
Time bar (total: 2.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 3.2% | 96.8% | 0% | 0% | 0% | 0 |
| 100% | 3.2% | 0% | 96.8% | 0% | 0% | 0% | 1 |
Compiled 15 to 10 computations (33.3% saved)
| 972.0ms | 7 487× | 1 | valid |
| 39.0ms | 769× | 0 | valid |
ival-log1p: 343.0ms (43.7% of total)ival-log: 244.0ms (31.1% of total)adjust: 152.0ms (19.3% of total)ival-sub!: 47.0ms (6% of total)Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 23 |
| 1 | 33 | 20 |
| 2 | 91 | 18 |
| 3 | 324 | 18 |
| 4 | 2428 | 18 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 23.1% | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 12 to 12 computations (0% saved)
| 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 |
|---|
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)))) |
#s(approx (log (+ N 1)) #s(hole binary64 N)) |
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* -1/2 N))))) |
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))) |
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2)))))) |
#s(approx (+ N 1) #s(hole binary64 1)) |
#s(approx (+ N 1) #s(hole binary64 (+ 1 N))) |
#s(approx (log N) #s(hole binary64 (log N))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N))) |
#s(approx (log (+ N 1)) #s(hole binary64 (* -1 (log (/ 1 N))))) |
#s(approx (log (+ N 1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N)))) |
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))))) |
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))))) |
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N))))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ -1 N))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N)))) |
#s(approx (log (+ N 1)) #s(hole binary64 (- (* -1 (log (/ 1 N))) (/ 1 N)))) |
#s(approx (log (+ N 1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))) |
#s(approx (log (+ N 1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | N | @ | 0 | ((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N)) |
| 10.0ms | N | @ | inf | ((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N)) |
| 7.0ms | N | @ | -inf | ((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 475 |
| 0 | 117 | 416 |
| 1 | 723 | 391 |
| 0 | 7878 | 326 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| 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) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)))) |
#s(approx (log (+ N 1)) #s(hole binary64 N)) |
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* -1/2 N))))) |
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))) |
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2)))))) |
#s(approx (+ N 1) #s(hole binary64 1)) |
#s(approx (+ N 1) #s(hole binary64 (+ 1 N))) |
#s(approx (log N) #s(hole binary64 (log N))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N))) |
#s(approx (log (+ N 1)) #s(hole binary64 (* -1 (log (/ 1 N))))) |
#s(approx (log (+ N 1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N)))) |
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))))) |
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))))) |
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N))))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ -1 N))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N)))) |
#s(approx (log (+ N 1)) #s(hole binary64 (- (* -1 (log (/ 1 N))) (/ 1 N)))) |
#s(approx (log (+ N 1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))) |
#s(approx (log (+ N 1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))))) |
| Outputs |
|---|
(*.f64 (*.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))) |
(*.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))))) |
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (-.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N)))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)))) (neg.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))))) |
(/.f64 (*.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))) |
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))) |
(fma.f64 (log.f64 N) #s(literal -1 binary64) (log.f64 (-.f64 N #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) |
(-.f64 (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 0 binary64)) (log.f64 N)) |
(-.f64 (/.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))))) |
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) |
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64)))) |
(+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N))) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
(log1p.f64 (neg.f64 (neg.f64 N))) |
(log1p.f64 N) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (log.f64 (-.f64 #s(literal 1 binary64) N))) |
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) |
(-.f64 (log.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (log.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (log.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) |
(log.f64 (-.f64 N #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))) |
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) |
(*.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) |
(*.f64 N (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
(/.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))) |
(/.f64 (*.f64 N (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N))) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64)) N) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (neg.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N)) |
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 N N (*.f64 #s(literal 1 binary64) (neg.f64 N))))) |
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) |
(neg.f64 (-.f64 (neg.f64 N) #s(literal 1 binary64))) |
(neg.f64 (-.f64 #s(literal -1 binary64) N)) |
(neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 N))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))) |
(-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (neg.f64 N)) |
(-.f64 N (*.f64 (/.f64 #s(literal -1 binary64) N) N)) |
(-.f64 N (*.f64 (neg.f64 N) (/.f64 #s(literal 1 binary64) N))) |
(-.f64 N #s(literal -1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N))) |
(+.f64 #s(literal 1 binary64) N) |
(+.f64 N #s(literal 1 binary64)) |
N |
#s(literal 1 binary64) |
(*.f64 (log.f64 N) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (log.f64 N)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 N))) |
(*.f64 #s(literal 1 binary64) (log.f64 N)) |
(neg.f64 (*.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 N)))) |
(neg.f64 (neg.f64 (log.f64 N))) |
(-.f64 (log.f64 N) #s(literal 0 binary64)) |
(log.f64 N) |
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (log.f64 N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N))) |
#s(approx (log (+ N 1)) N) |
#s(approx (log (+ N 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N)) |
#s(approx (log (+ N 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N)) |
#s(approx (log (+ N 1)) (*.f64 (fma.f64 (fma.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)) |
#s(approx (+ N 1) #s(literal 1 binary64)) |
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64))) |
#s(approx (log N) (log.f64 N)) |
#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 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.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 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal -1/2 binary64) N))) N)) |
#s(approx (log (+ N 1)) (log.f64 N)) |
#s(approx (log (+ N 1)) (-.f64 (log.f64 N) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (log (+ N 1)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) (log.f64 N))) |
#s(approx (log (+ 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)) N) (log.f64 N))) |
#s(approx (+ N 1) (-.f64 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)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N))) N)) |
#s(approx (- (log (+ N 1)) (log 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)) |
#s(approx (log (+ N 1)) (-.f64 (log.f64 N) (/.f64 #s(literal 1 binary64) N))) |
#s(approx (log (+ N 1)) (-.f64 (log.f64 N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N))) |
#s(approx (log (+ N 1)) (-.f64 (log.f64 N) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))) |
Compiled 705 to 329 computations (53.3% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 82 | 8 | 90 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 83 | 8 | 91 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 23.0% | (-.f64 (/.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))) |
| 26.6% | (neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))) | |
| ▶ | 99.8% | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| ▶ | 25.9% | (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
| ▶ | 95.0% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)) |
| 96.0% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal -1/2 binary64) N))) N)) | |
| 92.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) | |
| ▶ | 84.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
Compiled 184 to 168 computations (8.7% saved)
| Inputs |
|---|
(log1p.f64 (/.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 #s(literal 1 binary64) N)) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 N #s(literal -1 binary64)) N) |
(-.f64 N #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N) |
(-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) |
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 N N)) |
#s(literal 1/3 binary64) |
(*.f64 N N) |
(/.f64 #s(literal 1/2 binary64) N) |
#s(literal 1/2 binary64) |
(-.f64 (/.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))) |
(/.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) |
(*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) |
(log.f64 (-.f64 N #s(literal -1 binary64))) |
(log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) |
(*.f64 (-.f64 N #s(literal -1 binary64)) N) |
(/.f64 (*.f64 (log.f64 N) (log.f64 N)) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) |
(*.f64 (log.f64 N) (log.f64 N)) |
(log.f64 N) |
| Outputs |
|---|
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (log N)))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ N (* -1 (log N))))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))) |
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N))) |
#s(approx N #s(hole binary64 N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)))) |
#s(approx (/ (- N -1) N) #s(hole binary64 (/ (+ 1 N) N))) |
#s(approx (- N -1) #s(hole binary64 1)) |
#s(approx (- N -1) #s(hole binary64 (+ 1 N))) |
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ 1/3 (pow N 3)))) |
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3)))) |
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3)))) |
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ 1/3 (pow N 2)))) |
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2)))) |
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2)))) |
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 (/ (+ 1/3 (pow N 2)) (pow N 2)))) |
#s(approx (* N N) #s(hole binary64 (pow N 2))) |
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N))) |
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) #s(hole binary64 (/ (pow N 2) (log N)))) |
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) #s(hole binary64 (* (pow N 2) (+ (* -1 (* N (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))))) |
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) #s(hole binary64 (* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 11/12 (/ 1 (log N)))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))))) |
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) #s(hole binary64 (* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (+ (* 11/12 (/ 1 (log N))) (* N (- (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))) (+ (* 5/6 (/ 1 (log N))) (* 11/12 (/ 1 (pow (log N) 2))))))))))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))))) |
