
Time bar (total: 8.3s)
| 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)
| 931.0ms | 6 421× | 1 | valid |
| 196.0ms | 1 835× | 0 | valid |
ival-log1p: 342.0ms (37.4% of total)ival-log: 314.0ms (34.4% of total)adjust: 111.0ms (12.1% of total)ival-sub: 70.0ms (7.7% of total)ival->: 33.0ms (3.6% of total)ival-<: 19.0ms (2.1% of total)ival-and: 11.0ms (1.2% of total)exact: 11.0ms (1.2% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 251 | 0 | - | 0 | - | (-.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 | 251 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 251 | 0 |
| - | 0 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 251 | 0 | 0 |
| - | 0 | 0 | 5 |
| number | freq |
|---|---|
| 0 | 5 |
| 1 | 251 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 55.0ms | 410× | 1 | valid |
| 6.0ms | 102× | 0 | valid |
Compiled 65 to 28 computations (56.9% saved)
ival-log: 14.0ms (31.7% of total)ival-log1p: 14.0ms (31.7% of total)adjust: 8.0ms (18.1% of total)ival-sub: 4.0ms (9.1% of total)ival-add: 3.0ms (6.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 18 | 17 |
| 2 | 41 | 16 |
| 3 | 73 | 16 |
| 4 | 121 | 16 |
| 5 | 178 | 16 |
| 6 | 201 | 16 |
| 7 | 212 | 16 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 15 | 7 |
| 2 | 19 | 7 |
| 3 | 25 | 7 |
| 4 | 33 | 7 |
| 5 | 48 | 7 |
| 6 | 80 | 7 |
| 7 | 106 | 7 |
| 8 | 150 | 7 |
| 9 | 165 | 7 |
| 10 | 173 | 7 |
| 0 | 173 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Outputs |
|---|
(-.f64 (log1p.f64 N) (log.f64 N)) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 21.7% | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 N) | |
| cost-diff | 0 | (+.f64 N #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) | |
| cost-diff | 192 | (log.f64 (+.f64 N #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 10 | 18 |
| 1 | 15 | 18 |
| 2 | 19 | 18 |
| 3 | 25 | 18 |
| 4 | 33 | 18 |
| 5 | 48 | 18 |
| 6 | 80 | 18 |
| 7 | 106 | 18 |
| 8 | 150 | 18 |
| 9 | 165 | 18 |
| 10 | 173 | 18 |
| 0 | 173 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 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) |
| Outputs |
|---|
(-.f64 (log1p.f64 N) (log.f64 N)) |
(log1p.f64 N) |
(+.f64 #s(literal 1 binary64) N) |
N |
#s(literal 1 binary64) |
(log.f64 N) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 N #s(literal 1 binary64)) | |
| accuracy | 0 | (log.f64 N) | |
| accuracy | 0.0078125 | (log.f64 (+.f64 N #s(literal 1 binary64))) | |
| accuracy | 50.105194843019206 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 31.0ms | 205× | 1 | valid |
| 3.0ms | 51× | 0 | valid |
Compiled 38 to 14 computations (63.2% saved)
ival-log1p: 11.0ms (43.9% of total)ival-log: 6.0ms (23.9% of total)adjust: 4.0ms (15.9% of total)ival-sub: 2.0ms (8% of total)ival-add: 1.0ms (4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | N | @ | 0 | ((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N)) |
| 21.0ms | N | @ | -inf | ((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N)) |
| 7.0ms | N | @ | inf | ((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 330 |
| 1 | 250 | 302 |
| 2 | 588 | 301 |
| 3 | 1591 | 295 |
| 4 | 4186 | 287 |
| 5 | 6252 | 287 |
| 6 | 7306 | 287 |
| 0 | 8036 | 278 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
N |
(* N (+ 1 (* -1/2 N))) |
(* N (+ 1 (* N (- (* 1/3 N) 1/2)))) |
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2)))) |
(* -1 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
1 |
(+ 1 N) |
(+ 1 N) |
(+ 1 N) |
(log N) |
(log N) |
(log N) |
(log N) |
(* -1 (log (/ 1 N))) |
(+ (* -1 (log (/ 1 N))) (/ 1 N)) |
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))) |
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
N |
(* N (+ 1 (/ 1 N))) |
(* N (+ 1 (/ 1 N))) |
(* N (+ 1 (/ 1 N))) |
(* -1 (log (/ 1 N))) |
(* -1 (log (/ 1 N))) |
(* -1 (log (/ 1 N))) |
(* -1 (log (/ 1 N))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
(/ 1 N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
N |
(* N (+ 1 (/ 1 N))) |
(* N (+ 1 (/ 1 N))) |
(* N (+ 1 (/ 1 N))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
| Outputs |
|---|
N |
(*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) |
(*.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) |
(neg.f64 (log.f64 N)) |
(-.f64 N (log.f64 N)) |
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N) N (-.f64 N (log.f64 N))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) N) |
(+.f64 #s(literal 1 binary64) N) |
(+.f64 #s(literal 1 binary64) N) |
(log.f64 N) |
(log.f64 N) |
(log.f64 N) |
(log.f64 N) |
(log.f64 N) |
(-.f64 (log.f64 N) (/.f64 #s(literal -1 binary64) N)) |
(-.f64 (log.f64 N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)) |
(-.f64 (log.f64 N) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) N)) |
(/.f64 #s(literal 1 binary64) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) 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 -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N) |
N |
(+.f64 #s(literal 1 binary64) N) |
(+.f64 #s(literal 1 binary64) N) |
(+.f64 #s(literal 1 binary64) N) |
(log.f64 N) |
(log.f64 N) |
(log.f64 N) |
(log.f64 N) |
(+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64))) |
(-.f64 (+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)) |
(-.f64 (+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)) |
(-.f64 (+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) N)) |
(/.f64 #s(literal 1 binary64) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) 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 -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N) |
N |
(+.f64 #s(literal 1 binary64) N) |
(+.f64 #s(literal 1 binary64) N) |
(+.f64 #s(literal 1 binary64) N) |
(+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64))) |
(+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64))) |
(+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64))) |
(+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 10 | 15 |
| 1 | 42 | 15 |
| 2 | 269 | 15 |
| 3 | 2627 | 15 |
| 0 | 8846 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (+.f64 N #s(literal 1 binary64))) |
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
(+.f64 N #s(literal 1 binary64)) |
(log.f64 N) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 12 820 to 1 568 computations (87.8% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 454 | 16 | 470 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 455 | 16 | 471 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 23.2% | (fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) |
| 22.5% | (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64))) (log.f64 N) (*.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))) (log.f64 N))) | |
| 21.7% | (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))) | |
| 21.7% | (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) | |
| 21.7% | (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) | |
| 21.7% | (-.f64 (log1p.f64 N) (log.f64 N)) | |
| 21.1% | (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))) | |
| 21.7% | (*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)))) | |
| 21.6% | (*.f64 (pow.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))) | |
| ▶ | 25.1% | (neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))) |
| 24.4% | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) | |
| ▶ | 21.7% | (exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
| 95.8% | #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)) | |
| ▶ | 97.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) |
| 93.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) | |
| ▶ | 85.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
Compiled 944 to 406 computations (57% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log1p.f64 N) | |
| cost-diff | 0 | (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) | |
| cost-diff | 0 | (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) | |
| cost-diff | 448 | (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64)) | |
| cost-diff | 6336 | (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) | |
| cost-diff | 12800 | (exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 N (+.f64 #s(literal 1 binary64) N)) | |
| cost-diff | 0 | (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))) | |
| cost-diff | 704 | (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) N) | |
| cost-diff | 0 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) | |
| cost-diff | 0 | (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N) | |
| cost-diff | 0 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 382 |
| 0 | 84 | 366 |
| 1 | 146 | 363 |
| 2 | 285 | 361 |
| 3 | 848 | 361 |
| 4 | 3097 | 361 |
| 5 | 6223 | 361 |
| 0 | 8277 | 361 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N) |
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) |
#s(literal -1/2 binary64) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) |
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/4 binary64) N) |
#s(literal 1/4 binary64) |
N |
#s(literal 1/3 binary64) |
#s(literal -1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
(/.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
N |
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))) |
(log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) |
(/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) |
(/.f64 N (+.f64 #s(literal 1 binary64) N)) |
N |
(+.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) |
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(log1p.f64 N) |
N |
(log.f64 N) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) |
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) |
(pow.f64 (log1p.f64 N) #s(literal 3 binary64)) |
(log1p.f64 N) |
N |
#s(literal 3 binary64) |
(-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))) |
(pow.f64 (log1p.f64 N) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) |
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
(log.f64 N) |
#s(literal 2 binary64) |
(-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
(neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) |
(/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) |
(pow.f64 (log.f64 N) #s(literal 3 binary64)) |
(fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N) |
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) |
#s(literal -1/2 binary64) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) |
