subtraction fraction

Time bar (total: 5.0s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze13.0ms (0.3%)

Memory
23.1MiB live, 23.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample633.0ms (12.7%)

Memory
59.6MiB live, 766.0MiB allocated
Samples
377.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 216.0ms
ival-div: 58.0ms (26.8% of total)
ival-add: 52.0ms (24.1% of total)
ival-neg: 51.0ms (23.6% of total)
ival-sub: 45.0ms (20.8% of total)
ival-true: 6.0ms (2.8% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

explain82.0ms (1.7%)

Memory
-5.1MiB live, 115.3MiB 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
26.0ms512×0valid
Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 5.0ms (36.2% of total)
ival-sub: 3.0ms (21.7% of total)
ival-add: 3.0ms (21.7% of total)
ival-neg: 2.0ms (14.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess56.0ms (1.1%)

Memory
8.5MiB live, 47.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01846
16135
217235
345535
4121535
5148735
6154435
7161235
8166935
068
0108
1218
2418
3787
41657
53127
66137
77397
87717
97877
107887
07887
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (+.f64 n f) (-.f64 n f))
Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify26.0ms (0.5%)

Memory
-29.1MiB live, 15.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 f n)
cost-diff0
(+.f64 f n)
cost-diff0
(neg.f64 (+.f64 f n))
cost-diff128
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0620
01020
12120
24120
37819
416519
531219
661319
773919
877119
978719
1078819
078819
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(neg.f64 (+.f64 f n))
(+.f64 f n)
f
n
(-.f64 f n)
Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (+.f64 n f) (-.f64 n f))
(neg.f64 (+.f64 f n))
(neg.f64 (+.f64 n f))
(+.f64 f n)
(+.f64 n f)
f
n
(-.f64 f n)

localize18.0ms (0.4%)

Memory
25.9MiB live, 25.9MiB 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))
accuracy0.0234375
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Samples
12.0ms256×0valid
Compiler

Compiled 42 to 14 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (33.8% of total)
ival-add: 2.0ms (33.8% of total)
ival-sub: 1.0ms (16.9% of total)
ival-neg: 1.0ms (16.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
-31.8MiB live, 6.5MiB 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
4.0ms
n
@0
((/ (neg (+ f n)) (- f n)) (neg (+ f n)) (+ f n) (- f n))
2.0ms
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
@-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))

simplify274.0ms (5.5%)

Memory
20.5MiB live, 136.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite127.0ms (2.6%)

Memory
8.8MiB live, 117.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0618
01018
14618
232717
0554717
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
4 → 572
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(neg.f64 (+.f64 f n))
(+.f64 f n)
(-.f64 f n)
Outputs
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))) (fma.f64 (+.f64 n f) n (*.f64 f f)))
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (neg.f64 n) n (*.f64 f f))) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 n f)))
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 n f))
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 n f))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 n f)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (fma.f64 (+.f64 n f) n (*.f64 f f)))
(*.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (+.f64 n f)) #s(literal 1 binary64)) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (+.f64 n f)) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (pow.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (+.f64 n f) (fma.f64 (-.f64 n f) n (*.f64 f f))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (+.f64 n f) (pow.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 n f) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 n f) n (*.f64 f f))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 n f) #s(literal 1 binary64)) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 n) n (*.f64 f f))) (pow.f64 (+.f64 n f) #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64))))
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(*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) #s(literal -1 binary64))))
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(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f f)) (*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (-.f64 n f) n)))
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 n)) f)
(+.f64 (*.f64 f (/.f64 f (+.f64 n f))) (neg.f64 (*.f64 n (/.f64 n (+.f64 n f)))))
(+.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) (neg.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f)))))
(+.f64 (neg.f64 n) f)
(+.f64 f (*.f64 #s(literal 1 binary64) (neg.f64 n)))
(+.f64 f (neg.f64 n))

eval135.0ms (2.7%)

Memory
-25.6MiB live, 156.4MiB allocated
Compiler

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

prune16.0ms (0.3%)

Memory
4.7MiB live, 53.4MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New5788586
Fresh000
Picked101
Done000
Total5798587
Accuracy
100.0%
Counts
587 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (+.f64 n f) (-.f64 n f))
51.3%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
▶50.7%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
51.8%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
▶50.4%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
▶51.0%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64)))
50.2%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
▶49.4%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 200 to 148 computations (26% saved)

simplify292.0ms (5.9%)

