2log (problem 3.3.6)

Time bar (total: 6.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%3.2%96.8%0%0%0%0
100%3.2%0%96.8%0%0%0%1
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.7s (26.8%)

Memory
58.1MiB live, 1 477.5MiB allocated; 336ms collecting garbage
Samples
1.3s7 267×1valid
49.0ms989×0valid
Precisions
Click to see histograms. Total time spent on operations: 988.0ms
ival-log1p: 410.0ms (41.5% of total)
ival-log: 266.0ms (26.9% of total)
adjust: 152.0ms (15.4% of total)
ival-sub: 79.0ms (8% of total)
ival->: 28.0ms (2.8% of total)
ival-<: 28.0ms (2.8% of total)
ival-and: 12.0ms (1.2% of total)
exact: 10.0ms (1% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain177.0ms (2.8%)

Memory
-87.3MiB live, 116.3MiB allocated; 62ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2480-1(15.009284971441051)(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
00-0-N
00-0-(log.f64 N)
00-0-(+.f64 N #s(literal 1 binary64))
00-0-(log.f64 (+.f64 N #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))cancellation2473
Confusion
Predicted +Predicted -
+2471
-08
Precision
1.0
Recall
0.9959677419354839
Confusion?
Predicted +Predicted MaybePredicted -
+24710
-026
Precision?
0.992
Recall?
1.0
Freqs
test
numberfreq
09
1247
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
62.0ms462×1valid
3.0ms50×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-log: 14.0ms (29.3% of total)
ival-log1p: 14.0ms (29.3% of total)
adjust: 12.0ms (25.1% of total)
ival-sub: 4.0ms (8.4% of total)
ival-add: 2.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess12.0ms (0.2%)

Memory
15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11119
067
0107
1137
0135
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Outputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.4%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 N)
cost-diff0
(+.f64 N #s(literal 1 binary64))
cost-diff0
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
cost-diff2
(log.f64 (+.f64 N #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01018
11318
01314
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(log.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(log.f64 N)
Outputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 N #s(literal 1 binary64)))
(log1p.f64 N)
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
N
#s(literal 1 binary64)
(log.f64 N)

localize44.0ms (0.7%)

Memory
-3.3MiB live, 43.9MiB allocated; 7ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 N #s(literal 1 binary64))
accuracy0.0
(log.f64 (+.f64 N #s(literal 1 binary64)))
accuracy0.0
(log.f64 N)
accuracy49.678842029425255
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Samples
36.0ms231×1valid
1.0ms25×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
adjust: 11.0ms (38.5% of total)
ival-log1p: 8.0ms (28% of total)
ival-log: 6.0ms (21% of total)
ival-sub: 2.0ms (7% of total)
ival-add: 1.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series63.0ms (1%)

Memory
10.9MiB live, 53.7MiB allocated; 11ms collecting garbage
Counts
4 → 27
Calls
Call 1
Inputs
(log.f64 (+.f64 N #s(literal 1 binary64)))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(+.f64 N #s(literal 1 binary64))
(log.f64 N)
Outputs
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 N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
1
(+ 1 N)
(log N)
(* -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)))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(* N (+ 1 (/ 1 N)))
(+ (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 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
Calls

3 calls:

TimeVariablePointExpression
23.0ms
N
@0
((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
22.0ms
N
@inf
((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
18.0ms
N
@-inf
((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))

simplify150.0ms (2.4%)

Memory
-2.1MiB live, 93.3MiB allocated; 20ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088259
1254233
2628233
31724230
45376227
08294221
Stop Event
iter limit
node limit
Counts
27 → 26
Calls
Call 1
Inputs
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 N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
1
(+ 1 N)
(log N)
(* -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)))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(* N (+ 1 (/ 1 N)))
(+ (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 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
Outputs
N
(* N (+ 1 (* -1/2 N)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N)
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N)
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) N #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N)
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N)))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N (-.f64 N (log.f64 N)))
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(log N)
(log.f64 N)
(* -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 (log.f64 N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(-.f64 (log.f64 N) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal -1/2 binary64)) N) #s(literal 1 binary64)) N))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(+ (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 (-.f64 (/.f64 #s(literal 1 binary64) N) (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)) (log.f64 (/.f64 #s(literal -1 binary64) 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)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal -1/2 binary64)) N) #s(literal 1 binary64)) N)) (log.f64 (/.f64 #s(literal -1 binary64) N)))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)

rewrite200.0ms (3.2%)

Memory
7.2MiB live, 199.0MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
01015
14115
225415
3234215
0841911
Stop Event
iter limit
node limit
iter limit
Counts
4 → 238
Calls
Call 1
Inputs
(log.f64 (+.f64 N #s(literal 1 binary64)))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(+.f64 N #s(literal 1 binary64))
(log.f64 N)
Outputs
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 N)))) (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 N)))))
(*.f64 (sqrt.f64 (neg.f64 (log1p.f64 N))) (sqrt.f64 (neg.f64 (log1p.f64 N))))
(*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))
(pow.f64 (neg.f64 (log1p.f64 N)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (log1p.f64 N) #s(literal 1 binary64))
(log1p.f64 N)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (fabs.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)))) (fabs.f64 (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 N)))) (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 N)))) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 N)))) (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 N)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 N))) (sqrt.f64 (neg.f64 (log1p.f64 N))) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))))
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 N))) (sqrt.f64 (neg.f64 (log1p.f64 N))) #s(literal 0 binary64))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 N #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (fma.f64 N N (pow.f64 N #s(literal 3 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 N N)) (neg.f64 (-.f64 N #s(literal 1 binary64)))) (*.f64 (neg.f64 (-.f64 N #s(literal 1 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 N N)) (-.f64 N #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 N #s(literal 1 binary64))) (-.f64 N #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 N N) (neg.f64 (-.f64 N #s(literal 1 binary64)))) (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 N #s(literal 1 binary64)) (neg.f64 (-.f64 N #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (*.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (*.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 N #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 3 binary64)))) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (*.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (*.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64))) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (-.f64 (neg.f64 (*.f64 N N)) #s(literal -1 binary64)) (neg.f64 (-.f64 N #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -2 binary64))) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (-.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (/.f64 (pow.f64 N #s(literal 9 binary64)) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 N #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (-.f64 N #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(neg.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 N))) (sqrt.f64 (neg.f64 (neg.f64 N))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 N)) (sqrt.f64 (neg.f64 N)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)) (pow.f64 N #s(literal 4 binary64))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)) (pow.f64 N #s(literal 4 binary64))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (/.f64 (pow.f64 N #s(literal 3/2 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))
(fma.f64 (*.f64 N N) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
(fma.f64 N (/.f64 (*.f64 N N) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 N))
(+.f64 (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(+.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (log.f64 N)))) (sqrt.f64 (neg.f64 (neg.f64 (log.f64 N)))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))))
(*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)))
(pow.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (log.f64 N) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 (log.f64 N)))) (sqrt.f64 (neg.f64 (neg.f64 (log.f64 N)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) #s(literal 0 binary64))
(sqrt.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (log.f64 N))))
(fabs.f64 (neg.f64 (log.f64 N)))
(fabs.f64 (log.f64 N))
(+.f64 (cosh.f64 (log.f64 (log.f64 N))) (sinh.f64 (log.f64 (log.f64 N))))
(+.f64 #s(literal 0 binary64) (log.f64 N))
(+.f64 (log.f64 N) #s(literal 0 binary64))
(exp.f64 (/.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 N)))
(log.f64 N)

eval32.0ms (0.5%)