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/4 binary64) N) |
#s(literal 1/4 binary64) |
N |
#s(literal 1/3 binary64) |
#s(literal -1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
(/.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
N |
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) |
(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) |
(/.f64 N (+.f64 #s(literal 1 binary64) N)) |
(/.f64 N (+.f64 #s(literal 1 binary64) N)) |
N |
(+.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(neg.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(log1p.f64 N) |
N |
(log.f64 N) |
#s(literal -1 binary64) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) |
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) |
(pow.f64 (log1p.f64 N) #s(literal 3 binary64)) |
(log1p.f64 N) |
N |
#s(literal 3 binary64) |
(-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))) |
(pow.f64 (log1p.f64 N) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) |
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
(log.f64 N) |
#s(literal 2 binary64) |
(-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) |
(pow.f64 (log.f64 N) #s(literal 3 binary64)) |
(fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.7287065430532609 | (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) | |
| accuracy | 0.754135351663913 | (pow.f64 (log.f64 N) #s(literal 3 binary64)) | |
| accuracy | 0.8675693361065218 | (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) | |
| accuracy | 48.14675475872491 | (fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) | |
| accuracy | 0.0078125 | (log1p.f64 N) | |
| accuracy | 0.1875 | (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) | |
| accuracy | 3.0518064866100434 | (exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64))) | |
| accuracy | 50.105194843019206 | (-.f64 (log1p.f64 N) (log.f64 N)) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) N) | |
| accuracy | 0 | (neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))) | |
| accuracy | 0.00390625 | (/.f64 N (+.f64 #s(literal 1 binary64) N)) | |
| accuracy | 47.94562058603057 | (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) N) | |
| accuracy | 9.006617534726358 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) | |
| accuracy | 0.0546875 | (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) | |
| accuracy | 0.14453125 | (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) | |
| accuracy | 0.296875 | (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) | |
| accuracy | 1.6765638691421487 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) |
| 208.0ms | 203× | 1 | valid |
| 21.0ms | 53× | 0 | valid |
Compiled 817 to 96 computations (88.2% saved)
adjust: 60.0ms (30.7% of total)ival-div: 26.0ms (13.3% of total)ival-log: 25.0ms (12.8% of total)ival-pow: 17.0ms (8.7% of total)ival-sub: 13.0ms (6.7% of total)ival-log1p: 10.0ms (5.1% of total)const: 10.0ms (5.1% of total)ival-pow2: 8.0ms (4.1% of total)ival-mult: 8.0ms (4.1% of total)ival-add: 7.0ms (3.6% of total)ival-exp: 5.0ms (2.6% of total)ival-neg: 4.0ms (2% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) N) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 N (+.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log1p.f64 N) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) N) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (log.f64 N) #s(literal 3 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) N) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | N | @ | -inf | ((- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- (log (+ N 1)) (log N)) (/ 1 N) (/ (/ N (+ 1 N)) 1) (neg (log (/ (/ N (+ 1 N)) 1))) (log (/ (/ N (+ 1 N)) 1)) (/ N (+ 1 N)) (exp (* (log (pow (- (log (+ 1 N)) (log N)) -1)) -1)) (log (pow (- (log (+ 1 N)) (log N)) -1)) (* (log (pow (- (log (+ 1 N)) (log N)) -1)) -1) (pow (- (log (+ 1 N)) (log N)) -1) (+ (* (/ (pow (log (+ 1 N)) 3) (- (pow (log (+ 1 N)) 4) (pow (* (+ (log N) (log (+ 1 N))) (log N)) 2))) (- (pow (log (+ 1 N)) 2) (* (+ (log N) (log (+ 1 N))) (log N)))) (neg (/ (pow (log N) 3) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))))) (/ (pow (log (+ 1 N)) 3) (- (pow (log (+ 1 N)) 4) (pow (* (+ (log N) (log (+ 1 N))) (log N)) 2))) (pow (log (+ 1 N)) 3) (log (+ 1 N)) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (+ 1 N) (- (log (+ 1 N)) (log N)) (pow (log (+ 1 N)) 4) (pow (log N) 3)) |
| 25.0ms | N | @ | inf | ((- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- (log (+ N 1)) (log N)) (/ 1 N) (/ (/ N (+ 1 N)) 1) (neg (log (/ (/ N (+ 1 N)) 1))) (log (/ (/ N (+ 1 N)) 1)) (/ N (+ 1 N)) (exp (* (log (pow (- (log (+ 1 N)) (log N)) -1)) -1)) (log (pow (- (log (+ 1 N)) (log N)) -1)) (* (log (pow (- (log (+ 1 N)) (log N)) -1)) -1) (pow (- (log (+ 1 N)) (log N)) -1) (+ (* (/ (pow (log (+ 1 N)) 3) (- (pow (log (+ 1 N)) 4) (pow (* (+ (log N) (log (+ 1 N))) (log N)) 2))) (- (pow (log (+ 1 N)) 2) (* (+ (log N) (log (+ 1 N))) (log N)))) (neg (/ (pow (log N) 3) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))))) (/ (pow (log (+ 1 N)) 3) (- (pow (log (+ 1 N)) 4) (pow (* (+ (log N) (log (+ 1 N))) (log N)) 2))) (pow (log (+ 1 N)) 3) (log (+ 1 N)) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (+ 1 N) (- (log (+ 1 N)) (log N)) (pow (log (+ 1 N)) 4) (pow (log N) 3)) |
| 13.0ms | N | @ | 0 | ((- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- (log (+ N 1)) (log N)) (/ 1 N) (/ (/ N (+ 1 N)) 1) (neg (log (/ (/ N (+ 1 N)) 1))) (log (/ (/ N (+ 1 N)) 1)) (/ N (+ 1 N)) (exp (* (log (pow (- (log (+ 1 N)) (log N)) -1)) -1)) (log (pow (- (log (+ 1 N)) (log N)) -1)) (* (log (pow (- (log (+ 1 N)) (log N)) -1)) -1) (pow (- (log (+ 1 N)) (log N)) -1) (+ (* (/ (pow (log (+ 1 N)) 3) (- (pow (log (+ 1 N)) 4) (pow (* (+ (log N) (log (+ 1 N))) (log N)) 2))) (- (pow (log (+ 1 N)) 2) (* (+ (log N) (log (+ 1 N))) (log N)))) (neg (/ (pow (log N) 3) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))))) (/ (pow (log (+ 1 N)) 3) (- (pow (log (+ 1 N)) 4) (pow (* (+ (log N) (log (+ 1 N))) (log N)) 2))) (pow (log (+ 1 N)) 3) (log (+ 1 N)) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (+ 1 N) (- (log (+ 1 N)) (log N)) (pow (log (+ 1 N)) 4) (pow (log N) 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 938 | 13600 |
| 1 | 3094 | 11641 |
| 0 | 8518 | 11193 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(/ -1/4 (pow N 4)) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/ -1/4 (pow N 3)) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/ -1/4 (pow N 3)) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(* -1 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(/ 1 N) |
(/ 1 N) |
(/ 1 N) |
(/ 1 N) |
N |
(* N (+ 1 (* -1 N))) |
(* N (+ 1 (* N (- N 1)))) |
(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1)))) |
(* -1 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(log N) |
(+ (log N) (* -1 N)) |
(+ (log N) (* N (- (* 1/2 N) 1))) |
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1))) |
N |
(* N (+ 1 (* -1 N))) |
(* N (+ 1 (* N (- N 1)))) |
(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1)))) |
(* -1 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(log (/ -1 (log N))) |
(+ (log (/ -1 (log N))) (/ N (log N))) |
(+ (log (/ -1 (log N))) (* N (+ (* 1/2 (* N (- (* -2 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))) |
(+ (log (/ -1 (log N))) (* N (+ (* N (+ (* 1/6 (* N (+ (* -6 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))) (* 1/3 (/ 1 (pow (log N) 2))))))) (+ (* 2 (/ 1 (pow (log N) 3))) (* 6 (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))))))) (* 1/2 (- (* -2 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) |
(* -1 (log (/ -1 (log N)))) |
(+ (* -1 (log (/ -1 (log N)))) (* -1 (/ N (log N)))) |
(+ (* -1 (log (/ -1 (log N)))) (* N (- (* -1/2 (* N (- (* -2 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))) |
(+ (* -1 (log (/ -1 (log N)))) (* N (- (* N (+ (* -1/2 (- (* -2 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (* -1/6 (* N (+ (* -6 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))) (* 1/3 (/ 1 (pow (log N) 2))))))) (+ (* 2 (/ 1 (pow (log N) 3))) (* 6 (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))))))))) (/ 1 (log N))))) |
(/ -1 (log N)) |
(- (* -1 (/ N (pow (log N) 2))) (/ 1 (log N))) |
(- (* N (- (* N (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))) (/ 1 (log N))) |
(- (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (* N (- (* 1/2 (/ 1 (pow (log N) 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))) (* 1/3 (/ 1 (pow (log N) 2))))))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))) (/ 1 (log N))) |
(* -1 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* N (- (+ 1/3 (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 2))) (/ 1 (pow (log N) 2)))) (* 1/2 (/ 1 (log N))))) 1/2)))) (log N)) |
(* -1 (/ (pow N 3) (pow (log N) 4))) |
(* (pow N 3) (- (* N (+ (* 3/2 (/ 1 (pow (log N) 4))) (* 2 (/ 1 (pow (log N) 5))))) (/ 1 (pow (log N) 4)))) |
(* (pow N 3) (- (* N (+ (* -1 (* N (+ (* -1 (/ (+ 1 (* -1 (log N))) (pow (log N) 6))) (+ (* 7/4 (/ 1 (pow (log N) 4))) (* 2 (/ (+ (* 3/2 (/ 1 (pow (log N) 4))) (* 2 (/ 1 (pow (log N) 5)))) (log N))))))) (+ (* 3/2 (/ 1 (pow (log N) 4))) (* 2 (/ 1 (pow (log N) 5)))))) (/ 1 (pow (log N) 4)))) |
(* (pow N 3) (- (* N (+ (* 3/2 (/ 1 (pow (log N) 4))) (+ (* 2 (/ 1 (pow (log N) 5))) (* N (- (* N (- (* 15/8 (/ 1 (pow (log N) 4))) (+ (* -2 (/ (+ (* -1 (/ (+ 1 (* -1 (log N))) (pow (log N) 6))) (+ (* 7/4 (/ 1 (pow (log N) 4))) (* 2 (/ (+ (* 3/2 (/ 1 (pow (log N) 4))) (* 2 (/ 1 (pow (log N) 5)))) (log N))))) (log N))) (+ (* -1 (/ (- (* 2/3 (log N)) 1) (pow (log N) 6))) (/ (* (+ 1 (* -1 (log N))) (+ (* 3/2 (/ 1 (pow (log N) 4))) (* 2 (/ 1 (pow (log N) 5))))) (pow (log N) 2)))))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (pow (log N) 6))) (+ (* 7/4 (/ 1 (pow (log N) 4))) (* 2 (/ (+ (* 3/2 (/ 1 (pow (log N) 4))) (* 2 (/ 1 (pow (log N) 5)))) (log N)))))))))) (/ 1 (pow (log N) 4)))) |
(pow N 3) |
(* (pow N 3) (+ 1 (* -3/2 N))) |
(* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2)))) |
(* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2)))) |
N |
(* N (+ 1 (* -1/2 N))) |
(* N (+ 1 (* N (- (* 1/3 N) 1/2)))) |
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2)))) |
(/ 1/4 (pow N 2)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 2)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 2)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 2)) |
