
Time bar (total: 2.2s)
| 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)
| 996.0ms | 7 502× | 1 | valid |
| 30.0ms | 754× | 0 | valid |
ival-log1p: 359.0ms (47.3% of total)ival-log: 220.0ms (29% of total)adjust: 138.0ms (18.2% of total)ival-sub!: 42.0ms (5.5% of total)Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 23 |
| 1 | 21 | 23 |
| 2 | 44 | 19 |
| 3 | 150 | 18 |
| 4 | 1111 | 18 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 26.4% | (-.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 N #s(hole binary64 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)) |
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N))))) |
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N))))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)))) |
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N)))))) |
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N))))) |
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))))) |
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))))) |
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | N | @ | 0 | ((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N)) |
| 17.0ms | N | @ | -inf | ((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N)) |
| 6.0ms | 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 | 126 | 516 |
| 0 | 131 | 453 |
| 1 | 715 | 428 |
| 0 | 6901 | 369 |
| 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 N #s(hole binary64 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)) |
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N))))) |
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N))))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)))) |
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N)))))) |
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N))))) |
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))))) |
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))))) |
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N)))))) |
| Outputs |
|---|
(log1p.f64 (/.f64 #s(literal 1 binary64) 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)))))) |
(-.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)) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
(log1p.f64 N) |
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (log.f64 (-.f64 #s(literal 1 binary64) 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) N)))) |
(-.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)))) |
(log.f64 (-.f64 N #s(literal -1 binary64))) |
(*.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 N N #s(literal -1 binary64))) (neg.f64 (-.f64 N #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #s(literal 1 binary64) N))) |
(/.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 (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 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N)) |
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) |
(/.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 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))) |
(-.f64 N (*.f64 (neg.f64 N) (/.f64 #s(literal 1 binary64) N))) |
(-.f64 N (*.f64 (/.f64 #s(literal -1 binary64) N) N)) |
(-.f64 N #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 (/.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 #s(literal 1 binary64) N) |
(+.f64 N #s(literal 1 binary64)) |
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 (log.f64 N) #s(literal 1 binary64)) |
(*.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))) |
(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 N N) |
#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 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.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))) #s(literal 1 binary64)) N)) |
#s(approx (log (+ N 1)) (log.f64 N)) |
#s(approx (log (+ N 1)) (+.f64 (/.f64 #s(literal 1 binary64) N) (log.f64 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 (/.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) |
#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 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N))) |
#s(approx (log (+ N 1)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64)))) |
#s(approx (log (+ N 1)) (+.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) N))) |
#s(approx (log (+ N 1)) (-.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))) |
#s(approx (log (+ N 1)) (-.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) N))) |
#s(approx (log N) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64)))) |
Compiled 593 to 283 computations (52.3% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 68 | 5 | 73 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 69 | 5 | 74 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| ▶ | 29.1% | (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
| ▶ | 92.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
| ▶ | 95.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)) |
| ▶ | 82.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
Compiled 90 to 90 computations (0% 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)) |
#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) |
#s(literal 1/2 binary64) |
(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 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) |
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/3 binary64) N) |
#s(literal 1/3 binary64) |
| 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 (* -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 (/ (- 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 -1) N)) #s(hole binary64 (* -1 (log N)))) |
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (+ N (* -1 (log N))))) |
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))))) |
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))) |
#s(approx (/ (- N -1) N) #s(hole binary64 (/ 1 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) 1/2) N) 1) N) #s(hole binary64 (/ 1/3 (pow N 3)))) |
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3)))) |
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3)))) |
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ 1/3 (pow N 2)))) |
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2)))) |
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2)))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 (pow N 2)))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (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 (/ 1/3 N) #s(hole binary64 (/ 1/3 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 (- (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 (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ 1 N))) |
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 1)) |
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N))))) |
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ 1 N))) |
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N))) |
#s(approx (log (/ (- N -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)) |
#s(approx (/ (- N -1) N) #s(hole binary64 (+ 1 (/ 1 N)))) |
#s(approx (- N -1) #s(hole binary64 N)) |
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N))))) |
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1 N))) |
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N))) |
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 1)) |
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N))))) |
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 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 -1/2)) |
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2))) |
#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 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)))) |
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)))) |
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | N | @ | -inf | ((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) 1/2 (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3) |
| 2.0ms | N | @ | 0 | ((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) 1/2 (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3) |
| 2.0ms | N | @ | inf | ((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) 1/2 (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 1381 |
| 0 | 209 | 1237 |
| 1 | 789 | 1172 |
| 0 | 6335 | 1160 |
| 1× | iter-limit |
| 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)) |
#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) |