Memory
16.5MiB live, 61.5MiB allocated; 4ms collecting garbage
Compiler

Compiled 6 119 to 1 019 computations (83.3% saved)

prune10.0ms (0.2%)

Memory
-24.7MiB live, 20.9MiB allocated; 5ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2538261
Fresh000
Picked101
Done000
Total2548262
Accuracy
100.0%
Counts
262 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.2%
(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
99.8%
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))
99.8%
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
25.4%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
97.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
96.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
94.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
86.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Compiler

Compiled 240 to 172 computations (28.3% saved)

simplify190.0ms (3%)

Memory
28.3MiB live, 173.5MiB allocated; 15ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f64 N)
cost-diff0
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
cost-diff6
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
cost-diff8
(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) N)
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
cost-diff2
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
cost-diff0
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
cost-diff0
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
cost-diff0
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
cost-diff0
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
cost-diff0
(/.f64 #s(literal 1 binary64) N)
cost-diff0
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
cost-diff0
(pow.f64 N #s(literal -1 binary64))
cost-diff0
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033191
056185
191175
2215167
3910165
44823165
09199165
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(pow.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
N
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(+.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(log1p.f64 N)
N
#s(literal 2 binary64)
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 N)
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))
Outputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(pow.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 N #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) N)
(pow.f64 N #s(literal -1 binary64))
#s(literal 1 binary64)
N
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
N
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(+.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(log1p.f64 N)
N
#s(literal 2 binary64)
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 N)
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))
(neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))

localize214.0ms (3.4%)

Memory
-28.5MiB live, 163.9MiB allocated; 37ms collecting garbage
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.45998002930532605
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy0.47884750976844204
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))
accuracy0.541347509768442
(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy48.11642577119168
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
accuracy0.0
(+.f64 #s(literal 1 binary64) N)
accuracy0.0078125
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
accuracy47.74512948811855
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
accuracy0.08203125
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
accuracy0.08984375
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
accuracy0.39453125
(/.f64 #s(literal 1/3 binary64) N)
accuracy2.406296245473586
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
accuracy0.0
(/.f64 #s(literal 1 binary64) N)
accuracy8.896366797537425
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
accuracy0.0
(pow.f64 N #s(literal -1 binary64))
accuracy0.12109375
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
Samples
183.0ms237×1valid
4.0ms19×0valid
Compiler

Compiled 205 to 31 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 163.0ms
ival-pow2: 62.0ms (38.1% of total)
adjust: 35.0ms (21.5% of total)
ival-log: 15.0ms (9.2% of total)
ival-div: 12.0ms (7.4% of total)
ival-log1p: 11.0ms (6.8% of total)
ival-pow: 6.0ms (3.7% of total)
ival-add: 6.0ms (3.7% of total)
ival-mult: 5.0ms (3.1% of total)
ival-sub: 4.0ms (2.5% of total)
const: 4.0ms (2.5% of total)
ival-neg: 2.0ms (1.2% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series46.0ms (0.7%)

Memory
21.4MiB live, 63.8MiB allocated; 8ms collecting garbage
Counts
18 → 90
Calls
Call 1
Inputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(pow.f64 N #s(literal -1 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(+.f64 #s(literal 1 binary64) N)
(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(log1p.f64 N)
(/.f64 #s(literal 1/3 binary64) N)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))
Outputs
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ 1 N)
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/ 1/3 (pow N 2))
(/ (+ 1/3 (* -1/2 N)) (pow N 2))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 2))
(/ (+ 1 N) N)
1
(+ 1 N)
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (* -1 (/ (- (* 2/3 (log N)) 1) (log N))) (* 2 (/ (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))) (log N))))))) (/ 1 (log N)))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(* -1 (pow (log N) 3))
(+ (* -1 (* N (pow (log N) 2))) (* -1 (pow (log N) 3)))
(+ (* -1 (pow (log N) 3)) (* N (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (* 1/2 (pow (log N) 2)))))))
(+ (* -1 (pow (log N) 3)) (* N (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (+ (* 1/2 (pow (log N) 2)) (* N (+ 1 (+ (* -1 (log N)) (* -1/3 (pow (log N) 2)))))))))))
(pow N 2)
(* (pow N 2) (+ 1 (* -1 N)))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
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))))
(/ 1/3 N)
(pow (log N) 2)
(+ (* 2 (* N (log N))) (pow (log N) 2))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (* -1 (log N)))))) (pow (log N) 2))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 2/3 (log N)) 1))))))) (pow (log N) 2))
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(+ 1 (/ 1 N))
(* N (+ 1 (/ 1 N)))
(* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2)))
(- (+ (* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2))))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))))
(- (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (+ (* -1/2 (pow (log (/ 1 N)) 2)) (* 1/2 (pow (log (/ 1 N)) 2))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2)))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))) (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3)))) (* (pow N 2) (pow (log (/ 1 N)) 4)))))))
(- (+ (* 1/4 (/ (+ 1 (+ (* -2 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (+ (* -1/3 (pow (log (/ 1 N)) 2)) (+ (* 1/3 (pow (log (/ 1 N)) 2)) (* 2 (log (/ 1 N))))))) (* (pow N 3) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (+ (* -1/2 (pow (log (/ 1 N)) 2)) (* 1/2 (pow (log (/ 1 N)) 2))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2))))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (+ (* -1/2 (pow (log (/ 1 N)) 2)) (* 1/2 (pow (log (/ 1 N)) 2))))) (pow (log (/ 1 N)) 2))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (log (/ 1 N)))) (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3)))) (pow (log (/ 1 N)) 4))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))) (+ (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3)))) (* (pow N 2) (pow (log (/ 1 N)) 4)))) (+ (* 1/16 (/ (* (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (- (* -4/3 (log (/ 1 N))) 1)) (* (pow N 3) (pow (log (/ 1 N)) 4)))) (* 1/4 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (- (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3))))) (* (pow N 3) (pow (log (/ 1 N)) 2))))))))))
(+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3)))
(+ (* -2 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 2 (pow (log (/ 1 N)) 3)) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N)))))
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -2 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 3)) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N)))))))))
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 3))) (+ (* -2 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* -1/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (pow (log (/ 1 N)) 3)) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ 1 (pow N 3)) (/ (pow (log (/ 1 N)) 2) N))))))))))))))
(pow (log (/ 1 N)) 2)
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3)))
(* -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)))
(* 4 (pow (log (/ 1 N)) 2))
(+ (* -4 (/ (log (/ 1 N)) N)) (* 4 (pow (log (/ 1 N)) 2)))
(+ (* -4 (/ (log (/ 1 N)) N)) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))
(- (+ (* -4 (/ (log (/ 1 N)) N)) (+ (* -4/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))) (/ 1 (pow N 3)))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(/ (+ (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
(+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (* -2 (/ (+ (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) N)) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))
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(+ (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))))
(pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)
(+ (* 2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
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(+ (* -1 (/ (+ (* -2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (* -2/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N)))) N))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
Calls

3 calls:

TimeVariablePointExpression
18.0ms
N
@inf
((log (+ 1 (pow N -1))) (pow N -1) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (log (/ (+ 1 N) N)) (/ (+ 1 N) N) (+ 1 N) (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (log (+ 1 N)) 2) (log (+ 1 N)) (/ 1/3 N) (pow (log N) 2) (pow (+ (log N) (log (+ 1 N))) 2))
16.0ms
N
@-inf
((log (+ 1 (pow N -1))) (pow N -1) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (log (/ (+ 1 N) N)) (/ (+ 1 N) N) (+ 1 N) (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (log (+ 1 N)) 2) (log (+ 1 N)) (/ 1/3 N) (pow (log N) 2) (pow (+ (log N) (log (+ 1 N))) 2))
10.0ms
N
@0
((log (+ 1 (pow N -1))) (pow N -1) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (log (/ (+ 1 N) N)) (/ (+ 1 N) N) (+ 1 N) (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (log (+ 1 N)) 2) (log (+ 1 N)) (/ 1/3 N) (pow (log N) 2) (pow (+ (log N) (log (+ 1 N))) 2))

simplify186.0ms (2.9%)

Memory
-17.4MiB live, 170.9MiB allocated; 20ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05284097
119082505
087172395
Stop Event
iter limit
node limit
Counts
90 → 89
Calls
Call 1
Inputs
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ 1 N)
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/ 1/3 (pow N 2))
(/ (+ 1/3 (* -1/2 N)) (pow N 2))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 2))
(/ (+ 1 N) N)
1
(+ 1 N)
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (* -1 (/ (- (* 2/3 (log N)) 1) (log N))) (* 2 (/ (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))) (log N))))))) (/ 1 (log N)))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(* -1 (pow (log N) 3))
(+ (* -1 (* N (pow (log N) 2))) (* -1 (pow (log N) 3)))
(+ (* -1 (pow (log N) 3)) (* N (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (* 1/2 (pow (log N) 2)))))))
(+ (* -1 (pow (log N) 3)) (* N (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (+ (* 1/2 (pow (log N) 2)) (* N (+ 1 (+ (* -1 (log N)) (* -1/3 (pow (log N) 2)))))))))))
(pow N 2)
(* (pow N 2) (+ 1 (* -1 N)))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
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))))
(/ 1/3 N)
(pow (log N) 2)
(+ (* 2 (* N (log N))) (pow (log N) 2))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (* -1 (log N)))))) (pow (log N) 2))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 2/3 (log N)) 1))))))) (pow (log N) 2))
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(+ 1 (/ 1 N))
(* N (+ 1 (/ 1 N)))
(* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2)))
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#s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 0 binary64)) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64))))))) N)) (-.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64) (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))))) (fma.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal -2 binary64))))) N) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 0 binary64))) N) #s(literal -1 binary64) #s(literal 0 binary64))
(+ (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
#s(literal 0 binary64)
(+ (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (+ (* -2 (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 4 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal -4 binary64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 0 binary64)) N) #s(literal -1 binary64) #s(literal 0 binary64))
(+ (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (+ (* -2 (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) N)) (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) N) #s(literal -1 binary64) (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 4 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal -4 binary64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 0 binary64))) N) #s(literal -1 binary64) #s(literal 0 binary64))
(+ (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (+ (* -2 (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))))) N)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))) N)) (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 0 binary64) (fma.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))) N) #s(literal -1 binary64) (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))))) N) #s(literal -1 binary64) (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 4 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal -4 binary64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 0 binary64))) N) #s(literal -1 binary64) #s(literal 0 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) N) #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(fma.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) (/.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64)) N)) N) #s(literal -1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(fma.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64)) N)) (neg.f64 N))) N) #s(literal -1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))
(+ (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 (-.f64 (/.f64 #s(literal 1 binary64) N) (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64)))
(+ (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 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) 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 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) N))
(pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)
(pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64))
(+ (* 2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
(fma.f64 (/.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) N) #s(literal 2 binary64) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
(fma.f64 (/.f64 (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 4 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal -4 binary64))) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) #s(literal 1 binary64)) N)) N) #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (* -2/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N)))) N))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
(fma.f64 (/.f64 (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 4 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal -4 binary64))) (/.f64 (-.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4/3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (fma.f64 #s(literal -4/3 binary64) (log.f64 #s(literal -1 binary64)) #s(literal 1 binary64))) N)) N)) N) #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64)))

rewrite205.0ms (3.2%)

Memory
11.4MiB live, 201.2MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033151
056120
1227112
21529112
08367112
Stop Event
iter limit
node limit
iter limit
Counts
18 → 977
Calls
Call 1
Inputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(pow.f64 N #s(literal -1 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(+.f64 #s(literal 1 binary64) N)
(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(log1p.f64 N)
(/.f64 #s(literal 1/3 binary64) N)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (/.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (log.f64 (/.f64 (pow.f64 (fma.f64 N N N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (fma.f64 N N N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))) (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (log.f64 (/.f64 (pow.f64 (fma.f64 N N N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (fma.f64 N N N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))) (log1p.f64 (pow.f64 N #s(literal -1 binary64))))
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(*.f64 (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (log.f64 N) (log1p.f64 N)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))))
(pow.f64 (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64))) (fma.f64 (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (pow.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (*.f64 (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (-.f64 (*.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N))) (*.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (-.f64 (*.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (*.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))) (neg.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))) (neg.f64 (fma.f64 (log1p.f64 N) (log1p.f64 (pow.f64 N #s(literal -1 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (neg.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (neg.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (log1p.f64 N) (log1p.f64 (pow.f64 N #s(literal -1 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (neg.f64 (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log1p.f64 N) (log1p.f64 (pow.f64 N #s(literal -1 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (neg.f64 (*.f64 (fma.f64 (log1p.f64 N) (log1p.f64 (pow.f64 N #s(literal -1 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (fma.f64 (log1p.f64 N) (log1p.f64 (pow.f64 N #s(literal -1 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (fma.f64 (log1p.f64 N) (log1p.f64 (pow.f64 N #s(literal -1 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (-.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 N) (log1p.f64 (pow.f64 N #s(literal -1 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log1p.f64 N) (log1p.f64 (pow.f64 N #s(literal -1 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (*.f64 (fma.f64 (log1p.f64 N) (log1p.f64 (pow.f64 N #s(literal -1 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (log1p.f64 N) (log1p.f64 (pow.f64 N #s(literal -1 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
(fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)))
(fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)))
(fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))
(fma.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))
(fabs.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
(+.f64 (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))
(+.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)))
(+.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))))
(+.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))
(exp.f64 (+.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (log.f64 (+.f64 (log.f64 N) (log1p.f64 N)))))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (fma.f64 N N N) #s(literal -1 binary64)) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))))
(log.f64 (exp.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))

eval151.0ms (2.4%)

Memory
19.6MiB live, 164.7MiB allocated; 24ms collecting garbage
Compiler

Compiled 37 926 to 3 361 computations (91.1% saved)

prune29.0ms (0.5%)

Memory
-23.6MiB live, 65.1MiB allocated; 9ms collecting garbage
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New84213855
Fresh033
Picked325
Done000
Total84518863
Accuracy
100.0%
Counts
863 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)))
99.8%
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))
99.1%
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
99.7%
(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
3.3%
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64))
96.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
97.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
96.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
94.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
96.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (/.f64 #s(literal 1/2 binary64) N)) #s(literal -1 binary64)) N))
95.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
96.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
96.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N))
86.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
96.1%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
96.1%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)))
97.3%
#s(approx (log (+ 1 (pow N -1))) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) N))
Compiler

