logs (example 3.8)

Time bar (total: 7.6s)

analyze3.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%23.7%76.3%0%0%0%0
0%0%23.7%76.3%0%0%0%1
50%11.9%11.9%76.3%0%0%0%2
75%17.8%5.9%76.3%0%0%0%3
87.5%20.8%3%76.3%0%0%0%4
93.8%22.2%1.5%76.3%0%0%0%5
96.9%23%0.7%76.3%0%0%0%6
98.4%23.3%0.4%76.3%0%0%0%7
99.2%23.5%0.2%76.3%0%0%0%8
99.6%23.6%0.1%76.3%0%0%0%9
99.8%23.7%0%76.3%0%0%0%10
99.9%23.7%0%76.3%0%0%0%11
100%23.7%0%76.3%0%0%0%12
Compiler

Compiled 19 to 11 computations (42.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-log: 1.0ms (69.3% of total)
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival->: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample2.5s (33.6%)

Results
2.2s8256×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-log: 844.0ms (50.5% of total)
ival-mult: 261.0ms (15.6% of total)
backward-pass: 200.0ms (12% of total)
ival-sub: 174.0ms (10.4% of total)
ival-add: 122.0ms (7.3% of total)
ival->: 51.0ms (3% of total)
const: 20.0ms (1.2% of total)
Bogosity

preprocess215.0ms (2.8%)

Algorithm
2×egg-herbie
Rules
3082×sum4-define
2644×sum3-define
2256×sum4-define
1794×fnmadd-define
1678×fnmadd-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01851
15438
216638
362037
4257337
5635637
6716037
7736237
8737837
9737837
0914
12611
26711
319511
444711
5122811
6310511
7573711
0802211
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1)
Outputs
(- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1)
(-.f64 #s(literal -1 binary64) (+.f64 (*.f64 n (log.f64 n)) (*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))))
Call 2
Inputs
(- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1)
(- (- (* (+ (neg n) 1) (log (+ (neg n) 1))) (* (neg n) (log (neg n)))) 1)
(neg (- (- (* (+ (neg n) 1) (log (+ (neg n) 1))) (* (neg n) (log (neg n)))) 1))
Outputs
(- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1)
(fnmadd n (log n) (fmsub (+ n 1) (log1p n) 1))
(- (- (* (+ (neg n) 1) (log (+ (neg n) 1))) (* (neg n) (log (neg n)))) 1)
(fnmsub (log1p (neg n)) (+ n -1) (fnmsub n (log (neg n)) -1))
(neg (- (- (* (+ (neg n) 1) (log (+ (neg n) 1))) (* (neg n) (log (neg n)))) 1))
(fnmsub n (log (neg n)) (fnmsub (log1p (neg n)) (+ n -1) 1))

explain315.0ms (4.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-0-(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
00-0-(log.f64 (+.f64 n #s(literal 1 binary64)))
00-0-(*.f64 n (log.f64 n))
00-0-(log.f64 n)
00-0-(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
00-0-(+.f64 n #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
00-0-n
Results
254.0ms512×1valid
Compiler

Compiled 122 to 29 computations (76.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 177.0ms
backward-pass: 83.0ms (46.9% of total)
ival-log: 50.0ms (28.3% of total)
ival-mult: 22.0ms (12.4% of total)
ival-add: 10.0ms (5.7% of total)
ival-sub: 10.0ms (5.7% of total)
const: 1.0ms (0.6% of total)

eval0.0ms (0%)

Compiler

Compiled 14 to 9 computations (35.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶1.5%
(-.f64 #s(literal -1 binary64) (+.f64 (*.f64 n (log.f64 n)) (*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))))
Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify143.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f64 n)
✓cost-diff0
(*.f64 n (log.f64 n))
✓cost-diff0
(+.f64 (*.f64 n (log.f64 n)) (*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)))
✓cost-diff0
(-.f64 #s(literal -1 binary64) (+.f64 (*.f64 n (log.f64 n)) (*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))))
Rules
3146×sum4-define
1918×fnmadd-define
1898×sum3-define
1702×fnmsub-define
1512×fmsub-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01141
12541
25941
317640
456240
5203339
6597739
7779239
0808439
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- -1 (+ (* n (log n)) (* (log (+ 1 n)) (- -1 n))))
-1
(+ (* n (log n)) (* (log (+ 1 n)) (- -1 n)))
(* n (log n))
n
(log n)
(* (log (+ 1 n)) (- -1 n))
(log (+ 1 n))
(- -1 n)
Outputs
(- -1 (+ (* n (log n)) (* (log (+ 1 n)) (- -1 n))))
(-.f64 (-.f64 #s(literal -1 binary64) (*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))) (*.f64 n (log.f64 n)))
-1
#s(literal -1 binary64)
(+ (* n (log n)) (* (log (+ 1 n)) (- -1 n)))
(+.f64 (*.f64 n (log.f64 n)) (*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)))
(* n (log n))
(*.f64 n (log.f64 n))
n
(log n)
(log.f64 n)
(* (log (+ 1 n)) (- -1 n))
(*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))
(log (+ 1 n))
(log1p.f64 n)
(- -1 n)
(-.f64 #s(literal -1 binary64) n)

localize713.0ms (9.4%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))
✓accuracy100.0%
(*.f64 n (log.f64 n))
✓accuracy100.0%
(log1p.f64 n)
✓accuracy100.0%
(log.f64 n)
Results
678.0ms256×5exit
Compiler

Compiled 45 to 10 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 626.0ms
ival-log: 431.0ms (68.9% of total)
compiled-spec: 69.0ms (11% of total)
backward-pass: 54.0ms (8.6% of total)
ival-sub: 32.0ms (5.1% of total)
ival-mult: 26.0ms (4.2% of total)
ival-add: 12.0ms (1.9% of total)
const: 2.0ms (0.3% of total)

series78.0ms (1%)

