
Time bar (total: 3.3s)
| 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)
| 1.2s | 7 432× | 1 | valid |
| 35.0ms | 824× | 0 | valid |
ival-log: 316.0ms (33.1% of total)ival-log1p: 315.0ms (33% of total)adjust: 213.0ms (22.3% of total)ival-sub!: 111.0ms (11.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 246 | 0 | - | 1 | (22.26429615018582) | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 0 | 0 | - | 0 | - | N |
| 0 | 0 | - | 0 | - | (log.f64 N) |
| 0 | 0 | - | 0 | - | (+.f64 N #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (log.f64 (+.f64 N #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) | cancellation | 245 | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 245 | 1 |
| - | 0 | 10 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 245 | 1 | 0 |
| - | 0 | 1 | 9 |
| number | freq |
|---|---|
| 0 | 11 |
| 1 | 245 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 89.0ms | 452× | 1 | valid |
| 3.0ms | 60× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-log1p: 16.0ms (38.1% of total)ival-log: 13.0ms (31% of total)adjust: 8.0ms (19.1% of total)ival-sub!: 2.0ms (4.8% of total)ival-add!: 1.0ms (2.4% of total)Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 26 |
| 1 | 16 | 26 |
| 2 | 19 | 26 |
| 3 | 33 | 26 |
| 4 | 76 | 26 |
| 5 | 321 | 24 |
| 6 | 2820 | 24 |
| 7 | 6223 | 24 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 27.8% | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 14 to 12 computations (14.3% 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 | |
|---|---|---|---|---|
| 23.0ms | N | @ | 0 | ((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N)) |
| 20.0ms | 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 | 714 | 428 |
| 0 | 6908 | 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 (-.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 (*.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 (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 1 218 to 285 computations (76.6% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 72 | 7 | 79 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 73 | 7 | 80 |
| Status | Accuracy | Program |
|---|---|---|
| 27.8% | (-.f64 (log1p.f64 N) (log.f64 N)) | |
| 27.8% | (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) | |
| ▶ | 99.8% | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| ▶ | 31.1% | (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
| ▶ | 90.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
| ▶ | 93.6% | #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)) |
| ▶ | 81.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
Compiled 134 to 110 computations (17.9% 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 | |
|---|---|---|---|---|
| 3.0ms | 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 | 788 | 1172 |
| 0 | 6350 | 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)))))) |
(-.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))) |
(-.f64 (log.f64 (+.f64 (/.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)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (neg.f64 N))) |
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) |
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) |
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) N))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) |
(pow.f64 N #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) |
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 N))) |
(/.f64 (neg.f64 N) (*.f64 (neg.f64 N) N)) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N)) |
(/.f64 #s(literal -1 binary64) (neg.f64 N)) |
(/.f64 N (*.f64 N N)) |
(/.f64 #s(literal 1 binary64) N) |
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) N))) |
(neg.f64 (/.f64 #s(literal -1 binary64) N)) |
(exp.f64 (neg.f64 (log.f64 N))) |
#s(literal 1 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))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N 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 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N 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 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N))) N) |
(/.f64 (neg.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (neg.f64 N) N))) |
(/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 #s(literal 1/2 binary64) N))) (*.f64 (neg.f64 N) N)) |
(/.f64 (-.f64 N (*.f64 N (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N N)) |
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) #s(literal 1/2 binary64))) (*.f64 (*.f64 N N) (*.f64 N N))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N)) |
(/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N N) N))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64)) N)) |
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal 1/8 binary64)) (*.f64 (fma.f64 N N (fma.f64 #s(literal 1/2 binary64) N #s(literal 1/4 binary64))) (*.f64 N N))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (neg.f64 N)) |
(/.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64))) (*.f64 (neg.f64 N) N)) |
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)) |
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
(neg.f64 (/.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64))) (*.f64 N N))) |
(neg.f64 (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) (neg.f64 N))) |
(neg.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 (neg.f64 N) N))) |
(fma.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) |
(fma.f64 #s(literal 1 binary64) (/.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 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64)))) N) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N N) N)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 N) N) (*.f64 #s(literal -1/2 binary64) N)) (*.f64 (neg.f64 N) N)) |