Compiled 706 to 500 computations (29.2% saved)

simplify105.0ms (1.7%)

Memory
-0.9MiB live, 104.7MiB allocated; 18ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 N #s(literal -1/2 binary64))
cost-diff0
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
cost-diff2
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff2
(*.f64 (*.f64 (neg.f64 N) N) N)
cost-diff2
(-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64)))
cost-diff3
(*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))
cost-diff4
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))
cost-diff0
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
cost-diff0
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)
cost-diff0
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
cost-diff2
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))
cost-diff0
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) N)
cost-diff0
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045243
066221
1116207
2367194
32045184
47359184
08225176
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
N
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) N)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))
(-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N)
(neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
N
#s(literal 1/2 binary64)
(*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))
(*.f64 (neg.f64 N) N)
(neg.f64 N)
#s(literal -1 binary64)
(*.f64 (*.f64 (neg.f64 N) N) N)
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 N #s(literal -1/2 binary64))
N
#s(literal -1/2 binary64)
#s(literal 2 binary64)
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) N)
(pow.f64 N #s(literal -1 binary64))
#s(literal 1 binary64)
N
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (pow.f64 N #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)))
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))
(*.f64 (pow.f64 N #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)
(*.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
N
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) N)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (pow.f64 N #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)))
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))
(*.f64 (pow.f64 N #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
(-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64)))
(*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (neg.f64 N))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N)
(*.f64 (neg.f64 N) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))
(neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
N
#s(literal 1/2 binary64)
(*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))
(*.f64 N N)
(*.f64 (neg.f64 N) N)
(neg.f64 N)
#s(literal -1 binary64)
(*.f64 (*.f64 (neg.f64 N) N) N)
(pow.f64 (neg.f64 N) #s(literal 3 binary64))
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 N #s(literal -1 binary64))
(pow.f64 N #s(literal -1/2 binary64))
N
#s(literal -1/2 binary64)
#s(literal 2 binary64)

localize238.0ms (3.8%)

Memory
19.1MiB live, 299.5MiB allocated; 26ms collecting garbage
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(pow.f64 N #s(literal -1/2 binary64))
accuracy0.12109375
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
accuracy0.560878759768442
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy0.2890625
(*.f64 (*.f64 (neg.f64 N) N) N)
accuracy0.3125
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))
accuracy0.39453125
(/.f64 #s(literal 1/3 binary64) N)
accuracy2.406296245473586
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
accuracy0.109375
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))
accuracy0.3046875
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)
accuracy0.39453125
(/.f64 #s(literal 1/3 binary64) N)
accuracy2.406296245473586
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
accuracy61.89932708837576
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64))
accuracy0.0
(/.f64 #s(literal 1 binary64) N)
accuracy0.12109375
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
Samples
161.0ms234×1valid
6.0ms22×0valid
Compiler

Compiled 210 to 41 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 140.0ms
adjust: 28.0ms (19.9% of total)
ival-pow2: 19.0ms (13.5% of total)
ival-pow: 19.0ms (13.5% of total)
ival-div: 18.0ms (12.8% of total)
ival-mult: 15.0ms (10.7% of total)
ival-log1p: 14.0ms (10% of total)
ival-sub: 7.0ms (5% of total)
ival-log: 6.0ms (4.3% of total)
const: 4.0ms (2.8% of total)
ival-neg: 4.0ms (2.8% of total)
ival-add: 4.0ms (2.8% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Counts
16 → 50
Calls
Call 1
Inputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64))
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))
(*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))
(-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 N) N) N)
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 N #s(literal -1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
Outputs
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ 1 N)
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (* -1 (/ (- (* 2/3 (log N)) 1) (log N))) (* 2 (/ (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))) (log N))))))) (/ 1 (log N)))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1/3 (pow N 2))
(/ (+ 1/3 (* -1/2 N)) (pow N 2))
(pow N 2)
-1/3
(- (* 1/2 N) 1/3)
(- (* N (+ 1/2 (* -1 N))) 1/3)
(* -1 (pow N 3))
(sqrt (/ 1 N))
(/ 1/3 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2)))
(- (+ (* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2))))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))))
(- (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (+ (* -1/2 (pow (log (/ 1 N)) 2)) (* 1/2 (pow (log (/ 1 N)) 2))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2)))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))) (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3)))) (* (pow N 2) (pow (log (/ 1 N)) 4)))))))
(- (+ (* 1/4 (/ (+ 1 (+ (* -2 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (+ (* -1/3 (pow (log (/ 1 N)) 2)) (+ (* 1/3 (pow (log (/ 1 N)) 2)) (* 2 (log (/ 1 N))))))) (* (pow N 3) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (+ (* -1/2 (pow (log (/ 1 N)) 2)) (* 1/2 (pow (log (/ 1 N)) 2))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2))))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (+ (* -1/2 (pow (log (/ 1 N)) 2)) (* 1/2 (pow (log (/ 1 N)) 2))))) (pow (log (/ 1 N)) 2))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (log (/ 1 N)))) (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3)))) (pow (log (/ 1 N)) 4))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))) (+ (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3)))) (* (pow N 2) (pow (log (/ 1 N)) 4)))) (+ (* 1/16 (/ (* (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (- (* -4/3 (log (/ 1 N))) 1)) (* (pow N 3) (pow (log (/ 1 N)) 4)))) (* 1/4 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (- (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3))))) (* (pow N 3) (pow (log (/ 1 N)) 2))))))))))
(/ -1/2 (pow N 2))
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(* -1 (pow N 2))
(* (pow N 2) (- (* 1/2 (/ 1 N)) 1))
(* (pow N 2) (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/ (+ (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
(+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (* -2 (/ (+ (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) N)) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))
(+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (+ (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))) (+ (* -2 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (* -2 (/ (+ (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ (* (+ 1 (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) N)) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (* -2 (/ (+ (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) N)) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))
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(log (/ -1 N))) (* 2 (log -1))))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(* (pow N 2) (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1))
(* -1 (/ (pow (sqrt -1) 2) N))
(* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N))
(* (sqrt (/ 1 N)) (pow (sqrt -1) 2))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
N
@-inf
((log (+ 1 (/ 1 N))) (/ 1 N) (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) (- (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ -1 N)) (- (log (+ N 1)) (log N)) (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ (- (/ 1/3 N) 1/2) N) (/ (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (* (* (neg N) N) N)) (* (* (neg N) N) -1) (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (* (* (neg N) N) N) (pow (pow N -1/2) 2) (log (+ 1 (pow (pow N -1/2) 2))) (pow N -1/2) (/ 1/3 N) (- (log (+ N 1)) (log N)))
3.0ms
N
@inf
((log (+ 1 (/ 1 N))) (/ 1 N) (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) (- (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ -1 N)) (- (log (+ N 1)) (log N)) (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ (- (/ 1/3 N) 1/2) N) (/ (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (* (* (neg N) N) N)) (* (* (neg N) N) -1) (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (* (* (neg N) N) N) (pow (pow N -1/2) 2) (log (+ 1 (pow (pow N -1/2) 2))) (pow N -1/2) (/ 1/3 N) (- (log (+ N 1)) (log N)))
3.0ms
N
@0
((log (+ 1 (/ 1 N))) (/ 1 N) (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) (- (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ -1 N)) (- (log (+ N 1)) (log N)) (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ (- (/ 1/3 N) 1/2) N) (/ (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (* (* (neg N) N) N)) (* (* (neg N) N) -1) (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (* (* (neg N) N) N) (pow (pow N -1/2) 2) (log (+ 1 (pow (pow N -1/2) 2))) (pow N -1/2) (/ 1/3 N) (- (log (+ N 1)) (log N)))

simplify141.0ms (2.2%)