(/ 1/4 N) |
(/ (+ 1/4 (* -1/3 N)) N) |
(/ (+ 1/4 (* -1/3 N)) N) |
(/ (+ 1/4 (* -1/3 N)) N) |
1 |
(+ 1 N) |
(+ 1 N) |
(+ 1 N) |
(* -1 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(pow N 4) |
(* (pow N 4) (+ 1 (* -2 N))) |
(* (pow N 4) (+ 1 (* N (- (* 17/6 N) 2)))) |
(* (pow N 4) (+ 1 (* N (- (* N (+ 17/6 (* -7/2 N))) 2)))) |
(pow (log N) 3) |
(pow (log N) 3) |
(pow (log N) 3) |
(pow (log N) 3) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
1 |
(- 1 (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) |
(/ -1/2 N) |
(/ (- (* 1/3 (/ 1 N)) 1/2) N) |
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N) |
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(/ 1 N) |
(/ 1 N) |
(/ 1 N) |
(/ 1 N) |
1 |
(- 1 (/ 1 N)) |
(- (+ 1 (/ 1 (pow N 2))) (/ 1 N)) |
(- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(/ -1 N) |
(/ (- (* 1/2 (/ 1 N)) 1) N) |
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N) |
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N) |
1 |
(- 1 (/ 1 N)) |
(- (+ 1 (/ 1 (pow N 2))) (/ 1 N)) |
(- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(* -1 (log (/ 1 N))) |
(+ (* -1 (log (/ 1 N))) (* 1/2 (/ 1 N))) |
(- (+ (* -1 (log (/ 1 N))) (* 1/2 (/ 1 N))) (/ 5/24 (pow N 2))) |
(- (+ (* -1 (log (/ 1 N))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3))))) (/ 5/24 (pow N 2))) |
(log (/ 1 N)) |
(- (log (/ 1 N)) (* 1/2 (/ 1 N))) |
(- (+ (log (/ 1 N)) (/ 5/24 (pow N 2))) (* 1/2 (/ 1 N))) |
(- (+ (log (/ 1 N)) (/ 5/24 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3))))) |
N |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2)))) |
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2)))) |
(- (* -1 (/ (* (pow (log (/ 1 N)) 3) (- (pow (log (/ 1 N)) 2) (* 2 (pow (log (/ 1 N)) 2)))) (- (pow (log (/ 1 N)) 4) (* 4 (pow (log (/ 1 N)) 4))))) (* -1 (/ (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) |
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(- (+ (* -1 (/ (* (pow (log (/ 1 N)) 3) (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N)))))) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1 (/ (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1 (/ (* (pow (log (/ 1 N)) 3) (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (* N (- (pow (log (/ 1 N)) 4) (* 4 (pow (log (/ 1 N)) 4)))))) (+ (* -1 (/ (* (pow (log (/ 1 N)) 3) (- (+ 1 (log (/ 1 N))) (* 1/2 (log (/ 1 N))))) (* (pow N 2) (- (pow (log (/ 1 N)) 4) (* 4 (pow (log (/ 1 N)) 4)))))) (+ (* -1 (/ (* (pow (log (/ 1 N)) 3) (- (pow (log (/ 1 N)) 2) (* 2 (pow (log (/ 1 N)) 2)))) (- (pow (log (/ 1 N)) 4) (* 4 (pow (log (/ 1 N)) 4))))) (+ (/ (* (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2)))) (- (pow (log (/ 1 N)) 2) (* 2 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (- (pow (log (/ 1 N)) 4) (* 4 (pow (log (/ 1 N)) 4))))) (+ (/ (* (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (* (pow N 2) (- (pow (log (/ 1 N)) 4) (* 4 (pow (log (/ 1 N)) 4))))) (+ (/ (* (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) (- (pow (log (/ 1 N)) 2) (* 2 (pow (log (/ 1 N)) 2)))) (* N (- (pow (log (/ 1 N)) 4) (* 4 (pow (log (/ 1 N)) 4))))) (/ (* (pow (log (/ 1 N)) 3) (pow (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 3))))))))))) (+ (* -1 (/ (* (pow (log (/ 1 N)) 3) (* (- (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (* (pow (log (/ 1 N)) 2) (+ 1 (* 2 (log (/ 1 N)))))) (- (pow (log (/ 1 N)) 2) (* 2 (pow (log (/ 1 N)) 2))))) (* (pow N 2) (pow (- (pow (log (/ 1 N)) 4) (* 4 (pow (log (/ 1 N)) 4))) 2)))) (* -1 (/ (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) |
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(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))) |
(/ -1/3 N) |
(/ (- (* 1/4 (/ 1 N)) 1/3) N) |
(/ (- (* 1/4 (/ 1 N)) 1/3) N) |
(/ (- (* 1/4 (/ 1 N)) 1/3) N) |
-1/3 |
(- (* 1/4 (/ 1 N)) 1/3) |
(- (* 1/4 (/ 1 N)) 1/3) |
(- (* 1/4 (/ 1 N)) 1/3) |
N |
(* N (+ 1 (/ 1 N))) |
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(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(pow (log (/ 1 N)) 4) |
(+ (* -4 (/ (pow (log (/ 1 N)) 3) N)) (pow (log (/ 1 N)) 4)) |
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(* -1 (pow (log (/ 1 N)) 3)) |
(* -1 (pow (log (/ 1 N)) 3)) |
(* -1 (pow (log (/ 1 N)) 3)) |
(* -1 (pow (log (/ 1 N)) 3)) |
(/ 1 N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(/ 1 N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
1 |
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(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)) |
(/ 1 N) |
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(/ 1 N) |
(/ 1 N) |
(/ 1 N) |
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(- 1 (/ 1 N)) |
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(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N))) |
(/ 1 N) |
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(/ -1 N) |
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(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N)) |
1 |
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(/ 1 N) |
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N |
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(pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (- (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (+ 1 (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (pow (- (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) 2)))) N)) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))))) (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (- (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) (pow (- (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) 2))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (- (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) |
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) |
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) |
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
(/ -1/3 N) |
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)) |
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)) |
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)) |
-1/3 |
(- (* 1/4 (/ 1 N)) 1/3) |
(- (* 1/4 (/ 1 N)) 1/3) |
(- (* 1/4 (/ 1 N)) 1/3) |
N |
(* N (+ 1 (/ 1 N))) |
(* N (+ 1 (/ 1 N))) |
(* N (+ 1 (/ 1 N))) |
(/ 1 N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) |
(+ (* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) |
(+ (* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -1 (/ (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) |
(+ (* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* 2 (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) |
| Outputs |
|---|
(neg.f64 (log.f64 N)) |
(-.f64 N (log.f64 N)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 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)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(neg.f64 (log.f64 N)) |
(-.f64 N (log.f64 N)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 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)) |
(/.f64 #s(literal 1 binary64) N) |
(/.f64 #s(literal 1 binary64) N) |
(/.f64 #s(literal 1 binary64) N) |
(/.f64 #s(literal 1 binary64) N) |
N |
(*.f64 (-.f64 #s(literal 1 binary64) N) N) |
(*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) N #s(literal 1 binary64)) N) |
(neg.f64 (log.f64 N)) |
(-.f64 N (log.f64 N)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 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)) |
(log.f64 N) |
(-.f64 (log.f64 N) N) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1 binary64)) N (log.f64 N)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/2 binary64)) N #s(literal -1 binary64)) N (log.f64 N)) |
N |
(*.f64 (-.f64 #s(literal 1 binary64) N) N) |
(*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) N #s(literal 1 binary64)) N) |
(neg.f64 (log.f64 N)) |
(-.f64 N (log.f64 N)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 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)) |
(log.f64 (/.f64 #s(literal -1 binary64) (log.f64 N))) |
(+.f64 (/.f64 N (log.f64 N)) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 N)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) N) (fma.f64 (*.f64 #s(literal -2 binary64) (log.f64 N)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 N))) N (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 N)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) N) (fma.f64 (*.f64 #s(literal -6 binary64) (log.f64 N)) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (log.f64 N)))) (fma.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (log.f64 N)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) N (/.f64 #s(literal 1 binary64) (log.f64 N))) N (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 N)))) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 N)))) |
(-.f64 (/.f64 (neg.f64 N) (log.f64 N)) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 N)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) N) (fma.f64 (*.f64 #s(literal -2 binary64) (log.f64 N)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (log.f64 N))) N (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 N))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) N) (fma.f64 (*.f64 #s(literal -6 binary64) (log.f64 N)) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (log.f64 N)))) (fma.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (log.f64 N)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) N (/.f64 #s(literal -1 binary64) (log.f64 N))) N (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 N))))) |
(/.f64 #s(literal -1 binary64) (log.f64 N)) |
(fma.f64 (/.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) N (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N (/.f64 #s(literal -1 binary64) (log.f64 N))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (log.f64 N)))) N (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) N (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N (/.f64 #s(literal -1 binary64) (log.f64 N))) |
(neg.f64 (log.f64 N)) |
(-.f64 N (log.f64 N)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (log.f64 N))) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))) |
(/.f64 (neg.f64 (pow.f64 N #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 4 binary64))) |