Memory
5.7MiB live, 80.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 2 binary64) n)
cost-diff0
(*.f64 (/.f64 #s(literal 2 binary64) n) f)
cost-diff0
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64)))
cost-diff128
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #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
(-.f64 f n)
cost-diff0
(neg.f64 f)
cost-diff0
#s(approx (neg (+ f n)) (neg.f64 f))
cost-diff0
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
cost-diff0
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
cost-diff0
(-.f64 n f)
cost-diff0
(+.f64 n f)
cost-diff0
(/.f64 (+.f64 n f) (-.f64 n f))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027133
042133
169133
2128130
3266130
4483130
51184130
63013130
74043130
84473130
94584130
104608130
114609130
124609130
134865130
144977130
154977130
164993130
174993130
185013130
195021130
205021130
215061130
225339130
05339128
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
n
f
(-.f64 n f)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
f
(-.f64 f n)
n
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) f)
#s(literal -2 binary64)
f
n
#s(literal -1 binary64)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) n) f)
(/.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
n
f
(-.f64 (/.f64 f n) #s(literal -1 binary64))
(/.f64 f n)
#s(literal -1 binary64)
#s(literal 1 binary64)
Outputs
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 n f)
(+.f64 f n)
n
f
(-.f64 n f)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
f
(-.f64 f n)
n
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) f)
#s(literal -2 binary64)
f
n
#s(literal -1 binary64)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (fma.f64 (/.f64 f n) f f) n) #s(literal 2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 (/.f64 f n) f f) n) #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) n) f)
(/.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
n
f
(-.f64 (/.f64 f n) #s(literal -1 binary64))
(/.f64 f n)
#s(literal -1 binary64)
#s(literal 1 binary64)

localize117.0ms (2.4%)

Memory
10.1MiB live, 87.9MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 (/.f64 f n) #s(literal -1 binary64))
accuracy0.08203125
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy0.44558012991579443
(*.f64 (/.f64 #s(literal 2 binary64) n) f)
accuracy31.364923175032807
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64)))
accuracy0.0
(/.f64 #s(literal -2 binary64) f)
accuracy0.109375
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
accuracy31.747470670503418
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
accuracy0.0
(-.f64 f n)
accuracy0.0
(neg.f64 f)
accuracy0.0234375
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
accuracy31.65843424315024
#s(approx (neg (+ f n)) (neg.f64 f))
accuracy32.406855525697274
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
accuracy0.0
(-.f64 n f)
accuracy0.0
(+.f64 n f)
accuracy0.0234375
(/.f64 (+.f64 n f) (-.f64 n f))
Samples
79.0ms256×0valid
Compiler

Compiled 242 to 52 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-add: 47.0ms (71.3% of total)
ival-div: 8.0ms (12.1% of total)
ival-sub: 4.0ms (6.1% of total)
ival-mult: 4.0ms (6.1% of total)
ival-neg: 2.0ms (3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series28.0ms (0.6%)

Memory
-9.8MiB live, 27.1MiB allocated
Counts
16 → 72
Calls
Call 1
Inputs
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
(-.f64 n f)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
(-.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) f)
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) n) f)
(/.f64 #s(literal 2 binary64) n)
(-.f64 (/.f64 f n) #s(literal -1 binary64))
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)))))
n
(+ f n)
(+ n (* -1 f))
(* -1 n)
(- (* -1 f) n)
(* -1 f)
(- f n)
(* -2 (/ n f))
(/ (+ (* -2 n) (* -1 f)) f)
(/ -2 f)
(* 2 (/ f n))
(+ 1 (/ f n))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
f
(* f (+ 1 (/ n f)))
(* 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)
(* f (- (* -1 (/ n f)) 1))
(* 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)))))
(/ f n)
(* f (+ (/ 1 f) (/ 1 n)))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (+ 1 (* -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)))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(- n f)
(- (* -1 n) f)
(+ f (* -1 n))
(/ (+ (* 2 (* f n)) (* 2 (pow f 2))) (pow n 2))
(/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2))
(/ 2 n)
(/ (+ f n) n)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(* n (+ 1 (/ f n)))
(* n (+ 1 (* -1 (/ f n))))
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(* n (- (* -1 (/ f n)) 1))
(* n (- (/ f n) 1))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(+ 1 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2)))))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* 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 (* -1 (/ f n)))))
(+ 1 (* -1 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) n)))
Calls