#s(literal 1/2 binary64) |
(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 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) |
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/3 binary64) N) |
#s(literal 1/3 binary64) |
#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 (* -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 (/ (- 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 -1) N)) #s(hole binary64 (* -1 (log N)))) |
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (+ N (* -1 (log N))))) |
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))))) |
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))) |
#s(approx (/ (- N -1) N) #s(hole binary64 (/ 1 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) 1/2) N) 1) N) #s(hole binary64 (/ 1/3 (pow N 3)))) |
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3)))) |
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3)))) |
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ 1/3 (pow N 2)))) |
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2)))) |
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2)))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 (pow N 2)))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (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 (/ 1/3 N) #s(hole binary64 (/ 1/3 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 (- (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 (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ 1 N))) |
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 1)) |
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N))))) |
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ 1 N))) |
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N))) |
#s(approx (log (/ (- N -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)) |
#s(approx (/ (- N -1) N) #s(hole binary64 (+ 1 (/ 1 N)))) |
#s(approx (- N -1) #s(hole binary64 N)) |
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N))))) |
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1 N))) |
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N))) |
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 1)) |
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N))))) |
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 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 -1/2)) |
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2))) |
#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 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)))) |
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)))) |
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))) |
| Outputs |
|---|
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))) (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 #s(literal 1 binary64) N) #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))) (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)))))) |
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(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/3 binary64) N) (*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/3 binary64) N) (/.f64 #s(literal -1/2 binary64) N)) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) |
(fma.f64 N (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N)) |
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 (*.f64 #s(literal 1/2 binary64) N) (*.f64 N N))) |
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) N)) |
(+.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 N N)))) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 N N) N)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 N N) N)) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) N (*.f64 (neg.f64 N) (*.f64 #s(literal -1/2 binary64) N))) (*.f64 (neg.f64 N) N)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N (*.f64 (*.f64 N N) #s(literal -1/2 binary64))) (*.f64 N N)) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/6 binary64) N)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 N N)))) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 N N) N)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64))) N) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 N N))) (*.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N)) N)) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 N N))) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 N N) N) #s(literal 1/27 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) N) (-.f64 (*.f64 #s(literal -1/2 binary64) N) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) N)) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 N N) N))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1/8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/6 binary64) N))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64)) (neg.f64 N)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N) |
(neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)))) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (neg.f64 N))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64)) N)) |
(neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1 binary64) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 N N) N)) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/6 binary64) N))) (/.f64 #s(literal 1/8 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/6 binary64) N)))) |
(-.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 (*.f64 #s(literal 1/2 binary64) N) N)) |
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) N))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal -1 binary64))) |
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 N)) |
(/.f64 #s(literal 1/3 binary64) N) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) N)) |
#s(literal 1/3 binary64) |
#s(approx (log (+ 1 (/ 1 N))) (neg.f64 (log.f64 N))) |
#s(approx (log (+ 1 (/ 1 N))) (-.f64 N (log.f64 N))) |
#s(approx (log (+ 1 (/ 1 N))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N))) |
#s(approx (log (+ 1 (/ 1 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 (/ 1 N) (/.f64 #s(literal 1 binary64) N)) |
#s(approx N N) |
#s(approx (log (+ 1 (/ 1 N))) (neg.f64 (log.f64 N))) |
#s(approx (log (+ 1 (/ 1 N))) (-.f64 N (log.f64 N))) |
#s(approx (log (+ 1 (/ 1 N))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N))) |
#s(approx (log (+ 1 (/ 1 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 (/ (- 1 (/ 1/2 N)) N) (/.f64 #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))) |
#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 (+ 1 (/ 1 N))) (neg.f64 (log.f64 N))) |
#s(approx (log (+ 1 (/ 1 N))) (-.f64 N (log.f64 N))) |
#s(approx (log (+ 1 (/ 1 N))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N))) |
#s(approx (log (+ 1 (/ 1 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 (/ (- N -1) N) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (/ (- N -1) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) |
#s(approx (- N -1) #s(literal 1 binary64)) |
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64))) |
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 N N) N))) |
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N))) |
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) 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) 1/2) N) 1) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) |
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) |
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 #s(literal 1/3 binary64) (*.f64 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 #s(literal 1/3 binary64) N)) |
#s(approx (- (/ 1/3 N) 1/2) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) |
#s(approx (/ 1/3 N) (/.f64 #s(literal 1/3 binary64) N)) |
#s(approx (log (+ 1 (/ 1 N))) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 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 (-.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)) |
#s(approx (log (+ 1 (/ 1 N))) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 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 (-.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)) |
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(literal 1 binary64) 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)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) |
#s(approx (log (+ 1 (/ 1 N))) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 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 (-.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)) |