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(*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))) (pow.f64 (-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)) (*.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))))) (-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)) (*.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64))) (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -2/3 binary64) #s(literal 1 binary64))))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))) (pow.f64 (-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)) (*.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) #s(literal 2 binary64)))))) N)) (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)) (*.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)) (*.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))))) #s(literal -3 binary64)) (/.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) #s(literal -4 binary64) (*.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))) (pow.f64 (-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)) (*.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) #s(literal -4 binary64) (*.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)) (*.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))))))) (neg.f64 N))) (/.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) #s(literal -4 binary64) (*.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))) (pow.f64 (-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)) (*.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) #s(literal 2 binary64)))) N)) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) |
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) (/.f64 (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64)) N)) |
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 #s(literal 3 binary64) (neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (neg.f64 N))) N)) |
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64) (/.f64 (-.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 #s(literal 3 binary64) (neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (/.f64 (+.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64))) (fma.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/3 binary64)))) N)) (neg.f64 N))) N)) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)) |
(/.f64 #s(literal -1/3 binary64) N) |
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (neg.f64 N)) |
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (neg.f64 N)) |
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (neg.f64 N)) |
#s(literal -1/3 binary64) |
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) |
N |
(+.f64 #s(literal 1 binary64) N) |
(+.f64 #s(literal 1 binary64) N) |
(+.f64 #s(literal 1 binary64) N) |
(/.f64 #s(literal 1 binary64) N) |
(/.f64 (+.f64 (/.f64 #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)) (neg.f64 N)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)) |
(fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) N) #s(literal 4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))) |
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 4 binary64))) (neg.f64 N))) N)) |
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) N)) (neg.f64 N))) N)) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 247 |
| 0 | 84 | 235 |
| 1 | 379 | 225 |
| 2 | 2714 | 221 |
| 0 | 9392 | 221 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N) |
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
(/.f64 #s(literal 1 binary64) N) |
(/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) |
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))) |
(log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) |
(/.f64 N (+.f64 #s(literal 1 binary64) N)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) |
(*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) |
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) |
(pow.f64 (log1p.f64 N) #s(literal 3 binary64)) |
(log1p.f64 N) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) |
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1 binary64) N) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(pow.f64 (log1p.f64 N) #s(literal 4 binary64)) |
(pow.f64 (log.f64 N) #s(literal 3 binary64)) |
| Outputs |
|---|
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Compiled 86 741 to 7 333 computations (91.5% saved)
35 alts after pruning (33 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 884 | 28 | 1 912 |
| Fresh | 6 | 5 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 893 | 35 | 1 928 |
| Status | Accuracy | Program |
|---|---|---|
| 23.2% | (fma.f64 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) | |
| 23.2% | (fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) | |
| 23.7% | (fma.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (-.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (-.f64 (log1p.f64 N) (/.f64 (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))))) | |
| 23.3% | (fma.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (log1p.f64 N) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) | |
| 23.2% | (fma.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) | |
| 23.1% | (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))) | |
| 23.1% | (/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) | |
| 21.7% | (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) | |
| 21.7% | (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) | |
| 21.7% | (-.f64 (log1p.f64 N) (log.f64 N)) | |
| ▶ | 21.1% | (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N (neg.f64 N)))) |
| ▶ | 19.5% | (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))) |
| 25.1% | (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) | |
| 95.8% | (neg.f64 #s(approx (log (/ (/ N (+ 1 N)) 1)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N))) | |
| 97.3% | (neg.f64 #s(approx (log (/ (/ N (+ 1 N)) 1)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) N)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64))) N))) | |
| 24.4% | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) | |
| 24.4% | (exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal -1 binary64))) #s(literal -1 binary64))) | |
| 93.1% | (exp.f64 (*.f64 (log.f64 #s(approx (pow (- (log (+ 1 N)) (log N)) -1) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))) #s(literal -1 binary64))) | |
| 21.7% | (exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) | |
| 92.7% | (exp.f64 #s(approx (* (log (pow (- (log (+ 1 N)) (log N)) -1)) -1) (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 5/24 binary64) (*.f64 N N)) (log.f64 N)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal 3 binary64)))))) | |
| 85.5% | #s(approx (- (log (+ N 1)) (log N)) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 95.8% | #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)) | |
| ✓ | 97.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) |
| 97.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N)) | |
| 97.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N)) | |
| 95.8% | #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)) | |
| 97.0% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N #s(literal -1 binary64))) (*.f64 N N))) | |
| ▶ | 93.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
| 97.0% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))) N)) | |
| ▶ | 97.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))) |
| ✓ | 85.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| 97.2% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 2 binary64)) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)))) (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)))))) | |
| ▶ | 97.2% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N))) |
| 97.2% | #s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))) | |
| 96.8% | #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))) |
Compiled 2 052 to 1 163 computations (43.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (log.f64 N) (log1p.f64 N)) | |
| cost-diff | 1088 | (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))) | |
| cost-diff | 25920 | (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) | |
| cost-diff | 27328 | (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))) | |
| cost-diff | 0 | (log.f64 (fma.f64 N N (neg.f64 N))) | |
| cost-diff | 0 | (fma.f64 N N #s(literal -1 binary64)) | |
| cost-diff | 0 | (log.f64 (fma.f64 N N #s(literal -1 binary64))) | |
| cost-diff | 0 | (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N (neg.f64 N)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) N) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) | |
| cost-diff | 0 | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N))) | |
| cost-diff | 1408 | (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N)) | |
| cost-diff | 0 | #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) | |
| cost-diff | 0 | (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N) | |
| cost-diff | 0 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) | |
| cost-diff | 0 | (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 436 |
| 0 | 88 | 410 |
| 1 | 145 | 410 |
| 2 | 258 | 402 |
| 3 | 712 | 386 |
| 4 | 2368 | 384 |
| 0 | 9610 | 384 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))) |
#s(literal 1 binary64) |
(/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) |
N |
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) |
#s(literal -1/2 binary64) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) |
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/4 binary64) N) |
#s(literal 1/4 binary64) |
#s(literal 1/3 binary64) |
#s(literal -1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N) |
(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) |
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) |
(/.f64 #s(literal -1/2 binary64) N) |
#s(literal -1/2 binary64) |
N |
#s(literal -1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N))) |
(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N)) |
(/.f64 (/.f64 #s(literal -1/2 binary64) N) N) |
(/.f64 #s(literal -1/2 binary64) N) |
#s(literal -1/2 binary64) |
N |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N) |
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) |
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/4 binary64) N) |
#s(literal 1/4 binary64) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N (neg.f64 N)))) |