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 N))))) |
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1)))))) |
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1)))))) |
#s(approx (log (- N -1)) #s(hole binary64 (* N (+ 1 (* -1/2 N))))) |
#s(approx (log (- N -1)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))) |
#s(approx (log (- N -1)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2)))))) |
#s(approx (log (* (- N -1) N)) #s(hole binary64 (log N))) |
#s(approx (log (* (- N -1) N)) #s(hole binary64 (+ N (log N)))) |
#s(approx (log (* (- N -1) N)) #s(hole binary64 (+ (log N) (* N (+ 1 (* -1/2 N)))))) |
#s(approx (log (* (- N -1) N)) #s(hole binary64 (+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))) |
#s(approx (* (- N -1) N) #s(hole binary64 (* N (+ 1 N)))) |
#s(approx (/ (* (log N) (log N)) (log (* (- N -1) N))) #s(hole binary64 (+ (log N) (* -1 N)))) |
#s(approx (/ (* (log N) (log N)) (log (* (- N -1) N))) #s(hole binary64 (+ (log N) (* N (- (* N (+ 1/2 (/ 1 (log N)))) 1))))) |
#s(approx (/ (* (log N) (log N)) (log (* (- N -1) N))) #s(hole binary64 (+ (log N) (* N (- (* N (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) 1))))) |
#s(approx (* (log N) (log N)) #s(hole binary64 (pow (log N) 2))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N))) |
#s(approx (/ (- N -1) N) #s(hole binary64 (+ 1 (/ 1 N)))) |
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N))))) |
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N))))) |
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))) |
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 (+ 1 (* 1/3 (/ 1 (pow N 2)))))) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N))) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N))) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (/ (- (+ 1 (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/16 (/ 1 (log (/ 1 N)))) (+ 1/12 (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N)))))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ 1 N)))) (+ 1/12 (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N))))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N))) |
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) #s(hole binary64 (* -1/2 (log (/ 1 N))))) |
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) #s(hole binary64 (+ (* -1/2 (log (/ 1 N))) (* 3/4 (/ 1 N))))) |
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) #s(hole binary64 (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/8 (pow N 2)) (+ (* 3/4 (/ 1 N)) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))))))) |
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) #s(hole binary64 (- (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/8 (pow N 2)) (+ (* 3/4 (/ 1 N)) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 3/16 (* (pow N 3) (log (/ 1 N)))) (* 1/12 (/ 1 (pow N 3)))))))) |
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (pow (log (/ 1 N)) 2))) |
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2)))) |
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2)))))) |
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (- (+ (* -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))))) |
#s(approx (log (- N -1)) #s(hole binary64 (* -1 (log (/ 1 N))))) |
#s(approx (log (- N -1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N)))) |
#s(approx (log (- N -1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))))) |
#s(approx (log (- N -1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))))) |
#s(approx (log (* (- N -1) N)) #s(hole binary64 (* -2 (log (/ 1 N))))) |
#s(approx (log (* (- N -1) N)) #s(hole binary64 (+ (* -2 (log (/ 1 N))) (/ 1 N)))) |
#s(approx (log (* (- N -1) N)) #s(hole binary64 (- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))))) |
#s(approx (log (* (- N -1) N)) #s(hole binary64 (- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))))) |
#s(approx (* (- N -1) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N))))) |
#s(approx (/ (* (log N) (log N)) (log (* (- N -1) N))) #s(hole binary64 (- (* -1/2 (log (/ 1 N))) (* 1/4 (/ 1 N))))) |
#s(approx (/ (* (log N) (log N)) (log (* (- N -1) N))) #s(hole binary64 (- (+ (* -1/2 (log (/ 1 N))) (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) |
#s(approx (/ (* (log N) (log N)) (log (* (- N -1) N))) #s(hole binary64 (- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3))))))))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ -1 N))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N)))) |
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (* -1 (/ (log (/ 1 N)) (* N (log (/ -1 N))))))) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N))))) N)) (/ (log (/ 1 N)) (log (/ -1 N)))) N)))) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ -1 N)))) (* 1/16 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3))))) (+ (* 1/4 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N))))) N)) (/ (log (/ 1 N)) (log (/ -1 N)))) N)))) |
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#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (+ (* 2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2)))) |
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#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (log (/ 1 N))) (* -1 (/ (+ 1 (+ (log (/ 1 N)) (* -1 (/ (- (* -2/3 (log (/ 1 N))) 1) N)))) N))) N)) (pow (log (/ 1 N)) 2)))) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | N | @ | -inf | ((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (- (/ 1/3 (* N N)) -1) (/ 1/3 (* N N)) 1/3 (* N N) (/ 1/2 N) 1/2 (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (* (log (- N -1)) (log (- N -1))) (log (- N -1)) (log (* (- N -1) N)) (* (- N -1) N) (/ (* (log N) (log N)) (log (* (- N -1) N))) (* (log N) (log N)) (log N)) |
| 12.0ms | N | @ | inf | ((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (- (/ 1/3 (* N N)) -1) (/ 1/3 (* N N)) 1/3 (* N N) (/ 1/2 N) 1/2 (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (* (log (- N -1)) (log (- N -1))) (log (- N -1)) (log (* (- N -1) N)) (* (- N -1) N) (/ (* (log N) (log N)) (log (* (- N -1) N))) (* (log N) (log N)) (log N)) |
| 10.0ms | N | @ | 0 | ((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (- (/ 1/3 (* N N)) -1) (/ 1/3 (* N N)) 1/3 (* N N) (/ 1/2 N) 1/2 (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (* (log (- N -1)) (log (- N -1))) (log (- N -1)) (log (* (- N -1) N)) (* (- N -1) N) (/ (* (log N) (log N)) (log (* (- N -1) N))) (* (log N) (log N)) (log N)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 634 | 4828 |
| 0 | 670 | 4054 |
| 1 | 4925 | 4000 |
| 0 | 8487 | 3719 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(log1p.f64 (/.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 #s(literal 1 binary64) N)) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
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(-.f64 N #s(literal -1 binary64)) |
#s(literal -1 binary64) |
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(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N) |
(-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) |
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) |
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#s(literal 1/3 binary64) |
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#s(literal 1/2 binary64) |
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(*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) |
(log.f64 (-.f64 N #s(literal -1 binary64))) |
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(*.f64 (-.f64 N #s(literal -1 binary64)) N) |
(/.f64 (*.f64 (log.f64 N) (log.f64 N)) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) |
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#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 (+ 1 (* 1/3 (/ 1 (pow N 2)))))) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N))) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N))) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (/ (- (+ 1 (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/16 (/ 1 (log (/ 1 N)))) (+ 1/12 (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N)))))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ 1 N)))) (+ 1/12 (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N))))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N))) |
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) #s(hole binary64 (* -1/2 (log (/ 1 N))))) |
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) #s(hole binary64 (+ (* -1/2 (log (/ 1 N))) (* 3/4 (/ 1 N))))) |
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) #s(hole binary64 (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/8 (pow N 2)) (+ (* 3/4 (/ 1 N)) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))))))) |
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) #s(hole binary64 (- (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/8 (pow N 2)) (+ (* 3/4 (/ 1 N)) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 3/16 (* (pow N 3) (log (/ 1 N)))) (* 1/12 (/ 1 (pow N 3)))))))) |
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (pow (log (/ 1 N)) 2))) |
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2)))) |
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2)))))) |
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (- (+ (* -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))))) |
#s(approx (log (- N -1)) #s(hole binary64 (* -1 (log (/ 1 N))))) |
#s(approx (log (- N -1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N)))) |
#s(approx (log (- N -1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))))) |
#s(approx (log (- N -1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))))) |
#s(approx (log (* (- N -1) N)) #s(hole binary64 (* -2 (log (/ 1 N))))) |
#s(approx (log (* (- N -1) N)) #s(hole binary64 (+ (* -2 (log (/ 1 N))) (/ 1 N)))) |
#s(approx (log (* (- N -1) N)) #s(hole binary64 (- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))))) |
#s(approx (log (* (- N -1) N)) #s(hole binary64 (- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))))) |
#s(approx (* (- N -1) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N))))) |
#s(approx (/ (* (log N) (log N)) (log (* (- N -1) N))) #s(hole binary64 (- (* -1/2 (log (/ 1 N))) (* 1/4 (/ 1 N))))) |
#s(approx (/ (* (log N) (log N)) (log (* (- N -1) N))) #s(hole binary64 (- (+ (* -1/2 (log (/ 1 N))) (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) |
#s(approx (/ (* (log N) (log N)) (log (* (- N -1) N))) #s(hole binary64 (- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3))))))))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ -1 N))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N)))) |
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (* -1 (/ (log (/ 1 N)) (* N (log (/ -1 N))))))) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N))))) N)) (/ (log (/ 1 N)) (log (/ -1 N)))) N)))) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ -1 N)))) (* 1/16 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3))))) (+ (* 1/4 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N))))) N)) (/ (log (/ 1 N)) (log (/ -1 N)))) N)))) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/16 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3))))) (log (/ -1 N)))) (+ (* -1/4 (/ (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/24 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))))) (+ (* 1/6 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (+ (* 1/4 (/ (- (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N))))))) (log (/ -1 N))))))) N)) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ -1 N)))) (* 1/16 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))))) (+ (* 1/4 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N))))) N)) (/ (log (/ 1 N)) (log (/ -1 N)))) N)))) |
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) #s(hole binary64 (* -1/2 (/ (pow (log (/ 1 N)) 2) (log (/ -1 N)))))) |