Memory
-3.4MiB live, 97.6MiB allocated; 12ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03492708
111821567
256751504
082361449
Stop Event
iter limit
node limit
Counts
50 → 50
Calls
Call 1
Inputs
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ 1 N)
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (* -1 (/ (- (* 2/3 (log N)) 1) (log N))) (* 2 (/ (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))) (log N))))))) (/ 1 (log N)))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1/3 (pow N 2))
(/ (+ 1/3 (* -1/2 N)) (pow N 2))
(pow N 2)
-1/3
(- (* 1/2 N) 1/3)
(- (* N (+ 1/2 (* -1 N))) 1/3)
(* -1 (pow N 3))
(sqrt (/ 1 N))
(/ 1/3 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2)))
(- (+ (* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2))))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))))
(- (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (+ (* -1/2 (pow (log (/ 1 N)) 2)) (* 1/2 (pow (log (/ 1 N)) 2))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2)))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))) (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3)))) (* (pow N 2) (pow (log (/ 1 N)) 4)))))))
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(/ -1/2 (pow N 2))
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(* -1 (pow N 2))
(* (pow N 2) (- (* 1/2 (/ 1 N)) 1))
(* (pow N 2) (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
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(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal -2/3 binary64) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))))) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 4/3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -4/3 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (-.f64 (+.f64 (+.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64))) #s(literal 0 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal -2 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))))) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 3 binary64))))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))))) N)) (-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal -2 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))))) N) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 3 binary64)))))) N) #s(literal -1 binary64) #s(literal 0 binary64))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) (neg.f64 N))
(* (pow N 2) (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (*.f64 N N))
(* -1 (/ (pow (sqrt -1) 2) N))
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N))
(/.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) N) #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 N))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) N) #s(literal -1/3 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (neg.f64 N))) N)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)) N) #s(literal 1/4 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal 1/3 binary64))) (neg.f64 N))) (neg.f64 N))) N)
(* (sqrt (/ 1 N)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64))

rewrite166.0ms (2.6%)

Memory
-17.2MiB live, 124.5MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045193
066158
1277142
22071121
08219118
Stop Event
iter limit
node limit
iter limit
Counts
16 → 437
Calls
Call 1
Inputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64))
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))
(*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))
(-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 N) N) N)
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 N #s(literal -1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
Outputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(-.f64 (log.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64))) (log.f64 (expm1.f64 (neg.f64 (log.f64 N)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)))
(log.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64)))))
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1/2 binary64)))) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 (fabs.f64 (pow.f64 N #s(literal -3/4 binary64))) (pow.f64 N #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 N)) #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 N) #s(literal -1/2 binary64)) (pow.f64 (fabs.f64 N) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) N) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 N) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 N) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) N) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 N) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 N) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 N) N) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (neg.f64 N) N) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 N #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 N #s(literal -3/4 binary64)) (pow.f64 N #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (fabs.f64 (pow.f64 N #s(literal -3/4 binary64))))
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 (pow.f64 N #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 N #s(literal -3/4 binary64)))
(*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 (*.f64 (neg.f64 N) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 N)))
(pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -1/4 binary64))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (neg.f64 N))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1 binary64) (fabs.f64 N))
(/.f64 #s(literal 1 binary64) N)
(neg.f64 (/.f64 #s(literal -1 binary64) N))
(sqrt.f64 (pow.f64 N #s(literal -2 binary64)))
(fabs.f64 (pow.f64 N #s(literal -1 binary64)))
(fabs.f64 (/.f64 #s(literal -1 binary64) N))
(+.f64 (cosh.f64 (neg.f64 (log.f64 N))) (sinh.f64 (neg.f64 (log.f64 N))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(literal 0 binary64))
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(*.f64 (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 N #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 N #s(literal -3/4 binary64)) (pow.f64 N #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1/2 binary64))) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (fabs.f64 (pow.f64 N #s(literal -3/4 binary64))))
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 (pow.f64 N #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 N #s(literal -3/4 binary64)))
(*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 (*.f64 (neg.f64 N) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 N)))
(pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -1/4 binary64))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (neg.f64 N))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1 binary64) (fabs.f64 N))
(/.f64 #s(literal 1 binary64) N)
(neg.f64 (/.f64 #s(literal -1 binary64) N))
(sqrt.f64 (pow.f64 N #s(literal -2 binary64)))
(fabs.f64 (pow.f64 N #s(literal -1 binary64)))
(fabs.f64 (/.f64 #s(literal -1 binary64) N))
(+.f64 (cosh.f64 (neg.f64 (log.f64 N))) (sinh.f64 (neg.f64 (log.f64 N))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 N)))
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(-.f64 (log.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64))) (log.f64 (expm1.f64 (neg.f64 (log.f64 N)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)))
(log.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 N #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 N #s(literal -1/4 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 N)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (fabs.f64 N) #s(literal -1/4 binary64)) (pow.f64 (fabs.f64 N) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) N) #s(literal -1/4 binary64)) (pow.f64 (neg.f64 N) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 N) #s(literal -1/4 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) N) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 N) #s(literal -1/4 binary64)) (pow.f64 (neg.f64 N) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 N) N) #s(literal -1/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)) (pow.f64 (*.f64 (neg.f64 N) N) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 N #s(literal -1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 N #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/4 binary64))) (neg.f64 (pow.f64 N #s(literal -1/4 binary64))))
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 (*.f64 (neg.f64 N) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 N #s(literal -1/4 binary64)))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 N))
(pow.f64 (neg.f64 (pow.f64 N #s(literal -1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 N #s(literal -1/2 binary64))
(sqrt.f64 (pow.f64 N #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))))
(fabs.f64 (pow.f64 N #s(literal -1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 N))) (sinh.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 N))))
(exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 N)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 N)))
(/.f64 #s(literal -1/3 binary64) (neg.f64 N))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1/3 binary64) N)
(neg.f64 (/.f64 #s(literal -1/3 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))

eval43.0ms (0.7%)

Memory
23.3MiB live, 68.3MiB allocated; 4ms collecting garbage
Compiler

Compiled 10 182 to 1 544 computations (84.8% saved)

prune19.0ms (0.3%)

Memory
-15.6MiB live, 30.1MiB allocated; 3ms collecting garbage
Pruning

22 alts after pruning (17 fresh and 5 done)