Counts
6 → 72
Calls
Call 1
Inputs
#<alt (- -1 (+ (* n (log n)) (* (log (+ 1 n)) (- -1 n))))>
#<alt (+ (* n (log n)) (* (log (+ 1 n)) (- -1 n)))>
#<alt (* n (log n))>
#<alt (log n)>
#<alt (log (+ 1 n))>
#<alt (* (log (+ 1 n)) (- -1 n))>
Outputs
#<alt -1>
#<alt (- (* n (- 1 (log n))) 1)>
#<alt (- (* n (- (+ 1 (* 1/2 n)) (log n))) 1)>
#<alt (- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1)>
#<alt (* -1 (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 n))))))>
#<alt (* n (- (* -1 (/ (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))) n)) (+ (log (/ 1 n)) (* -1 (log (/ 1 n))))))>
#<alt (* n (- (/ 1/2 (pow n 2)) (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)) (/ 1 n))))))>
#<alt (* n (- (/ 1/2 (pow n 2)) (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)) (+ (/ 1 n) (* 1/6 (/ 1 (pow n 3)))))))))>
#<alt (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (+ (log -1) (* -1 (log (/ -1 n))))))))>
#<alt (* -1 (* n (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 n)))) n)) (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (+ (log -1) (* -1 (log (/ -1 n))))))))))>
#<alt (* -1 (* n (- (* -1 (/ (- (* 1/2 (/ 1 n)) (* -1 (+ (log -1) (* -1 (log (/ -1 n)))))) n)) (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (+ (log -1) (* -1 (log (/ -1 n))))))))))>
#<alt (* -1 (* n (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) (* -1 (+ (log -1) (* -1 (log (/ -1 n)))))) n)) (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (+ (log -1) (* -1 (log (/ -1 n))))))))))>
#<alt (* n (- (log n) 1))>
#<alt (* n (- (+ (log n) (* -1/2 n)) 1))>
#<alt (* n (- (+ (log n) (* n (- (* 1/6 n) 1/2))) 1))>
#<alt (* n (- (+ (log n) (* n (- (* n (+ 1/6 (* -1/12 n))) 1/2))) 1))>
#<alt (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 n)))))>
#<alt (* n (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 n))) (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)))))>
#<alt (* n (- (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 n))) (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)))) (/ 1/2 (pow n 2))))>
#<alt (* n (- (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)) (* 1/6 (/ 1 (pow n 3)))))) (/ 1/2 (pow n 2))))>
#<alt (* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (+ (log -1) (* -1 (log (/ -1 n)))))))))>
#<alt (* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) 1) n)))))))>
#<alt (* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (+ 1 (* 1/2 (/ 1 n)))) n)))))))>
#<alt (* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- 1/2 (* 1/6 (/ 1 n))) n))) 1) n)))))))>
#<alt (* n (log n))>
#<alt (* n (log n))>
#<alt (* n (log n))>
#<alt (* n (log n))>
#<alt (* -1 (* n (log (/ 1 n))))>
#<alt (* -1 (* n (log (/ 1 n))))>
#<alt (* -1 (* n (log (/ 1 n))))>
#<alt (* -1 (* n (log (/ 1 n))))>
#<alt (* n (+ (log -1) (* -1 (log (/ -1 n)))))>
#<alt (* n (+ (log -1) (* -1 (log (/ -1 n)))))>
#<alt (* n (+ (log -1) (* -1 (log (/ -1 n)))))>
#<alt (* n (+ (log -1) (* -1 (log (/ -1 n)))))>
#<alt (log n)>
#<alt (log n)>
#<alt (log n)>
#<alt (log n)>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt n>
#<alt (* n (+ 1 (* -1/2 n)))>
#<alt (* n (+ 1 (* n (- (* 1/3 n) 1/2))))>
#<alt (* n (+ 1 (* n (- (* n (+ 1/3 (* -1/4 n))) 1/2))))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (+ (* -1 (log (/ 1 n))) (/ 1 n))>
#<alt (- (+ (* -1 (log (/ 1 n))) (/ 1 n)) (/ 1/2 (pow n 2)))>
#<alt (- (+ (* -1 (log (/ 1 n))) (+ (/ 1 n) (* 1/3 (/ 1 (pow n 3))))) (/ 1/2 (pow n 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 n))) (/ 1 n)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/2 (/ 1 n)) 1) n))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 n)) 1/2) n)) 1) n))))>
#<alt (* -1 n)>
#<alt (* n (- (* -1/2 n) 1))>
#<alt (* n (- (* n (- (* 1/6 n) 1/2)) 1))>
#<alt (* n (- (* n (- (* n (+ 1/6 (* -1/12 n))) 1/2)) 1))>
#<alt (* n (log (/ 1 n)))>
#<alt (* n (+ (log (/ 1 n)) (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n))))>
#<alt (* n (- (+ (log (/ 1 n)) (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n))) (/ 1/2 (pow n 2))))>
#<alt (* n (- (+ (log (/ 1 n)) (+ (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)) (* 1/6 (/ 1 (pow n 3))))) (/ 1/2 (pow n 2))))>
#<alt (* -1 (* n (+ (log -1) (* -1 (log (/ -1 n))))))>
#<alt (* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) 1) n))))))>
#<alt (* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (+ 1 (* 1/2 (/ 1 n)))) n))))))>
#<alt (* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- 1/2 (* 1/6 (/ 1 n))) n))) 1) n))))))>
Calls

18 calls:

TimeVariablePointExpression
50.0ms
n
@0
(* n (log n))
12.0ms
n
@-inf
(* n (log n))
9.0ms
n
@inf
(* n (log n))
4.0ms
n
@-inf
(- -1 (+ (* n (log n)) (* (log (+ 1 n)) (- -1 n))))
1.0ms
n
@inf
(- -1 (+ (* n (log n)) (* (log (+ 1 n)) (- -1 n))))

rewrite242.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
1528×fmsub-define
1486×fnmsub-define
1400×fmm-def
1322×/-lowering-/.f32
1322×/-lowering-/.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01136
12536
25936
318035
465535
5307434
6666134
0807834
Stop Event
1×iter limit
1×node limit
Counts
6 → 417
Calls
Call 1
Inputs
(- -1 (+ (* n (log n)) (* (log (+ 1 n)) (- -1 n))))
(+ (* n (log n)) (* (log (+ 1 n)) (- -1 n)))
(* n (log n))
(log n)
(log (+ 1 n))
(* (log (+ 1 n)) (- -1 n))
Outputs
(+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (*.f64 n (log.f64 n))))
(+.f64 (log1p.f64 n) (+.f64 #s(literal -1 binary64) (*.f64 n (log.f64 (/.f64 (+.f64 n #s(literal 1 binary64)) n)))))
(+.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal -1 binary64) (*.f64 n (log.f64 n))) (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))))
(+.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (*.f64 n (log.f64 n))) #s(literal -1 binary64))
(+.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (*.f64 n (log.f64 n))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 n (log.f64 n)) #s(literal 0 binary64))))
(+.f64 (-.f64 #s(literal -1 binary64) (*.f64 n (log.f64 n))) (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))))
(+.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 n (log.f64 n))))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 n (log.f64 n))) (-.f64 #s(literal -1 binary64) (*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))))
(+.f64 (*.f64 n (log1p.f64 n)) (+.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) (*.f64 n (log.f64 n)))))