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) #s(hole binary64 (+ (* -1 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (log (/ 1 N)) 2) (log (/ -1 N))))))) |
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (/ (log (/ 1 N)) (log (/ -1 N)))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (log (/ 1 N)) 2) (log (/ -1 N))))))) |
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N))))))) N)) (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N))))) (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (/ (log (/ 1 N)) (log (/ -1 N)))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (log (/ 1 N)) 2) (log (/ -1 N))))))) |
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (+ (* 2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2)))) |
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (log (/ 1 N))) (* -1 (/ (+ 1 (log (/ 1 N))) N))) N)) (pow (log (/ 1 N)) 2)))) |
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (log (/ 1 N))) (* -1 (/ (+ 1 (+ (log (/ 1 N)) (* -1 (/ (- (* -2/3 (log (/ 1 N))) 1) N)))) N))) N)) (pow (log (/ 1 N)) 2)))) |
#s(approx (log (- N -1)) #s(hole binary64 (- (* -1 (log (/ 1 N))) (/ 1 N)))) |
#s(approx (log (- N -1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))) |
#s(approx (log (- N -1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))))) |
#s(approx (log (* (- N -1) N)) #s(hole binary64 (* -2 (log (/ -1 N))))) |
#s(approx (log (* (- N -1) N)) #s(hole binary64 (+ (* -2 (log (/ -1 N))) (/ 1 N)))) |
#s(approx (log (* (- N -1) N)) #s(hole binary64 (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))) |
#s(approx (log (* (- N -1) N)) #s(hole binary64 (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))) |
#s(approx (/ (* (log N) (log N)) (log (* (- N -1) N))) #s(hole binary64 (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (log (/ -1 N)))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (* N (pow (log (/ -1 N)) 2))))))) |
#s(approx (/ (* (log N) (log N)) (log (* (- N -1) N))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (* N (pow (log (/ -1 N)) 3))))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (log (/ 1 N)) 2) (log (/ -1 N))))))) |
#s(approx (/ (* (log N) (log N)) (log (* (- N -1) N))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (* N (log (/ -1 N))))) (+ (* -1/12 (/ (pow (log (/ 1 N)) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/16 (/ (pow (log (/ 1 N)) 2) (* N (pow (log (/ -1 N)) 3)))))) (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (log (/ 1 N)) 2) (log (/ -1 N))))))) |
| Outputs |
|---|
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))) |
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))))) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) |
(pow.f64 N #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 N)) |
(/.f64 #s(literal 1 binary64) N) |
(exp.f64 (neg.f64 (log.f64 N))) |
#s(literal 1 binary64) |
N |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) (/.f64 #s(literal 1 binary64) N)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 N) (/.f64 (log.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))) #s(literal 2 binary64))) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (*.f64 (log.f64 N) (/.f64 (log.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))) |
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(-.f64 (log.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) |
(-.f64 (log.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))) |
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)))) |
(-.f64 (log.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (log.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) (*.f64 N #s(literal 1 binary64)))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64))) (log.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) |
(log.f64 (-.f64 N #s(literal -1 binary64))) |
(fma.f64 (neg.f64 (log.f64 N)) #s(literal -1 binary64) (log.f64 (-.f64 N #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) |
(+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) |
(+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) |
(log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) |
(*.f64 (-.f64 N #s(literal -1 binary64)) N) |
(*.f64 N (-.f64 N #s(literal -1 binary64))) |
(fma.f64 N #s(literal 1 binary64) (*.f64 N N)) |
(+.f64 (*.f64 N #s(literal 1 binary64)) (*.f64 N N)) |
(+.f64 N (*.f64 N N)) |
(*.f64 (*.f64 (log.f64 N) (log.f64 N)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))) |
(*.f64 (log.f64 N) (/.f64 (log.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))) |
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(/.f64 (*.f64 (log.f64 N) (log.f64 N)) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) |
(*.f64 (neg.f64 (fabs.f64 (log.f64 N))) (neg.f64 (fabs.f64 (log.f64 N)))) |
(*.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 N)))) (exp.f64 (log.f64 (neg.f64 (log.f64 N))))) |
(*.f64 (exp.f64 (log.f64 (log.f64 N))) (exp.f64 (log.f64 (log.f64 N)))) |
(*.f64 (fabs.f64 (log.f64 N)) (fabs.f64 (log.f64 N))) |
(*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) |
(*.f64 (*.f64 (log.f64 N) (log.f64 N)) #s(literal 1 binary64)) |
(*.f64 (log.f64 N) (log.f64 N)) |
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 N) (log.f64 N))) |
(pow.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 N)))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (log.f64 N))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (log.f64 N)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (log.f64 N) (log.f64 N)) #s(literal 1 binary64)) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(fabs.f64 (*.f64 (log.f64 N) (log.f64 N))) |
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64)))) |
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64))) |
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(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) N) (neg.f64 (log.f64 N)))) |
(log.f64 (pow.f64 (pow.f64 N (log.f64 N)) #s(literal 1 binary64))) |
(log.f64 (pow.f64 N (log.f64 N))) |
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(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 N))) |
(*.f64 #s(literal 1 binary64) (log.f64 N)) |
(pow.f64 (log.f64 N) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 N))) |
(neg.f64 (neg.f64 (log.f64 N))) |
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 1 binary64))) |
(log.f64 N) |
#s(approx (log (+ 1 (/ 1 N))) (neg.f64 (log.f64 N))) |
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#s(approx (/ 1 N) (/.f64 #s(literal 1 binary64) N)) |
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#s(approx (- N -1) #s(literal 1 binary64)) |
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64))) |
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#s(approx (- (/ 1/3 (* N N)) -1) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64))) |
#s(approx (* N N) (*.f64 N N)) |
#s(approx (/ 1/2 N) (/.f64 #s(literal 1/2 binary64) N)) |
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#s(approx (* (log (- N -1)) (log (- N -1))) (*.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N))) |
#s(approx (* (log (- N -1)) (log (- N -1))) (*.f64 (fma.f64 (fma.f64 #s(literal 11/12 binary64) N #s(literal -1 binary64)) N #s(literal 1 binary64)) (*.f64 N N))) |
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#s(approx (log (- N -1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N)) |
#s(approx (log (- N -1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N)) |
#s(approx (log (- N -1)) (*.f64 (fma.f64 (fma.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)) |
#s(approx (log (* (- N -1) N)) (log.f64 N)) |
#s(approx (log (* (- N -1) N)) (+.f64 (log.f64 N) N)) |
#s(approx (log (* (- N -1) N)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (log.f64 N))) |
#s(approx (log (* (- N -1) N)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (log.f64 N))) |
#s(approx (* (- N -1) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) |
#s(approx (/ (* (log N) (log N)) (log (* (- N -1) N))) (-.f64 (log.f64 N) N)) |
#s(approx (/ (* (log N) (log N)) (log (* (- N -1) N))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1/2 binary64)) N #s(literal -1 binary64)) N (log.f64 N))) |
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#s(approx (* (log N) (log N)) (*.f64 (log.f64 N) (log.f64 N))) |
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) N)) |
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#s(approx (/ (- N -1) N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) |
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64))) |
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) |
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#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (*.f64 (neg.f64 (log.f64 N)) #s(literal -1/2 binary64))) |
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#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (*.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64))) |
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (fma.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) #s(literal -1/4 binary64))) N)))) |
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (fma.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) #s(literal -1/4 binary64))) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N)))))))) N)) (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N))))) (*.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) #s(literal -1/4 binary64))) N)))) |
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (fma.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/12 binary64) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) #s(literal -1/4 binary64))) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N)))))))) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) #s(literal -1/4 binary64))) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 1/4 binary64))))) N))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) #s(literal -1/4 binary64))) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N)))))))) N)) (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N))))) (*.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) #s(literal -1/4 binary64))) N)))) |
#s(approx (* (log (- N -1)) (log (- N -1))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (/.f64 (neg.f64 (log.f64 N)) N) #s(literal 2 binary64)))) |
#s(approx (* (log (- N -1)) (log (- N -1))) (fma.f64 (log.f64 N) (log.f64 N) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) N))) N)))) |
#s(approx (* (log (- N -1)) (log (- N -1))) (fma.f64 (log.f64 N) (log.f64 N) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (neg.f64 (/.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) N))) N))) N)))) |
#s(approx (log (- N -1)) (-.f64 (log.f64 N) (/.f64 #s(literal 1 binary64) N))) |
#s(approx (log (- N -1)) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)) (log.f64 N))) |
#s(approx (log (- N -1)) (+.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)) (log.f64 N))) |
#s(approx (log (* (- N -1) N)) (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)))) |
#s(approx (log (* (- N -1) N)) (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (/.f64 #s(literal 1 binary64) N))) |
#s(approx (log (* (- N -1) N)) (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))) |
#s(approx (log (* (- N -1) N)) (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (neg.f64 (/.f64 (-.f64 (neg.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) (log N)) (log (* (- N -1) N))) (fma.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N)))) N)) #s(literal -1/4 binary64)))) |
#s(approx (/ (* (log N) (log N)) (log (* (- N -1) N))) (fma.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal 3 binary64)) N)) #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N)))) N)) #s(literal -1/8 binary64))) (*.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) #s(literal -1/4 binary64))) N)))) |