PrunedKeptTotal
New3338341
Fresh2911
Picked235
Done022
Total33722359
Accuracy
100.0%
Counts
359 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(log1p.f64 (pow.f64 (pow.f64 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
98.6%
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 4 binary64)))
99.1%
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
99.7%
(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
95.3%
(log1p.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 N))))
99.1%
(log1p.f64 (pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
3.3%
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64))
96.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
97.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
96.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
94.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
96.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (/.f64 #s(literal 1/2 binary64) N)) #s(literal -1 binary64)) N))
96.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
96.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N))
95.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
85.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (*.f64 (neg.f64 N) N)) (*.f64 (*.f64 (neg.f64 N) N) N)))
86.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
96.1%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
94.0%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ 1/3 N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N)))
96.1%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)))
97.3%
#s(approx (log (+ 1 (pow N -1))) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) N))
Compiler

Compiled 812 to 595 computations (26.7% saved)

simplify191.0ms (3%)

Memory
-15.5MiB live, 86.1MiB allocated; 20ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) N))
cost-diff0
#s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N)))
cost-diff0
(pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))
cost-diff0
(log1p.f64 (pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
cost-diff0
(/.f64 (/.f64 #s(literal 1/3 binary64) N) N)
cost-diff0
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
cost-diff1
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)
cost-diff2
(-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))
cost-diff0
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N)))
cost-diff0
(/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N)
cost-diff0
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
cost-diff1
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))
cost-diff0
(/.f64 #s(literal -1/2 binary64) N)
cost-diff0
(-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))
cost-diff0
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)
cost-diff0
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
cost-diff0
(*.f64 N N)
cost-diff0
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
cost-diff0
(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041250
064245
192245
2160245
3380240
4808240
51784240
62798240
73024240
83178238
93341238
103490238
115444238
125725238
135762238
145813238
155909238
165943238
176336238
186553238
196574238
206574238
08365232
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(*.f64 N N)
N
#s(literal -1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) N)
#s(literal -1/2 binary64)
N
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
(/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N)
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N)))
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))
(-.f64 N #s(literal 1/2 binary64))
N
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)
(-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) N) N)
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
N
(+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(log1p.f64 (pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
(pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))
#s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
#s(literal 2 binary64)
Outputs
(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(*.f64 N N)
N
#s(literal -1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) N) N) N))
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)
(/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) N) N) N)
(-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal -1/2 binary64) N) N)
(/.f64 #s(literal -1/2 binary64) N)
#s(literal -1/2 binary64)
N
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) N))
(/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N)
(/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) N)
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N)))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))
(-.f64 N #s(literal 1/2 binary64))
N
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
(/.f64 (/.f64 #s(literal 1/3 binary64) N) N)
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
N
(+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(log1p.f64 (pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
(pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))
#s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
#s(literal 2 binary64)

localize228.0ms (3.6%)

Memory
-3.5MiB live, 188.4MiB allocated; 25ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N)))
accuracy0.12109375
(log1p.f64 (pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
accuracy0.171875
(sqrt.f64 (/.f64 #s(literal 1 binary64) N))
accuracy0.560878759768442
(pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))
accuracy0.08203125
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)
accuracy0.24609375
(/.f64 (/.f64 #s(literal 1/3 binary64) N) N)
accuracy0.39453125
(/.f64 #s(literal 1/3 binary64) N)
accuracy2.406296245473586
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
accuracy0.0
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N)))
accuracy0.08203125
(/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N)
accuracy0.19044877930532605
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))
accuracy2.406296245473586
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
accuracy0.0
(/.f64 #s(literal -1/2 binary64) N)
accuracy0.0
(-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))
accuracy0.0546875
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)
accuracy3.806590398003805
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
accuracy0.0
(*.f64 N N)
accuracy0.1171875
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
accuracy0.12109375
(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
Samples
168.0ms231×1valid
7.0ms25×0valid
Compiler

Compiled 176 to 37 computations (79% saved)

Precisions
Click to see histograms. Total time spent on operations: 148.0ms
adjust: 32.0ms (21.6% of total)
ival-pow2: 32.0ms (21.6% of total)
ival-pow: 18.0ms (12.1% of total)
ival-div: 17.0ms (11.5% of total)
ival-log1p: 14.0ms (9.4% of total)
ival-mult: 10.0ms (6.7% of total)
ival-sub: 9.0ms (6.1% of total)
ival-log: 6.0ms (4% of total)
const: 4.0ms (2.7% of total)
ival-add: 4.0ms (2.7% of total)
ival-sqrt: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Counts
20 → 40
Calls
Call 1
Inputs
(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) N)
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
(/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N)
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N)))
(-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
(/.f64 (/.f64 #s(literal 1/3 binary64) N) N)
(log1p.f64 (pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
(pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))
#s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1/3 binary64) N)
Outputs
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ 1 N)
(pow N 2)
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/2 (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ -1/2 N)
(/ (- N 1/2) N)
(/ 1/3 (pow N 2))
(/ (+ 1/3 (* -1/2 N)) (pow N 2))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 2))
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(sqrt (/ 1 N))
(/ 1/3 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(/ -1 N)
(* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))
(* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(* -1 (/ (pow (sqrt -1) 2) N))
(* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N))
(* (sqrt (/ 1 N)) (pow (sqrt -1) 2))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
N
@-inf
((log (+ 1 (pow (* N N) -1/2))) (pow (* N N) -1/2) (* N N) (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (- (/ -1/2 N) -1) (/ -1/2 N) (/ (+ (* (- N 1/2) N) 1/3) (* N N)) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (- (/ (/ 1/3 N) N) (+ (/ 1/2 N) -1)) (/ (- (/ (/ 1/3 N) N) (+ (/ 1/2 N) -1)) N) (- (log (+ N 1)) (log N)) (/ (/ 1/3 N) N) (log (+ 1 (pow (pow N -1/2) 2))) (pow (pow N -1/2) 2) (pow N -1/2) (sqrt (/ 1 N)) (/ 1/3 N))
3.0ms
N
@0
((log (+ 1 (pow (* N N) -1/2))) (pow (* N N) -1/2) (* N N) (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (- (/ -1/2 N) -1) (/ -1/2 N) (/ (+ (* (- N 1/2) N) 1/3) (* N N)) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (- (/ (/ 1/3 N) N) (+ (/ 1/2 N) -1)) (/ (- (/ (/ 1/3 N) N) (+ (/ 1/2 N) -1)) N) (- (log (+ N 1)) (log N)) (/ (/ 1/3 N) N) (log (+ 1 (pow (pow N -1/2) 2))) (pow (pow N -1/2) 2) (pow N -1/2) (sqrt (/ 1 N)) (/ 1/3 N))
2.0ms
N
@inf
((log (+ 1 (pow (* N N) -1/2))) (pow (* N N) -1/2) (* N N) (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (- (/ -1/2 N) -1) (/ -1/2 N) (/ (+ (* (- N 1/2) N) 1/3) (* N N)) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (- (/ (/ 1/3 N) N) (+ (/ 1/2 N) -1)) (/ (- (/ (/ 1/3 N) N) (+ (/ 1/2 N) -1)) N) (- (log (+ N 1)) (log N)) (/ (/ 1/3 N) N) (log (+ 1 (pow (pow N -1/2) 2))) (pow (pow N -1/2) 2) (pow N -1/2) (sqrt (/ 1 N)) (/ 1/3 N))

simplify122.0ms (1.9%)