6 calls:

TimeVariablePointExpression
16.0ms
f
@inf
((/ (+ n f) (- n f)) (+ n f) (- n f) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (+ (* (* (/ 2 n) f) (- (/ f n) -1)) 1) (/ (neg (+ f n)) (- f n)) (* (/ 2 n) f) (/ 2 n) (- (/ f n) -1))
3.0ms
f
@-inf
((/ (+ n f) (- n f)) (+ n f) (- n f) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (+ (* (* (/ 2 n) f) (- (/ f n) -1)) 1) (/ (neg (+ f n)) (- f n)) (* (/ 2 n) f) (/ 2 n) (- (/ f n) -1))
2.0ms
f
@0
((/ (+ n f) (- n f)) (+ n f) (- n f) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (+ (* (* (/ 2 n) f) (- (/ f n) -1)) 1) (/ (neg (+ f n)) (- f n)) (* (/ 2 n) f) (/ 2 n) (- (/ f n) -1))
2.0ms
n
@0
((/ (+ n f) (- n f)) (+ n f) (- n f) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (+ (* (* (/ 2 n) f) (- (/ f n) -1)) 1) (/ (neg (+ f n)) (- f n)) (* (/ 2 n) f) (/ 2 n) (- (/ f n) -1))
2.0ms
n
@inf
((/ (+ n f) (- n f)) (+ n f) (- n f) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (+ (* (* (/ 2 n) f) (- (/ f n) -1)) 1) (/ (neg (+ f n)) (- f n)) (* (/ 2 n) f) (/ 2 n) (- (/ f n) -1))

simplify194.0ms (3.9%)

Memory
16.9MiB live, 171.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0243761
1762684
22415606
36967606
08189552
Stop Event
1×iter limit
1×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)))))
n
(+ f n)
(+ n (* -1 f))
(* -1 n)
(- (* -1 f) n)
(* -1 f)
(- f n)
(* -2 (/ n f))
(/ (+ (* -2 n) (* -1 f)) f)
(/ -2 f)
(* 2 (/ f n))
(+ 1 (/ f n))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
f
(* f (+ 1 (/ n f)))
(* 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)
(* f (- (* -1 (/ n f)) 1))
(* 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)))))
(/ f n)
(* f (+ (/ 1 f) (/ 1 n)))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (+ 1 (* -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)))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(- n f)
(- (* -1 n) f)
(+ f (* -1 n))
(/ (+ (* 2 (* f n)) (* 2 (pow f 2))) (pow n 2))
(/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2))
(/ 2 n)
(/ (+ f n) n)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(* n (+ 1 (/ f n)))
(* n (+ 1 (* -1 (/ f n))))
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(* n (- (* -1 (/ f n)) 1))
(* n (- (/ f n) 1))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(+ 1 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2)))))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* 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 (* -1 (/ f n)))))
(+ 1 (* -1 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) 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 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
n
(+ f n)
(+.f64 f n)
(+ n (* -1 f))
(-.f64 n f)
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(* -1 f)
(neg.f64 f)
(- f n)
(-.f64 f n)
(* -2 (/ n f))
(*.f64 (/.f64 n f) #s(literal -2 binary64))
(/ (+ (* -2 n) (* -1 f)) f)
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(* 2 (/ f n))
(*.f64 (/.f64 #s(literal 2 binary64) n) f)
(+ 1 (/ f n))
(-.f64 (/.f64 f n) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) f) f)) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
f
(* f (+ 1 (/ n f)))
(+.f64 f n)
(* f (- (/ n f) 1))
(-.f64 n f)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) f) f)) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 n) f)
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(* 2 (/ (pow f 2) (pow n 2)))
(*.f64 (*.f64 (/.f64 (/.f64 f n) n) f) #s(literal 2 binary64))
(* (pow f 2) (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2)))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) f) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) (*.f64 f f))
(* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n)))))
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) f) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) (*.f64 f f) #s(literal 1 binary64))
(/ f n)
(/.f64 f n)
(* f (+ (/ 1 f) (/ 1 n)))
(-.f64 (/.f64 f n) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 (/.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)) 1)))
(+.f64 f n)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(-.f64 (/.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))))
(-.f64 (neg.f64 n) f)
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) f) f)) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(- n f)
(-.f64 n f)
(- (* -1 n) f)
(-.f64 (neg.f64 n) f)
(+ f (* -1 n))
(-.f64 f n)
(/ (+ (* 2 (* f n)) (* 2 (pow f 2))) (pow n 2))
(*.f64 (/.f64 (*.f64 f (/.f64 (+.f64 f n) n)) n) #s(literal 2 binary64))
(/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2))
(/.f64 (fma.f64 (*.f64 (+.f64 f n) f) #s(literal 2 binary64) (*.f64 n n)) (*.f64 n n))
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
(/ (+ f n) n)
(/.f64 (+.f64 f n) n)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* n (+ 1 (/ f n)))
(+.f64 f n)
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 n) f)
(* n (- (/ f n) 1))
(-.f64 f n)
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(+ 1 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2)))))
(fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (fma.f64 (/.f64 f n) f f)) n)) n))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (fma.f64 (/.f64 f n) f f)) n)) n))
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 n) f)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 f n)
(+ 1 (* -1 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) n)))
(fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))