#s(approx (/ (* (log N) (log N)) (log (* (- N -1) N))) (fma.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) (*.f64 (*.f64 (*.f64 (log.f64 N) (log.f64 N)) (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -3 binary64))) #s(literal 1/8 binary64))) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) N)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal 3 binary64)) N)) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N)))) N)) #s(literal -1/12 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) (*.f64 (*.f64 (*.f64 (log.f64 N) (log.f64 N)) (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -3 binary64))) #s(literal 1/8 binary64)))) N)) (*.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) #s(literal -1/4 binary64))) N)))) |
Compiled 4 886 to 1 447 computations (70.4% saved)
13 alts after pruning (8 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 265 | 6 | 271 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 266 | 13 | 279 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 23.0% | (-.f64 (/.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))) |
| ▶ | 26.6% | (neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))) |
| ✓ | 99.8% | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| ✓ | 25.9% | (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
| 25.9% | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) | |
| 95.0% | #s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) N)) | |
| 94.8% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (fma.f64 N N #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (neg.f64 (/.f64 #s(literal 1/2 binary64) N))) N)) | |
| ✓ | 95.0% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)) |
| ▶ | 92.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
| ✓ | 84.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| ▶ | 94.6% | #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N)))) |
| ▶ | 96.0% | #s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N)) |
| ▶ | 96.0% | #s(approx (log (+ 1 (/ 1 N))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.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))) |
Compiled 315 to 294 computations (6.7% saved)
| Inputs |
|---|
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N)) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) |
(+.f64 #s(literal 1 binary64) (/.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) |
(/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) |
#s(literal 1/4 binary64) |
(*.f64 (*.f64 N N) N) |
(*.f64 N N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) |
(/.f64 #s(literal 1/2 binary64) N) |
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))) |
(log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))) |
(/.f64 N (-.f64 N #s(literal -1 binary64))) |
(-.f64 N #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N)))) |
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N)) |
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) |
(-.f64 N #s(literal 1/2 binary64)) |
#s(approx (log (+ 1 (/ 1 N))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.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))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.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)) |
(/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.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) |
(-.f64 (neg.f64 (/.f64 (-.f64 (neg.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)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) |
(/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N) |
(-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) |
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) |
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/4 binary64) N) |
| Outputs |
|---|
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (log N)))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ N (* -1 (log N))))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))) |
#s(approx (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ -1/4 (pow N 4)))) |
#s(approx (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4)))) |
#s(approx (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)))) |
#s(approx (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)))) |
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ -1/4 (pow N 3)))) |
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3)))) |
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)))) |
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)))) |
#s(approx (+ 1 (/ (- (/ 1/3 N) 1/2) N)) #s(hole binary64 (/ 1/3 (pow N 2)))) |
#s(approx (+ 1 (/ (- (/ 1/3 N) 1/2) N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2)))) |
#s(approx (+ 1 (/ (- (/ 1/3 N) 1/2) N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2)))) |
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N))) |
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N))) |
#s(approx N #s(hole binary64 N)) |
#s(approx (/ 1/4 (* (* N N) N)) #s(hole binary64 (/ 1/4 (pow N 3)))) |
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3))) |
#s(approx (* N N) #s(hole binary64 (pow N 2))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)))) |
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2)))) |
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2)))) |
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ -1/2 N))) |
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ (- N 1/2) N))) |
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N))) |
#s(approx (log (/ N (- N -1))) #s(hole binary64 (log N))) |
#s(approx (log (/ N (- N -1))) #s(hole binary64 (+ (log N) (* -1 N)))) |
#s(approx (log (/ N (- N -1))) #s(hole binary64 (+ (log N) (* N (- (* 1/2 N) 1))))) |
#s(approx (log (/ N (- N -1))) #s(hole binary64 (+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1))))) |
#s(approx (/ N (- N -1)) #s(hole binary64 (* N (+ 1 (* -1 N))))) |
#s(approx (/ N (- N -1)) #s(hole binary64 (* N (+ 1 (* N (- N 1)))))) |
#s(approx (/ N (- N -1)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1)))))) |
#s(approx (- N -1) #s(hole binary64 1)) |
#s(approx (- N -1) #s(hole binary64 (+ 1 N))) |
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ 1/3 (pow N 3)))) |
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3)))) |
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3)))) |
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 1/3)) |
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (+ 1/3 (* -1/2 N)))) |
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (+ 1/3 (* N (- N 1/2))))) |
#s(approx (- N 1/2) #s(hole binary64 -1/2)) |
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2))) |
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N) #s(hole binary64 (/ 1/4 (pow N 4)))) |
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 4)))) |
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 4)))) |
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N) #s(hole binary64 (/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 4)))) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3)))) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3)))) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3)))) |
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) #s(hole binary64 (/ -1/4 (pow N 2)))) |
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2)))) |
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2)))) |
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ 1/4 (pow N 2)))) |
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2)))) |
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ 1/4 N))) |
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) N))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ 1 N))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N))) |
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (- 1 (* 1/2 (/ 1 N))))) |
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))) |
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N))) |
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2))) |
#s(approx (log (/ N (- N -1))) #s(hole binary64 (/ -1 N))) |
#s(approx (log (/ N (- N -1))) #s(hole binary64 (/ (- (* 1/2 (/ 1 N)) 1) N))) |
#s(approx (log (/ N (- N -1))) #s(hole binary64 (/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N))) |
#s(approx (log (/ N (- N -1))) #s(hole binary64 (/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N))) |
#s(approx (/ N (- N -1)) #s(hole binary64 (- 1 (/ 1 N)))) |
#s(approx (/ N (- N -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) |
#s(approx (/ N (- N -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))))) |
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N))))) |
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (- 1 (* 1/2 (/ 1 N)))))) |
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))) |
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N)))))) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 -1)) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1))) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))))) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))))) |
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) #s(hole binary64 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) #s(hole binary64 (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N))) |
#s(approx (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N))) |
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))))) |
#s(approx (neg (/ (- (/ 1/4 N) 1/3) N)) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) |
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ -1/3 N))) |
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ (- (* 1/4 (/ 1 N)) 1/3) N))) |
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 -1/3)) |
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (- (* 1/4 (/ 1 N)) 1/3))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)))) |
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))) |
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N)))) |
#s(approx (log (/ N (- N -1))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N)))) |
#s(approx (log (/ N (- N -1))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N)))) |
#s(approx (log (/ N (- N -1))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N)))) |
#s(approx (/ N (- N -1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))) |
#s(approx (/ N (- N -1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N))))) |
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))) |
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1))))) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1))) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1))) |
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) #s(hole binary64 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))) |
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)))) |
#s(approx (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))) |
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) #s(hole binary64 (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2))) |
#s(approx (neg (/ (- (/ 1/4 N) 1/3) N)) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)))) |
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | N | @ | 0 | ((log (+ 1 (/ 1 N))) (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) (+ 1 (/ (- (/ 1/3 N) 1/2) N)) 1 (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 N 1/2 (/ 1/4 (* (* N N) N)) 1/4 (* (* N N) N) (* N N) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) (neg (log (/ N (- N -1)))) (log (/ N (- N -1))) (/ N (- N -1)) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/ (+ (* (- N 1/2) N) 1/3) (* (* N N) N)) (+ (* (- N 1/2) N) 1/3) (- N 1/2) (log (+ 1 (/ 1 N))) (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N)) (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N) (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N) (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) (neg (/ (- (/ 1/4 N) 1/3) N)) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N)) |