(log.f64 (fma.f64 N N #s(literal -1 binary64))) |
(fma.f64 N N #s(literal -1 binary64)) |
N |
#s(literal -1 binary64) |
(log.f64 (fma.f64 N N (neg.f64 N))) |
(fma.f64 N N (neg.f64 N)) |
(neg.f64 N) |
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))) |
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
(log.f64 N) |
N |
(log1p.f64 N) |
(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
(/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N) |
#s(literal 1 binary64) |
(/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) |
N |
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) |
#s(literal -1/2 binary64) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) |
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/4 binary64) N) |
#s(literal 1/4 binary64) |
#s(literal 1/3 binary64) |
#s(literal -1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N) |
(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) |
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) |
(/.f64 #s(literal -1/2 binary64) N) |
#s(literal -1/2 binary64) |
N |
#s(literal -1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N) |
(/.f64 (/.f64 #s(literal -1/2 binary64) N) N) |
(/.f64 #s(literal -1/2 binary64) N) |
#s(literal -1/2 binary64) |
N |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N) |
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) |
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/4 binary64) N) |
#s(literal 1/4 binary64) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N (neg.f64 N)))) |
(log.f64 (fma.f64 N N #s(literal -1 binary64))) |
(fma.f64 N N #s(literal -1 binary64)) |
N |
#s(literal -1 binary64) |
(log.f64 (fma.f64 N N (neg.f64 N))) |
(fma.f64 N N (neg.f64 N)) |
(neg.f64 N) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))) |
(+.f64 (log1p.f64 N) (log.f64 N)) |
(log.f64 N) |
N |
(log1p.f64 N) |
(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
(*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.5270500488422101 | (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) | |
| accuracy | 0.5706825683790941 | (pow.f64 (log.f64 N) #s(literal 2 binary64)) | |
| accuracy | 49.7731226128682 | (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) | |
| accuracy | 50.105194843019206 | (-.f64 (log1p.f64 N) (log.f64 N)) | |
| accuracy | 0 | (neg.f64 N) | |
| accuracy | 0.00390625 | (log.f64 (fma.f64 N N (neg.f64 N))) | |
| accuracy | 0.006191259768442017 | (log.f64 (fma.f64 N N #s(literal -1 binary64))) | |
| accuracy | 50.478051941710405 | (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N (neg.f64 N)))) | |
| accuracy | 0.265625 | (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) | |
| accuracy | 0.28515625 | (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) | |
| accuracy | 0.296875 | (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) | |
| accuracy | 1.6765638691421487 | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N))) | |
| accuracy | 0 | (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) | |
| accuracy | 0.05078125 | (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N) | |
| accuracy | 1.6765638691421487 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) | |
| accuracy | 9.141681054846703 | #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) | |
| accuracy | 0.0625 | (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))) | |
| accuracy | 0.14453125 | (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) | |
| accuracy | 0.296875 | (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) | |
| accuracy | 1.6765638691421487 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))) |
| 207.0ms | 205× | 1 | valid |
| 50.0ms | 50× | 0 | valid |
| 1.0ms | 1× | 2 | valid |
Compiled 838 to 99 computations (88.2% saved)
const: 41.0ms (19.6% of total)adjust: 38.0ms (18.1% of total)ival-log1p: 34.0ms (16.2% of total)ival-div: 32.0ms (15.3% of total)ival-log: 19.0ms (9.1% of total)ival-sub: 16.0ms (7.6% of total)ival-pow2: 15.0ms (7.2% of total)ival-add: 6.0ms (2.9% of total)ival-mult: 6.0ms (2.9% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal -1/2 binary64) N) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N (neg.f64 N)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log.f64 (fma.f64 N N #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 N N #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log.f64 (fma.f64 N N (neg.f64 N))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (log.f64 N) (log1p.f64 N)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 N) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (log.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | N | @ | -inf | ((/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (- (log (+ N 1)) (log N)) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- (/ (/ -1/2 N) N) (/ (- (/ (/ (- (/ 1/4 N) 1/3) N) N) 1) N)) (- (log (+ N 1)) (log N)) (/ (/ -1/2 N) N) (/ -1/2 N) (- (log (+ (* N N) -1)) (log (+ (* N N) (neg N)))) (log (+ (* N N) -1)) (+ (* N N) -1) (log (+ (* N N) (neg N))) (* (/ (+ (log N) (log (+ 1 N))) (- (pow (log N) 2) (pow (log (+ 1 N)) 2))) (/ (- (log (+ 1 N)) (log N)) (/ -1 (- (log (+ 1 N)) (log N))))) (/ (+ (log N) (log (+ 1 N))) (- (pow (log N) 2) (pow (log (+ 1 N)) 2))) (/ (- (log (+ 1 N)) (log N)) (/ -1 (- (log (+ 1 N)) (log N)))) (+ (log N) (log (+ 1 N))) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ (/ (- (/ 1/4 N) 1/3) N) N) (neg N) (- (log (+ 1 N)) (log N)) (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (pow (log N) 2) (pow (log (+ 1 N)) 2)) |
| 13.0ms | N | @ | inf | ((/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (- (log (+ N 1)) (log N)) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- (/ (/ -1/2 N) N) (/ (- (/ (/ (- (/ 1/4 N) 1/3) N) N) 1) N)) (- (log (+ N 1)) (log N)) (/ (/ -1/2 N) N) (/ -1/2 N) (- (log (+ (* N N) -1)) (log (+ (* N N) (neg N)))) (log (+ (* N N) -1)) (+ (* N N) -1) (log (+ (* N N) (neg N))) (* (/ (+ (log N) (log (+ 1 N))) (- (pow (log N) 2) (pow (log (+ 1 N)) 2))) (/ (- (log (+ 1 N)) (log N)) (/ -1 (- (log (+ 1 N)) (log N))))) (/ (+ (log N) (log (+ 1 N))) (- (pow (log N) 2) (pow (log (+ 1 N)) 2))) (/ (- (log (+ 1 N)) (log N)) (/ -1 (- (log (+ 1 N)) (log N)))) (+ (log N) (log (+ 1 N))) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ (/ (- (/ 1/4 N) 1/3) N) N) (neg N) (- (log (+ 1 N)) (log N)) (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (pow (log N) 2) (pow (log (+ 1 N)) 2)) |
| 13.0ms | N | @ | 0 | ((/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (- (log (+ N 1)) (log N)) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- (/ (/ -1/2 N) N) (/ (- (/ (/ (- (/ 1/4 N) 1/3) N) N) 1) N)) (- (log (+ N 1)) (log N)) (/ (/ -1/2 N) N) (/ -1/2 N) (- (log (+ (* N N) -1)) (log (+ (* N N) (neg N)))) (log (+ (* N N) -1)) (+ (* N N) -1) (log (+ (* N N) (neg N))) (* (/ (+ (log N) (log (+ 1 N))) (- (pow (log N) 2) (pow (log (+ 1 N)) 2))) (/ (- (log (+ 1 N)) (log N)) (/ -1 (- (log (+ 1 N)) (log N))))) (/ (+ (log N) (log (+ 1 N))) (- (pow (log N) 2) (pow (log (+ 1 N)) 2))) (/ (- (log (+ 1 N)) (log N)) (/ -1 (- (log (+ 1 N)) (log N)))) (+ (log N) (log (+ 1 N))) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ (/ (- (/ 1/4 N) 1/3) N) N) (neg N) (- (log (+ 1 N)) (log N)) (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (pow (log N) 2) (pow (log (+ 1 N)) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 657 | 5612 |
| 1 | 2057 | 5188 |
| 2 | 7140 | 5179 |
| 0 | 8091 | 4916 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1/4 (pow N 4)) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(* -1 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(* -4 (pow N 4)) |
(* (pow N 4) (- (* -16/3 N) 4)) |
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4)) |
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4)) |
(/ -1/4 (pow N 3)) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(* -1 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(/ -1/4 (pow N 4)) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/ -1/4 (pow N 3)) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/ -1/4 (pow N 3)) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/ -1/4 (pow N 4)) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(* -1 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(/ -1/2 (pow N 2)) |
(/ -1/2 (pow N 2)) |
(/ -1/2 (pow N 2)) |
(/ -1/2 (pow N 2)) |
(/ -1/2 N) |
(/ -1/2 N) |
(/ -1/2 N) |
(/ -1/2 N) |
(* -1 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(log -1) |
(+ (log -1) (* -1 (pow N 2))) |
(+ (log -1) (* (pow N 2) (- (* -1/2 (pow N 2)) 1))) |
(+ (log -1) (* (pow N 2) (- (* (pow N 2) (- (* -1/3 (pow N 2)) 1/2)) 1))) |
-1 |
(- (pow N 2) 1) |
(- (pow N 2) 1) |
(- (pow N 2) 1) |
(+ (log -1) (log N)) |
(+ (log -1) (+ (log N) (* -1 N))) |
(+ (log -1) (+ (log N) (* N (- (* -1/2 N) 1)))) |
(+ (log -1) (+ (log N) (* N (- (* N (- (* -1/3 N) 1/2)) 1)))) |
(* -1 (log N)) |
(+ N (* -1 (log N))) |
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(/ 1 (log N)) |
(+ (/ 1 (log N)) (/ N (pow (log N) 2))) |
(+ (* N (+ (* N (- (/ 1 (pow (log N) 3)) (* 1/2 (/ 1 (pow (log N) 2))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N))) |
(+ (* N (+ (* N (- (+ (* N (- (+ (* 1/3 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 4))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 3))) (* 1/2 (/ 1 (pow (log N) 2))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N))) |
(* -1 (pow (log N) 2)) |
(+ (* -1 (pow (log N) 2)) (* 2 (* N (log N)))) |
(+ (* -1 (pow (log N) 2)) (* N (+ (* -1 (* N (+ 1 (log N)))) (* 2 (log N))))) |
(+ (* -1 (pow (log N) 2)) (* N (+ (* 2 (log N)) (* N (+ (* -1 (* N (- (* -2/3 (log N)) 1))) (* -1 (+ 1 (log N)))))))) |
(log N) |
(+ N (log N)) |
(+ (log N) (* N (+ 1 (* -1/2 N)))) |
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(/ 1/4 (pow N 2)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 2)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 2)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 2)) |
(/ 1/4 N) |
(/ (+ 1/4 (* -1/3 N)) N) |
(/ (+ 1/4 (* -1/3 N)) N) |
(/ (+ 1/4 (* -1/3 N)) N) |
(/ 1/4 (pow N 3)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 3)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 3)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 3)) |
(* -1 N) |
(* -1 N) |
(* -1 N) |
(* -1 N) |
(* -1 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(pow (log N) 2) |