rewrite182.0ms (3.7%)

Memory
-43.8MiB live, 250.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027116
042116
1170116
21259113
08631111
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 684
Calls
Call 1
Inputs
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
(-.f64 n f)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
(-.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) f)
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) n) f)
(/.f64 #s(literal 2 binary64) n)
(-.f64 (/.f64 f n) #s(literal -1 binary64))
Outputs
(*.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (+.f64 f n)) #s(literal 1 binary64)) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (+.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 n f)))) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (+.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (pow.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (+.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (-.f64 n f)))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 f n)))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 n f)))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 n f)))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) (-.f64 n f)) (/.f64 (+.f64 f n) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) (-.f64 n f)) (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 n f)) (/.f64 (+.f64 f n) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 n f)) (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 f n) (-.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)) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 f n) (-.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)) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (-.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)) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 f n)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 f n)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (-.f64 (/.f64 f n) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (-.f64 (/.f64 f n) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (-.f64 (/.f64 f n) #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (-.f64 (/.f64 f n) #s(literal 1 binary64))) (pow.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (pow.f64 (/.f64 f n) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (pow.f64 (/.f64 f n) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (pow.f64 (/.f64 f n) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (pow.f64 (/.f64 f n) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (pow.f64 (/.f64 f n) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (pow.f64 (/.f64 f n) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (pow.f64 (/.f64 f n) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (pow.f64 (/.f64 f n) #s(literal 2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (neg.f64 f) n) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (/.f64 (neg.f64 f) n))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 f n) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (/.f64 f n))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (pow.f64 (/.f64 f n) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (-.f64 (/.f64 f n) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) (-.f64 (/.f64 f n) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (pow.f64 (/.f64 f n) #s(literal 2 binary64)))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (pow.f64 (/.f64 f n) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (pow.f64 (/.f64 f n) #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (pow.f64 (/.f64 f n) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 f n)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (pow.f64 (/.f64 f n) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 f n) #s(literal 1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 f n) #s(literal -1 binary64))) #s(literal 1 binary64)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 f n) #s(literal -1 binary64)))))
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(fma.f64 #s(literal 1 binary64) (/.f64 f n) #s(literal 1 binary64))
(fma.f64 (/.f64 f n) #s(literal 1 binary64) #s(literal 1 binary64))
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(-.f64 (/.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (pow.f64 (/.f64 f n) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (pow.f64 (/.f64 f n) #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 f) n))
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(+.f64 (/.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (-.f64 (/.f64 f n) #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (pow.f64 (/.f64 f n) #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (pow.f64 (/.f64 f n) #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
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eval131.0ms (2.6%)

Memory
20.9MiB live, 132.1MiB allocated
Compiler

Compiled 18 404 to 2 197 computations (88.1% saved)

prune30.0ms (0.6%)

Memory
-8.1MiB live, 38.4MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New7183721
Fresh213
Picked145
Done000
Total7218729
Accuracy
100.0%
Counts
729 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 n f) (-.f64 n f))
▶51.3%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓50.7%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
▶51.0%
#s(approx (/ (+ n f) (- n f)) (fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)))
▶51.8%
#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
▶50.2%
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
✓50.4%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
✓49.4%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 96 to 69 computations (28.1% saved)

simplify230.0ms (4.6%)