(+.f64 (-.f64 #s(literal -1 binary64) (*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n (log.f64 n))))
(+.f64 (+.f64 #s(literal -1 binary64) (log1p.f64 n)) (*.f64 n (log.f64 (/.f64 (+.f64 n #s(literal 1 binary64)) n))))
(+.f64 (*.f64 (*.f64 n (log.f64 n)) #s(literal 0 binary64)) (+.f64 (-.f64 #s(literal -1 binary64) (*.f64 n (log.f64 n))) (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))))
(+.f64 (+.f64 (-.f64 #s(literal -1 binary64) (*.f64 n (log.f64 n))) (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))) #s(literal 0 binary64))
(+.f64 (+.f64 (-.f64 #s(literal -1 binary64) (*.f64 n (log.f64 n))) (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))) (*.f64 (*.f64 n (log.f64 n)) #s(literal 0 binary64)))
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 n (log1p.f64 n))) (-.f64 (log1p.f64 n) (*.f64 n (log.f64 n))))
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 n (log.f64 (/.f64 (+.f64 n #s(literal 1 binary64)) n)))) (log1p.f64 n))
(+.f64 (+.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) (*.f64 n (log.f64 n)))) (*.f64 n (log1p.f64 n)))
(+.f64 (-.f64 (log1p.f64 n) (*.f64 n (log.f64 n))) (+.f64 #s(literal -1 binary64) (*.f64 n (log1p.f64 n))))
(+.f64 (*.f64 n (log.f64 (/.f64 (+.f64 n #s(literal 1 binary64)) n))) (+.f64 #s(literal -1 binary64) (log1p.f64 n)))
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 n (log.f64 n)) #s(literal 0 binary64))) (-.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (*.f64 n (log.f64 n))))
(+.f64 (-.f64 (+.f64 (-.f64 #s(literal -1 binary64) (*.f64 n (log.f64 n))) (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))) (*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))) (*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)))
(+.f64 (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 n (log.f64 (/.f64 (+.f64 n #s(literal 1 binary64)) n)))) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal -1 binary64) n)))
(-.f64 #s(literal -1 binary64) (+.f64 (*.f64 n (log.f64 n)) (*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))))
(-.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) (*.f64 n (log.f64 (/.f64 n (+.f64 n #s(literal 1 binary64)))))))
(-.f64 #s(literal 0 binary64) (+.f64 (*.f64 n (log.f64 n)) (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)))))
(-.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal -1 binary64) (*.f64 n (log.f64 n))) (*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)))
(-.f64 (-.f64 #s(literal -1 binary64) (*.f64 n (log.f64 n))) (+.f64 (*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)) (*.f64 (*.f64 n (log.f64 n)) #s(literal 0 binary64))))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (+.f64 (*.f64 n (log.f64 n)) #s(literal 1 binary64)))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (+.f64 (+.f64 (*.f64 n (log.f64 n)) (*.f64 (*.f64 n (log.f64 n)) #s(literal 0 binary64))) #s(literal 1 binary64)))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 n (log.f64 n))) (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 n (log.f64 n))) (+.f64 (+.f64 (*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)) (*.f64 (*.f64 n (log.f64 n)) #s(literal 0 binary64))) #s(literal 1 binary64)))
(-.f64 (*.f64 n (log1p.f64 n)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (log.f64 n)) (log1p.f64 n))))
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(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 n)) (-.f64 #s(literal 0 binary64) (*.f64 n (log1p.f64 n))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 n (log1p.f64 n))) (-.f64 #s(literal 0 binary64) (log1p.f64 n)))
(fma.f64 (log1p.f64 n) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 n (log1p.f64 n))))
(fma.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n) #s(literal 0 binary64))
(fma.f64 (log1p.f64 n) (-.f64 #s(literal 0 binary64) n) (-.f64 #s(literal 0 binary64) (log1p.f64 n)))
(fma.f64 (-.f64 #s(literal -1 binary64) n) (log1p.f64 n) #s(literal 0 binary64))
(fma.f64 (*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) n) (log1p.f64 n) (-.f64 #s(literal 0 binary64) (log1p.f64 n)))
(fma.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 n #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (log1p.f64 n)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 n)) n (-.f64 #s(literal 0 binary64) (log1p.f64 n)))
(fma.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 n)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 n (log1p.f64 n))))
(fma.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 n)) (+.f64 n #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 n (log1p.f64 n))) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 n)))
(fma.f64 (*.f64 n (log1p.f64 n)) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 n)))
(neg.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))))
(/.f64 (log1p.f64 n) (/.f64 #s(literal -1 binary64) (+.f64 n #s(literal 1 binary64))))
(/.f64 (*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)) #s(literal 1 binary64))
(/.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 n)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) n)))
(*.f64 #s(literal -1 binary64) (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)))
(*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))
(*.f64 (-.f64 #s(literal -1 binary64) n) (log1p.f64 n))
(*.f64 (-.f64 #s(literal -1 binary64) n) (/.f64 (log1p.f64 n) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) n) (/.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 n)) #s(literal -1 binary64)))
(*.f64 (*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)) #s(literal 1 binary64))
(*.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 n #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (log1p.f64 n)))
(*.f64 (+.f64 n #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 n)) #s(literal 1 binary64)))
(*.f64 (+.f64 n #s(literal 1 binary64)) (/.f64 (log1p.f64 n) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 n)) (+.f64 n #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 n)) #s(literal 1 binary64)) (+.f64 n #s(literal 1 binary64)))
(*.f64 (/.f64 (log1p.f64 n) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) n))
(*.f64 (/.f64 (log1p.f64 n) #s(literal -1 binary64)) (+.f64 n #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 n)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) n))