(+ (* -1 (pow N 2)) (pow (log N) 2)) |
(+ (* (pow N 2) (- N 1)) (pow (log N) 2)) |
(+ (* (pow N 2) (- (* N (+ 1 (* -11/12 N))) 1)) (pow (log N) 2)) |
(pow (log N) 2) |
(pow (log N) 2) |
(pow (log N) 2) |
(pow (log N) 2) |
(pow N 2) |
(* (pow N 2) (+ 1 (* -1 N))) |
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1)))) |
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1)))) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
N |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2)))) |
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2)))) |
1 |
(- 1 (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
1 |
(- 1 (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) |
(/ -1/2 N) |
(/ (- (* 1/3 (/ 1 N)) 1/2) N) |
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N) |
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(/ -1/2 (pow N 2)) |
(/ -1/2 (pow N 2)) |
(/ -1/2 (pow N 2)) |
(/ -1/2 (pow N 2)) |
(/ -1/2 N) |
(/ -1/2 N) |
(/ -1/2 N) |
(/ -1/2 N) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(* -2 (log (/ 1 N))) |
(- (* -2 (log (/ 1 N))) (/ 1 (pow N 2))) |
(+ (* -2 (log (/ 1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow N 2)))) (pow N 2)))) |
(- (+ (* -2 (log (/ 1 N))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow N 2)))) (pow N 4)))) (/ 1 (pow N 2))) |
(pow N 2) |
(* (pow N 2) (- 1 (/ 1 (pow N 2)))) |
(* (pow N 2) (- 1 (/ 1 (pow N 2)))) |
(* (pow N 2) (- 1 (/ 1 (pow N 2)))) |
(* -2 (log (/ 1 N))) |
(- (* -2 (log (/ 1 N))) (/ 1 N)) |
(+ (* -2 (log (/ 1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))) |
(- (+ (* -2 (log (/ 1 N))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 N))) (pow N 2)))) (/ 1 N)) |
(/ 1 N) |
(/ (+ 1 (* -1 (/ (- (* 1/2 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N))))) N))) N) |
(/ (+ 1 (+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N))))) N)) (* -1 (/ (- (* 1/2 (/ (- (* -11/6 (log (/ 1 N))) 3/2) (log (/ 1 N)))) (+ (* -1/2 (/ (* (+ 1 (log (/ 1 N))) (- (* 1/2 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))))) (log (/ 1 N)))) (* -1/2 (/ (- 1 (* -2/3 (log (/ 1 N)))) (log (/ 1 N)))))) (pow N 2))))) N) |
(/ (+ 1 (+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N))))) N)) (+ (* -1 (/ (- (* 1/2 (/ (+ 7/4 (* 5/3 (log (/ 1 N)))) (log (/ 1 N)))) (+ (* -1/2 (/ (* (+ 1 (log (/ 1 N))) (- (* 1/2 (/ (- (* -11/6 (log (/ 1 N))) 3/2) (log (/ 1 N)))) (+ (* -1/2 (/ (* (+ 1 (log (/ 1 N))) (- (* 1/2 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))))) (log (/ 1 N)))) (* -1/2 (/ (- 1 (* -2/3 (log (/ 1 N)))) (log (/ 1 N))))))) (log (/ 1 N)))) (+ (* 1/2 (/ (* (- 1 (* -2/3 (log (/ 1 N)))) (- (* 1/2 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))))) (log (/ 1 N)))) (* 1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (log (/ 1 N))))))) (pow N 3))) (* -1 (/ (- (* 1/2 (/ (- (* -11/6 (log (/ 1 N))) 3/2) (log (/ 1 N)))) (+ (* -1/2 (/ (* (+ 1 (log (/ 1 N))) (- (* 1/2 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))))) (log (/ 1 N)))) (* -1/2 (/ (- 1 (* -2/3 (log (/ 1 N)))) (log (/ 1 N)))))) (pow N 2)))))) N) |
(* -1 N) |
(* N (- (/ 1/2 (* N (log (/ 1 N)))) (+ 1 (* 1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N)))))))) |
(* N (- (+ (* -1 (/ (+ (* -1/2 (/ (* (+ 1 (log (/ 1 N))) (- (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))))) (log (/ 1 N)))) (+ (* -1/2 (/ (- 1 (* -2/3 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N)))))) (pow N 2))) (/ 1/2 (* N (log (/ 1 N))))) (+ 1 (* 1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N)))))))) |
(* N (- (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N))))) (+ 1 (+ (* -1/2 (/ (* (+ 1 (log (/ 1 N))) (- (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- 1 (* -2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/2 (/ (* (+ 1 (log (/ 1 N))) (+ (* -1/2 (/ (* (+ 1 (log (/ 1 N))) (- (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))))) (log (/ 1 N)))) (+ (* -1/2 (/ (- 1 (* -2/3 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N))))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/2 (/ (* (- 1 (* -2/3 (log (/ 1 N)))) (- (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))))))) |
(/ -1 (pow N 2)) |
(/ (- (/ 1 N) 1) (pow N 2)) |
(/ (- (/ 1 N) (+ 1 (/ 11/12 (pow N 2)))) (pow N 2)) |
(/ (- (+ (/ 1 N) (* 5/6 (/ 1 (pow N 3)))) (+ 1 (/ 11/12 (pow N 2)))) (pow N 2)) |
(* -2 (log (/ 1 N))) |
(+ (* -2 (log (/ 1 N))) (/ 1 N)) |
(- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))) |
(- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))) |
(/ -1/3 N) |
(/ (- (* 1/4 (/ 1 N)) 1/3) N) |
(/ (- (* 1/4 (/ 1 N)) 1/3) N) |
(/ (- (* 1/4 (/ 1 N)) 1/3) N) |
-1/3 |
(- (* 1/4 (/ 1 N)) 1/3) |
(- (* 1/4 (/ 1 N)) 1/3) |
(- (* 1/4 (/ 1 N)) 1/3) |
(/ -1/3 (pow N 2)) |
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2)) |
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2)) |
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2)) |
(* -1 N) |
(* -1 N) |
(* -1 N) |
(* -1 N) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(* 2 (/ (log (/ 1 N)) N)) |
(/ (- (* -1 (/ (+ 1 (log (/ 1 N))) N)) (* -2 (log (/ 1 N)))) N) |
(/ (- (/ 1 (pow N 2)) (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N))))) N) |
(/ (- (+ (* -1 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (pow N 3))) (/ 1 (pow N 2))) (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N))))) N) |
(pow (log (/ 1 N)) 2) |
(pow (log (/ 1 N)) 2) |
(pow (log (/ 1 N)) 2) |
(pow (log (/ 1 N)) 2) |
(pow (log (/ 1 N)) 2) |
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2)) |
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2)))) |
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3))) |
(/ 1 N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(/ 1 N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
N |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1))) |
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1))) |
1 |
(- 1 (* 1/2 (/ 1 N))) |
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(/ 1 N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(/ 1 N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
1 |
(- 1 (* 1/2 (/ 1 N))) |
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(/ -1/2 N) |
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)) |
(/ 1 N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(/ 1 N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(/ -1/2 (pow N 2)) |
(/ -1/2 (pow N 2)) |
(/ -1/2 (pow N 2)) |
(/ -1/2 (pow N 2)) |
(/ -1/2 N) |
(/ -1/2 N) |
(/ -1/2 N) |
(/ -1/2 N) |
(/ 1 N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(* -2 (log (/ -1 N))) |
(- (* -2 (log (/ -1 N))) (/ 1 (pow N 2))) |
(+ (* -2 (log (/ -1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow N 2)))) (pow N 2)))) |
(- (+ (* -2 (log (/ -1 N))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow N 2)))) (pow N 4)))) (/ 1 (pow N 2))) |
(pow N 2) |
(* (pow N 2) (- 1 (/ 1 (pow N 2)))) |
(* (pow N 2) (- 1 (/ 1 (pow N 2)))) |
(* (pow N 2) (- 1 (/ 1 (pow N 2)))) |
(* -2 (log (/ -1 N))) |
(- (* -2 (log (/ -1 N))) (/ 1 N)) |
(+ (* -2 (log (/ -1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))) |
(+ (* -2 (log (/ -1 N))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))) |
(* 1/2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (* N (+ (log -1) (* -1 (log (/ -1 N))))))) |
(* -1 (/ (- (+ (* -1/2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* 1/2 (/ (- (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 1) (* N (+ (log -1) (* -1 (log (/ -1 N)))))))) (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) N)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* 1/2 (/ (- (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 1) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* 1/2 (/ (- (* 11/12 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) 3/2) (* N (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* 1/2 (/ (- (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 1) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* N (+ (log -1) (* -1 (log (/ -1 N))))))) (* -1/4 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (* -1/2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (log -1) (* -1 (log (/ -1 N))))))) N)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ (- (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 1) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* -1 (/ (- (+ (* -1 (- (* 1/2 (/ (- (* 11/12 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) 3/2) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* 1/2 (/ (- (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 1) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/4 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (* 1/2 (/ (- (* 5/6 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) 7/4) (* N (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* 1/2 (/ (- (* 11/12 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) 3/2) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* 1/2 (/ (- (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 1) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/4 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (* N (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/2 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* 1/2 (/ (- (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 1) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* N (+ (log -1) (* -1 (log (/ -1 N))))))) (* -1/4 (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))))) N))) N)) (* -1/2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (log -1) (* -1 (log (/ -1 N))))))) N)) |
(* -1/2 (/ (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (+ (log -1) (* -1 (log (/ -1 N)))))) |
(* -1 (* N (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* 1/2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (log -1) (* -1 (log (/ -1 N)))))) (/ 1/2 (* N (+ (log -1) (* -1 (log (/ -1 N)))))))))) |
(* -1 (* N (+ (* -1 (/ (- (+ (* -1/4 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* 1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (* N (+ (log -1) (* -1 (log (/ -1 N))))))) (/ 1/4 (* N (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* 1/2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (log -1) (* -1 (log (/ -1 N))))))))) |