#s(approx (/ (- N -1) N) #s(literal 1 binary64)) |
#s(approx (/ (- N -1) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) |
#s(approx (- N -1) N) |
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64))) |
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) |
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(literal 1 binary64)) |
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) |
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 #s(literal -1/2 binary64) 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) #s(literal -1/2 binary64)) |
#s(approx (- (/ 1/3 N) 1/2) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) |
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 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 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N))) |
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 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 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N))) |
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N))) |
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 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 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N))) |
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N))) |
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) |
Compiled 3 636 to 1 659 computations (54.4% saved)
12 alts after pruning (8 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 400 | 8 | 408 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 401 | 12 | 413 |
| Status | Accuracy | Program |
|---|---|---|
| 29.8% | (-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| ▶ | 99.5% | (log1p.f64 (/.f64 N (*.f64 N N))) |
| ✓ | 99.8% | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| ▶ | 99.2% | (log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))) |
| ✓ | 29.1% | (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
| ▶ | 91.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
| 95.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) | |
| 91.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) | |
| ✓ | 92.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
| ▶ | 82.4% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N))) |
| ✓ | 82.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| ▶ | 92.1% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) |
Compiled 200 to 196 computations (2% saved)
| Inputs |
|---|
(log1p.f64 (/.f64 N (*.f64 N N))) |
(/.f64 N (*.f64 N N)) |
N |
(*.f64 N N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) |
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))) |
(/.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 N N)) |
#s(literal 1/2 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
(/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))) |
(fma.f64 N N #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
(*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
(-.f64 N #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))) |
(pow.f64 N #s(literal -1/2 binary64)) |
| Outputs |
|---|
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (log N)))) |
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (+ N (* -1 (log N))))) |
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))))) |
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))) |
#s(approx (/ N (* N N)) #s(hole binary64 (/ 1 N))) |
#s(approx N #s(hole binary64 N)) |
#s(approx (* N N) #s(hole binary64 (pow N 2))) |
#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 (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (/ -1/2 (pow N 2)))) |
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (/ (- N 1/2) (pow N 2)))) |
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N))) |
#s(approx (/ 1/2 (* N N)) #s(hole binary64 (/ 1/2 (pow N 2)))) |
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (/ -1/2 (pow N 2)))) |
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (/ (- N 1/2) (pow N 2)))) |
#s(approx (+ (* N N) -1/4) #s(hole binary64 -1/4)) |
#s(approx (+ (* N N) -1/4) #s(hole binary64 (- (pow N 2) 1/4))) |
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (* 1/2 (pow N 2)))) |
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (* (pow N 2) (+ 1/2 N)))) |
#s(approx (- N -1/2) #s(hole binary64 1/2)) |
#s(approx (- N -1/2) #s(hole binary64 (+ 1/2 N))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (log N)))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ N (* -1 (log N))))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))) |
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (/ 1 N))) |
#s(approx (pow N -1/2) #s(hole binary64 (sqrt (/ 1 N)))) |
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ 1 N))) |
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N))) |
#s(approx (log (+ 1 (/ N (* N 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)) (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 (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (/ 1 N))) |
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (/ 1 N))) |
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (+ (* N N) -1/4) #s(hole binary64 (pow N 2))) |
#s(approx (+ (* N N) -1/4) #s(hole binary64 (* (pow N 2) (- 1 (* 1/4 (/ 1 (pow N 2))))))) |
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (pow N 3))) |
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (* (pow N 3) (+ 1 (* 1/2 (/ 1 N)))))) |
#s(approx (- N -1/2) #s(hole binary64 N)) |
#s(approx (- N -1/2) #s(hole binary64 (* N (+ 1 (* 1/2 (/ 1 N)))))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ 1 N))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N))) |
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
#s(approx (log (+ 1 (/ N (* N 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 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)))) |
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N)))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N)))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N)))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N)))) |
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N)))) |
#s(approx (pow N -1/2) #s(hole binary64 (* (sqrt (/ 1 N)) (pow (sqrt -1) 2)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | N | @ | inf | ((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1 N) 1 (/ 1/2 (* N N)) 1/2 (- (log (+ N 1)) (log N)) (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) (+ (* N N) -1/4) -1/4 (* (- N -1/2) (* N N)) (- N -1/2) -1/2 (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2)) |
| 3.0ms | N | @ | -inf | ((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1 N) 1 (/ 1/2 (* N N)) 1/2 (- (log (+ N 1)) (log N)) (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) (+ (* N N) -1/4) -1/4 (* (- N -1/2) (* N N)) (- N -1/2) -1/2 (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2)) |
| 2.0ms | N | @ | 0 | ((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1 N) 1 (/ 1/2 (* N N)) 1/2 (- (log (+ N 1)) (log N)) (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) (+ (* N N) -1/4) -1/4 (* (- N -1/2) (* N N)) (- N -1/2) -1/2 (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 213 | 1255 |
| 0 | 236 | 1032 |
| 0 | 1037 | 1005 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(log1p.f64 (/.f64 N (*.f64 N N))) |
(/.f64 N (*.f64 N N)) |
N |
(*.f64 N N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) |
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))) |
(/.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 N N)) |
#s(literal 1/2 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
(/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))) |
(fma.f64 N N #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
(*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
(-.f64 N #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))) |
(pow.f64 N #s(literal -1/2 binary64)) |
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (log N)))) |
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (+ N (* -1 (log N))))) |
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))))) |
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))) |
#s(approx (/ N (* N N)) #s(hole binary64 (/ 1 N))) |
#s(approx N #s(hole binary64 N)) |
#s(approx (* N N) #s(hole binary64 (pow N 2))) |
#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 (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (/ -1/2 (pow N 2)))) |