| 6.0ms | N | @ | inf | ((log (+ 1 (/ 1 N))) (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) (+ 1 (/ (- (/ 1/3 N) 1/2) N)) 1 (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 N 1/2 (/ 1/4 (* (* N N) N)) 1/4 (* (* N N) N) (* N N) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) (neg (log (/ N (- N -1)))) (log (/ N (- N -1))) (/ N (- N -1)) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/ (+ (* (- N 1/2) N) 1/3) (* (* N N) N)) (+ (* (- N 1/2) N) 1/3) (- N 1/2) (log (+ 1 (/ 1 N))) (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N)) (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N) (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N) (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) (neg (/ (- (/ 1/4 N) 1/3) N)) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N)) |
| 4.0ms | N | @ | -inf | ((log (+ 1 (/ 1 N))) (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) (+ 1 (/ (- (/ 1/3 N) 1/2) N)) 1 (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 N 1/2 (/ 1/4 (* (* N N) N)) 1/4 (* (* N N) N) (* N N) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) (neg (log (/ N (- N -1)))) (log (/ N (- N -1))) (/ N (- N -1)) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/ (+ (* (- N 1/2) N) 1/3) (* (* N N) N)) (+ (* (- N 1/2) N) 1/3) (- N 1/2) (log (+ 1 (/ 1 N))) (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N)) (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N) (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N) (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) (neg (/ (- (/ 1/4 N) 1/3) N)) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 385 | 2711 |
| 0 | 436 | 2433 |
| 1 | 2185 | 2400 |
| 0 | 9052 | 2289 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N)) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) |
(+.f64 #s(literal 1 binary64) (/.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) |
(/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) |
#s(literal 1/4 binary64) |
(*.f64 (*.f64 N N) N) |
(*.f64 N N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) |
(/.f64 #s(literal 1/2 binary64) N) |
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))) |
(log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))) |
(/.f64 N (-.f64 N #s(literal -1 binary64))) |
(-.f64 N #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N)))) |
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N)) |
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) |
(-.f64 N #s(literal 1/2 binary64)) |
#s(approx (log (+ 1 (/ 1 N))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.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))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.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)) |
(/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.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) |
(-.f64 (neg.f64 (/.f64 (-.f64 (neg.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)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) |
(/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N) |
(-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) |
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) |
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/4 binary64) N) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (log N)))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ N (* -1 (log N))))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))) |
#s(approx (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ -1/4 (pow N 4)))) |
#s(approx (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4)))) |
#s(approx (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)))) |
#s(approx (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)))) |
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ -1/4 (pow N 3)))) |
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3)))) |
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)))) |
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)))) |
#s(approx (+ 1 (/ (- (/ 1/3 N) 1/2) N)) #s(hole binary64 (/ 1/3 (pow N 2)))) |
#s(approx (+ 1 (/ (- (/ 1/3 N) 1/2) N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2)))) |
#s(approx (+ 1 (/ (- (/ 1/3 N) 1/2) N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2)))) |
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N))) |
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N))) |
#s(approx N #s(hole binary64 N)) |
#s(approx (/ 1/4 (* (* N N) N)) #s(hole binary64 (/ 1/4 (pow N 3)))) |
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3))) |
#s(approx (* N N) #s(hole binary64 (pow N 2))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)))) |
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2)))) |
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2)))) |
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ -1/2 N))) |
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ (- N 1/2) N))) |
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N))) |
#s(approx (log (/ N (- N -1))) #s(hole binary64 (log N))) |
#s(approx (log (/ N (- N -1))) #s(hole binary64 (+ (log N) (* -1 N)))) |
#s(approx (log (/ N (- N -1))) #s(hole binary64 (+ (log N) (* N (- (* 1/2 N) 1))))) |
#s(approx (log (/ N (- N -1))) #s(hole binary64 (+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1))))) |
#s(approx (/ N (- N -1)) #s(hole binary64 (* N (+ 1 (* -1 N))))) |
#s(approx (/ N (- N -1)) #s(hole binary64 (* N (+ 1 (* N (- N 1)))))) |
#s(approx (/ N (- N -1)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1)))))) |
#s(approx (- N -1) #s(hole binary64 1)) |
#s(approx (- N -1) #s(hole binary64 (+ 1 N))) |
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ 1/3 (pow N 3)))) |
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3)))) |
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3)))) |
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 1/3)) |
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (+ 1/3 (* -1/2 N)))) |
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (+ 1/3 (* N (- N 1/2))))) |
#s(approx (- N 1/2) #s(hole binary64 -1/2)) |
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2))) |
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N) #s(hole binary64 (/ 1/4 (pow N 4)))) |
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 4)))) |
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 4)))) |
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N) #s(hole binary64 (/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 4)))) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3)))) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3)))) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3)))) |
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) #s(hole binary64 (/ -1/4 (pow N 2)))) |
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2)))) |
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2)))) |
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ 1/4 (pow N 2)))) |
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2)))) |
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ 1/4 N))) |
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) N))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ 1 N))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N))) |
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (- 1 (* 1/2 (/ 1 N))))) |
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))) |
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N))) |
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2))) |
#s(approx (log (/ N (- N -1))) #s(hole binary64 (/ -1 N))) |
#s(approx (log (/ N (- N -1))) #s(hole binary64 (/ (- (* 1/2 (/ 1 N)) 1) N))) |
#s(approx (log (/ N (- N -1))) #s(hole binary64 (/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N))) |
#s(approx (log (/ N (- N -1))) #s(hole binary64 (/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N))) |
#s(approx (/ N (- N -1)) #s(hole binary64 (- 1 (/ 1 N)))) |
#s(approx (/ N (- N -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) |
#s(approx (/ N (- N -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))))) |
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N))))) |
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (- 1 (* 1/2 (/ 1 N)))))) |
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))) |
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N)))))) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 -1)) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1))) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))))) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))))) |
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) #s(hole binary64 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) #s(hole binary64 (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N))) |
#s(approx (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N))) |
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))))) |
#s(approx (neg (/ (- (/ 1/4 N) 1/3) N)) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) |
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ -1/3 N))) |
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ (- (* 1/4 (/ 1 N)) 1/3) N))) |
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 -1/3)) |
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (- (* 1/4 (/ 1 N)) 1/3))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)))) |
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))) |
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N)))) |
#s(approx (log (/ N (- N -1))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N)))) |
#s(approx (log (/ N (- N -1))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N)))) |
#s(approx (log (/ N (- N -1))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N)))) |
#s(approx (/ N (- N -1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))) |
#s(approx (/ N (- N -1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N))))) |
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))) |
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1))))) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1))) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1))) |
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) #s(hole binary64 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))) |
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)))) |
#s(approx (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))) |
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) #s(hole binary64 (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2))) |
#s(approx (neg (/ (- (/ 1/4 N) 1/3) N)) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)))) |
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))) |
| Outputs |
|---|
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) N)) N)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) N)) (/.f64 #s(literal 1 binary64) N)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) N) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) N) (fma.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) N) N) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) N) N) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) N) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) N) N))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) N) #s(literal 3 binary64))) (fma.f64 (/.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) (fma.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) N) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) N) (*.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) N))))) |
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) N) (*.f64 N (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) N))) (*.f64 N N)) |
(/.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N) (*.f64 (neg.f64 N) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)))) (*.f64 (neg.f64 N) N)) |