(* -1 (* N (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* 1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/4 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))) (* 1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (* N (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* 1/2 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (* N (+ (log -1) (* -1 (log (/ -1 N))))))) (/ 1/6 (* N (+ (log -1) (* -1 (log (/ -1 N))))))))) (+ (* -1/4 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))) (* 1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* 1/2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (log -1) (* -1 (log (/ -1 N))))))))) |
(/ -1 (pow N 2)) |
(/ (- (/ 1 N) 1) (pow N 2)) |
(/ (- (* -1 (/ (- (* 11/12 (/ 1 N)) 1) N)) 1) (pow N 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (* 5/6 (/ 1 N)) 11/12) N)) 1) N)) 1) (pow N 2)) |
(+ (* -2 (log (/ -1 N))) (* 2 (log -1))) |
(+ (* -2 (log (/ -1 N))) (+ (* 2 (log -1)) (/ 1 N))) |
(+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) (* 2 (log -1)))) |
(+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) (* 2 (log -1)))) |
(/ -1/3 N) |
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)) |
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)) |
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)) |
-1/3 |
(- (* 1/4 (/ 1 N)) 1/3) |
(- (* 1/4 (/ 1 N)) 1/3) |
(- (* 1/4 (/ 1 N)) 1/3) |
(/ -1/3 (pow N 2)) |
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2)) |
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2)) |
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2)) |
(* -1 N) |
(* -1 N) |
(* -1 N) |
(* -1 N) |
(/ 1 N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (/ 1 N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (/ 1 N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (* 11/12 (/ 1 N))) (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) |
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
| Outputs |
|---|
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(neg.f64 (log.f64 N)) |
(-.f64 N (log.f64 N)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))) |
(*.f64 #s(literal -4 binary64) (pow.f64 N #s(literal 4 binary64))) |
(*.f64 (fma.f64 #s(literal -16/3 binary64) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 8/9 binary64) N #s(literal -16/3 binary64)) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -112/27 binary64) N #s(literal 8/9 binary64)) N #s(literal -16/3 binary64)) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(neg.f64 (log.f64 N)) |
(-.f64 N (log.f64 N)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(neg.f64 (log.f64 N)) |
(-.f64 N (log.f64 N)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 N N)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 N N)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 N N)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 N N)) |
(/.f64 #s(literal -1/2 binary64) N) |
(/.f64 #s(literal -1/2 binary64) N) |
(/.f64 #s(literal -1/2 binary64) N) |
(/.f64 #s(literal -1/2 binary64) N) |
(neg.f64 (log.f64 N)) |
(-.f64 N (log.f64 N)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))) |
(log.f64 #s(literal -1 binary64)) |
(fma.f64 (neg.f64 N) N (log.f64 #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 N N) #s(literal -1/2 binary64) #s(literal -1 binary64)) N) N (log.f64 #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 N N) #s(literal -1/2 binary64)) (*.f64 N N) #s(literal -1 binary64)) N) N (log.f64 #s(literal -1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 N N #s(literal -1 binary64)) |
(fma.f64 N N #s(literal -1 binary64)) |
(fma.f64 N N #s(literal -1 binary64)) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) |
(+.f64 (-.f64 (log.f64 N) N) (log.f64 #s(literal -1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal -1 binary64)) N (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal -1 binary64)) N (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N))) |
(neg.f64 (log.f64 N)) |
(-.f64 N (log.f64 N)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))) |
(/.f64 #s(literal 1 binary64) (log.f64 N)) |
(+.f64 (/.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 N))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N (/.f64 #s(literal 1 binary64) (log.f64 N))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) N (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) N (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N (/.f64 #s(literal 1 binary64) (log.f64 N))) |
(neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) N) (log.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (log.f64 N)) N (*.f64 #s(literal 2 binary64) (log.f64 N))) N (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (log.f64 N) #s(literal -1 binary64)) N (+.f64 (log.f64 N) #s(literal 1 binary64)))) N (*.f64 #s(literal 2 binary64) (log.f64 N))) N (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) |
(log.f64 N) |
(+.f64 (log.f64 N) N) |
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(fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) N) #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N)) N)) |
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64)) N)) (neg.f64 N))) N)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 336 |
| 0 | 88 | 314 |
| 1 | 410 | 279 |
| 2 | 3519 | 274 |
| 0 | 8294 | 274 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))) |
(/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) |
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N) |
(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) |
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) |
(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) N) N) |
(/.f64 #s(literal -1/2 binary64) N) |
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N (neg.f64 N)))) |
(log.f64 (fma.f64 N N #s(literal -1 binary64))) |
(fma.f64 N N #s(literal -1 binary64)) |
(log.f64 (fma.f64 N N (neg.f64 N))) |
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))) |
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) |
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) |
(neg.f64 N) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
| Outputs |
|---|
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Compiled 63 945 to 5 388 computations (91.6% saved)
32 alts after pruning (29 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 748 | 15 | 1 763 |
| Fresh | 14 | 14 | 28 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 1 | 2 |
| Total | 1 766 | 32 | 1 798 |
| Status | Accuracy | Program |
|---|---|---|
| 23.2% | (fma.f64 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) | |
| 23.2% | (fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) | |
| 23.2% | (fma.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) | |
| ▶ | 23.1% | (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))) |
| 23.1% | (/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) | |
| 21.7% | (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) | |
| 21.7% | (-.f64 (log1p.f64 N) (log.f64 N)) | |
| ✓ | 21.1% | (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N (neg.f64 N)))) |
| 19.3% | (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (fma.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (log.f64 N))))) | |
| 19.5% | (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) #s(literal -1 binary64))) | |
| 19.2% | (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))))) | |
| 20.1% | (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))) | |
| ▶ | 20.1% | (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64))))))) |
| 18.0% | (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N))))) | |
| 19.5% | (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))) | |
| 25.1% | (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) | |
| ▶ | 24.4% | (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) |
| 24.4% | (exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal -1 binary64))) #s(literal -1 binary64))) | |
| 93.1% | (exp.f64 (*.f64 (log.f64 #s(approx (pow (- (log (+ 1 N)) (log N)) -1) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))) #s(literal -1 binary64))) | |
| 21.7% | (exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) | |
| 95.8% | #s(approx (- (log (+ (* N N) -1)) (log (+ (* N N) (neg N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)) | |
| 97.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N)) | |
| 95.8% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)) | |
| 92.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N))) | |
| ✓ | 93.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
| 96.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (*.f64 (/.f64 N (/.f64 #s(literal -1/2 binary64) N)) (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 N (/.f64 #s(literal -1/2 binary64) N)) N))) | |
| ▶ | 93.8% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)))) |
| ▶ | 97.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))))) |
| 96.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) N)))) | |
| ✓ | 85.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| 97.2% | #s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal -1 binary64) N) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))) | |
| 96.8% | #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))) |
Compiled 1 910 to 1 102 computations (42.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1088 | (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64)))))) | |
| cost-diff | 6080 | (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64))) | |
| cost-diff | 25920 | (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) | |
| cost-diff | 27328 | (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64))))))) | |
| cost-diff | 0 | (neg.f64 (log.f64 N)) | |
| cost-diff | 0 | (log1p.f64 N) | |
| cost-diff | 0 | (sqrt.f64 (log1p.f64 N)) | |
| cost-diff | 8000 | (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))) | |
| cost-diff | -5568 | (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) | |
| cost-diff | 0 | (+.f64 N #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (+.f64 N #s(literal 1 binary64)) N) | |
| cost-diff | 0 | #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))) | |
| cost-diff | 0 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)))) | |
| cost-diff | 896 | (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))) | |
| cost-diff | 0 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))))) | |
| cost-diff | 192 | (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) | |