simplify231.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
3346×+-lowering-+.f64
3346×+-lowering-+.f32
2120×*-lowering-*.f32
2120×*-lowering-*.f64
1508×sum5-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0217942
1762744
22910634
08477634
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
-1
(- (* n (- 1 (log n))) 1)
(- (* n (- (+ 1 (* 1/2 n)) (log n))) 1)
(- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1)
(* -1 (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 n))))))
(* n (- (* -1 (/ (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))) n)) (+ (log (/ 1 n)) (* -1 (log (/ 1 n))))))
(* n (- (/ 1/2 (pow n 2)) (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)) (/ 1 n))))))
(* n (- (/ 1/2 (pow n 2)) (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)) (+ (/ 1 n) (* 1/6 (/ 1 (pow n 3)))))))))
(* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (+ (log -1) (* -1 (log (/ -1 n))))))))
(* -1 (* n (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 n)))) n)) (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (+ (log -1) (* -1 (log (/ -1 n))))))))))
(* -1 (* n (- (* -1 (/ (- (* 1/2 (/ 1 n)) (* -1 (+ (log -1) (* -1 (log (/ -1 n)))))) n)) (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (+ (log -1) (* -1 (log (/ -1 n))))))))))
(* -1 (* n (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) (* -1 (+ (log -1) (* -1 (log (/ -1 n)))))) n)) (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (+ (log -1) (* -1 (log (/ -1 n))))))))))
(* n (- (log n) 1))
(* n (- (+ (log n) (* -1/2 n)) 1))
(* n (- (+ (log n) (* n (- (* 1/6 n) 1/2))) 1))
(* n (- (+ (log n) (* n (- (* n (+ 1/6 (* -1/12 n))) 1/2))) 1))
(* n (+ (log (/ 1 n)) (* -1 (log (/ 1 n)))))
(* n (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 n))) (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)))))
(* n (- (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 n))) (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)))) (/ 1/2 (pow n 2))))
(* n (- (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)) (* 1/6 (/ 1 (pow n 3)))))) (/ 1/2 (pow n 2))))
(* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (+ (log -1) (* -1 (log (/ -1 n)))))))))
(* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) 1) n)))))))
(* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (+ 1 (* 1/2 (/ 1 n)))) n)))))))
(* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- 1/2 (* 1/6 (/ 1 n))) n))) 1) n)))))))
(* n (log n))
(* n (log n))
(* n (log n))
(* n (log n))
(* -1 (* n (log (/ 1 n))))
(* -1 (* n (log (/ 1 n))))
(* -1 (* n (log (/ 1 n))))
(* -1 (* n (log (/ 1 n))))
(* n (+ (log -1) (* -1 (log (/ -1 n)))))
(* n (+ (log -1) (* -1 (log (/ -1 n)))))
(* n (+ (log -1) (* -1 (log (/ -1 n)))))
(* n (+ (log -1) (* -1 (log (/ -1 n)))))
(log n)
(log n)
(log n)
(log n)
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
n
(* n (+ 1 (* -1/2 n)))
(* n (+ 1 (* n (- (* 1/3 n) 1/2))))
(* n (+ 1 (* n (- (* n (+ 1/3 (* -1/4 n))) 1/2))))
(* -1 (log (/ 1 n)))
(+ (* -1 (log (/ 1 n))) (/ 1 n))
(- (+ (* -1 (log (/ 1 n))) (/ 1 n)) (/ 1/2 (pow n 2)))
(- (+ (* -1 (log (/ 1 n))) (+ (/ 1 n) (* 1/3 (/ 1 (pow n 3))))) (/ 1/2 (pow n 2)))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (/ 1 n)))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/2 (/ 1 n)) 1) n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 n)) 1/2) n)) 1) n))))
(* -1 n)
(* n (- (* -1/2 n) 1))
(* n (- (* n (- (* 1/6 n) 1/2)) 1))
(* n (- (* n (- (* n (+ 1/6 (* -1/12 n))) 1/2)) 1))
(* n (log (/ 1 n)))
(* n (+ (log (/ 1 n)) (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n))))
(* n (- (+ (log (/ 1 n)) (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n))) (/ 1/2 (pow n 2))))
(* n (- (+ (log (/ 1 n)) (+ (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)) (* 1/6 (/ 1 (pow n 3))))) (/ 1/2 (pow n 2))))
(* -1 (* n (+ (log -1) (* -1 (log (/ -1 n))))))
(* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) 1) n))))))
(* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (+ 1 (* 1/2 (/ 1 n)))) n))))))
(* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- 1/2 (* 1/6 (/ 1 n))) n))) 1) n))))))
Outputs
-1
#s(literal -1 binary64)
(- (* n (- 1 (log n))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 n (-.f64 #s(literal 1 binary64) (log.f64 n))))
(- (* n (- (+ 1 (* 1/2 n)) (log n))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 n #s(literal 1/2 binary64)) (log.f64 n)))))
(- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) (log.f64 n)))))
(* -1 (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 n))))))
#s(literal 0 binary64)
(* n (- (* -1 (/ (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))) n)) (+ (log (/ 1 n)) (* -1 (log (/ 1 n))))))
(*.f64 n (/.f64 (log.f64 n) n))
(* n (- (/ 1/2 (pow n 2)) (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)) (/ 1 n))))))
(*.f64 n (+.f64 (/.f64 (log.f64 n) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) n)))
(* n (- (/ 1/2 (pow n 2)) (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)) (+ (/ 1 n) (* 1/6 (/ 1 (pow n 3)))))))))
(*.f64 n (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))))))
(* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (+ (log -1) (* -1 (log (/ -1 n))))))))
#s(literal 0 binary64)
(* -1 (* n (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 n)))) n)) (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (+ (log -1) (* -1 (log (/ -1 n))))))))))
(*.f64 n (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) n))
(* -1 (* n (- (* -1 (/ (- (* 1/2 (/ 1 n)) (* -1 (+ (log -1) (* -1 (log (/ -1 n)))))) n)) (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (+ (log -1) (* -1 (log (/ -1 n))))))))))
(*.f64 n (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) n))) n) #s(literal 0 binary64)))
(* -1 (* n (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) (* -1 (+ (log -1) (* -1 (log (/ -1 n)))))) n)) (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (+ (log -1) (* -1 (log (/ -1 n))))))))))
(*.f64 n (/.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) n)) n)) n))
(* n (- (log n) 1))
(*.f64 n (+.f64 #s(literal -1 binary64) (log.f64 n)))
(* n (- (+ (log n) (* -1/2 n)) 1))
(*.f64 n (+.f64 #s(literal -1 binary64) (+.f64 (log.f64 n) (*.f64 n #s(literal -1/2 binary64)))))
(* n (- (+ (log n) (* n (- (* 1/6 n) 1/2))) 1))
(*.f64 n (+.f64 (*.f64 n (+.f64 #s(literal -1/2 binary64) (*.f64 n #s(literal 1/6 binary64)))) (+.f64 #s(literal -1 binary64) (log.f64 n))))
(* n (- (+ (log n) (* n (- (* n (+ 1/6 (* -1/12 n))) 1/2))) 1))
(*.f64 n (+.f64 #s(literal -1 binary64) (+.f64 (log.f64 n) (*.f64 n (+.f64 #s(literal -1/2 binary64) (*.f64 n (+.f64 #s(literal 1/6 binary64) (*.f64 n #s(literal -1/12 binary64)))))))))
(* n (+ (log (/ 1 n)) (* -1 (log (/ 1 n)))))
#s(literal 0 binary64)
(* n (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 n))) (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)))))
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n))) n)
(* n (- (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 n))) (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)))) (/ 1/2 (pow n 2))))
(*.f64 n (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
(* n (- (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)) (* 1/6 (/ 1 (pow n 3)))))) (/ 1/2 (pow n 2))))
(*.f64 n (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) n) n)))
(* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (+ (log -1) (* -1 (log (/ -1 n)))))))))
#s(literal 0 binary64)
(* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) 1) n)))))))
(*.f64 n (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64)))) n))
(* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (+ 1 (* 1/2 (/ 1 n)))) n)))))))
(*.f64 n (/.f64 (-.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
(* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- 1/2 (* 1/6 (/ 1 n))) n))) 1) n)))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) n)) n))) n) (-.f64 #s(literal 0 binary64) n))
(* n (log n))
(*.f64 n (log.f64 n))
(* n (log n))
(*.f64 n (log.f64 n))
(* n (log n))
(*.f64 n (log.f64 n))
(* n (log n))
(*.f64 n (log.f64 n))
(* -1 (* n (log (/ 1 n))))
(*.f64 n (log.f64 n))
(* -1 (* n (log (/ 1 n))))
(*.f64 n (log.f64 n))
(* -1 (* n (log (/ 1 n))))
(*.f64 n (log.f64 n))
(* -1 (* n (log (/ 1 n))))
(*.f64 n (log.f64 n))
(* n (+ (log -1) (* -1 (log (/ -1 n)))))
(*.f64 n (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))))
(* n (+ (log -1) (* -1 (log (/ -1 n)))))
(*.f64 n (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))))
(* n (+ (log -1) (* -1 (log (/ -1 n)))))
(*.f64 n (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))))
(* n (+ (log -1) (* -1 (log (/ -1 n)))))
(*.f64 n (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))))
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
n
(* n (+ 1 (* -1/2 n)))
(*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 n #s(literal -1/2 binary64))))
(* n (+ 1 (* n (- (* 1/3 n) 1/2))))
(*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 n (+.f64 #s(literal -1/2 binary64) (*.f64 n #s(literal 1/3 binary64))))))
(* n (+ 1 (* n (- (* n (+ 1/3 (* -1/4 n))) 1/2))))
(*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 n (+.f64 #s(literal -1/2 binary64) (*.f64 n (+.f64 #s(literal 1/3 binary64) (*.f64 n #s(literal -1/4 binary64))))))))
(* -1 (log (/ 1 n)))
(log.f64 n)
(+ (* -1 (log (/ 1 n))) (/ 1 n))
(+.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 n))
(- (+ (* -1 (log (/ 1 n))) (/ 1 n)) (/ 1/2 (pow n 2)))
(+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
(- (+ (* -1 (log (/ 1 n))) (+ (/ 1 n) (* 1/3 (/ 1 (pow n 3))))) (/ 1/2 (pow n 2)))
(+.f64 (log.f64 n) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) n) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (/ 1 n)))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 #s(literal -1 binary64) n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/2 (/ 1 n)) 1) n))))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) n)) n))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 n)) 1/2) n)) 1) n))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) n)) n))
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* n (- (* -1/2 n) 1))
(*.f64 n (+.f64 #s(literal -1 binary64) (*.f64 n #s(literal -1/2 binary64))))
(* n (- (* n (- (* 1/6 n) 1/2)) 1))
(*.f64 n (+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 #s(literal -1/2 binary64) (*.f64 n #s(literal 1/6 binary64))))))
(* n (- (* n (- (* n (+ 1/6 (* -1/12 n))) 1/2)) 1))
(*.f64 n (+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 #s(literal -1/2 binary64) (*.f64 n (+.f64 #s(literal 1/6 binary64) (*.f64 n #s(literal -1/12 binary64))))))))
(* n (log (/ 1 n)))
(-.f64 #s(literal 0 binary64) (*.f64 n (log.f64 n)))
(* n (+ (log (/ 1 n)) (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n))))
(*.f64 n (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n) (log.f64 n)))
(* n (- (+ (log (/ 1 n)) (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n))) (/ 1/2 (pow n 2))))
(*.f64 n (+.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n) (log.f64 n)) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
(* n (- (+ (log (/ 1 n)) (+ (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)) (* 1/6 (/ 1 (pow n 3))))) (/ 1/2 (pow n 2))))
(*.f64 n (+.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n) (log.f64 n)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) n) n)))
(* -1 (* n (+ (log -1) (* -1 (log (/ -1 n))))))
(*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64))))
(* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) 1) n))))))
(*.f64 n (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64)))) n)))
(* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (+ 1 (* 1/2 (/ 1 n)))) n))))))
(*.f64 n (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- 1/2 (* 1/6 (/ 1 n))) n))) 1) n))))))
(*.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) n))) n)))