Memory
19.9MiB live, 58.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
021108
032108
158108
295108
3180108
4363108
5585108
61321108
73998108
84773108
95023108
105086108
115095108
125095108
135455108
145615108
155615108
165615108
175623108
185623108
195643108
205651108
215651108
05651108
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ n f) (- n f)) (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 (/ (+ n f) (- n f)) (fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(fma.f64 (/.f64 f n) f f)
(/.f64 f n)
f
n
(/.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
#s(literal 1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
n
(-.f64 f n)
f
Outputs
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ n f) (- n f)) (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 (/ (+ n f) (- n f)) (fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(fma.f64 (/.f64 f n) f f)
(/.f64 f n)
f
n
(/.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
#s(literal 1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
n
(-.f64 f n)
f

localize124.0ms (2.5%)

Memory
-16.4MiB live, 100.5MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 f n)
accuracy0.0
(neg.f64 n)
accuracy0.0234375
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
accuracy31.265890041017315
#s(approx (neg (+ f n)) (neg.f64 n))
accuracy0.0
(/.f64 #s(literal 2 binary64) n)
accuracy0.06640625
(fma.f64 (/.f64 f n) f f)
accuracy1.683813561896583
(fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
accuracy31.364923175032807
#s(approx (/ (+ n f) (- n f)) (fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)))
accuracy0.0
(/.f64 #s(literal 2 binary64) n)
accuracy0.34011137991579443
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
accuracy30.83880683594206
#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
accuracy31.87039620125018
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
Samples
97.0ms256×0valid
Compiler

Compiled 195 to 43 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-div: 64.0ms (79.9% of total)
ival-add: 6.0ms (7.5% of total)
ival-mult: 5.0ms (6.2% of total)
ival-sub: 3.0ms (3.7% of total)
ival-neg: 2.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
17.5MiB live, 17.5MiB allocated
Counts
12 → 61
Calls
Call 1
Inputs
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
#s(approx (/ (+ n f) (- n f)) (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 (/ (+ n f) (- n f)) (fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(fma.f64 (/.f64 f n) f f)
(/.f64 f n)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
(-.f64 f n)
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)))))
f
(* f (+ 1 (/ f n)))
(/ f n)
(* -1 n)
(- (* -1 f) n)
(- f n)
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* 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)))))
(/ (pow f 2) n)
(* (pow f 2) (+ (/ 1 f) (/ 1 n)))
(- (* -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 (+ 1 (* -1 (/ n f))))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(* f (+ (* 2 (/ 1 n)) (/ 1 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)))
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(/ (+ n (* 2 f)) n)
(/ 2 n)
(/ (+ (* 2 (* f n)) (* 2 (pow f 2))) (pow n 2))
(/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2))
(/ (+ (* f n) (pow f 2)) n)
(- (* -1 n) f)
(+ f (* -1 n))
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(+ 1 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2)))))
(+ f (/ (pow f 2) 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 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+ 1 (* -1 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) 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)))))
Calls

6 calls:

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

simplify218.0ms (4.4%)