(/.f64 (-.f64 (*.f64 N N) (*.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 N)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 N))) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) N) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) |
(/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N N) N))) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal 1/8 binary64)) (*.f64 (fma.f64 N N (fma.f64 #s(literal 1/2 binary64) N #s(literal 1/4 binary64))) N)) |
(/.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64))) (neg.f64 N)) |
(/.f64 (-.f64 N #s(literal 1/2 binary64)) N) |
(neg.f64 (/.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64))) N)) |
(neg.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (neg.f64 N))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) |
(fma.f64 N (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N N) N)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) |
(+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 N)) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 N) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 N))) |
(/.f64 #s(literal 1/2 binary64) N) |
(/.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) |
(neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) |
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N))) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) N)) |
#s(literal 1/2 binary64) |
(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)))))) |
(-.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))) |
(-.f64 (log.f64 (+.f64 (/.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)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (neg.f64 N))) |
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) |
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 N #s(literal -1 binary64)))) N) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (neg.f64 (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 N N) (neg.f64 N)) (*.f64 N N)) |
(/.f64 (+.f64 (neg.f64 N) (*.f64 (neg.f64 N) N)) (*.f64 (neg.f64 N) N)) |
(/.f64 (+.f64 N (*.f64 N N)) (*.f64 N N)) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (neg.f64 N) #s(literal 2 binary64))) (*.f64 (neg.f64 N) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 N #s(literal 2 binary64))) (*.f64 N #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 N) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 N))) |
(/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) N)) |
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal 1 binary64)) N)) |
(/.f64 (-.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 #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 #s(literal 1 binary64) (*.f64 N N)) (*.f64 (-.f64 #s(literal 1 binary64) N) N)) |
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (*.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) N)) |
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) N)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))) |
(/.f64 (+.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 (neg.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 N)) |
(/.f64 (-.f64 N #s(literal -1 binary64)) N) |
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#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 9 712 to 1 679 computations (82.7% saved)
15 alts after pruning (12 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 429 | 11 | 440 |
| Fresh | 1 | 1 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 432 | 15 | 447 |
| Status | Accuracy | Program |
|---|---|---|
| 27.8% | (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) | |
| 31.8% | (-.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)))) | |
| 95.4% | (log1p.f64 (exp.f64 (neg.f64 (log.f64 N)))) | |
| ▶ | 31.0% | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) |
| 90.4% | #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)))) | |
| ▶ | 93.6% | #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)) |
| 90.4% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) | |
| ✓ | 90.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
| ▶ | 81.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N))) |
| ✓ | 81.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| 90.6% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) | |
| ▶ | 78.1% | #s(approx (- (log (+ N 1)) (log N)) (exp.f64 (neg.f64 (log.f64 N)))) |
Compiled 330 to 245 computations (25.8% 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))) |
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) N) |
#s(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(literal 1/2 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (neg.f64 (log.f64 N)))) |
(exp.f64 (neg.f64 (log.f64 N))) |
(neg.f64 (log.f64 N)) |
(log.f64 N) |
| 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 (log (- (/ 1 N) -1)) #s(hole binary64 (* -1 (log N)))) |
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (+ N (* -1 (log N))))) |
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))))) |
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))) |
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ 1 N))) |
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ (+ 1 N) N))) |
#s(approx (/ 1 N) #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 (exp (neg (log N))) #s(hole binary64 (exp (neg (log N))))) |
#s(approx (neg (log N)) #s(hole binary64 (* -1 (log N)))) |
#s(approx (log N) #s(hole binary64 (log 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 (log (- (/ 1 N) -1)) #s(hole binary64 (/ 1 N))) |
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N))) |
#s(approx (log (- (/ 1 N) -1)) #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) #s(hole binary64 1)) |
#s(approx (- (/ 1 N) -1) #s(hole binary64 (+ 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 (exp (neg (log N))) #s(hole binary64 (exp (neg (* -1 (log (/ 1 N))))))) |
#s(approx (neg (log N)) #s(hole binary64 (log (/ 1 N)))) |
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 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 (log (- (/ 1 N) -1)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