eval138.0ms (1.8%)

Compiler

Compiled 8913 to 1395 computations (84.3% saved)

prune87.0ms (1.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New4854489
Fresh000
Picked101
Done000
Total4864490
Accuracy
100.0%
Counts
490 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.2%
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n))) n))
▶99.8%
(-.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))
▶99.9%
(*.f64 n (/.f64 (log.f64 n) n))
▶3.1%
#s(literal 0 binary64)
Compiler

Compiled 37 to 24 computations (35.1% saved)

simplify134.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal -1 binary64) (log.f64 n))
✓cost-diff0
(*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n)))
✓cost-diff256
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n))) n)
✓cost-diff256
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n))) n))
✓cost-diff0
(/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n)
✓cost-diff0
(+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))
✓cost-diff256
(-.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))
✓cost-diff384
(*.f64 n (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
✓cost-diff0
(log.f64 n)
✓cost-diff0
(/.f64 (log.f64 n) n)
✓cost-diff256
(*.f64 n (/.f64 (log.f64 n) n))
Rules
1992×sum4-define
1658×sum3-define
1312×*-lowering-*.f32
1312×*-lowering-*.f64
1126×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
017110
144110
211496
330978
4122275
5448175
0807075
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
0
(* n (/ (log n) n))
n
(/ (log n) n)
(log n)
(- -1 (* n (+ (/ (- -1 (log n)) n) (/ -1/2 (* n n)))))
-1
(* n (+ (/ (- -1 (log n)) n) (/ -1/2 (* n n))))
n
(+ (/ (- -1 (log n)) n) (/ -1/2 (* n n)))
(/ (- -1 (log n)) n)
(- -1 (log n))
(log n)
(/ -1/2 (* n n))
-1/2
(* n n)
(- -1 (/ (* n (- -1 (log n))) n))
-1
(/ (* n (- -1 (log n))) n)
(* n (- -1 (log n)))
n
(- -1 (log n))
(log n)
Outputs
0
#s(literal 0 binary64)
(* n (/ (log n) n))
(log.f64 n)
n
(/ (log n) n)
(/.f64 (log.f64 n) n)
(log n)
(log.f64 n)
(- -1 (* n (+ (/ (- -1 (log n)) n) (/ -1/2 (* n n)))))
(+.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n))
-1
#s(literal -1 binary64)
(* n (+ (/ (- -1 (log n)) n) (/ -1/2 (* n n))))
(+.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) (/.f64 #s(literal -1/2 binary64) n))
n
(+ (/ (- -1 (log n)) n) (/ -1/2 (* n n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) (/.f64 #s(literal -1/2 binary64) n)))
(/ (- -1 (log n)) n)
(/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n)
(- -1 (log n))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(log n)
(log.f64 n)
(/ -1/2 (* n n))
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))
-1/2
#s(literal -1/2 binary64)
(* n n)
(*.f64 n n)
(- -1 (/ (* n (- -1 (log n))) n))
(log.f64 n)
-1
#s(literal -1 binary64)
(/ (* n (- -1 (log n))) n)
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* n (- -1 (log n)))
(*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n)))
n
(- -1 (log n))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(log n)
(log.f64 n)

localize113.0ms (1.5%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(log.f64 n)
✓accuracy100.0%
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n))) n))
✓accuracy99.6%
(*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n)))
✓accuracy97.0%
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n))) n)
✓accuracy100.0%
(-.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))
✓accuracy99.6%
(*.f64 n (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
✓accuracy99.6%
(/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n)
✓accuracy98.8%
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))
✓accuracy100.0%
(log.f64 n)
✓accuracy99.7%
(*.f64 n (/.f64 (log.f64 n) n))
✓accuracy99.7%
(/.f64 (log.f64 n) n)
Results
87.0ms256×0valid
Compiler

Compiled 113 to 18 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 8.0ms (31.1% of total)
ival-mult: 7.0ms (27.3% of total)
ival-log: 5.0ms (19.5% of total)
ival-sub: 4.0ms (15.6% of total)
ival-add: 1.0ms (3.9% of total)
const: 1.0ms (3.9% of total)
backward-pass: 0.0ms (0% of total)

series18.0ms (0.2%)

Counts
12 → 144
Calls
Call 1
Inputs
#<alt (* n (/ (log n) n))>
#<alt (/ (log n) n)>
#<alt (log n)>
#<alt (* n (+ (/ (- -1 (log n)) n) (/ -1/2 (* n n))))>
#<alt (- -1 (* n (+ (/ (- -1 (log n)) n) (/ -1/2 (* n n)))))>
#<alt (+ (/ (- -1 (log n)) n) (/ -1/2 (* n n)))>
#<alt (/ (- -1 (log n)) n)>
#<alt (- -1 (/ (* n (- -1 (log n))) n))>
#<alt (/ (* n (- -1 (log n))) n)>
#<alt (* n (- -1 (log n)))>
#<alt (- -1 (log n))>
#<alt (/ -1/2 (* n n))>
Outputs
#<alt (log n)>
#<alt (log n)>
#<alt (log n)>
#<alt (log n)>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (/ (log n) n)>
#<alt (/ (log n) n)>
#<alt (/ (log n) n)>
#<alt (/ (log n) n)>
#<alt (* -1 (/ (log (/ 1 n)) n))>
#<alt (* -1 (/ (log (/ 1 n)) n))>
#<alt (* -1 (/ (log (/ 1 n)) n))>
#<alt (* -1 (/ (log (/ 1 n)) n))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 n)))) n)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 n)))) n)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 n)))) n)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 n)))) n)>
#<alt (log n)>
#<alt (log n)>
#<alt (log n)>
#<alt (log n)>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (/ -1/2 n)>
#<alt (/ (- (* -1 (* n (+ 1 (log n)))) 1/2) n)>
#<alt (/ (- (* -1 (* n (+ 1 (log n)))) 1/2) n)>
#<alt (/ (- (* -1 (* n (+ 1 (log n)))) 1/2) n)>
#<alt (* -1 (+ 1 (* -1 (log (/ 1 n)))))>
#<alt (- (* -1 (+ 1 (* -1 (log (/ 1 n))))) (* 1/2 (/ 1 n)))>
#<alt (- (* -1 (+ 1 (* -1 (log (/ 1 n))))) (* 1/2 (/ 1 n)))>
#<alt (- (* -1 (+ 1 (* -1 (log (/ 1 n))))) (* 1/2 (/ 1 n)))>
#<alt (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))>
#<alt (- (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))) (* 1/2 (/ 1 n)))>
#<alt (- (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))) (* 1/2 (/ 1 n)))>
#<alt (- (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))) (* 1/2 (/ 1 n)))>
#<alt (/ 1/2 n)>
#<alt (/ (+ 1/2 (* -1 (* n (+ 1 (* -1 (+ 1 (log n))))))) n)>
#<alt (/ (+ 1/2 (* -1 (* n (+ 1 (* -1 (+ 1 (log n))))))) n)>
#<alt (/ (+ 1/2 (* -1 (* n (+ 1 (* -1 (+ 1 (log n))))))) n)>
#<alt (* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))>
#<alt (- (* 1/2 (/ 1 n)) (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))>
#<alt (- (* 1/2 (/ 1 n)) (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))>
#<alt (- (* 1/2 (/ 1 n)) (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))>
#<alt (* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))>
#<alt (- (* 1/2 (/ 1 n)) (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))>
#<alt (- (* 1/2 (/ 1 n)) (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))>
#<alt (- (* 1/2 (/ 1 n)) (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))>
#<alt (/ -1/2 (pow n 2))>
#<alt (/ (- (* -1 (* n (+ 1 (log n)))) 1/2) (pow n 2))>
#<alt (/ (- (* -1 (* n (+ 1 (log n)))) 1/2) (pow n 2))>
#<alt (/ (- (* -1 (* n (+ 1 (log n)))) 1/2) (pow n 2))>
#<alt (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n))>
#<alt (/ (- (* -1 (+ 1 (* -1 (log (/ 1 n))))) (* 1/2 (/ 1 n))) n)>
#<alt (/ (- (* -1 (+ 1 (* -1 (log (/ 1 n))))) (* 1/2 (/ 1 n))) n)>
#<alt (/ (- (* -1 (+ 1 (* -1 (log (/ 1 n))))) (* 1/2 (/ 1 n))) n)>
#<alt (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n))>
#<alt (* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))) n))>
#<alt (* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))) n))>
#<alt (* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))) n))>
#<alt (* -1 (/ (+ 1 (log n)) n))>
#<alt (* -1 (/ (+ 1 (log n)) n))>
#<alt (* -1 (/ (+ 1 (log n)) n))>
#<alt (* -1 (/ (+ 1 (log n)) n))>
#<alt (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n))>
#<alt (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n))>
#<alt (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n))>
#<alt (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n))>
#<alt (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n))>
#<alt (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n))>
#<alt (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n))>
#<alt (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n))>
#<alt (* -1 (+ 1 (* -1 (+ 1 (log n)))))>
#<alt (* -1 (+ 1 (* -1 (+ 1 (log n)))))>
#<alt (* -1 (+ 1 (* -1 (+ 1 (log n)))))>
#<alt (* -1 (+ 1 (* -1 (+ 1 (log n)))))>
#<alt (* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))>
#<alt (* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))>
#<alt (* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))>
#<alt (* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))>
#<alt (* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))>
#<alt (* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))>
#<alt (* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))>
#<alt (* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))>
#<alt (* -1 (+ 1 (log n)))>
#<alt (* -1 (+ 1 (log n)))>
#<alt (* -1 (+ 1 (log n)))>
#<alt (* -1 (+ 1 (log n)))>
#<alt (* -1 (+ 1 (* -1 (log (/ 1 n)))))>
#<alt (* -1 (+ 1 (* -1 (log (/ 1 n)))))>
#<alt (* -1 (+ 1 (* -1 (log (/ 1 n)))))>
#<alt (* -1 (+ 1 (* -1 (log (/ 1 n)))))>
#<alt (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))>
#<alt (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))>
#<alt (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))>
#<alt (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))>
#<alt (* -1 (* n (+ 1 (log n))))>
#<alt (* -1 (* n (+ 1 (log n))))>
#<alt (* -1 (* n (+ 1 (log n))))>
#<alt (* -1 (* n (+ 1 (log n))))>
#<alt (* -1 (* n (+ 1 (* -1 (log (/ 1 n))))))>
#<alt (* -1 (* n (+ 1 (* -1 (log (/ 1 n))))))>
#<alt (* -1 (* n (+ 1 (* -1 (log (/ 1 n))))))>
#<alt (* -1 (* n (+ 1 (* -1 (log (/ 1 n))))))>
#<alt (* -1 (* n (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))>
#<alt (* -1 (* n (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))>
#<alt (* -1 (* n (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))>
#<alt (* -1 (* n (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))>
#<alt (* -1 (+ 1 (log n)))>
#<alt (* -1 (+ 1 (log n)))>
#<alt (* -1 (+ 1 (log n)))>
#<alt (* -1 (+ 1 (log n)))>
#<alt (* -1 (+ 1 (* -1 (log (/ 1 n)))))>
#<alt (* -1 (+ 1 (* -1 (log (/ 1 n)))))>
#<alt (* -1 (+ 1 (* -1 (log (/ 1 n)))))>
#<alt (* -1 (+ 1 (* -1 (log (/ 1 n)))))>
#<alt (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))>
#<alt (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))>
#<alt (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))>
#<alt (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))>
#<alt (/ -1/2 (pow n 2))>
#<alt (/ -1/2 (pow n 2))>
#<alt (/ -1/2 (pow n 2))>
#<alt (/ -1/2 (pow n 2))>
#<alt (/ -1/2 (pow n 2))>
#<alt (/ -1/2 (pow n 2))>
#<alt (/ -1/2 (pow n 2))>
#<alt (/ -1/2 (pow n 2))>
#<alt (/ -1/2 (pow n 2))>
#<alt (/ -1/2 (pow n 2))>
#<alt (/ -1/2 (pow n 2))>
#<alt (/ -1/2 (pow n 2))>
Calls