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (/ (- N 1/2) (pow N 2)))) |
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N))) |
#s(approx (/ 1/2 (* N N)) #s(hole binary64 (/ 1/2 (pow N 2)))) |
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (/ -1/2 (pow N 2)))) |
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (/ (- N 1/2) (pow N 2)))) |
#s(approx (+ (* N N) -1/4) #s(hole binary64 -1/4)) |
#s(approx (+ (* N N) -1/4) #s(hole binary64 (- (pow N 2) 1/4))) |
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (* 1/2 (pow N 2)))) |
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (* (pow N 2) (+ 1/2 N)))) |
#s(approx (- N -1/2) #s(hole binary64 1/2)) |
#s(approx (- N -1/2) #s(hole binary64 (+ 1/2 N))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (log N)))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ N (* -1 (log N))))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))) |
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (/ 1 N))) |
#s(approx (pow N -1/2) #s(hole binary64 (sqrt (/ 1 N)))) |
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ 1 N))) |
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N))) |
#s(approx (log (+ 1 (/ N (* N 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)) (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 (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (/ 1 N))) |
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (/ 1 N))) |
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (+ (* N N) -1/4) #s(hole binary64 (pow N 2))) |
#s(approx (+ (* N N) -1/4) #s(hole binary64 (* (pow N 2) (- 1 (* 1/4 (/ 1 (pow N 2))))))) |
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (pow N 3))) |
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (* (pow N 3) (+ 1 (* 1/2 (/ 1 N)))))) |
#s(approx (- N -1/2) #s(hole binary64 N)) |
#s(approx (- N -1/2) #s(hole binary64 (* N (+ 1 (* 1/2 (/ 1 N)))))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ 1 N))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N))) |
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
#s(approx (log (+ 1 (/ N (* N 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 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)))) |
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N)))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N)))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N)))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N)))) |
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N)))) |
#s(approx (pow N -1/2) #s(hole binary64 (* (sqrt (/ 1 N)) (pow (sqrt -1) 2)))) |
| Outputs |
|---|
(log1p.f64 (/.f64 N (*.f64 N N))) |
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (*.f64 N N)))) |
(/.f64 (/.f64 N N) N) |
(/.f64 (neg.f64 N) (neg.f64 (*.f64 N N))) |
(/.f64 N (*.f64 N N)) |
N |
(*.f64 (pow.f64 N #s(literal 1 binary64)) (pow.f64 N #s(literal 1 binary64))) |
(*.f64 (fabs.f64 N) (fabs.f64 N)) |
(*.f64 (neg.f64 N) (neg.f64 N)) |
(*.f64 N N) |
(pow.f64 N #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 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 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N #s(literal 1/2 binary64))) (*.f64 (*.f64 N N) N)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) (neg.f64 N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))) |
(*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)) |
(*.f64 (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 N #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N)) |
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 N #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 N)) |
(/.f64 #s(literal 1 binary64) N) |
(neg.f64 (/.f64 #s(literal -1 binary64) N)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal 1/2 binary64) N) N) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 N N))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 N N)) |
#s(literal 1/2 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (*.f64 (-.f64 N #s(literal -1/2 binary64)) N) N))) |
(/.f64 (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (-.f64 N #s(literal -1/2 binary64))) (*.f64 N N)) |
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1/4 binary64))) (neg.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1/2 binary64)) N) N))) |
(/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (*.f64 (-.f64 N #s(literal -1/2 binary64)) N) N)) |
(+.f64 (/.f64 (*.f64 N N) (*.f64 (*.f64 (-.f64 N #s(literal -1/2 binary64)) N) N)) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1/2 binary64)) N) N))) |
(/.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) #s(literal 1/16 binary64)) (-.f64 (*.f64 N N) #s(literal -1/4 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 N N) #s(literal 3 binary64)) #s(literal -1/64 binary64)) (fma.f64 (*.f64 N N) (*.f64 N N) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 N N) #s(literal -1/4 binary64))))) |
(fma.f64 (pow.f64 N #s(literal 1 binary64)) (pow.f64 N #s(literal 1 binary64)) #s(literal -1/4 binary64)) |
(fma.f64 (fabs.f64 N) (fabs.f64 N) #s(literal -1/4 binary64)) |
(fma.f64 (neg.f64 N) (neg.f64 N) #s(literal -1/4 binary64)) |
(fma.f64 N N #s(literal -1/4 binary64)) |
(+.f64 (*.f64 N N) #s(literal -1/4 binary64)) |
(+.f64 #s(literal -1/4 binary64) (*.f64 N N)) |
#s(literal -1/4 binary64) |
(*.f64 (*.f64 (-.f64 N #s(literal -1/2 binary64)) N) N) |
(*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
(*.f64 (*.f64 N N) (-.f64 N #s(literal -1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1/8 binary64)) (fma.f64 N N (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) N)))) |
(/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (+.f64 N #s(literal -1/2 binary64))) |
(-.f64 N #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(log1p.f64 (/.f64 #s(literal 1 binary64) 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 (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 N #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N)) |
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 N #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 N)) |
(/.f64 #s(literal 1 binary64) N) |
(neg.f64 (/.f64 #s(literal -1 binary64) N)) |
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 N #s(literal -1/4 binary64))) |
(pow.f64 N #s(literal -1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 N) #s(literal -1/2 binary64))) |
#s(approx (log (+ 1 (/ N (* N N)))) (neg.f64 (log.f64 N))) |
#s(approx (log (+ 1 (/ N (* N N)))) (+.f64 (neg.f64 (log.f64 N)) N)) |
#s(approx (log (+ 1 (/ N (* N N)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))) |
#s(approx (log (+ 1 (/ N (* N N)))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))) |
#s(approx (/ N (* N N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx N N) |
#s(approx (* N N) (*.f64 N 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 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N))) |
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) |
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) |
#s(approx (/ 1 N) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (/ 1/2 (* N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))) |
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) |
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) |
#s(approx (+ (* N N) -1/4) #s(literal -1/4 binary64)) |
#s(approx (+ (* N N) -1/4) (-.f64 (*.f64 N N) #s(literal 1/4 binary64))) |
#s(approx (* (- N -1/2) (* N N)) (*.f64 (*.f64 N N) #s(literal 1/2 binary64))) |
#s(approx (* (- N -1/2) (* N N)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) (*.f64 N N))) |
#s(approx (- N -1/2) #s(literal 1/2 binary64)) |
#s(approx (- N -1/2) (+.f64 #s(literal 1/2 binary64) N)) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (neg.f64 (log.f64 N))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (+.f64 (neg.f64 (log.f64 N)) N)) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))) |
#s(approx (/ 1 N) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) |
#s(approx (log (+ 1 (/ N (* N N)))) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (log (+ 1 (/ N (* N N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (log (+ 1 (/ N (* 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)) |
#s(approx (log (+ 1 (/ N (* N N)))) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) 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 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N)) |