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N) (*.f64 N (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)))) (*.f64 N N)) |
(/.f64 (*.f64 (-.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 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)))) #s(literal -1 binary64)) (*.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) (neg.f64 N))) |
(/.f64 (*.f64 (-.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 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N)) |
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) N) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) N))) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) N)) (neg.f64 N))) |
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) N) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) N))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) N)) N)) |
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(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) |
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(-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal -1/2 binary64)) |
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (/.f64 #s(literal 1 binary64) N)) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) |
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(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) |
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#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 (*.f64 N N) N))) |
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#s(approx (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) |
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#s(approx (- (/ 1/3 N) 1/2) (/.f64 #s(literal 1/3 binary64) N)) |
#s(approx (- (/ 1/3 N) 1/2) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N)) |
#s(approx N N) |
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#s(approx (* (* N N) N) (*.f64 (*.f64 N N) N)) |
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#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) |
#s(approx (- 1 (/ 1/2 N)) (/.f64 #s(literal -1/2 binary64) N)) |
#s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) |
#s(approx (/ 1/2 N) (/.f64 #s(literal 1/2 binary64) N)) |
#s(approx (log (/ N (- N -1))) (log.f64 N)) |
#s(approx (log (/ N (- N -1))) (+.f64 (neg.f64 N) (log.f64 N))) |
#s(approx (log (/ N (- N -1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1 binary64)) N (log.f64 N))) |
#s(approx (log (/ N (- N -1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/2 binary64)) N #s(literal -1 binary64)) N (log.f64 N))) |
#s(approx (/ N (- N -1)) (*.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64)) N)) |
#s(approx (/ N (- N -1)) (*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N)) |
#s(approx (/ N (- N -1)) (*.f64 (fma.f64 (fma.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64)) N #s(literal -1 binary64)) N #s(literal 1 binary64)) N)) |
#s(approx (- N -1) #s(literal 1 binary64)) |
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64))) |
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 N N) N))) |
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))) |
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))) |
#s(approx (+ (* (- N 1/2) N) 1/3) #s(literal 1/3 binary64)) |
#s(approx (+ (* (- N 1/2) N) 1/3) (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64))) |
#s(approx (+ (* (- N 1/2) N) 1/3) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) |
#s(approx (- N 1/2) #s(literal -1/2 binary64)) |
#s(approx (- N 1/2) (-.f64 N #s(literal 1/2 binary64))) |
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) (*.f64 N N)))) |
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 (*.f64 N N) (*.f64 N N)))) |
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64)) N #s(literal 1/4 binary64)) (*.f64 (*.f64 N N) (*.f64 N N)))) |
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N) (/.f64 (fma.f64 (fma.f64 (+.f64 (neg.f64 N) #s(literal 1/2 binary64)) N #s(literal -1/3 binary64)) N #s(literal 1/4 binary64)) (*.f64 (*.f64 N N) (*.f64 N N)))) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 (*.f64 N N) N))) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64)) N #s(literal 1/4 binary64)) (*.f64 (*.f64 N N) N))) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) (/.f64 (fma.f64 (fma.f64 (+.f64 (neg.f64 N) #s(literal 1/2 binary64)) N #s(literal -1/3 binary64)) N #s(literal 1/4 binary64)) (*.f64 (*.f64 N N) N))) |
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) |
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N N))) |
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 N N))) |
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) |
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))) |
#s(approx (- (/ 1/4 N) 1/3) (/.f64 #s(literal 1/4 binary64) N)) |
#s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)) |
#s(approx (log (+ 1 (/ 1 N))) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (log (+ 1 (/ 1 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 (+ 1 (/ 1 N))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) N)) N)) |
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) |
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))) |
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) N))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) |
#s(approx (- (/ 1/3 N) 1/2) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) |
#s(approx (log (/ N (- N -1))) (/.f64 #s(literal -1 binary64) N)) |
#s(approx (log (/ N (- N -1))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)) |
#s(approx (log (/ N (- N -1))) (/.f64 (-.f64 (neg.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 (- N -1))) (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) N))) N)) |
#s(approx (/ N (- N -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))) |
#s(approx (/ N (- N -1)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N))) |
#s(approx (/ N (- N -1)) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))) |
#s(approx (- N -1) (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))) |
#s(approx (+ (* (- N 1/2) N) 1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (*.f64 N N))) |
#s(approx (+ (* (- N 1/2) N) 1/3) (*.f64 (*.f64 N N) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)))) |
#s(approx (- N 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(literal -1 binary64)) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64))) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) N)))) |
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) |
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/3 binary64) N)) N)) |
#s(approx (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) N)) |
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 N N)))) |
#s(approx (neg (/ (- (/ 1/4 N) 1/3) N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) |
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 #s(literal -1/3 binary64) N)) |
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) |
#s(approx (- (/ 1/4 N) 1/3) #s(literal -1/3 binary64)) |
#s(approx (- (/ 1/4 N) 1/3) (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))) |
#s(approx (log (+ 1 (/ 1 N))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))) |
#s(approx (log (+ 1 (/ 1 N))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))) |
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N)) |
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) #s(literal 1 binary64))) |
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.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))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) |
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N))) |
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.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)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.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 (- N -1))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))) |
#s(approx (log (/ N (- N -1))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) #s(literal 1 binary64)) N))) |
#s(approx (log (/ N (- N -1))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.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))) |
#s(approx (/ N (- N -1)) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)) #s(literal 1 binary64))) |
#s(approx (/ N (- N -1)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)) #s(literal 1 binary64)) N)) #s(literal 1 binary64))) |
#s(approx (+ (* (- N 1/2) N) 1/3) (*.f64 (*.f64 N N) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) #s(literal 1 binary64)))) |
#s(approx (- N 1/2) (*.f64 (neg.f64 N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64))) |
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) #s(literal 1 binary64))) |
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))) |
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) |
#s(approx (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) N))) |
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64))) |
#s(approx (neg (/ (- (/ 1/4 N) 1/3) N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) |
#s(approx (/ (- (/ 1/4 N) 1/3) N) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) |
Compiled 8 701 to 3 488 computations (59.9% saved)
15 alts after pruning (9 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 595 | 7 | 602 |
| Fresh | 1 | 2 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 2 | 3 | 5 |
| Total | 600 | 15 | 615 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 26.6% | (neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))) |
| 26.8% | (neg.f64 (log.f64 (*.f64 N (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))))) | |
| ✓ | 99.8% | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| ✓ | 25.9% | (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
| ▶ | 25.9% | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) |
| ▶ | 95.0% | #s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) N)) |
| ✓ | 92.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
| 92.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N)) | |
| ✓ | 84.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| 92.5% | #s(approx (- (log (+ N 1)) (log N)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) N))) | |
| ✓ | 94.6% | #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N)))) |
| ▶ | 94.6% | #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal -1/3 binary64)) (*.f64 (*.f64 N N) N)))) |
| ▶ | 92.4% | #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))) |
| ▶ | 96.0% | #s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N)) |
| 95.6% | #s(approx (log (+ 1 (/ 1 N))) #s(approx (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 (*.f64 N N) (*.f64 N N))))) |
Compiled 372 to 356 computations (4.3% saved)
| Inputs |
|---|
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) |
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) |
#s(literal 1/3 binary64) |
(/.f64 #s(literal 1/4 binary64) N) |
#s(literal 1/4 binary64) |
N |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))) |
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) |
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)) |
(-.f64 N #s(literal 1/2 binary64)) |
(*.f64 N N) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) N) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) N)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) N) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) 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(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal -1/3 binary64)) (*.f64 (*.f64 N N) N)))) |
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal -1/3 binary64)) (*.f64 (*.f64 N N) N))) |
(/.f64 (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal -1/3 binary64)) (*.f64 (*.f64 N N) N)) |
(-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal -1/3 binary64)) |