36 calls:

TimeVariablePointExpression
7.0ms
n
@-inf
(/ (log n) n)
3.0ms
n
@inf
(/ (log n) n)
1.0ms
n
@0
(* n (+ (/ (- -1 (log n)) n) (/ -1/2 (* n n))))
1.0ms
n
@-inf
(* n (+ (/ (- -1 (log n)) n) (/ -1/2 (* n n))))
1.0ms
n
@inf
(* n (+ (/ (- -1 (log n)) n) (/ -1/2 (* n n))))

rewrite387.0ms (5.1%)

Algorithm
1×batch-egg-rewrite
Rules
2450×/-lowering-/.f32
2450×/-lowering-/.f64
1792×*-lowering-*.f32
1792×*-lowering-*.f64
1742×fnmadd-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01697
17497
245465
3480763
0858763
Stop Event
1×iter limit
1×node limit
Counts
12 → 900
Calls
Call 1
Inputs
(* n (/ (log n) n))
(/ (log n) n)
(log n)
(* n (+ (/ (- -1 (log n)) n) (/ -1/2 (* n n))))
(- -1 (* n (+ (/ (- -1 (log n)) n) (/ -1/2 (* n n)))))
(+ (/ (- -1 (log n)) n) (/ -1/2 (* n n)))
(/ (- -1 (log n)) n)
(- -1 (/ (* n (- -1 (log n))) n))
(/ (* n (- -1 (log n))) n)
(* n (- -1 (log n)))
(- -1 (log n))
(/ -1/2 (* n n))
Outputs
(log.f64 n)
(+.f64 (log.f64 n) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 n))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n)))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) n)) (log.f64 #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 n))) #s(literal -1 binary64)))
(-.f64 (log.f64 n) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) n)) (log.f64 #s(literal -1 binary64)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)))
(neg.f64 (*.f64 (/.f64 (log.f64 n) (-.f64 #s(literal 0 binary64) n)) n))
(neg.f64 (*.f64 n (/.f64 (log.f64 n) (-.f64 #s(literal 0 binary64) n))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 n (log.f64 n))) n))
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simplify218.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
1870×+-lowering-+.f64
1870×+-lowering-+.f32
1596×--lowering--.f32
1596×--lowering--.f64
1384×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0651144
1212969
2689893
32224860
08398860
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
(log n)
(log n)
(log n)
(log n)
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(/ (log n) n)
(/ (log n) n)
(/ (log n) n)
(/ (log n) n)
(* -1 (/ (log (/ 1 n)) n))
(* -1 (/ (log (/ 1 n)) n))
(* -1 (/ (log (/ 1 n)) n))
(* -1 (/ (log (/ 1 n)) n))
(/ (+ (log -1) (* -1 (log (/ -1 n)))) n)
(/ (+ (log -1) (* -1 (log (/ -1 n)))) n)
(/ (+ (log -1) (* -1 (log (/ -1 n)))) n)
(/ (+ (log -1) (* -1 (log (/ -1 n)))) n)
(log n)
(log n)
(log n)
(log n)
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(/ -1/2 n)
(/ (- (* -1 (* n (+ 1 (log n)))) 1/2) n)
(/ (- (* -1 (* n (+ 1 (log n)))) 1/2) n)
(/ (- (* -1 (* n (+ 1 (log n)))) 1/2) n)
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(- (* -1 (+ 1 (* -1 (log (/ 1 n))))) (* 1/2 (/ 1 n)))
(- (* -1 (+ 1 (* -1 (log (/ 1 n))))) (* 1/2 (/ 1 n)))
(- (* -1 (+ 1 (* -1 (log (/ 1 n))))) (* 1/2 (/ 1 n)))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(- (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))) (* 1/2 (/ 1 n)))
(- (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))) (* 1/2 (/ 1 n)))
(- (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))) (* 1/2 (/ 1 n)))
(/ 1/2 n)
(/ (+ 1/2 (* -1 (* n (+ 1 (* -1 (+ 1 (log n))))))) n)
(/ (+ 1/2 (* -1 (* n (+ 1 (* -1 (+ 1 (log n))))))) n)
(/ (+ 1/2 (* -1 (* n (+ 1 (* -1 (+ 1 (log n))))))) n)
(* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))
(- (* 1/2 (/ 1 n)) (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))
(- (* 1/2 (/ 1 n)) (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))
(- (* 1/2 (/ 1 n)) (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))
(* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))
(- (* 1/2 (/ 1 n)) (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))
(- (* 1/2 (/ 1 n)) (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))
(- (* 1/2 (/ 1 n)) (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))
(/ -1/2 (pow n 2))
(/ (- (* -1 (* n (+ 1 (log n)))) 1/2) (pow n 2))
(/ (- (* -1 (* n (+ 1 (log n)))) 1/2) (pow n 2))
(/ (- (* -1 (* n (+ 1 (log n)))) 1/2) (pow n 2))
(* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n))
(/ (- (* -1 (+ 1 (* -1 (log (/ 1 n))))) (* 1/2 (/ 1 n))) n)
(/ (- (* -1 (+ 1 (* -1 (log (/ 1 n))))) (* 1/2 (/ 1 n))) n)
(/ (- (* -1 (+ 1 (* -1 (log (/ 1 n))))) (* 1/2 (/ 1 n))) n)
(* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n))
(* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))) n))
(* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))) n))
(* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))) n))
(* -1 (/ (+ 1 (log n)) n))
(* -1 (/ (+ 1 (log n)) n))
(* -1 (/ (+ 1 (log n)) n))
(* -1 (/ (+ 1 (log n)) n))
(* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n))
(* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n))
(* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n))
(* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n))
(* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n))
(* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n))
(* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n))
(* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n))
(* -1 (+ 1 (* -1 (+ 1 (log n)))))
(* -1 (+ 1 (* -1 (+ 1 (log n)))))
(* -1 (+ 1 (* -1 (+ 1 (log n)))))
(* -1 (+ 1 (* -1 (+ 1 (log n)))))
(* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))
(* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))
(* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))
(* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))
(* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))
(* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))
(* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))
(* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))
(* -1 (+ 1 (log n)))
(* -1 (+ 1 (log n)))
(* -1 (+ 1 (log n)))
(* -1 (+ 1 (log n)))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(* -1 (* n (+ 1 (log n))))
(* -1 (* n (+ 1 (log n))))
(* -1 (* n (+ 1 (log n))))
(* -1 (* n (+ 1 (log n))))
(* -1 (* n (+ 1 (* -1 (log (/ 1 n))))))
(* -1 (* n (+ 1 (* -1 (log (/ 1 n))))))
(* -1 (* n (+ 1 (* -1 (log (/ 1 n))))))
(* -1 (* n (+ 1 (* -1 (log (/ 1 n))))))
(* -1 (* n (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))
(* -1 (* n (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))
(* -1 (* n (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))
(* -1 (* n (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))
(* -1 (+ 1 (log n)))
(* -1 (+ 1 (log n)))
(* -1 (+ 1 (log n)))
(* -1 (+ 1 (log n)))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(/ -1/2 (pow n 2))
(/ -1/2 (pow n 2))
(/ -1/2 (pow n 2))
(/ -1/2 (pow n 2))
(/ -1/2 (pow n 2))
(/ -1/2 (pow n 2))
(/ -1/2 (pow n 2))
(/ -1/2 (pow n 2))
(/ -1/2 (pow n 2))
(/ -1/2 (pow n 2))
(/ -1/2 (pow n 2))
(/ -1/2 (pow n 2))
Outputs
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(/ (log n) n)
(/.f64 (log.f64 n) n)
(/ (log n) n)
(/.f64 (log.f64 n) n)
(/ (log n) n)
(/.f64 (log.f64 n) n)
(/ (log n) n)
(/.f64 (log.f64 n) n)
(* -1 (/ (log (/ 1 n)) n))
(/.f64 (log.f64 n) n)
(* -1 (/ (log (/ 1 n)) n))
(/.f64 (log.f64 n) n)
(* -1 (/ (log (/ 1 n)) n))
(/.f64 (log.f64 n) n)
(* -1 (/ (log (/ 1 n)) n))
(/.f64 (log.f64 n) n)
(/ (+ (log -1) (* -1 (log (/ -1 n)))) n)
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)
(/ (+ (log -1) (* -1 (log (/ -1 n)))) n)
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)
(/ (+ (log -1) (* -1 (log (/ -1 n)))) n)
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)
(/ (+ (log -1) (* -1 (log (/ -1 n)))) n)
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
(/ (- (* -1 (* n (+ 1 (log n)))) 1/2) n)
(+.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) (/.f64 #s(literal -1/2 binary64) n))
(/ (- (* -1 (* n (+ 1 (log n)))) 1/2) n)
(+.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) (/.f64 #s(literal -1/2 binary64) n))
(/ (- (* -1 (* n (+ 1 (log n)))) 1/2) n)
(+.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) (/.f64 #s(literal -1/2 binary64) n))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(- (* -1 (+ 1 (* -1 (log (/ 1 n))))) (* 1/2 (/ 1 n)))