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (+ (* N N) -1/4) (*.f64 N N)) |
#s(approx (+ (* N N) -1/4) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) (*.f64 N N))) |
#s(approx (* (- N -1/2) (* N N)) (*.f64 (*.f64 N N) N)) |
#s(approx (* (- N -1/2) (* N N)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (*.f64 (*.f64 N N) N))) |
#s(approx (- N -1/2) N) |
#s(approx (- N -1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (/.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 (* (pow N -1/2) (pow N -1/2)))) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N)) |
#s(approx (log (+ 1 (/ N (* N N)))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))) |
#s(approx (log (+ 1 (/ N (* N 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 (/ N (* N 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 1)) (log N)) (neg.f64 (/.f64 (-.f64 (/.f64 #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 (/.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 (- (/ 1 N) (/ 1/2 (* N N))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))) |
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (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 (* (pow N -1/2) (pow N -1/2)))) (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 (/ 1 N) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (pow N -1/2) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)) #s(literal -1 binary64))) |
Compiled 1 005 to 445 computations (55.7% saved)
13 alts after pruning (5 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 126 | 2 | 128 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 127 | 13 | 140 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 29.8% | (-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
| ✓ | 99.5% | (log1p.f64 (/.f64 N (*.f64 N N))) |
| ✓ | 99.8% | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| ✓ | 99.2% | (log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))) |
| ▶ | 99.0% | (log1p.f64 (*.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))))) |
| ✓ | 29.1% | (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
| ▶ | 95.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
| ▶ | 91.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) |
| ✓ | 92.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
| ▶ | 92.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* N N) -1/4) (*.f64 N N)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
| ✓ | 82.4% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N))) |
| ✓ | 82.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| ✓ | 92.1% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) |
Compiled 200 to 187 computations (6.5% saved)
| Inputs |
|---|
(log1p.f64 (*.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))))) |
(*.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))) |
#s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 N)) |
#s(literal 1 binary64) |
(sqrt.f64 N) |
N |
#s(approx (- (log (+ N 1)) (log 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)) |
#s(literal 1/2 binary64) |
(*.f64 N N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* N N) -1/4) (*.f64 N N)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
(/.f64 #s(approx (+ (* N N) -1/4) (*.f64 N N)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))) |
#s(approx (+ (* N N) -1/4) (*.f64 N N)) |
(*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
(-.f64 N #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) |
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/3 binary64) N) |
#s(literal 1/3 binary64) |
#s(literal -1 binary64) |
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) |
(*.f64 (*.f64 N N) N) |
(log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #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 #s(literal 1 binary64) N) |
(-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (log N)))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ N (* -1 (log N))))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))) |
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (/ 1 N))) |
#s(approx (pow N -1/2) #s(hole binary64 (sqrt (/ 1 N)))) |
#s(approx (/ 1 (sqrt N)) #s(hole binary64 (sqrt (/ 1 N)))) |
#s(approx (sqrt N) #s(hole binary64 (sqrt N))) |
#s(approx N #s(hole binary64 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 (/ (- N 1/2) (* N N)) #s(hole binary64 (/ -1/2 (pow N 2)))) |
#s(approx (/ (- N 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 (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (/ -1/2 (pow N 2)))) |
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (/ (- N 1/2) (pow N 2)))) |
#s(approx (+ (* N N) -1/4) #s(hole binary64 -1/4)) |
#s(approx (+ (* N N) -1/4) #s(hole binary64 (- (pow N 2) 1/4))) |
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (* 1/2 (pow N 2)))) |
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (* (pow N 2) (+ 1/2 N)))) |
#s(approx (- N -1/2) #s(hole binary64 1/2)) |
#s(approx (- N -1/2) #s(hole binary64 (+ 1/2 N))) |
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ 1/3 (pow N 3)))) |
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3)))) |
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3)))) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (/ 1/3 (pow N 2)))) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2)))) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2)))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 (pow N 2)))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (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 (/ 1/3 N) #s(hole binary64 (/ 1/3 N))) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) #s(hole binary64 (- (* -3 (log N)) (* -2 (log N))))) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) #s(hole binary64 (- (+ N (* -3 (log N))) (* -2 (log N))))) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) #s(hole binary64 (- (+ (* -3 (log N)) (* N (+ 1 (* -1/2 N)))) (* -2 (log N))))) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) #s(hole binary64 (- (+ (* -3 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) (* -2 (log N))))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) #s(hole binary64 (* -3 (log N)))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) #s(hole binary64 (+ (* -3 (log N)) (pow N 3)))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) #s(hole binary64 (+ (* -3 (log N)) (* (pow N 3) (+ 1 (* -1/2 (pow N 3))))))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) #s(hole binary64 (+ (* -3 (log N)) (* (pow N 3) (+ 1 (* (pow N 3) (- (* 1/3 (pow N 3)) 1/2))))))) |
#s(approx (+ (/ 1 (* (* N N) N)) 1) #s(hole binary64 (/ 1 (pow N 3)))) |
#s(approx (+ (/ 1 (* (* N N) N)) 1) #s(hole binary64 (/ (+ 1 (pow N 3)) (pow N 3)))) |
#s(approx (/ 1 (* (* N N) N)) #s(hole binary64 (/ 1 (pow N 3)))) |
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3))) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) #s(hole binary64 (* -2 (log N)))) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) #s(hole binary64 (+ (* -2 (log N)) (* -1 N)))) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) #s(hole binary64 (+ (* -2 (log N)) (* N (- (* 1/2 N) 1))))) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) #s(hole binary64 (+ (* -2 (log N)) (* N (- (* N (+ 1/2 (* 2/3 N))) 1))))) |
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) #s(hole binary64 (/ 1 (pow N 2)))) |
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) #s(hole binary64 (/ (+ 1 (* -1 N)) (pow N 2)))) |
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) #s(hole binary64 (/ (+ 1 (* N (- N 1))) (pow N 2)))) |
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N))) |
#s(approx (- (/ 1 N) 1) #s(hole binary64 (/ 1 N))) |
#s(approx (- (/ 1 N) 1) #s(hole binary64 (/ (+ 1 (* -1 N)) N))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ 1 N))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #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)) (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 (/ (- N 1/2) (* N N)) #s(hole binary64 (/ 1 N))) |
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (- N 1/2) #s(hole binary64 N)) |
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N)))))) |
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (/ 1 N))) |
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (+ (* N N) -1/4) #s(hole binary64 (pow N 2))) |
#s(approx (+ (* N N) -1/4) #s(hole binary64 (* (pow N 2) (- 1 (* 1/4 (/ 1 (pow N 2))))))) |