#s(approx (log (- (/ 1 N) -1)) #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)))) |
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))))) |
#s(approx (neg (log N)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) |
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | N | @ | -inf | ((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (log (- (/ 1 N) -1)) (- (/ 1 N) -1) (/ 1 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 1/2 (- (log (+ N 1)) (log N)) (exp (neg (log N))) (neg (log N)) (log N)) |
| 10.0ms | N | @ | 0 | ((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (log (- (/ 1 N) -1)) (- (/ 1 N) -1) (/ 1 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 1/2 (- (log (+ N 1)) (log N)) (exp (neg (log N))) (neg (log N)) (log N)) |
| 8.0ms | N | @ | inf | ((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (log (- (/ 1 N) -1)) (- (/ 1 N) -1) (/ 1 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 1/2 (- (log (+ N 1)) (log N)) (exp (neg (log N))) (neg (log N)) (log N)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 198 | 1364 |
| 0 | 219 | 1251 |
| 1 | 846 | 1110 |
| 0 | 6965 | 1098 |
| 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))) |
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) N) |
#s(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(literal 1/2 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (neg.f64 (log.f64 N)))) |
(exp.f64 (neg.f64 (log.f64 N))) |
(neg.f64 (log.f64 N)) |
(log.f64 N) |
#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 (log (- (/ 1 N) -1)) #s(hole binary64 (* -1 (log N)))) |
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (+ N (* -1 (log N))))) |
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))))) |
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))) |
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ 1 N))) |
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ (+ 1 N) N))) |
#s(approx (/ 1 N) #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 (exp (neg (log N))) #s(hole binary64 (exp (neg (log N))))) |
#s(approx (neg (log N)) #s(hole binary64 (* -1 (log N)))) |
#s(approx (log N) #s(hole binary64 (log 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 (log (- (/ 1 N) -1)) #s(hole binary64 (/ 1 N))) |
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N))) |
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N))) |
#s(approx (log (- (/ 1 N) -1)) #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) #s(hole binary64 1)) |
#s(approx (- (/ 1 N) -1) #s(hole binary64 (+ 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 (exp (neg (log N))) #s(hole binary64 (exp (neg (* -1 (log (/ 1 N))))))) |
#s(approx (neg (log N)) #s(hole binary64 (log (/ 1 N)))) |
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 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 (log (- (/ 1 N) -1)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
#s(approx (log (- (/ 1 N) -1)) #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)))) |
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))))) |
#s(approx (neg (log N)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -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 (neg.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (neg.f64 N))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))) |
(-.f64 (log.f64 (+.f64 (/.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)))) |
(-.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) 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 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) N)))) |
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (neg.f64 (log.f64 N))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N)) |
(pow.f64 N #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 (neg.f64 N) N)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (/.f64 (+.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (/.f64 (-.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) N) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (/.f64 (+.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))) N) |
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (/.f64 (+.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (/.f64 (-.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (/.f64 (-.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (/.f64 (+.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))))) |
(/.f64 (/.f64 N (neg.f64 N)) (neg.f64 N)) |
(/.f64 (/.f64 N (fabs.f64 N)) (fabs.f64 N)) |
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 N)) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 N) N))) |
(/.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 #s(literal 2 binary64) (*.f64 N N))) |
(/.f64 (neg.f64 (neg.f64 N)) (*.f64 N N)) |
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 N))) |
(/.f64 (neg.f64 N) (*.f64 (neg.f64 N) N)) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N)) |
(/.f64 #s(literal -1 binary64) (neg.f64 N)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N))) |
(/.f64 #s(literal 1 binary64) N) |
(/.f64 N (*.f64 N N)) |
(neg.f64 (/.f64 (neg.f64 N) (*.f64 N N))) |
(neg.f64 (/.f64 N (*.f64 (neg.f64 N) N))) |
(neg.f64 (/.f64 #s(literal -1 binary64) N)) |
(-.f64 (/.f64 (+.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (/.f64 (-.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 (log.f64 N))) |
(+.f64 (/.f64 (+.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)) (/.f64 (+.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) |
N |
(*.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N))) |
(*.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N))) |
(*.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N))) |
(*.f64 (neg.f64 N) (neg.f64 N)) |
(*.f64 (fabs.f64 N) (fabs.f64 N)) |
(*.f64 N N) |
(pow.f64 (neg.f64 N) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 N) #s(literal 2 binary64)) |