Memory
-2.5MiB live, 233.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0237760
1741691
22285601
37193601
08122538
Stop Event
1×iter limit
1×node limit
Counts
61 → 60
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)))))
f
(* f (+ 1 (/ f n)))
(/ f n)
(* -1 n)
(- (* -1 f) n)
(- f n)
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* 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)))))
(/ (pow f 2) n)
(* (pow f 2) (+ (/ 1 f) (/ 1 n)))
(- (* -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 (+ 1 (* -1 (/ n f))))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(* f (+ (* 2 (/ 1 n)) (/ 1 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)))
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(/ (+ n (* 2 f)) n)
(/ 2 n)
(/ (+ (* 2 (* f n)) (* 2 (pow f 2))) (pow n 2))
(/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2))
(/ (+ (* f n) (pow f 2)) n)
(- (* -1 n) f)
(+ f (* -1 n))
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(+ 1 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2)))))
(+ f (/ (pow f 2) 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 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+ 1 (* -1 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) 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)))))
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 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
f
(* f (+ 1 (/ f n)))
(fma.f64 (/.f64 f n) f f)
(/ f n)
(/.f64 f n)
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 f) n)
(- f n)
(-.f64 f n)
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n (fma.f64 (*.f64 (/.f64 (/.f64 n f) f) #s(literal -2 binary64)) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64)))
(* 2 (/ f n))
(*.f64 (/.f64 #s(literal 2 binary64) n) f)
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64))
(* 2 (/ (pow f 2) (pow n 2)))
(*.f64 (*.f64 (/.f64 (/.f64 f n) n) f) #s(literal 2 binary64))
(* (pow f 2) (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2)))))
(*.f64 (/.f64 (fma.f64 (/.f64 f n) f f) n) #s(literal 2 binary64))
(* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n)))))
(fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(/ (pow f 2) n)
(*.f64 (/.f64 f n) f)
(* (pow f 2) (+ (/ 1 f) (/ 1 n)))
(fma.f64 (/.f64 f n) f f)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n (fma.f64 (*.f64 (/.f64 (/.f64 n f) f) #s(literal -2 binary64)) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64)))
(* -1 f)
(neg.f64 f)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 f) n)
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 (/.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))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64))
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (neg.f64 f) n)
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
(- (* -2 (/ n f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n (fma.f64 (*.f64 (/.f64 (/.f64 n f) f) #s(literal -2 binary64)) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64)))
(/ (+ n (* 2 f)) n)
(/.f64 (fma.f64 #s(literal 2 binary64) f n) n)
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
(/ (+ (* 2 (* f n)) (* 2 (pow f 2))) (pow n 2))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) f) (+.f64 f n)) (*.f64 n n))
(/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) f) (+.f64 f n) (*.f64 n n)) (*.f64 n n))
(/ (+ (* f n) (pow f 2)) n)
(*.f64 f (/.f64 (+.f64 f n) n))
(- (* -1 n) f)
(-.f64 (neg.f64 f) n)
(+ f (* -1 n))
(-.f64 f n)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2)))))
(fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ f (/ (pow f 2) n))
(fma.f64 (/.f64 f n) f f)
(+ 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 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* n (- (* -1 (/ f n)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n)
(* n (- (/ f n) 1))
(fma.f64 (/.f64 f n) n (neg.f64 n))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 f (*.f64 (fma.f64 (/.f64 f n) f f) #s(literal -2 binary64))) n)) n))
(+ 1 (* -1 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) n)))
(fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 f (*.f64 (fma.f64 (/.f64 f n) f f) #s(literal -2 binary64))) n)) n))
(* -1 (* n (+ 1 (/ f n))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(fma.f64 (/.f64 f n) n (neg.f64 n))

rewrite212.0ms (4.3%)