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (pow N 3))) |
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (* (pow N 3) (+ 1 (* 1/2 (/ 1 N)))))) |
#s(approx (- N -1/2) #s(hole binary64 N)) |
#s(approx (- N -1/2) #s(hole binary64 (* N (+ 1 (* 1/2 (/ 1 N)))))) |
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ 1 N))) |
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N))) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 1)) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N))))) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 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 -1/2)) |
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2))) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) #s(hole binary64 (/ 1 N))) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N))) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) #s(hole binary64 (/ 1 (pow N 3)))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow N 3)))) (pow N 3)))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 6))) (* 1/2 (/ 1 (pow N 3)))) (pow N 3)))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 6))) (+ (* 1/2 (/ 1 (pow N 3))) (* 1/4 (/ 1 (pow N 9))))) (pow N 3)))) |
#s(approx (+ (/ 1 (* (* N N) N)) 1) #s(hole binary64 1)) |
#s(approx (+ (/ 1 (* (* N N) N)) 1) #s(hole binary64 (+ 1 (/ 1 (pow N 3))))) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) #s(hole binary64 (/ -1 N))) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) #s(hole binary64 (/ (- (* 1/2 (/ 1 N)) 1) N))) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) #s(hole binary64 (/ (- (+ (/ 2/3 (pow N 2)) (* 1/2 (/ 1 N))) 1) N))) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) #s(hole binary64 (/ (- (+ (/ 2/3 (pow N 2)) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) 1) N))) |
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) #s(hole binary64 (- 1 (/ 1 N)))) |
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) #s(hole binary64 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) |
#s(approx (- (/ 1 N) 1) #s(hole binary64 -1)) |
#s(approx (- (/ 1 N) 1) #s(hole binary64 (- (/ 1 N) 1))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N)))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N)))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N)))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N)))) |
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N)))) |
#s(approx (pow N -1/2) #s(hole binary64 (* (sqrt (/ 1 N)) (pow (sqrt -1) 2)))) |
#s(approx (sqrt N) #s(hole binary64 (* -1 (* (sqrt N) (pow (sqrt -1) 2))))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)))) |
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1))))) |
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (pow N 3))) 1) (pow N 3))))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3))))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow N 3))) 1/3) (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3))))) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N)))) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* 2/3 (/ 1 N))) N))) N)))) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/4 (pow N 2)) (* 2/3 (/ 1 N)))) N))) N)))) |
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | N | @ | -inf | ((log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) (/ 1 (sqrt N)) 1 (sqrt N) N (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (+ N 1)) (log N)) (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) (+ (* N N) -1/4) (* (- N -1/2) (* N N)) (- N -1/2) -1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 -1 (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) (log (+ (/ 1 (* (* N N) N)) 1)) (+ (/ 1 (* (* N N) N)) 1) (/ 1 (* (* N N) N)) (* (* N N) N) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) (/ 1 N) (- (/ 1 N) 1)) |
| 4.0ms | N | @ | inf | ((log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) (/ 1 (sqrt N)) 1 (sqrt N) N (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (+ N 1)) (log N)) (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) (+ (* N N) -1/4) (* (- N -1/2) (* N N)) (- N -1/2) -1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 -1 (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) (log (+ (/ 1 (* (* N N) N)) 1)) (+ (/ 1 (* (* N N) N)) 1) (/ 1 (* (* N N) N)) (* (* N N) N) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) (/ 1 N) (- (/ 1 N) 1)) |
| 4.0ms | N | @ | 0 | ((log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) (/ 1 (sqrt N)) 1 (sqrt N) N (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (+ N 1)) (log N)) (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) (+ (* N N) -1/4) (* (- N -1/2) (* N N)) (- N -1/2) -1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 -1 (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) (log (+ (/ 1 (* (* N N) N)) 1)) (+ (/ 1 (* (* N N) N)) 1) (/ 1 (* (* N N) N)) (* (* N N) N) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) (/ 1 N) (- (/ 1 N) 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 435 | 2937 |
| 0 | 480 | 2485 |
| 0 | 2210 | 2343 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(log1p.f64 (*.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))))) |
(*.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))) |
#s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 N)) |
#s(literal 1 binary64) |
(sqrt.f64 N) |
N |
#s(approx (- (log (+ N 1)) (log 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)) |
#s(literal 1/2 binary64) |
(*.f64 N N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* N N) -1/4) (*.f64 N N)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
(/.f64 #s(approx (+ (* N N) -1/4) (*.f64 N N)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))) |
#s(approx (+ (* N N) -1/4) (*.f64 N N)) |
(*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
(-.f64 N #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) |
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/3 binary64) N) |
#s(literal 1/3 binary64) |
#s(literal -1 binary64) |
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) |
(*.f64 (*.f64 N N) N) |
(log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #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 #s(literal 1 binary64) N) |
(-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (log N)))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ N (* -1 (log N))))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))) |
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (/ 1 N))) |
#s(approx (pow N -1/2) #s(hole binary64 (sqrt (/ 1 N)))) |
#s(approx (/ 1 (sqrt N)) #s(hole binary64 (sqrt (/ 1 N)))) |
#s(approx (sqrt N) #s(hole binary64 (sqrt N))) |
#s(approx N #s(hole binary64 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 (/ (- N 1/2) (* N N)) #s(hole binary64 (/ -1/2 (pow N 2)))) |
#s(approx (/ (- N 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 (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (/ -1/2 (pow N 2)))) |
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (/ (- N 1/2) (pow N 2)))) |
#s(approx (+ (* N N) -1/4) #s(hole binary64 -1/4)) |
#s(approx (+ (* N N) -1/4) #s(hole binary64 (- (pow N 2) 1/4))) |
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (* 1/2 (pow N 2)))) |
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (* (pow N 2) (+ 1/2 N)))) |
#s(approx (- N -1/2) #s(hole binary64 1/2)) |
#s(approx (- N -1/2) #s(hole binary64 (+ 1/2 N))) |
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ 1/3 (pow N 3)))) |
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3)))) |
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3)))) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (/ 1/3 (pow N 2)))) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2)))) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2)))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 (pow N 2)))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (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 (/ 1/3 N) #s(hole binary64 (/ 1/3 N))) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) #s(hole binary64 (- (* -3 (log N)) (* -2 (log N))))) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) #s(hole binary64 (- (+ N (* -3 (log N))) (* -2 (log N))))) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) #s(hole binary64 (- (+ (* -3 (log N)) (* N (+ 1 (* -1/2 N)))) (* -2 (log N))))) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) #s(hole binary64 (- (+ (* -3 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) (* -2 (log N))))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) #s(hole binary64 (* -3 (log N)))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) #s(hole binary64 (+ (* -3 (log N)) (pow N 3)))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) #s(hole binary64 (+ (* -3 (log N)) (* (pow N 3) (+ 1 (* -1/2 (pow N 3))))))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) #s(hole binary64 (+ (* -3 (log N)) (* (pow N 3) (+ 1 (* (pow N 3) (- (* 1/3 (pow N 3)) 1/2))))))) |