(pow.f64 (*.f64 N N) #s(literal 1 binary64)) |
(pow.f64 N #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 N) N)) |
(fabs.f64 (*.f64 N N)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 N))) |
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 N))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)))) |
#s(approx (log (- (/ 1 N) -1)) (/.f64 #s(literal 1 binary64) N)) |
(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 (neg.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (neg.f64 N))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))) |
(-.f64 (log.f64 (+.f64 (/.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)))) |
(-.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) 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 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) N)))) |
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) N)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (neg.f64 (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 (neg.f64 (-.f64 N #s(literal -1 binary64)))) (neg.f64 (neg.f64 N))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (neg.f64 N) N) (*.f64 #s(literal 2 binary64) (neg.f64 N))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 N) N))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 N N) (*.f64 #s(literal 2 binary64) N)) (*.f64 #s(literal 2 binary64) (*.f64 N N))) |
(/.f64 (fma.f64 (neg.f64 N) #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 N) N) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 N) N) #s(literal 2 binary64))) |
(/.f64 (fma.f64 N #s(literal 2 binary64) (*.f64 (*.f64 N N) #s(literal 2 binary64))) (*.f64 (*.f64 N N) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (neg.f64 N) #s(literal 2 binary64))) (*.f64 (neg.f64 N) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 N #s(literal 2 binary64))) (*.f64 N #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 N) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 N))) |
(/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) N)) |
(/.f64 (fma.f64 #s(literal -1 binary64) N (*.f64 (neg.f64 N) N)) (*.f64 (neg.f64 N) N)) |
(/.f64 (+.f64 N (*.f64 N N)) (*.f64 N N)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 (-.f64 #s(literal 1 binary64) N) N)) |
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal 1 binary64)) N)) |
(/.f64 (-.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 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal -1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) N))) |
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (*.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) N)) |
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) N)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))) |
(/.f64 (+.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 (neg.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 N)) |
(/.f64 (-.f64 N #s(literal -1 binary64)) N) |
(neg.f64 (/.f64 (neg.f64 (-.f64 N #s(literal -1 binary64))) N)) |
(neg.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (neg.f64 N))) |
(fma.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) N))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) N)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))) |
(-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) |
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#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 (/ 1 N) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (neg (log N)) (neg.f64 (log.f64 N))) |
#s(approx (log N) (log.f64 N)) |
#s(approx (log (- (/ 1 N) -1)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (log (- (/ 1 N) -1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (log (- (/ 1 N) -1)) (/.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 N) -1)) (/.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 N) -1)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (log (- (/ 1 N) -1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (log (- (/ 1 N) -1)) (/.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 N) -1)) (/.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 N) -1)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (log (- (/ 1 N) -1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (log (- (/ 1 N) -1)) (/.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 N) -1)) (/.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 N) -1) #s(literal 1 binary64)) |
#s(approx (- (/ 1 N) -1) (/.f64 (-.f64 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 (/.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 #s(literal 1 binary64) (/.f64 #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 (/ 1 N) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (neg (log N)) (neg.f64 (log.f64 N))) |
#s(approx (log N) (log.f64 N)) |
#s(approx (log (- (/ 1 N) -1)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N))) |
#s(approx (log (- (/ 1 N) -1)) (/.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 N) -1)) (/.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 N) -1)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N))) |
#s(approx (log (- (/ 1 N) -1)) (/.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 N) -1)) (/.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 N) -1)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N))) |
#s(approx (log (- (/ 1 N) -1)) (/.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 N) -1)) (/.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)) |
#s(approx (/ 1 N) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)))))) |
#s(approx (neg (log N)) (log.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #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 9 555 to 1 581 computations (83.5% saved)
16 alts after pruning (8 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 435 | 1 | 436 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 435 | 16 | 451 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 27.8% | (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) |