Memory
8.9MiB live, 126.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02194
03294
114694
2116094
0846094
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 346
Calls
Call 1
Inputs
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
#s(approx (/ (+ n f) (- n f)) (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 (/ (+ n f) (- n f)) (fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(fma.f64 (/.f64 f n) f f)
(/.f64 f n)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
(-.f64 f n)
Outputs
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 n f) #s(literal -3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 n f) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) #s(literal 2 binary64)))))))
(*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 n f) #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 f n) #s(literal 2 binary64))))))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 n f) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 n f) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)))) (*.f64 (pow.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 n f) #s(literal -3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 n f) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 n f) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 f n) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 n f) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 n f) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 n f) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 f n) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 n f) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 n f) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 f n) #s(literal 2 binary64)))) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 n f) #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))))
(fma.f64 (/.f64 f #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) n) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) f) (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64))
(fma.f64 (*.f64 f #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) n) (/.f64 f #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) f)) (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) f) (pow.f64 n #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 n #s(literal -1 binary64)) (/.f64 f #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 n #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 n #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) n))
(*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) n))
(*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 n #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) n))
(pow.f64 (*.f64 n #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 n #s(literal 1/2 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 n))
(/.f64 #s(literal 2 binary64) n)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 n #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 n #s(literal 1/2 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) n))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) n))
(exp.f64 (*.f64 (log.f64 (*.f64 n #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (+ n f) (- n f)) (fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (fma.f64 (/.f64 f n) f f) n) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 (/.f64 f n) f f) n) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (/.f64 f n) f f) n) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal -1 binary64)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (/.f64 f n) f f) n) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 (/.f64 f n) f f) n) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 (fma.f64 (/.f64 f n) f f) n) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (/.f64 f n) f f) n) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (/.f64 f n) f f) n) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (/.f64 f n) f f) n) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (fma.f64 (/.f64 f n) f f) n) #s(literal 2 binary64))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (/.f64 f n) f f) n) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 (/.f64 f n) f f) n) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 (fma.f64 (/.f64 f n) f f) n) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 n f) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (-.f64 n f) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 n f)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 f f) (+.f64 f n)) #s(literal 3 binary64)) (pow.f64 (*.f64 n (/.f64 n (+.f64 f n))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 f f) (+.f64 f n)) (/.f64 (*.f64 f f) (+.f64 f n)) (fma.f64 (*.f64 n (/.f64 n (+.f64 f n))) (*.f64 n (/.f64 n (+.f64 f n))) (*.f64 (/.f64 (*.f64 f f) (+.f64 f n)) (*.f64 n (/.f64 n (+.f64 f n)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (fma.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (*.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n))))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (fma.f64 n n (-.f64 (*.f64 f f) (*.f64 (neg.f64 n) f))))
(/.f64 (neg.f64 (neg.f64 (-.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 (neg.f64 (neg.f64 (*.f64 (-.f64 n f) (+.f64 f n)))) (-.f64 (neg.f64 n) f))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 f f (*.f64 n (+.f64 f n))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 f n) (+.f64 f n)))) (+.f64 f n))
(/.f64 (-.f64 (*.f64 (*.f64 f f) (+.f64 f n)) (*.f64 (+.f64 f n) (*.f64 n n))) (pow.f64 (+.f64 f n) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 n f))) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)))))
(/.f64 (neg.f64 (-.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 (neg.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (fma.f64 f f (-.f64 (*.f64 n n) (*.f64 f (neg.f64 n))))))
(/.f64 (neg.f64 (-.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 (neg.f64 (*.f64 (-.f64 f n) (+.f64 f n))) (-.f64 (neg.f64 n) f))
(/.f64 (neg.f64 (*.f64 (-.f64 n f) (+.f64 f n))) (+.f64 f n))
(/.f64 (*.f64 (-.f64 f n) (+.f64 f n)) (+.f64 f n))
(/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (-.f64 (neg.f64 n) f))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 f f (-.f64 (*.f64 n n) (*.f64 f (neg.f64 n)))))
(/.f64 (-.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 (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 (-.f64 f n) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (neg.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 f n) (neg.f64 (*.f64 (-.f64 n f) (+.f64 f n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 n) f) (*.f64 (-.f64 n f) (+.f64 f n))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 f (+.f64 f n) (*.f64 n n))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f f (-.f64 (*.f64 n n) (*.f64 f (neg.f64 n)))) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(/.f64 (-.f64 n f) #s(literal -1 binary64))
(neg.f64 (-.f64 n f))
(fma.f64 (/.f64 f (/.f64 (*.f64 (-.f64 f n) (+.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 f (fma.f64 f f (*.f64 n (+.f64 f n)))) (neg.f64 (*.f64 n (/.f64 n (+.f64 f n)))))
(fma.f64 (/.f64 f (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 f (fma.f64 f (+.f64 f n) (*.f64 n n))) (neg.f64 (*.f64 n (/.f64 n (+.f64 f n)))))
(fma.f64 (/.f64 f (*.f64 (-.f64 n f) (+.f64 f n))) (/.f64 f (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (neg.f64 (*.f64 n (/.f64 n (+.f64 f n)))))
(fma.f64 (/.f64 f (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 f (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64))) (neg.f64 (*.f64 n (/.f64 n (+.f64 f n)))))
(fma.f64 (/.f64 f (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 f (pow.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) #s(literal -1 binary64))) (neg.f64 (*.f64 n (/.f64 n (+.f64 f n)))))
(fma.f64 (/.f64 f (*.f64 (-.f64 f n) (+.f64 f n))) (*.f64 f (-.f64 f n)) (neg.f64 (*.f64 n (/.f64 n (+.f64 f n)))))
(fma.f64 (/.f64 f #s(literal 1 binary64)) (/.f64 f (+.f64 f n)) (neg.f64 (*.f64 n (/.f64 n (+.f64 f n)))))
(fma.f64 (neg.f64 (*.f64 n n)) (pow.f64 n #s(literal -1 binary64)) f)
(fma.f64 (pow.f64 (neg.f64 n) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 n n #s(literal 0 binary64))) f)
(fma.f64 #s(literal -1 binary64) (neg.f64 f) (neg.f64 n))
(fma.f64 #s(literal -1 binary64) n f)
(fma.f64 (*.f64 f f) (pow.f64 (+.f64 f n) #s(literal -1 binary64)) (neg.f64 (*.f64 n (/.f64 n (+.f64 f n)))))
(fma.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n))))))
(fma.f64 #s(literal 1 binary64) f (neg.f64 n))
(fma.f64 f #s(literal 1 binary64) (neg.f64 n))
(fma.f64 n #s(literal -1 binary64) f)
(-.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (neg.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)))) (/.f64 (pow.f64 f #s(literal 3 binary64)) (neg.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)))))
(-.f64 (/.f64 (/.f64 (*.f64 f f) (+.f64 f n)) #s(literal 1 binary64)) (/.f64 (*.f64 n (/.f64 n (+.f64 f n))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 n n) (-.f64 (neg.f64 n) f)) (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) f)))
(-.f64 (/.f64 f #s(literal 1 binary64)) n)
(-.f64 (/.f64 (*.f64 f f) (+.f64 f n)) (*.f64 n (/.f64 n (+.f64 f n))))
(-.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(-.f64 #s(literal 0 binary64) (-.f64 n f))
(-.f64 (neg.f64 n) (neg.f64 f))
(-.f64 f n)
(+.f64 (/.f64 (*.f64 f f) (+.f64 f n)) (neg.f64 (*.f64 n (/.f64 n (+.f64 f n)))))
(+.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (neg.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n))))))
(+.f64 #s(literal 0 binary64) (-.f64 f n))
(+.f64 (neg.f64 n) f)
(+.f64 f (neg.f64 n))