(*.f64 (-.f64 N #s(literal 1/2 binary64)) N) |
#s(literal -1/3 binary64) |
(*.f64 (*.f64 N N) N) |
| Outputs |
|---|
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (log N)))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ N (* -1 (log N))))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))) |
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ -1/4 (pow N 4)))) |
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4)))) |
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)))) |
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)))) |
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (/ -1/4 (pow N 3)))) |
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3)))) |
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)))) |
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)))) |
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ 1/4 (pow N 3)))) |
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3)))) |
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3)))) |
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (/ 1/4 (pow N 2)))) |
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2)))) |
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 2)))) |
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ -1/4 (pow N 2)))) |
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2)))) |
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (/ -1/4 N))) |
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) N))) |
#s(approx (/ 1/4 N) #s(hole binary64 (/ 1/4 N))) |
#s(approx N #s(hole binary64 N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)))) |
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2)))) |
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2)))) |
#s(approx (- N 1/2) #s(hole binary64 -1/2)) |
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2))) |
#s(approx (* N N) #s(hole binary64 (pow N 2))) |
#s(approx (+ (/ 1 N) 1) #s(hole binary64 (/ 1 N))) |
#s(approx (+ (/ 1 N) 1) #s(hole binary64 (/ (+ 1 N) N))) |
#s(approx (/ (+ 1 (/ (- (/ 1/3 N) 1/2) N)) N) #s(hole binary64 (/ 1/3 (pow N 3)))) |
#s(approx (/ (+ 1 (/ (- (/ 1/3 N) 1/2) N)) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3)))) |
#s(approx (/ (+ 1 (/ (- (/ 1/3 N) 1/2) N)) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3)))) |
#s(approx (+ 1 (/ (- (/ 1/3 N) 1/2) N)) #s(hole binary64 (/ 1/3 (pow N 2)))) |
#s(approx (+ 1 (/ (- (/ 1/3 N) 1/2) N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2)))) |
#s(approx (+ 1 (/ (- (/ 1/3 N) 1/2) N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2)))) |
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N))) |
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N))) |
#s(approx (- (* (- N 1/2) N) -1/3) #s(hole binary64 1/3)) |
#s(approx (- (* (- N 1/2) N) -1/3) #s(hole binary64 (+ 1/3 (* -1/2 N)))) |
#s(approx (- (* (- N 1/2) N) -1/3) #s(hole binary64 (+ 1/3 (* N (- N 1/2))))) |
#s(approx (* (- N 1/2) N) #s(hole binary64 (* -1/2 N))) |
#s(approx (* (- N 1/2) N) #s(hole binary64 (* N (- N 1/2)))) |
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N))) |
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 1)) |
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N))))) |
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))) |
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))) |
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ 1/2 N))) |
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N))) |
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 1/2)) |
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (- 1/2 (* 1/3 (/ 1 N))))) |
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))))) |
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) |
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (- 1/3 (* 1/4 (/ 1 N))))) |
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N)))))) |
#s(approx (+ (/ 1 N) 1) #s(hole binary64 (+ 1 (/ 1 N)))) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N))) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N))) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (/ (- (+ 1 (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/16 (/ 1 (log (/ 1 N)))) (+ 1/12 (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N)))))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ 1 N)))) (+ 1/12 (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N))))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ -1/2 N))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N))) |
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2))) |
#s(approx (- (* (- N 1/2) N) -1/3) #s(hole binary64 (* (pow N 2) (- 1 (* 1/2 (/ 1 N)))))) |
#s(approx (- (* (- N 1/2) N) -1/3) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)))) |
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))) |
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#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ -1 N))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N)))) |
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#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1))))) |
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#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ -1 N)))) (* 1/16 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3))))) (+ (* 1/4 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N))))) N)) (/ (log (/ 1 N)) (log (/ -1 N)))) N)))) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/16 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3))))) (log (/ -1 N)))) (+ (* -1/4 (/ (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/24 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))))) (+ (* 1/6 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (+ (* 1/4 (/ (- (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N))))))) (log (/ -1 N))))))) N)) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ -1 N)))) (* 1/16 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))))) (+ (* 1/4 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N))))) N)) (/ (log (/ 1 N)) (log (/ -1 N)))) N)))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))) |
#s(approx (- (* (- N 1/2) N) -1/3) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | N | @ | 0 | ((log (+ 1 (/ 1 N))) (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) 1/2 (/ (- 1/3 (/ 1/4 N)) N) (- 1/3 (/ 1/4 N)) 1/3 (/ 1/4 N) 1/4 N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) (* N N) (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1) (/ 1 N) (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) (/ (+ 1 (/ (- (/ 1/3 N) 1/2) N)) N) (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/ (- (* (- N 1/2) N) -1/3) (* (* N N) N)) (- (* (- N 1/2) N) -1/3) (* (- N 1/2) N) -1/3 (* (* N N) N)) |
| 4.0ms | N | @ | -inf | ((log (+ 1 (/ 1 N))) (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) 1/2 (/ (- 1/3 (/ 1/4 N)) N) (- 1/3 (/ 1/4 N)) 1/3 (/ 1/4 N) 1/4 N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) (* N N) (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1) (/ 1 N) (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) (/ (+ 1 (/ (- (/ 1/3 N) 1/2) N)) N) (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/ (- (* (- N 1/2) N) -1/3) (* (* N N) N)) (- (* (- N 1/2) N) -1/3) (* (- N 1/2) N) -1/3 (* (* N N) N)) |
| 3.0ms | N | @ | inf | ((log (+ 1 (/ 1 N))) (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) 1/2 (/ (- 1/3 (/ 1/4 N)) N) (- 1/3 (/ 1/4 N)) 1/3 (/ 1/4 N) 1/4 N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) (* N N) (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1) (/ 1 N) (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) (/ (+ 1 (/ (- (/ 1/3 N) 1/2) N)) N) (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/ (- (* (- N 1/2) N) -1/3) (* (* N N) N)) (- (* (- N 1/2) N) -1/3) (* (- N 1/2) N) -1/3 (* (* N N) N)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 473 | 3571 |
| 0 | 513 | 3082 |
| 1 | 3224 | 3033 |
| 0 | 8627 | 2896 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) |
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) |
#s(literal 1/3 binary64) |
(/.f64 #s(literal 1/4 binary64) N) |
#s(literal 1/4 binary64) |
N |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))) |
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) |
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)) |
(-.f64 N #s(literal 1/2 binary64)) |
(*.f64 N N) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) N) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) N)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) N) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) 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(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal -1/3 binary64)) (*.f64 (*.f64 N N) N)))) |
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal -1/3 binary64)) (*.f64 (*.f64 N N) N))) |
(/.f64 (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal -1/3 binary64)) (*.f64 (*.f64 N N) N)) |
(-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal -1/3 binary64)) |
(*.f64 (-.f64 N #s(literal 1/2 binary64)) N) |
#s(literal -1/3 binary64) |
(*.f64 (*.f64 N N) N) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (log N)))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ N (* -1 (log N))))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))) |
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ -1/4 (pow N 4)))) |
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4)))) |
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)))) |
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)))) |
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (/ -1/4 (pow N 3)))) |
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3)))) |
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)))) |
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)))) |
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ 1/4 (pow N 3)))) |
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3)))) |
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3)))) |
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (/ 1/4 (pow N 2)))) |
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2)))) |
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 2)))) |
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ -1/4 (pow N 2)))) |
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2)))) |
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (/ -1/4 N))) |
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) N))) |
#s(approx (/ 1/4 N) #s(hole binary64 (/ 1/4 N))) |
#s(approx N #s(hole binary64 N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)))) |
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2)))) |
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2)))) |
#s(approx (- N 1/2) #s(hole binary64 -1/2)) |
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2))) |
#s(approx (* N N) #s(hole binary64 (pow N 2))) |
#s(approx (+ (/ 1 N) 1) #s(hole binary64 (/ 1 N))) |
#s(approx (+ (/ 1 N) 1) #s(hole binary64 (/ (+ 1 N) N))) |
#s(approx (/ (+ 1 (/ (- (/ 1/3 N) 1/2) N)) N) #s(hole binary64 (/ 1/3 (pow N 3)))) |
#s(approx (/ (+ 1 (/ (- (/ 1/3 N) 1/2) N)) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3)))) |
#s(approx (/ (+ 1 (/ (- (/ 1/3 N) 1/2) N)) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3)))) |
#s(approx (+ 1 (/ (- (/ 1/3 N) 1/2) N)) #s(hole binary64 (/ 1/3 (pow N 2)))) |
#s(approx (+ 1 (/ (- (/ 1/3 N) 1/2) N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2)))) |
#s(approx (+ 1 (/ (- (/ 1/3 N) 1/2) N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2)))) |
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N))) |
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N))) |
#s(approx (- (* (- N 1/2) N) -1/3) #s(hole binary64 1/3)) |
#s(approx (- (* (- N 1/2) N) -1/3) #s(hole binary64 (+ 1/3 (* -1/2 N)))) |
#s(approx (- (* (- N 1/2) N) -1/3) #s(hole binary64 (+ 1/3 (* N (- N 1/2))))) |
#s(approx (* (- N 1/2) N) #s(hole binary64 (* -1/2 N))) |