(+.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) (/.f64 #s(literal -1/2 binary64) n))
(- (* -1 (+ 1 (* -1 (log (/ 1 n))))) (* 1/2 (/ 1 n)))
(+.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) (/.f64 #s(literal -1/2 binary64) n))
(- (* -1 (+ 1 (* -1 (log (/ 1 n))))) (* 1/2 (/ 1 n)))
(+.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) (/.f64 #s(literal -1/2 binary64) n))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
(- (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))) (* 1/2 (/ 1 n)))
(+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/2 binary64) n))
(- (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))) (* 1/2 (/ 1 n)))
(+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/2 binary64) n))
(- (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))) (* 1/2 (/ 1 n)))
(+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/2 binary64) n))
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
(/ (+ 1/2 (* -1 (* n (+ 1 (* -1 (+ 1 (log n))))))) n)
(+.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n))
(/ (+ 1/2 (* -1 (* n (+ 1 (* -1 (+ 1 (log n))))))) n)
(+.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n))
(/ (+ 1/2 (* -1 (* n (+ 1 (* -1 (+ 1 (log n))))))) n)
(+.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n))
(* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))
(log.f64 n)
(- (* 1/2 (/ 1 n)) (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))
(+.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n))
(- (* 1/2 (/ 1 n)) (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))
(+.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n))
(- (* 1/2 (/ 1 n)) (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))
(+.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n))
(* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(- (* 1/2 (/ 1 n)) (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 (/.f64 #s(literal -1 binary64) n))))
(- (* 1/2 (/ 1 n)) (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 (/.f64 #s(literal -1 binary64) n))))
(- (* 1/2 (/ 1 n)) (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 (/.f64 #s(literal -1 binary64) n))))
(/ -1/2 (pow n 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))
(/ (- (* -1 (* n (+ 1 (log n)))) 1/2) (pow n 2))
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) (/.f64 #s(literal -1/2 binary64) n)) n)
(/ (- (* -1 (* n (+ 1 (log n)))) 1/2) (pow n 2))
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) (/.f64 #s(literal -1/2 binary64) n)) n)
(/ (- (* -1 (* n (+ 1 (log n)))) 1/2) (pow n 2))
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) (/.f64 #s(literal -1/2 binary64) n)) n)
(* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n))
(/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n)
(/ (- (* -1 (+ 1 (* -1 (log (/ 1 n))))) (* 1/2 (/ 1 n))) n)
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) (/.f64 #s(literal -1/2 binary64) n)) n)
(/ (- (* -1 (+ 1 (* -1 (log (/ 1 n))))) (* 1/2 (/ 1 n))) n)
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) (/.f64 #s(literal -1/2 binary64) n)) n)
(/ (- (* -1 (+ 1 (* -1 (log (/ 1 n))))) (* 1/2 (/ 1 n))) n)
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) (/.f64 #s(literal -1/2 binary64) n)) n)
(* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) n)
(* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))) n))
(/.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/2 binary64) n)) n)
(* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))) n))
(/.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/2 binary64) n)) n)
(* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))) n))
(/.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/2 binary64) n)) n)
(* -1 (/ (+ 1 (log n)) n))
(/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n)
(* -1 (/ (+ 1 (log n)) n))
(/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n)
(* -1 (/ (+ 1 (log n)) n))
(/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n)
(* -1 (/ (+ 1 (log n)) n))
(/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n)
(* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n))
(/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n)
(* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n))
(/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n)
(* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n))
(/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n)
(* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n))
(/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n)
(* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) n)
(* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) n)
(* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) n)
(* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) n)
(* -1 (+ 1 (* -1 (+ 1 (log n)))))
(log.f64 n)
(* -1 (+ 1 (* -1 (+ 1 (log n)))))
(log.f64 n)
(* -1 (+ 1 (* -1 (+ 1 (log n)))))
(log.f64 n)
(* -1 (+ 1 (* -1 (+ 1 (log n)))))
(log.f64 n)
(* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))
(log.f64 n)
(* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))
(log.f64 n)
(* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))
(log.f64 n)
(* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))
(log.f64 n)
(* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(* -1 (+ 1 (log n)))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (log n)))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (log n)))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (log n)))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
(* -1 (* n (+ 1 (log n))))
(*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n)))
(* -1 (* n (+ 1 (log n))))
(*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n)))
(* -1 (* n (+ 1 (log n))))
(*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n)))
(* -1 (* n (+ 1 (log n))))
(*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n)))
(* -1 (* n (+ 1 (* -1 (log (/ 1 n))))))
(*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n)))
(* -1 (* n (+ 1 (* -1 (log (/ 1 n))))))
(*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n)))
(* -1 (* n (+ 1 (* -1 (log (/ 1 n))))))
(*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n)))
(* -1 (* n (+ 1 (* -1 (log (/ 1 n))))))
(*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n)))
(* -1 (* n (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))
(*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
(* -1 (* n (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))
(*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
(* -1 (* n (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))
(*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
(* -1 (* n (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))
(*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
(* -1 (+ 1 (log n)))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (log n)))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (log n)))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (log n)))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
(/ -1/2 (pow n 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))
(/ -1/2 (pow n 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))
(/ -1/2 (pow n 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))
(/ -1/2 (pow n 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))
(/ -1/2 (pow n 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))
(/ -1/2 (pow n 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))
(/ -1/2 (pow n 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))
(/ -1/2 (pow n 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))
(/ -1/2 (pow n 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))
(/ -1/2 (pow n 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))
(/ -1/2 (pow n 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))
(/ -1/2 (pow n 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))

eval221.0ms (2.9%)

