 (/.f64 n f) n) n)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 3 binary64)) (fma.f64 n (-.f64 n (*.f64 (/.f64 n f) n)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64))) (*.f64 (fma.f64 n (-.f64 n (*.f64 (/.f64 n f) n)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64))) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (fma.f64 n (-.f64 n (*.f64 (/.f64 n f) n)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64))) (fma.f64 n (-.f64 n (*.f64 (/.f64 n f) n)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 n n) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64))) (-.f64 n (*.f64 (/.f64 n f) n)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)) (*.f64 n n))) (neg.f64 (-.f64 (*.f64 (/.f64 n f) n) n)))
(/.f64 (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 3 binary64)))) (neg.f64 (fma.f64 n n (-.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)) (/.f64 (pow.f64 n #s(literal 3 binary64)) f)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 3 binary64)))) (neg.f64 (fma.f64 n (-.f64 n (*.f64 (/.f64 n f) n)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)) (*.f64 n n)) (-.f64 (*.f64 (/.f64 n f) n) n))
(/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 3 binary64))) (fma.f64 n n (-.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)) (/.f64 (pow.f64 n #s(literal 3 binary64)) f))))
(/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 3 binary64))) (fma.f64 n (-.f64 n (*.f64 (/.f64 n f) n)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (fma.f64 (/.f64 n f) n n)))
(fma.f64 (/.f64 n f) n (*.f64 n #s(literal 1 binary64)))
(fma.f64 (/.f64 n f) n n)
(fma.f64 n (/.f64 n f) (*.f64 n #s(literal 1 binary64)))
(fma.f64 n (/.f64 n f) n)
(fma.f64 n #s(literal 1 binary64) (*.f64 (/.f64 n f) n))
(-.f64 (/.f64 (*.f64 n n) (-.f64 n (*.f64 (/.f64 n f) n))) (/.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)) (-.f64 n (*.f64 (/.f64 n f) n))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 n f) n) n)) (/.f64 (*.f64 n n) (-.f64 (*.f64 (/.f64 n f) n) n)))
(-.f64 n (*.f64 (/.f64 (neg.f64 n) f) n))
(+.f64 (*.f64 n #s(literal 1 binary64)) (*.f64 (/.f64 n f) n))
(+.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n n (-.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)) (/.f64 (pow.f64 n #s(literal 3 binary64)) f)))) (/.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 3 binary64)) (fma.f64 n n (-.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)) (/.f64 (pow.f64 n #s(literal 3 binary64)) f)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 3 binary64)) (fma.f64 n n (-.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)) (/.f64 (pow.f64 n #s(literal 3 binary64)) f)))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n n (-.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)) (/.f64 (pow.f64 n #s(literal 3 binary64)) f)))))
(+.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n (-.f64 n (*.f64 (/.f64 n f) n)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 3 binary64)) (fma.f64 n (-.f64 n (*.f64 (/.f64 n f) n)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 3 binary64)) (fma.f64 n (-.f64 n (*.f64 (/.f64 n f) n)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n (-.f64 n (*.f64 (/.f64 n f) n)) (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 n f) n) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 n f) n) n)) (/.f64 (*.f64 (neg.f64 n) n) (-.f64 (*.f64 (/.f64 n f) n) n)))
(+.f64 (*.f64 (/.f64 n f) n) (*.f64 n #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 n f) n) n)
(+.f64 n (*.f64 (neg.f64 (neg.f64 n)) (/.f64 n f)))
(+.f64 n (*.f64 (/.f64 n f) n))
(/.f64 (neg.f64 (neg.f64 (neg.f64 n))) (neg.f64 (neg.f64 (neg.f64 f))))
(/.f64 (neg.f64 (neg.f64 n)) (neg.f64 (neg.f64 f)))
(/.f64 (neg.f64 (neg.f64 n)) f)
(/.f64 (neg.f64 n) (neg.f64 f))
(/.f64 n (neg.f64 (neg.f64 f)))
(/.f64 n f)
(neg.f64 (/.f64 (neg.f64 n) f))

eval52.0ms (1.2%)

Memory
-9.1MiB live, 106.3MiB allocated
Compiler

Compiled 14 746 to 1 473 computations (90% saved)

prune43.0ms (1%)

Memory
-10.7MiB live, 34.0MiB allocated
Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New3480348
Fresh000
Picked055
Done055
Total34810358
Accuracy
100.0%
Counts
358 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
86.2%
(/.f64 (neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f))) (-.f64 f n))
51.4%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
49.8%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
48.9%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))
51.1%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #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) n) f #s(literal 1 binary64)))
50.1%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
50.3%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
48.7%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 291 to 140 computations (51.9% saved)

regimes12.0ms (0.3%)

Memory
15.2MiB live, 15.2MiB 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 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f))) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (fma.f64 (/.f64 n f) n n) (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n) #s(literal 1 binary64)))
Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Calls

3 calls:

4.0ms
f
4.0ms
n
3.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
99.9%1f
99.9%1n
99.9%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

regimes8.0ms (0.2%)

Memory
11.1MiB live, 11.1MiB 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:

3.0ms
f
3.0ms
n
2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
78.7%3f
78.4%3n
98.8%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

regimes93.0ms (2.2%)

Memory
-35.2MiB live, 3.5MiB 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:

92.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
97.9%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
2.9MiB live, 2.9MiB 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:

2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
97.5%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
2.6MiB live, 2.6MiB 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
97.5%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
97.4%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB 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
f
1.0ms
n
1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
48.7%1n
48.7%1f
48.7%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999857569906
0.9962305915464315
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
-0.9999999857569906
0.9962305915464315
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
-0.9999999857569906
0.9962305915464315
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
-0.9999999857569906
0.9962305915464315
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch13.0ms (0.3%)

Memory
14.0MiB live, 14.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-0.9999999857569906
0.9962305915464315
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)

simplify131.0ms (3%)

Memory
-19.2MiB live, 57.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037192
157192
276192
391192
4102192
5121192
6152192
7178192
8224192
9247192
10426192
112884192
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 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 -1/2 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 -1/2 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 -1/2 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 -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 (neg.f64 (+.f64 f n)) (-.f64 f n))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 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 -1/2 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 -1/2 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 -1/2 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 -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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))

soundness989.0ms (23%)

Memory
16.4MiB live, 359.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0206668
1684623
22511577
08655522
0145444
1462415
21605357
37385357
08606327
Stop Event
done
iter limit
node limit
iter limit
node limit
Compiler

Compiled 248 to 93 computations (62.5% saved)

preprocess39.0ms (0.9%)

Memory
2.1MiB live, 78.7MiB allocated
Compiler

Compiled 400 to 86 computations (78.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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