| 31.8% | (-.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)))) | |
| ▶ | 95.0% | (log1p.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N))) |
| ✓ | 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)))) |
| ▶ | 95.4% | (log1p.f64 (exp.f64 (neg.f64 (log.f64 N)))) |
| ✓ | 31.0% | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) |
| 90.4% | #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)))) | |
| ✓ | 93.6% | #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)) |
| ▶ | 90.4% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) |
| ✓ | 90.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
| ✓ | 81.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N))) |
| ✓ | 81.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| 90.6% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) | |
| ✓ | 78.1% | #s(approx (- (log (+ N 1)) (log N)) (exp.f64 (neg.f64 (log.f64 N)))) |
Compiled 286 to 213 computations (25.5% saved)
| Inputs |
|---|
(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)) |
N |
#s(literal -1/2 binary64) |
#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) |
(-.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)) |
#s(literal -1 binary64) |
(log.f64 N) |
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N)))) |
(exp.f64 (neg.f64 (log.f64 N))) |
(neg.f64 (log.f64 N)) |
(log1p.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N)) |
(exp.f64 #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 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 (- (log (- N -1)) (log N)) #s(hole binary64 (* -1 (log N)))) |
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (- N (log N)))) |
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N)))) |
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)))) |
#s(approx (log (- N -1)) #s(hole binary64 N)) |
#s(approx (log (- N -1)) #s(hole binary64 (* N (+ 1 (* -1/2 N))))) |
#s(approx (log (- N -1)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))) |
#s(approx (log (- N -1)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2)))))) |
#s(approx (- N -1) #s(hole binary64 1)) |
#s(approx (- N -1) #s(hole binary64 (+ 1 N))) |
#s(approx (log N) #s(hole binary64 (log N))) |
#s(approx (log (+ 1 (exp (neg (log N))))) #s(hole binary64 (log (+ 1 (exp (neg (log N))))))) |
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (log N))))) |
#s(approx (neg (log N)) #s(hole binary64 (* -1 (log N)))) |
#s(approx (log (+ 1 (pow (exp -1) (log N)))) #s(hole binary64 (log (+ 1 (/ 1 N))))) |
#s(approx (pow (exp -1) (log N)) #s(hole binary64 (/ 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 (+ 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 (- (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 (+ 1 (exp (neg (log N))))) #s(hole binary64 (log (+ 1 (exp (neg (* -1 (log (/ 1 N))))))))) |
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (* -1 (log (/ 1 N))))))) |
#s(approx (neg (log N)) #s(hole binary64 (log (/ 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)))) |
#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 (- (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)))))) |
#s(approx (log (+ 1 (exp (neg (log N))))) #s(hole binary64 (log (+ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))))))) |
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))))) |
#s(approx (neg (log N)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) |
#s(approx (log (+ 1 (pow (exp -1) (log N)))) #s(hole binary64 (log (+ 1 (exp (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))))) |
#s(approx (pow (exp -1) (log N)) #s(hole binary64 (exp (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 120.0ms | N | @ | -inf | ((log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) N -1/2 (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (- N -1)) (log N)) (log (- N -1)) (- N -1) -1 (log N) (log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (neg (log N)) (log (+ 1 (pow (exp -1) (log N)))) (pow (exp -1) (log N)) (exp -1)) |
| 89.0ms | N | @ | 0 | ((log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) N -1/2 (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (- N -1)) (log N)) (log (- N -1)) (- N -1) -1 (log N) (log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (neg (log N)) (log (+ 1 (pow (exp -1) (log N)))) (pow (exp -1) (log N)) (exp -1)) |
| 63.0ms | N | @ | inf | ((log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) N -1/2 (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (- N -1)) (log N)) (log (- N -1)) (- N -1) -1 (log N) (log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (neg (log N)) (log (+ 1 (pow (exp -1) (log N)))) (pow (exp -1) (log N)) (exp -1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 268 | 1452 |
| 0 | 292 | 1196 |
| 0 | 1335 | 1160 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(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)) |
N |
#s(literal -1/2 binary64) |
#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) |
(-.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)) |
#s(literal -1 binary64) |
(log.f64 N) |
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N)))) |
(exp.f64 (neg.f64 (log.f64 N))) |
(neg.f64 (log.f64 N)) |
(log1p.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N)) |
(exp.f64 #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 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 (- (log (- N -1)) (log N)) #s(hole binary64 (* -1 (log N)))) |
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (- N (log N)))) |
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N)))) |
#s(approx (- (log (- N -1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)))) |
#s(approx (log (- N -1)) #s(hole binary64 N)) |
#s(approx (log (- N -1)) #s(hole binary64 (* N (+ 1 (* -1/2 N))))) |