Compiler

Compiled 23230 to 3752 computations (83.8% saved)

prune186.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New124021242
Fresh000
Picked314
Done000
Total124331246
Accuracy
100.0%
Counts
1246 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶4.8%
(/.f64 #s(literal 1/2 binary64) n)
▶100.0%
(log.f64 n)
✓3.1%
#s(literal 0 binary64)
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) n)
✓cost-diff0
(log.f64 n)
Rules
2×log-lowering-log.f64
2×/-lowering-/.f32
2×/-lowering-/.f64
2×log-lowering-log.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
048
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(log n)
n
(/ 1/2 n)
1/2
n
Outputs
(log n)
(log.f64 n)
n
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
1/2
#s(literal 1/2 binary64)
n

localize26.0ms (0.3%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) n)
✓accuracy100.0%
(log.f64 n)
Results
19.0ms256×0valid
Compiler

Compiled 10 to 5 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-log: 3.0ms (50% of total)
ival-div: 2.0ms (33.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (log n)>
#<alt (/ 1/2 n)>
Outputs
#<alt (log n)>
#<alt (log n)>
#<alt (log n)>
#<alt (log n)>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
n
@0
(/ 1/2 n)
0.0ms
n
@inf
(/ 1/2 n)
0.0ms
n
@-inf
(/ 1/2 n)
0.0ms
n
@0
(log n)
0.0ms
n
@-inf
(log n)

rewrite132.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1522×fnmadd-define
1366×fnmsub-define
1284×fmsub-define
1092×fmm-def
1056×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
1135
2465
31515
43575
56935
627045
765175
874705
080775
Stop Event
1×iter limit
1×node limit
Counts
2 → 101
Calls
Call 1
Inputs
(log n)
(/ 1/2 n)
Outputs
(log.f64 n)
(+.f64 (log.f64 n) #s(literal 0 binary64))
(+.f64 (log.f64 n) (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal -1 binary64) n))))
(+.f64 (log.f64 n) (neg.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 #s(literal 0 binary64) n)))))
(+.f64 (log.f64 n) (*.f64 #s(literal 1 binary64) (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal -1 binary64) n)))))
(+.f64 (log.f64 n) (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 #s(literal 0 binary64) n)))))
(+.f64 (log.f64 n) (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal -1 binary64) n))) #s(literal 1 binary64)))
(+.f64 (log.f64 n) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 #s(literal 0 binary64) n))) #s(literal -1 binary64)))
(+.f64 (log.f64 n) (log.f64 (pow.f64 (E.f64) (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal -1 binary64) n))))))
(+.f64 (log.f64 n) (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 #s(literal 0 binary64) n))))))
(+.f64 (log.f64 n) (log.f64 (exp.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal -1 binary64) n))))))
(+.f64 #s(literal 0 binary64) (log.f64 n))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n)))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) n)) (log.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal -1 binary64) n))) (log.f64 n))
(+.f64 (log.f64 (pow.f64 #s(literal 1 binary64) (log.f64 n))) (log.f64 n))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (E.f64) (E.f64))) (log.f64 n))) (log.f64 (pow.f64 (cbrt.f64 (E.f64)) (log.f64 n))))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 n))) (log.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 n))))
(-.f64 (log.f64 n) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 n)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) n)) (log.f64 #s(literal -1 binary64)))
(fma.f64 (log.f64 n) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (log.f64 n) #s(literal 1 binary64) (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal -1 binary64) n))))
(fma.f64 #s(literal 1 binary64) (log.f64 n) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (log.f64 n) (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal -1 binary64) n))))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n)))
(fma.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 0 binary64) n)) (log.f64 #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 n)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 n)) (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal -1 binary64) n))))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 0 binary64) n)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 (-.f64 #s(literal 0 binary64) n)))
(fma.f64 (log.f64 (-.f64 #s(literal 0 binary64) n)) #s(literal 1 binary64) (log.f64 #s(literal -1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 n)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 n)) #s(literal -1 binary64) (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal -1 binary64) n))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 n)))
(*.f64 (log.f64 n) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 n))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 n)))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 n)) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) n))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) n)))
(-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) n))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (E.f64) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 #s(literal 0 binary64) n)))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal -1 binary64) n)))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (log.f64 (/.f64 n n))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (E.f64) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) n))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (E.f64) (log.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 n #s(literal -1/2 binary64))))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (log.f64 (*.f64 (/.f64 n #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n)))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 #s(literal 0 binary64) n)))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 n #s(literal -1/2 binary64))))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) n))) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) n) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) n) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1/2 binary64) n))) (/.f64 #s(literal 1/2 binary64) n) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (E.f64) (E.f64))) (log.f64 (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) n))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) n))) #s(literal 0 binary64))
(neg.f64 (/.f64 #s(literal -1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) n)
(/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 n #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64))
(pow.f64 (/.f64 n #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 1/2 binary64) n)))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (log.f64 (/.f64 n #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (E.f64) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 #s(literal 0 binary64) n)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal -1 binary64) n)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (log.f64 (/.f64 n n))))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (E.f64) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) n))))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (E.f64) (log.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 n #s(literal -1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (log.f64 (*.f64 (/.f64 n #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 #s(literal 0 binary64) n)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 n #s(literal -1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) n))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) n))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal -1 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1/2 binary64) n))) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (E.f64) (E.f64))) (log.f64 (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) n))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) n))))

simplify24.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
140×fnmadd-define
130×sum3-define
96×fma-lowering-fma.f32
96×fnmsub-define
96×fmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01484
12380
23280
35080
47080
512580
619580
727580
835980
946580
1054380
1154980
054980
Stop Event
1×iter limit
1×saturated
Counts
24 → 24
Calls
Call 1
Inputs
(log n)
(log n)
(log n)
(log n)
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
Outputs
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)

eval14.0ms (0.2%)

Compiler

Compiled 976 to 171 computations (82.5% saved)

prune14.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1250125
Fresh000
Picked022
Done011
Total1253128
Accuracy
100.0%
Counts
128 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓4.8%
(/.f64 #s(literal 1/2 binary64) n)
✓100.0%
(log.f64 n)
✓3.1%
#s(literal 0 binary64)
Compiler

Compiled 76 to 38 computations (50% saved)

regimes8.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 1/2 binary64) n)
(log.f64 n)
(*.f64 n (/.f64 (log.f64 n) n))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n))) n))
(-.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))
(-.f64 #s(literal -1 binary64) (+.f64 (*.f64 n (log.f64 n)) (*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))))
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
Outputs
(log.f64 n)
Calls

3 calls:

3.0ms
n
2.0ms
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
2.0ms
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
100.0%1n
100.0%1(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
100.0%1(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
Compiler

Compiled 32 to 18 computations (43.8% saved)

regimes3.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 1/2 binary64) n)
Outputs
(/.f64 #s(literal 1/2 binary64) n)
Calls

1 calls:

3.0ms
n
Results
AccuracySegmentsBranch
4.8%1n
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

1 calls:

1.0ms
n
Results
AccuracySegmentsBranch
3.1%1n
Compiler

Compiled 2 to 1 computations (50% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
Stop Event
1×saturated
Calls
Call 1
Inputs
(log.f64 n)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 0 binary64)
Outputs
(log.f64 n)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 0 binary64)

soundness1.3s (16.8%)

Rules
3346×+-lowering-+.f64
3346×+-lowering-+.f32
2644×sum3-define
2450×/-lowering-/.f32
2450×/-lowering-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0914
12611
26711
319511
444711
5122811
6310511
7573711
0802211
0651144
1212969
2689893
32224860
08398860
0217942
1762744
22910634
08477634
01697
17497
245465
3480763
0858763
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 20 to 16 computations (20% saved)

preprocess69.0ms (0.9%)

Compiler

Compiled 96 to 62 computations (35.4% saved)

end0.0ms (0%)

Profiling

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