Memory
34.8MiB live, 167.1MiB allocated; 17ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134383
1384358
21106340
34156335
08535323
Stop Event
iter limit
node limit
Counts
40 → 40
Calls
Call 1
Inputs
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ 1 N)
(pow N 2)
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/2 (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ -1/2 N)
(/ (- N 1/2) N)
(/ 1/3 (pow N 2))
(/ (+ 1/3 (* -1/2 N)) (pow N 2))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 2))
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(sqrt (/ 1 N))
(/ 1/3 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(/ -1 N)
(* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))
(* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(* -1 (/ (pow (sqrt -1) 2) N))
(* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N))
(* (sqrt (/ 1 N)) (pow (sqrt -1) 2))
Outputs
(* -1 (log N))
(neg.f64 (log.f64 N))
(+ N (* -1 (log N)))
(-.f64 N (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N)))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N (-.f64 N (log.f64 N)))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(pow N 2)
(*.f64 N N)
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N)))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N (-.f64 N (log.f64 N)))
(/ -1/2 (pow N 2))
(/.f64 (/.f64 #s(literal -1/2 binary64) N) N)
(/ (- N 1/2) (pow N 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ (- N 1/2) N)
(/.f64 (-.f64 N #s(literal 1/2 binary64)) N)
(/ 1/3 (pow N 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
(/ (+ 1/3 (* -1/2 N)) (pow N 2))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(/ (+ 1/3 (* N (- N 1/2))) (pow N 2))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
(/ 1/3 (pow N 3))
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))
(sqrt (/ 1 N))
(sqrt.f64 (/.f64 #s(literal 1 binary64) N))
(/ 1/3 N)
(/.f64 #s(literal 1/3 binary64) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)
1
#s(literal 1 binary64)
(- 1 (* 1/2 (/ 1 N)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) N)
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
(/ -1 N)
(/.f64 #s(literal -1 binary64) N)
(* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
(* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
(* -1 (/ (pow (sqrt -1) 2) N))
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N))
(/.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal -1/2 binary64) N) (*.f64 N N))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N))
(/.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) N) #s(literal -1/3 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal -1/2 binary64))) N) (*.f64 N N))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N))
(/.f64 (+.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)) N) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal -1/3 binary64))) N)) N) (*.f64 N N))
(* (sqrt (/ 1 N)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)))

rewrite172.0ms (2.7%)

Memory
-16.5MiB live, 274.5MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041212
064203
1265195
21915195
08773192
Stop Event
iter limit
node limit
iter limit
Counts
20 → 363
Calls
Call 1
Inputs
(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) N)
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
(/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N)
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N)))
(-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
(/.f64 (/.f64 #s(literal 1/3 binary64) N) N)
(log1p.f64 (pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
(pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))
#s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1/3 binary64) N)
Outputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(-.f64 (log.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64))) (log.f64 (expm1.f64 (neg.f64 (log.f64 N)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) (pow.f64 N #s(literal -1 binary64))))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -2 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 N #s(literal -3/4 binary64))) (pow.f64 N #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 N #s(literal -3/4 binary64)) (pow.f64 N #s(literal -1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (fabs.f64 (pow.f64 N #s(literal -3/4 binary64))))
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 N #s(literal -3/4 binary64)))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))
(*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 N)))
(pow.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64))
(pow.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 N) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 N) #s(literal -2 binary64))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal -1 binary64) N)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) N)
(neg.f64 (pow.f64 N #s(literal -1 binary64)))
(sqrt.f64 (pow.f64 N #s(literal -2 binary64)))
(fabs.f64 (pow.f64 N #s(literal -1 binary64)))
(+.f64 (cosh.f64 (neg.f64 (log.f64 N))) (sinh.f64 (neg.f64 (log.f64 N))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/4 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) (*.f64 (log.f64 N) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/4 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/4 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/4 binary64) (*.f64 (log.f64 N) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 N) #s(literal -1/2 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 N) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 N #s(literal 4 binary64))) #s(literal -1/4 binary64)))
(exp.f64 (neg.f64 (log.f64 N)))
(*.f64 (neg.f64 (neg.f64 (neg.f64 N))) (neg.f64 (neg.f64 (neg.f64 N))))
(*.f64 (exp.f64 (log.f64 (neg.f64 N))) (exp.f64 (log.f64 (neg.f64 N))))
(*.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)))
(*.f64 (neg.f64 N) (neg.f64 N))
(*.f64 #s(literal 1 binary64) (*.f64 N N))
(*.f64 (*.f64 N N) #s(literal 1 binary64))
(*.f64 N N)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 N))
(pow.f64 (neg.f64 (neg.f64 N)) #s(literal 2 binary64))
(pow.f64 (neg.f64 N) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal 1 binary64))
(pow.f64 N #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 N) N))
(sqrt.f64 (pow.f64 N #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 N) N))
(fabs.f64 (*.f64 N N))
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 N))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (neg.f64 N)) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) N) N) (*.f64 (neg.f64 N) #s(literal -1 binary64))) (*.f64 (neg.f64 N) N))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) N) (neg.f64 N)) (*.f64 (neg.f64 N) #s(literal 1 binary64))) (*.f64 N N))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 N)) (*.f64 (*.f64 (neg.f64 N) N) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) (neg.f64 N)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) N) (neg.f64 N)) N) (*.f64 (neg.f64 N) N))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) N) (*.f64 (*.f64 N N) #s(literal -1 binary64))) (pow.f64 N #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 N)) (*.f64 N N)) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) #s(literal 2 binary64)) (pow.f64 N #s(literal -2 binary64))) (+.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) N)) N))
(/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 N #s(literal 6 binary64))) (pow.f64 N #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) #s(literal 2 binary64)) (+.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (pow.f64 N #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)))) (neg.f64 (neg.f64 N)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) N) N) (*.f64 N #s(literal -1 binary64))) (*.f64 N N))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))) (neg.f64 N))
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))) N))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) (neg.f64 N)))
(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (pow.f64 N #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) N))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) N)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) N))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) N))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N))) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 #s(literal 1/2 binary64) (neg.f64 N))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal -1/2 binary64) N)
(neg.f64 (/.f64 #s(literal 1/2 binary64) N))
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (neg.f64 N)) (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 #s(literal -1/3 binary64) N))) (*.f64 N N))
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (neg.f64 N)) (*.f64 (neg.f64 N) N) (*.f64 (neg.f64 N) #s(literal -1/3 binary64))) (*.f64 (neg.f64 N) (*.f64 (neg.f64 N) N)))
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (neg.f64 N)) (neg.f64 (neg.f64 N)) (*.f64 (neg.f64 N) (/.f64 #s(literal 1/3 binary64) N))) (*.f64 (neg.f64 N) N))
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (neg.f64 N)) N (*.f64 (neg.f64 N) (/.f64 #s(literal 1/3 binary64) N))) (*.f64 (neg.f64 N) N))
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (neg.f64 N)) (*.f64 N N) (*.f64 (neg.f64 N) #s(literal 1/3 binary64))) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) (neg.f64 N) (*.f64 N (/.f64 #s(literal -1/3 binary64) N))) (*.f64 (neg.f64 N) N))
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) (*.f64 (neg.f64 N) N) (*.f64 N #s(literal -1/3 binary64))) (*.f64 N (*.f64 (neg.f64 N) N)))
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) (neg.f64 (neg.f64 N)) (*.f64 N (/.f64 #s(literal 1/3 binary64) N))) (*.f64 N (neg.f64 (neg.f64 N))))
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) N (*.f64 N (/.f64 #s(literal 1/3 binary64) N))) (*.f64 N N))
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) (*.f64 N N) (*.f64 N #s(literal 1/3 binary64))) (pow.f64 N #s(literal 3 binary64)))
(/.f64 (fma.f64 (neg.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (neg.f64 N) (*.f64 (*.f64 (neg.f64 N) N) (/.f64 #s(literal -1/3 binary64) N))) (*.f64 (*.f64 (neg.f64 N) N) (neg.f64 N)))
(/.f64 (fma.f64 (neg.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (*.f64 (neg.f64 N) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1/3 binary64))) (pow.f64 N #s(literal 4 binary64)))
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(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 N))
(pow.f64 (neg.f64 (pow.f64 N #s(literal -1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -1/8 binary64))
(pow.f64 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 N) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 N) #s(literal -1 binary64))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 N N) #s(literal -1/4 binary64))
(pow.f64 N #s(literal -1/2 binary64))
(/.f64 (fabs.f64 (sqrt.f64 #s(literal -1 binary64))) (fabs.f64 (sqrt.f64 (neg.f64 N))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 N)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 N)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (sqrt.f64 N))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (sqrt.f64 N)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 N))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 N))
(sqrt.f64 (pow.f64 N #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))))
(fabs.f64 (pow.f64 N #s(literal -1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/4 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 N) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log.f64 N) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 N) #s(literal -1/4 binary64) (*.f64 (log.f64 N) #s(literal -1/4 binary64))))
(exp.f64 (/.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 N) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 N)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 N #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 N)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 N) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1/3 binary64) (neg.f64 N))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1/3 binary64) N)
(neg.f64 (/.f64 #s(literal -1/3 binary64) N))
(sqrt.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 2 binary64)))
(fabs.f64 (/.f64 #s(literal -1/3 binary64) N))
(fabs.f64 (/.f64 #s(literal 1/3 binary64) N))