#s(approx (* (- N 1/2) N) #s(hole binary64 (* N (- N 1/2)))) |
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N))) |
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 1)) |
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N))))) |
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))) |
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))) |
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ 1/2 N))) |
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N))) |
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 1/2)) |
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (- 1/2 (* 1/3 (/ 1 N))))) |
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))))) |
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) |
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (- 1/3 (* 1/4 (/ 1 N))))) |
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N)))))) |
#s(approx (+ (/ 1 N) 1) #s(hole binary64 (+ 1 (/ 1 N)))) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N))) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N))) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (/ (- (+ 1 (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/16 (/ 1 (log (/ 1 N)))) (+ 1/12 (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N)))))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ 1 N)))) (+ 1/12 (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N))))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ -1/2 N))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N))) |
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2))) |
#s(approx (- (* (- N 1/2) N) -1/3) #s(hole binary64 (* (pow N 2) (- 1 (* 1/2 (/ 1 N)))))) |
#s(approx (- (* (- N 1/2) N) -1/3) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)))) |
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))) |
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))))) |
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))) |
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)))) |
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))))) |
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ -1 N))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N)))) |
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1))))) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (* -1 (/ (log (/ 1 N)) (* N (log (/ -1 N))))))) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N))))) N)) (/ (log (/ 1 N)) (log (/ -1 N)))) N)))) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ -1 N)))) (* 1/16 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3))))) (+ (* 1/4 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N))))) N)) (/ (log (/ 1 N)) (log (/ -1 N)))) N)))) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/16 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3))))) (log (/ -1 N)))) (+ (* -1/4 (/ (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/24 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))))) (+ (* 1/6 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (+ (* 1/4 (/ (- (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N))))))) (log (/ -1 N))))))) N)) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ -1 N)))) (* 1/16 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))))) (+ (* 1/4 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N))))) N)) (/ (log (/ 1 N)) (log (/ -1 N)))) N)))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))) |
#s(approx (- (* (- N 1/2) N) -1/3) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))) |
| Outputs |
|---|
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) (/.f64 #s(literal 1 binary64) N)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))) (neg.f64 N))) |
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(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) |
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#s(literal -1/3 binary64) |
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#s(approx (/ 1/4 N) (/.f64 #s(literal 1/4 binary64) N)) |
#s(approx N N) |
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#s(approx (- N 1/2) #s(literal -1/2 binary64)) |
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#s(approx (* N N) (*.f64 N N)) |
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#s(approx (- (/ 1/3 N) 1/2) (/.f64 #s(literal 1/3 binary64) N)) |
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#s(approx (- (* (- N 1/2) N) -1/3) #s(literal 1/3 binary64)) |
#s(approx (- (* (- N 1/2) N) -1/3) (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64))) |
#s(approx (- (* (- N 1/2) N) -1/3) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) |
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#s(approx (* (* N N) N) (*.f64 (*.f64 N N) N)) |
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#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) |
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#s(approx (- (* (- N 1/2) N) -1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (*.f64 N N))) |
#s(approx (- (* (- N 1/2) N) -1/3) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (*.f64 N N))) |
#s(approx (log (+ 1 (/ 1 N))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))) |
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#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))) |
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N))) |
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#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal -1 binary64) N)) |
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(fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (log.f64 N) (log.f64 N)) (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -3 binary64))) (*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (log.f64 N) (log.f64 N)) (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -3 binary64))) #s(literal 1/8 binary64))) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/4 binary64))))) (fma.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) #s(literal -1/12 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 1/4 binary64))))) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 1/4 binary64))))) N)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (log.f64 N) (log.f64 N)) (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -3 binary64))) #s(literal 1/8 binary64))) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (log.f64 N) (log.f64 N)) (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -3 binary64))) #s(literal 1/16 binary64))))) (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 1/4 binary64)))) N)) (fma.f64 (*.f64 (*.f64 (log.f64 N) (log.f64 N)) (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -3 binary64))) #s(literal 1/8 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64)))) (*.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 1/2 binary64))) N)) (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N))))) N))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) |
#s(approx (- (* (- N 1/2) N) -1/3) (*.f64 (*.f64 N N) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) #s(literal 1 binary64)))) |
Compiled 4 686 to 1 855 computations (60.4% saved)
15 alts after pruning (6 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 338 | 3 | 341 |
| Fresh | 1 | 3 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 341 | 15 | 356 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 26.6% | (neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))) |
| 26.8% | (neg.f64 (log.f64 (*.f64 N (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))))) | |
| ✓ | 99.8% | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| ✓ | 25.9% | (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
| 25.9% | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) | |
| ✓ | 92.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
| 92.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N)) | |
| ✓ | 84.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| ✓ | 94.6% | #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N)))) |
| ✓ | 94.6% | #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal -1/3 binary64)) (*.f64 (*.f64 N N) N)))) |
| ✓ | 92.4% | #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))) |
| 92.2% | #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))) | |
| ✓ | 96.0% | #s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N)) |
| 95.0% | #s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N)) N)) | |
| 95.6% | #s(approx (log (+ 1 (/ 1 N))) #s(approx (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 (*.f64 N N) (*.f64 N N))))) |
Compiled 453 to 377 computations (16.8% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) N))) |
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))) |
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N)) N)) |
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) N)) |
(neg.f64 (log.f64 (*.f64 N (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))))) |
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal -1/3 binary64)) (*.f64 (*.f64 N N) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.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 (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (fma.f64 N N #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (neg.f64 (/.f64 #s(literal 1/2 binary64) N))) N)) |
#s(approx (log (+ 1 (/ 1 N))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.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 (+ 1 (/ 1 N))) #s(approx (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 (*.f64 N N) (*.f64 N N))))) |
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal -1/2 binary64) N))) N)) |
(-.f64 (/.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))) |
| Outputs |
|---|
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
2 calls:
| 6.0ms | N |
| 5.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 99.8% | 1 | N |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) N))) |
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))) |
2 calls:
| 3.0ms | N |
| 2.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 2 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 98.0% | 2 | N |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) N))) |
| Outputs |
|---|
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
2 calls:
| 3.0ms | N |
| 2.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 2 | N |
| 97.9% | 2 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
2 calls:
| 2.0ms | N |
| 1.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.6% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 92.6% | 1 | N |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N)) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N)) |
2 calls:
| 1.0ms | N |
| 1.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.6% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 92.6% | 1 | N |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))) |
2 calls:
| 1.0ms | N |
| 1.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.4% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 92.4% | 1 | N |
Compiled 7 to 7 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#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)) |
2 calls:
| 1.0ms | N |
| 1.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.9% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 84.9% | 1 | N |
Compiled 7 to 7 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.8657844552147935e-6 | 7.48930455429786e-6 |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 258679.20960347602 | 359359.36330852815 |
| 4.0ms | 48× | 1 | valid |
Compiled 64 to 68 computations (-6.3% saved)
adjust: 1.0ms (34.9% of total)ival-log: 1.0ms (34.9% of total)ival-log1p: 1.0ms (34.9% of total)ival-sub!: 0.0ms (0% of total)| 1× | fuel |
Compiled 55 to 45 computations (18.2% saved)
Compiled 95 to 79 computations (16.8% saved)
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