eval156.0ms (3.1%)

Memory
-15.2MiB live, 108.6MiB allocated
Compiler

Compiled 10 698 to 1 355 computations (87.3% saved)

prune31.0ms (0.6%)

Memory
-12.2MiB live, 27.4MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New3980398
Fresh000
Picked044
Done044
Total3988406
Accuracy
100.0%
Counts
406 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 n f) (-.f64 n f))
✓51.3%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓50.7%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
✓51.0%
#s(approx (/ (+ n f) (- n f)) (fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)))
✓51.8%
#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
✓50.2%
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
✓50.4%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
✓49.4%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 246 to 113 computations (54.1% saved)

regimes11.0ms (0.2%)

Memory
20.6MiB live, 20.6MiB allocated
Counts
12 → 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))
#s(approx (/ (+ n f) (- n f)) #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)))
#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
#s(approx (/ (+ n f) (- n f)) (fma.f64 (fma.f64 (/.f64 f n) f f) (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64)))
Outputs
(/.f64 (+.f64 n f) (-.f64 n f))
Calls

3 calls:

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

Compiled 10 to 10 computations (0% saved)

regimes10.0ms (0.2%)

Memory
-16.6MiB live, 21.7MiB allocated
Counts
8 → 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))
#s(approx (/ (+ n f) (- n f)) #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)))
#s(approx (/ (+ n f) (- n f)) (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:

4.0ms
f
3.0ms
n
2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
77.3%3f
78.6%3n
99.5%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

regimes2.0ms (0%)

Memory
10.0MiB live, 10.0MiB 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))
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
Outputs
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
Calls

1 calls:

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

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
7.2MiB live, 7.2MiB 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))
#s(approx (/ (+ n f) (- n f)) #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
98.1%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
4.1MiB live, 4.1MiB 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))
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
Outputs
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
98.0%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
3.6MiB live, 3.6MiB 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))
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
Outputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
98.0%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.1%)

Memory
-29.5MiB live, 9.0MiB 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:

3.0ms
f
1.0ms
n
1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
49.4%1f
49.4%1n
49.4%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9997816023559147
0.9999999969131578
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9997816023559147
0.9999999969131578
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9997816023559147
0.9999999969131578
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9997816023559147
0.9999999969131578
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch14.0ms (0.3%)

Memory
26.6MiB live, 26.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
-0.9997816023559147
0.9999999969131578
Samples
5.0ms240×0valid
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)

simplify58.0ms (1.2%)

Memory
-12.1MiB live, 69.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040191
163191
294191
3143184
4245184
5493184
61721184
74112184
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 n f) (-.f64 n f))
(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 -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Outputs
(/.f64 (+.f64 n f) (-.f64 n f))
(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 -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

soundness1.5s (30%)

Memory
-4.7MiB live, 426.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

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

Compiled 252 to 99 computations (60.7% saved)

preprocess34.0ms (0.7%)

Memory
29.3MiB live, 67.2MiB allocated
Compiler

Compiled 398 to 92 computations (76.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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