eval100.0ms (1.6%)

Memory
-15.7MiB live, 76.0MiB allocated; 6ms collecting garbage
Compiler

Compiled 10 809 to 1 889 computations (82.5% saved)

prune62.0ms (1%)

Memory
-15.8MiB live, 43.5MiB allocated; 40ms collecting garbage
Pruning

22 alts after pruning (13 fresh and 9 done)

PrunedKeptTotal
New4155420
Fresh4812
Picked145
Done055
Total42022442
Accuracy
100.0%
Counts
442 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(log1p.f64 (pow.f64 (pow.f64 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
98.6%
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 4 binary64)))
99.1%
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
99.7%
(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
99.2%
(log1p.f64 (pow.f64 (sqrt.f64 N) #s(literal -2 binary64)))
99.1%
(log1p.f64 (pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
3.3%
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64))
97.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
96.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
96.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
94.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
93.8%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
96.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
96.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (neg.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N (*.f64 (*.f64 (neg.f64 N) N) (/.f64 #s(literal 1/3 binary64) N))) (*.f64 (*.f64 (neg.f64 N) N) N))) N))
96.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) N)) N))
96.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N))
95.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
85.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (*.f64 (neg.f64 N) N)) (*.f64 (*.f64 (neg.f64 N) N) N)))
86.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
94.0%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ 1/3 N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N)))
97.3%
#s(approx (log (+ 1 (pow N -1))) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) N))
Compiler

Compiled 1 132 to 535 computations (52.7% saved)

regimes17.0ms (0.3%)

Memory
18.1MiB live, 18.1MiB allocated; 0ms collecting garbage
Counts
35 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ 1/3 N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (*.f64 (neg.f64 N) N)) (*.f64 (*.f64 (neg.f64 N) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (/.f64 #s(literal 1/2 binary64) N)) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (neg.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N (*.f64 (*.f64 (neg.f64 N) N) (/.f64 #s(literal 1/3 binary64) N))) (*.f64 (*.f64 (neg.f64 N) N) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
#s(approx (log (+ 1 (pow N -1))) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) N))
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(log1p.f64 (pow.f64 (sqrt.f64 N) #s(literal -2 binary64)))
(log1p.f64 (pow.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(log1p.f64 (pow.f64 (pow.f64 (pow.f64 N #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log1p.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 N))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)))
(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
Calls

2 calls:

9.0ms
N
6.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
99.8%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
99.8%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes10.0ms (0.2%)

Memory
11.8MiB live, 11.8MiB allocated; 0ms collecting garbage
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ 1/3 N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (*.f64 (neg.f64 N) N)) (*.f64 (*.f64 (neg.f64 N) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (/.f64 #s(literal 1/2 binary64) N)) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (neg.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N (*.f64 (*.f64 (neg.f64 N) N) (/.f64 #s(literal 1/3 binary64) N))) (*.f64 (*.f64 (neg.f64 N) N) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
Calls

2 calls:

5.0ms
N
4.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
97.3%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
97.3%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes41.0ms (0.7%)

Memory
-36.2MiB live, 10.9MiB allocated; 1ms collecting garbage
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ 1/3 N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (*.f64 (neg.f64 N) N)) (*.f64 (*.f64 (neg.f64 N) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (/.f64 #s(literal 1/2 binary64) N)) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N))
Calls

2 calls:

36.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
4.0ms
N
Results
AccuracySegmentsBranch
96.2%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
96.2%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ 1/3 N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (*.f64 (neg.f64 N) N)) (*.f64 (*.f64 (neg.f64 N) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
Calls

2 calls:

3.0ms
N
3.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
96.1%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
96.1%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ 1/3 N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (*.f64 (neg.f64 N) N)) (*.f64 (*.f64 (neg.f64 N) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
Calls

2 calls:

3.0ms
N
2.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
96.1%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
96.1%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ 1/3 N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (*.f64 (neg.f64 N) N)) (*.f64 (*.f64 (neg.f64 N) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
Calls

2 calls:

2.0ms
N
2.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
95.9%1N
95.9%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ 1/3 N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (*.f64 (neg.f64 N) N)) (*.f64 (*.f64 (neg.f64 N) N) N)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
Calls

2 calls:

2.0ms
N
2.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
94.0%1N
94.0%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
Calls

2 calls:

2.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
93.8%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
93.8%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Calls

2 calls:

1.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
86.1%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
86.1%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64))
Outputs
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64))
Calls

2 calls:

1.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
3.3%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
3.3%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify76.0ms (1.2%)

Memory
-1.6MiB live, 45.5MiB allocated; 2ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
082226
1140215
2323204
31128202
45253202
Stop Event
node limit
Calls
Call 1
Inputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64))
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (neg (- (/ 1/3 N) 1/2)) N) (* (* (neg N) N) -1)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 N #s(literal -1 binary64)))
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (pow (+ (log N) (log (+ 1 N))) 2)) #s(literal 0 binary64))

derivations979.0ms (15.5%)

Memory
5.6MiB live, 242.1MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134383
1384358
21106340
34156335
08535323
03492708
111821567
256751504
082361449
05284097
119082505
087172395
088259
1254233
2628233
31724230
45376227
08294221
0616
01015
14115
225415
3234215
0841911
033151
056120
1227112
21529112
08367112
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 226 to 86 computations (61.9% saved)

preprocess153.0ms (2.4%)

Memory
-36.0MiB live, 104.6MiB allocated; 13ms collecting garbage
Compiler

Compiled 520 to 222 computations (57.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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