#s(approx (+ (/ 1 (* (* N N) N)) 1) #s(hole binary64 (/ 1 (pow N 3)))) |
#s(approx (+ (/ 1 (* (* N N) N)) 1) #s(hole binary64 (/ (+ 1 (pow N 3)) (pow N 3)))) |
#s(approx (/ 1 (* (* N N) N)) #s(hole binary64 (/ 1 (pow N 3)))) |
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3))) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) #s(hole binary64 (* -2 (log N)))) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) #s(hole binary64 (+ (* -2 (log N)) (* -1 N)))) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) #s(hole binary64 (+ (* -2 (log N)) (* N (- (* 1/2 N) 1))))) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) #s(hole binary64 (+ (* -2 (log N)) (* N (- (* N (+ 1/2 (* 2/3 N))) 1))))) |
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) #s(hole binary64 (/ 1 (pow N 2)))) |
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) #s(hole binary64 (/ (+ 1 (* -1 N)) (pow N 2)))) |
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) #s(hole binary64 (/ (+ 1 (* N (- N 1))) (pow N 2)))) |
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N))) |
#s(approx (- (/ 1 N) 1) #s(hole binary64 (/ 1 N))) |
#s(approx (- (/ 1 N) 1) #s(hole binary64 (/ (+ 1 (* -1 N)) N))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ 1 N))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #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)) (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 (/ (- N 1/2) (* N N)) #s(hole binary64 (/ 1 N))) |
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (- N 1/2) #s(hole binary64 N)) |
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N)))))) |
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (/ 1 N))) |
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (+ (* N N) -1/4) #s(hole binary64 (pow N 2))) |
#s(approx (+ (* N N) -1/4) #s(hole binary64 (* (pow N 2) (- 1 (* 1/4 (/ 1 (pow N 2))))))) |
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (pow N 3))) |
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (* (pow N 3) (+ 1 (* 1/2 (/ 1 N)))))) |
#s(approx (- N -1/2) #s(hole binary64 N)) |
#s(approx (- N -1/2) #s(hole binary64 (* N (+ 1 (* 1/2 (/ 1 N)))))) |
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ 1 N))) |
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N))) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 1)) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N))))) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 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 -1/2)) |
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2))) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) #s(hole binary64 (/ 1 N))) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N))) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) #s(hole binary64 (/ 1 (pow N 3)))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow N 3)))) (pow N 3)))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 6))) (* 1/2 (/ 1 (pow N 3)))) (pow N 3)))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 6))) (+ (* 1/2 (/ 1 (pow N 3))) (* 1/4 (/ 1 (pow N 9))))) (pow N 3)))) |
#s(approx (+ (/ 1 (* (* N N) N)) 1) #s(hole binary64 1)) |
#s(approx (+ (/ 1 (* (* N N) N)) 1) #s(hole binary64 (+ 1 (/ 1 (pow N 3))))) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) #s(hole binary64 (/ -1 N))) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) #s(hole binary64 (/ (- (* 1/2 (/ 1 N)) 1) N))) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) #s(hole binary64 (/ (- (+ (/ 2/3 (pow N 2)) (* 1/2 (/ 1 N))) 1) N))) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) #s(hole binary64 (/ (- (+ (/ 2/3 (pow N 2)) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) 1) N))) |
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) #s(hole binary64 (- 1 (/ 1 N)))) |
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) #s(hole binary64 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) |
#s(approx (- (/ 1 N) 1) #s(hole binary64 -1)) |
#s(approx (- (/ 1 N) 1) #s(hole binary64 (- (/ 1 N) 1))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N)))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N)))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N)))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N)))) |
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N)))) |
#s(approx (pow N -1/2) #s(hole binary64 (* (sqrt (/ 1 N)) (pow (sqrt -1) 2)))) |
#s(approx (sqrt N) #s(hole binary64 (* -1 (* (sqrt N) (pow (sqrt -1) 2))))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)))) |
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1))))) |
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (pow N 3))) 1) (pow N 3))))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3))))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow N 3))) 1/3) (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3))))) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N)))) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* 2/3 (/ 1 N))) N))) N)))) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/4 (pow N 2)) (* 2/3 (/ 1 N)))) N))) N)))) |
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))) |
| Outputs |
|---|
(log1p.f64 (*.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))))) |
(log.f64 (fma.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))) (fabs.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))))) |
(*.f64 (neg.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))) (neg.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))))) |
(*.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))) |
(pow.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(literal 2 binary64)) |
#s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) |
(pow.f64 (sqrt.f64 N) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 N))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 N)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) N)) |
#s(literal 1 binary64) |
(pow.f64 N #s(literal 1/2 binary64)) |
(sqrt.f64 N) |
N |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) |
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) |
(/.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64))) (neg.f64 (*.f64 N N))) |
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)) |
(-.f64 (/.f64 N (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))) |
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal 1/8 binary64)) (fma.f64 N N (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) N)))) |
(/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) N)) |
(-.f64 N #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (pow.f64 N #s(literal 1 binary64)) (pow.f64 N #s(literal 1 binary64))) |
(*.f64 (fabs.f64 N) (fabs.f64 N)) |
(*.f64 (neg.f64 N) (neg.f64 N)) |
(*.f64 N N) |
(pow.f64 N #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* N N) -1/4) (*.f64 N N)) (*.f64 (*.f64 (-.f64 N #s(literal -1/2 binary64)) N) N))) |
(/.f64 (/.f64 #s(approx (+ (* N N) -1/4) (*.f64 N N)) (-.f64 N #s(literal -1/2 binary64))) (*.f64 N N)) |
(/.f64 (neg.f64 #s(approx (+ (* N N) -1/4) (*.f64 N N))) (neg.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1/2 binary64)) N) N))) |
(/.f64 #s(approx (+ (* N N) -1/4) (*.f64 N N)) (*.f64 (*.f64 (-.f64 N #s(literal -1/2 binary64)) N) N)) |
#s(approx (+ (* N N) -1/4) (*.f64 N N)) |
(*.f64 (*.f64 (-.f64 N #s(literal -1/2 binary64)) N) N) |
(*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
(*.f64 (*.f64 N N) (-.f64 N #s(literal -1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1/8 binary64)) (fma.f64 N N (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) N)))) |
(/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (+.f64 N #s(literal -1/2 binary64))) |
(-.f64 N #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))) (neg.f64 N)) |
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#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N)) |