#s(approx (log (- N -1)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))) |
#s(approx (log (- N -1)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2)))))) |
#s(approx (- N -1) #s(hole binary64 1)) |
#s(approx (- N -1) #s(hole binary64 (+ 1 N))) |
#s(approx (log N) #s(hole binary64 (log N))) |
#s(approx (log (+ 1 (exp (neg (log N))))) #s(hole binary64 (log (+ 1 (exp (neg (log N))))))) |
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (log N))))) |
#s(approx (neg (log N)) #s(hole binary64 (* -1 (log N)))) |
#s(approx (log (+ 1 (pow (exp -1) (log N)))) #s(hole binary64 (log (+ 1 (/ 1 N))))) |
#s(approx (pow (exp -1) (log N)) #s(hole binary64 (/ 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 (+ 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 (- (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 (+ 1 (exp (neg (log N))))) #s(hole binary64 (log (+ 1 (exp (neg (* -1 (log (/ 1 N))))))))) |
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (* -1 (log (/ 1 N))))))) |
#s(approx (neg (log N)) #s(hole binary64 (log (/ 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)))) |
#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 (- (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)))))) |
#s(approx (log (+ 1 (exp (neg (log N))))) #s(hole binary64 (log (+ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))))))) |
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))))) |
#s(approx (neg (log N)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) |
#s(approx (log (+ 1 (pow (exp -1) (log N)))) #s(hole binary64 (log (+ 1 (exp (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))))) |
#s(approx (pow (exp -1) (log N)) #s(hole binary64 (exp (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))) |
| Outputs |
|---|
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 N #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 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))) |
N |
#s(literal -1/2 binary64) |
#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 N N) #s(literal 1/4 binary64)) (+.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 N #s(literal 1/2 binary64))))) |
(-.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 (neg.f64 N) (neg.f64 N)) |
(*.f64 (fabs.f64 N) (fabs.f64 N)) |
(*.f64 N N) |
(pow.f64 N #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))) |
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
(log.f64 (-.f64 N #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (+.f64 N #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal -1 binary64))))) |
(-.f64 N #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(log.f64 N) |
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N)))) |
(log.f64 (+.f64 (exp.f64 (neg.f64 (log.f64 N))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 N) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 N))) |
(-.f64 (cosh.f64 (log.f64 N)) (sinh.f64 (log.f64 N))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 N))) |
(exp.f64 (neg.f64 (log.f64 N))) |
(+.f64 (cosh.f64 (neg.f64 (log.f64 N))) (sinh.f64 (neg.f64 (log.f64 N)))) |
(*.f64 #s(literal -1 binary64) (log.f64 N)) |
(*.f64 (log.f64 N) #s(literal -1 binary64)) |
(neg.f64 (log.f64 N)) |
(-.f64 #s(literal 0 binary64) (log.f64 N)) |
(log.f64 (/.f64 #s(literal 1 binary64) N)) |
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N)))) |
(log.f64 (+.f64 (exp.f64 (neg.f64 (log.f64 N))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 N) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 N))) |
(-.f64 (cosh.f64 (log.f64 N)) (sinh.f64 (log.f64 N))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 N))) |
(exp.f64 (neg.f64 (log.f64 N))) |
(+.f64 (cosh.f64 (neg.f64 (log.f64 N))) (sinh.f64 (neg.f64 (log.f64 N)))) |
(exp.f64 #s(literal -1 binary64)) |
(+.f64 (cosh.f64 #s(literal -1 binary64)) (sinh.f64 #s(literal -1 binary64))) |
#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 (* (pow N -1/2) (pow N -1/2)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) |
#s(approx 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 (/ (- N 1/2) (* N N)) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) |
#s(approx (/ (- N 1/2) (* N N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) |
#s(approx (- N 1/2) #s(literal -1/2 binary64)) |
#s(approx (- N 1/2) (-.f64 N #s(literal 1/2 binary64))) |
#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 (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 (-.f64 (*.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 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) N #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N)) |
#s(approx (- N -1) #s(literal 1 binary64)) |
#s(approx (- N -1) (+.f64 #s(literal 1 binary64) N)) |
#s(approx (log N) (log.f64 N)) |
#s(approx (log (+ 1 (pow (exp -1) (log N)))) (log.f64 (+.f64 (exp.f64 (neg.f64 (log.f64 N))) #s(literal 1 binary64)))) |
#s(approx (exp (neg (log N))) (exp.f64 (neg.f64 (log.f64 N)))) |
#s(approx (neg (log N)) (neg.f64 (log.f64 N))) |
#s(approx (log (+ 1 (pow (exp -1) (log N)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) |
#s(approx (exp (neg (log N))) (/.f64 #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 (+ 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 (/ (- 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 (- (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 (log (- N -1)) (neg.f64 (neg.f64 (log.f64 N)))) |
#s(approx (log (- N -1)) (+.f64 (neg.f64 (neg.f64 (log.f64 N))) (/.f64 #s(literal 1 binary64) N))) |
#s(approx (log (- N -1)) (+.f64 (neg.f64 (neg.f64 (log.f64 N))) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))) |
#s(approx (log (- N -1)) (-.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 N))) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 N N) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) |
#s(approx (- N -1) N) |
#s(approx (- N -1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)) |
#s(approx (log N) (neg.f64 (neg.f64 (log.f64 N)))) |
#s(approx (log (+ 1 (pow (exp -1) (log N)))) (log.f64 (+.f64 (exp.f64 (neg.f64 (neg.f64 (neg.f64 (log.f64 N))))) #s(literal 1 binary64)))) |
#s(approx (exp (neg (log N))) (exp.f64 (neg.f64 (neg.f64 (neg.f64 (log.f64 N)))))) |
#s(approx (neg (log N)) (neg.f64 (log.f64 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 (* (pow N -1/2) (pow N -1/2)) (/.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 (- (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) (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 (/.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 (log (- N -1)) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64)))) |
#s(approx (log (- N -1)) (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 #s(literal 1 binary64) N)) (log.f64 #s(literal -1 binary64)))) |
#s(approx (log (- N -1)) (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))) (log.f64 #s(literal -1 binary64)))) |
#s(approx (log (- N -1)) (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) 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))) (log.f64 #s(literal -1 binary64)))) |
#s(approx (log N) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64)))) |
#s(approx (log (+ 1 (pow (exp -1) (log N)))) (log.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
#s(approx (exp (neg (log N))) (exp.f64 (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64)))))) |
#s(approx (neg (log N)) (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))))) |
#s(approx (log (+ 1 (pow (exp -1) (log N)))) (log.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
#s(approx (exp (neg (log N))) (exp.f64 (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64)))))) |
Compiled 2 323 to 463 computations (80.1% saved)
17 alts after pruning (5 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 165 | 2 | 167 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 8 | 8 |
| Total | 166 | 17 | 183 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 27.8% | (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) |
| 31.8% | (-.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)))) | |
| ✓ | 95.0% | (log1p.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N))) |
| ✓ | 99.5% | (log1p.f64 (/.f64 N (*.f64 N N))) |
| ✓ | 99.8% | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| 99.1% | (log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 N #s(literal -1/4 binary64))))) | |
| 99.2% | (log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))))) | |
| ✓ | 95.4% | (log1p.f64 (exp.f64 (neg.f64 (log.f64 N)))) |
| ✓ | 31.0% | (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) |
| 90.4% | #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)))) | |
| ✓ | 93.6% | #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)) |
| ✓ | 90.4% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))) |
| ✓ | 90.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
| ✓ | 81.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N))) |
| ✓ | 81.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| 90.6% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) | |
| ✓ | 78.1% | #s(approx (- (log (+ N 1)) (log N)) (exp.f64 (neg.f64 (log.f64 N)))) |
Compiled 451 to 240 computations (46.8% 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 #s(literal 1 binary64) N) #s(literal -1 binary64))) |
(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 (-.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)) |
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (neg.f64 (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)))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N)))) |
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) #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 (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 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N))) |
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))) |
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 N #s(literal -1/4 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 8 to 7 computations (12.5% 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 #s(literal 1 binary64) N) #s(literal -1 binary64))) |
(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 |
|---|
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) |
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) |
2 calls:
| 5.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 2.0ms | N |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 2 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 97.3% | 2 | N |
Compiled 8 to 7 computations (12.5% 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 #s(literal 1 binary64) N) #s(literal -1 binary64))) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) |
2 calls:
| 2.0ms | N |
| 2.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 2 | N |
| 97.2% | 2 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 8 to 7 computations (12.5% 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 |
|---|---|---|
| 90.6% | 1 | N |
| 90.6% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 8 to 7 computations (12.5% 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 |
|---|---|---|
| 90.4% | 1 | N |
| 90.4% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 8 to 7 computations (12.5% saved)
Total -0.1b remaining (-0.9%)
Threshold costs -0.1b (-0.9%)
| 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 |
|---|---|---|
| 81.3% | 1 | N |
| 81.3% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 8 to 7 computations (12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.035952384739971e-6 | 5.937495121344227e-6 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.035952384739971e-6 | 5.937495121344227e-6 |
Compiled 10 to 10 computations (0% saved)
| 1× | fuel |
Compiled 109 to 33 computations (69.7% saved)
Compiled 306 to 134 computations (56.2% saved)
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