#s(approx (/ (- N 1/2) (* N N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (/ (- N 1/2) (* N N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- N 1/2) N) |
#s(approx (- N 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (+ (* N N) -1/4) (*.f64 N N)) |
#s(approx (+ (* N N) -1/4) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) (*.f64 N N))) |
#s(approx (* (- N -1/2) (* N N)) (*.f64 (*.f64 N N) N)) |
#s(approx (* (- N -1/2) (* N N)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (*.f64 (*.f64 N N) N))) |
#s(approx (- N -1/2) N) |
#s(approx (- N -1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)) |
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) 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 (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(literal 1 binary64)) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) |
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 #s(literal -1/2 binary64) 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) #s(literal -1/2 binary64)) |
#s(approx (- (/ 1/3 N) 1/2) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) (/.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 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N)) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 N N) N))) (*.f64 (*.f64 N N) N))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 N N) N))) (*.f64 (*.f64 N N) N))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))) #s(literal 1 binary64)) (fma.f64 (pow.f64 N #s(literal -9 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 N N) N)))) (*.f64 (*.f64 N N) N))) |
#s(approx (+ (/ 1 (* (* N N) N)) 1) #s(literal 1 binary64)) |
#s(approx (+ (/ 1 (* (* N N) N)) 1) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) (/.f64 #s(literal -1 binary64) N)) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) N)) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) #s(literal 1 binary64)) N)) |
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))) |
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N))) |
#s(approx (- (/ 1 N) 1) #s(literal -1 binary64)) |
#s(approx (- (/ 1 N) 1) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N))) |
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (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 (* (pow N -1/2) (pow N -1/2)))) (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 (/ 1 N) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (pow N -1/2) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)) #s(literal -1 binary64))) |
#s(approx (sqrt N) (neg.f64 (*.f64 (sqrt.f64 N) #s(literal -1 binary64)))) |
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (-.f64 (/.f64 #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 (/.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 (/ (- N 1/2) (* N N)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))) |
#s(approx (- N 1/2) (*.f64 (neg.f64 N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) |
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))) |
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))) |
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -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 (- (/ (- (/ 1/3 N) 1/2) N) -1) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) #s(literal 1 binary64))) |
#s(approx (/ (- (/ 1/3 N) 1/2) N) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))) |
#s(approx (- (log (+ (/ 1 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) (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 (* (* N N) N)) 1)) (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1))) (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 (* (* N N) N)) 1)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64)) (*.f64 (*.f64 N N) N)))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1/2 binary64)) (*.f64 (*.f64 N N) N))) #s(literal 1 binary64)) (*.f64 (*.f64 N N) N)))) |
#s(approx (log (+ (/ 1 (* (* N N) N)) 1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))) #s(literal 1/2 binary64)) (*.f64 (*.f64 N N) N))) #s(literal 1 binary64)) (*.f64 (*.f64 N N) N)))) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))) |
#s(approx (log (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) (/.f64 #s(literal 2/3 binary64) N)) N)) #s(literal 1 binary64)) N))) |
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)) #s(literal 1 binary64))) |
Compiled 2 390 to 996 computations (58.3% saved)
13 alts after pruning (2 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 219 | 2 | 221 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 7 | 8 |
| Total | 221 | 13 | 234 |
| Status | Accuracy | Program |
|---|---|---|
| 29.8% | (-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (log.f64 #s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)) #s(literal 1 binary64))))) | |
| ✓ | 99.5% | (log1p.f64 (/.f64 N (*.f64 N N))) |
| ✓ | 99.8% | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| ✓ | 99.0% | (log1p.f64 (*.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))))) |
| 99.2% | (log1p.f64 (*.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))))) | |
| ✓ | 29.1% | (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
| ✓ | 95.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
| ✓ | 91.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) |
| ✓ | 92.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
| ✓ | 92.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* N N) -1/4) (*.f64 N N)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
| ✓ | 82.4% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N))) |
| ✓ | 82.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| ✓ | 92.1% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) |
Compiled 268 to 225 computations (16% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 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 N #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) |
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* N N) -1/4) (*.f64 N N)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)) |
(log1p.f64 (/.f64 N (*.f64 N N))) |
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
(log1p.f64 (*.f64 #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))) #s(approx (pow N -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) N))))) |
(log1p.f64 (*.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))))) |
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (log.f64 #s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))) |
| Outputs |
|---|
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
2 calls:
| 6.0ms | N |
| 4.0ms | (-.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)) (/.f64 N (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 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 N #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) |
| Outputs |
|---|
(log.f64 (/.f64 (-.f64 N #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)) |
2 calls:
| 2.0ms | N |
| 2.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 2 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 97.3% | 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)) (/.f64 N (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 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 |
|---|---|---|
| 92.1% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 92.1% | 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)) (/.f64 N (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log 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 |
|---|---|---|
| 91.9% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 91.9% | 1 | N |
Compiled 7 to 7 computations (0% saved)
Total -0.1b remaining (-1.2%)
Threshold costs -0.1b (-1.2%)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N 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 |
|---|---|---|
| 82.6% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 82.6% | 1 | N |
Compiled 7 to 7 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 264789.0143112825 | 330042.1234606902 |
| 3.0ms | 32× | 1 | valid |
Compiled 44 to 46 computations (-4.5% saved)
adjust: 1.0ms (50% of total)ival-log: 1.0ms (50% of total)ival-log1p: 1.0ms (50% of total)ival-sub!: 0.0ms (0% of total)| 1× | fuel |
Compiled 31 to 26 computations (16.1% saved)
Compiled 71 to 60 computations (15.5% saved)
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