| cost-diff | 1152 | (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 441 |
| 0 | 93 | 402 |
| 1 | 164 | 398 |
| 2 | 319 | 377 |
| 3 | 789 | 361 |
| 4 | 2737 | 351 |
| 5 | 7455 | 351 |
| 0 | 8122 | 341 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))) |
#s(literal 1 binary64) |
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) |
(-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) |
#s(literal 1/12 binary64) |
(/.f64 #s(literal 1/24 binary64) N) |
#s(literal 1/24 binary64) |
N |
#s(literal -1 binary64) |
(neg.f64 N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))) |
#s(literal 1 binary64) |
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N) |
(/.f64 #s(literal 1/2 binary64) N) |
#s(literal 1/2 binary64) |
N |
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) |
(/.f64 (+.f64 N #s(literal 1 binary64)) N) |
(+.f64 N #s(literal 1 binary64)) |
N |
#s(literal 1 binary64) |
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))) |
(sqrt.f64 (log1p.f64 N)) |
(log1p.f64 N) |
N |
(neg.f64 (log.f64 N)) |
(log.f64 N) |
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64))))))) |
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
(log.f64 N) |
N |
(log1p.f64 N) |
(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
(/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64)))))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64))))) |
#s(literal -1 binary64) |
(log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64)))) |
(*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64))) |
(pow.f64 N #s(literal -1 binary64)) |
(+.f64 N #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N))) |
#s(literal 1 binary64) |
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) |
(+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) |
(-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) |
#s(literal 1/12 binary64) |
(/.f64 #s(literal 1/24 binary64) N) |
#s(literal 1/24 binary64) |
N |
#s(literal -1 binary64) |
(neg.f64 N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 N #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 N #s(literal -1/2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 N #s(literal -1/2 binary64))) |
(-.f64 N #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) N) |
#s(literal 1/2 binary64) |
N |
(log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) N) N) |
(+.f64 #s(literal 1 binary64) N) |
N |
#s(literal 1 binary64) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(sqrt.f64 (log1p.f64 N)) |
(log1p.f64 N) |
N |
(neg.f64 (log.f64 N)) |
(log.f64 N) |
(log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 N) (log1p.f64 N))) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
(log.f64 N) |
N |
(log1p.f64 N) |
(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
(*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(/.f64 #s(literal -1 binary64) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) |
#s(literal -1 binary64) |
(log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) N) N) |
(pow.f64 N #s(literal -1 binary64)) |
(+.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.5605850586106521 | (pow.f64 (log.f64 N) #s(literal 2 binary64)) | |
| accuracy | 48.21724989172896 | (log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64)))) | |
| accuracy | 49.52729773706648 | (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) | |
| accuracy | 49.86331190405408 | (-.f64 (log1p.f64 N) (log.f64 N)) | |
| accuracy | 0 | (log.f64 N) | |
| accuracy | 0.0078125 | (log1p.f64 N) | |
| accuracy | 0.09765625 | (sqrt.f64 (log1p.f64 N)) | |
| accuracy | 48.899458271725 | (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))) | |
| accuracy | 0 | (+.f64 N #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (/.f64 (+.f64 N #s(literal 1 binary64)) N) | |
| accuracy | 48.21724989172896 | (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) | |
| accuracy | 0 | (/.f64 #s(literal 1/2 binary64) N) | |
| accuracy | 0.0625 | (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))) | |
| accuracy | 1.494175029596092 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)))) | |
| accuracy | 3.7867334044423897 | #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)) | |
| accuracy | 0.28125 | (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) | |
| accuracy | 0.36328125 | (/.f64 #s(literal 1/24 binary64) N) | |
| accuracy | 1.485891199098502 | #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) | |
| accuracy | 1.494175029596092 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))))) |
| 214.0ms | 204× | 1 | valid |
| 23.0ms | 50× | 0 | valid |
| 3.0ms | 2× | 5 | exit |
Compiled 807 to 112 computations (86.1% saved)
ival-div: 33.0ms (16.6% of total)const: 31.0ms (15.6% of total)ival-log: 28.0ms (14.1% of total)adjust: 19.0ms (9.6% of total)ival-pow: 17.0ms (8.5% of total)ival-mult: 17.0ms (8.5% of total)ival-sub: 16.0ms (8% of total)ival-log1p: 12.0ms (6% of total)ival-add: 9.0ms (4.5% of total)ival-pow2: 8.0ms (4% of total)ival-sqrt: 3.0ms (1.5% of total)ival-neg: 3.0ms (1.5% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (+.f64 N #s(literal 1 binary64)) N) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sqrt.f64 (log1p.f64 N)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log1p.f64 N) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 (log.f64 N)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64))))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64)))))) #<representation binary64>) () ()) |
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#s(alt #<batchref> (patch (/.f64 #s(literal 1/24 binary64) N) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) N) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (log.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | N | @ | -inf | ((* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (+ (* (/ 1/2 N) N) N) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ (+ N 1) N) (+ N 1) (log (/ (+ N 1) N)) (+ (* (sqrt (log (+ 1 N))) (sqrt (log (+ 1 N)))) (neg (log N))) (sqrt (log (+ 1 N))) (log (+ 1 N)) (neg (log N)) (* (/ (+ (log N) (log (+ 1 N))) (- (pow (log N) 2) (pow (log (+ 1 N)) 2))) (/ (- (log (+ 1 N)) (log N)) (/ -1 (log (* (pow N -1) (+ N 1)))))) (/ (+ (log N) (log (+ 1 N))) (- (pow (log N) 2) (pow (log (+ 1 N)) 2))) (* (pow N -1) (+ N 1)) (/ (- (log (+ 1 N)) (log N)) (/ -1 (log (* (pow N -1) (+ N 1))))) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ 1/24 N) (/ (- 1/12 (/ 1/24 N)) N) (/ 1/2 N) (log N) (- (log (+ 1 N)) (log N)) (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (* (pow N -1) (+ N 1))) (pow (log N) 2)) |
| 13.0ms | N | @ | inf | ((* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (+ (* (/ 1/2 N) N) N) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ (+ N 1) N) (+ N 1) (log (/ (+ N 1) N)) (+ (* (sqrt (log (+ 1 N))) (sqrt (log (+ 1 N)))) (neg (log N))) (sqrt (log (+ 1 N))) (log (+ 1 N)) (neg (log N)) (* (/ (+ (log N) (log (+ 1 N))) (- (pow (log N) 2) (pow (log (+ 1 N)) 2))) (/ (- (log (+ 1 N)) (log N)) (/ -1 (log (* (pow N -1) (+ N 1)))))) (/ (+ (log N) (log (+ 1 N))) (- (pow (log N) 2) (pow (log (+ 1 N)) 2))) (* (pow N -1) (+ N 1)) (/ (- (log (+ 1 N)) (log N)) (/ -1 (log (* (pow N -1) (+ N 1))))) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ 1/24 N) (/ (- 1/12 (/ 1/24 N)) N) (/ 1/2 N) (log N) (- (log (+ 1 N)) (log N)) (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (* (pow N -1) (+ N 1))) (pow (log N) 2)) |
| 13.0ms | N | @ | 0 | ((* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (+ (* (/ 1/2 N) N) N) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ (+ N 1) N) (+ N 1) (log (/ (+ N 1) N)) (+ (* (sqrt (log (+ 1 N))) (sqrt (log (+ 1 N)))) (neg (log N))) (sqrt (log (+ 1 N))) (log (+ 1 N)) (neg (log N)) (* (/ (+ (log N) (log (+ 1 N))) (- (pow (log N) 2) (pow (log (+ 1 N)) 2))) (/ (- (log (+ 1 N)) (log N)) (/ -1 (log (* (pow N -1) (+ N 1)))))) (/ (+ (log N) (log (+ 1 N))) (- (pow (log N) 2) (pow (log (+ 1 N)) 2))) (* (pow N -1) (+ N 1)) (/ (- (log (+ 1 N)) (log N)) (/ -1 (log (* (pow N -1) (+ N 1))))) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ 1/24 N) (/ (- 1/12 (/ 1/24 N)) N) (/ 1/2 N) (log N) (- (log (+ 1 N)) (log N)) (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (* (pow N -1) (+ N 1))) (pow (log N) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 716 | 5862 |
| 1 | 2327 | 5139 |
| 0 | 8338 | 4948 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/24 (pow N 2)) |
(/ (+ 1/24 (* -1/12 N)) (pow N 2)) |
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2)) |
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2)) |
(/ -1/24 (pow N 3)) |
(/ (- (* 1/12 N) 1/24) (pow N 3)) |
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3)) |
(/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 3)) |
(* -1 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(/ -1/4 (pow N 4)) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
1/2 |
(+ 1/2 N) |
(+ 1/2 N) |
(+ 1/2 N) |
(* -1 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(/ -1/4 (pow N 4)) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(* -4 (pow N 4)) |
(* (pow N 4) (- (* -16/3 N) 4)) |
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4)) |
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4)) |
(/ 1 N) |
(/ (+ 1 N) N) |
(/ (+ 1 N) N) |
(/ (+ 1 N) N) |
1 |
(+ 1 N) |
(+ 1 N) |
(+ 1 N) |
(* -1 (log N)) |
(+ N (* -1 (log N))) |
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(* -1 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(sqrt N) |
(+ (sqrt N) (* -1/4 (sqrt (pow N 3)))) |
(+ (sqrt N) (* (pow N 2) (+ (* -1/4 (sqrt (/ 1 N))) (* 1/6 (sqrt N))))) |
(+ (sqrt N) (* (pow N 2) (+ (* -1/4 (sqrt (/ 1 N))) (* N (+ (* -1/2 (* (sqrt N) (+ 1/4 (* 1/16 (/ 1 N))))) (* 1/6 (sqrt (/ 1 N)))))))) |
N |
(* N (+ 1 (* -1/2 N))) |
(* N (+ 1 (* N (- (* 1/3 N) 1/2)))) |
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2)))) |
(* -1 (log N)) |
(* -1 (log N)) |
(* -1 (log N)) |
(* -1 (log N)) |
(* -1 (log N)) |
(+ (* -1 (log N)) (* -1 (* N (- (* -1 (/ (+ (log N) (* -1 (log N))) (log N))) 1)))) |
(+ (* -1 (log N)) (* N (+ (* -1 (* N (+ 1/2 (+ (* -1 (/ (+ 1 (+ (* -1/2 (log N)) (* 1/2 (log N)))) (log N))) (/ 1 (log N)))))) (* -1 (- (* -1 (/ (+ (log N) (* -1 (log N))) (log N))) 1))))) |
(+ (* -1 (log N)) (* N (+ (* -1 (- (* -1 (/ (+ (log N) (* -1 (log N))) (log N))) 1)) (* N (+ (* -1 (* N (- (+ (* -1 (/ (- (+ (* -1/3 (log N)) (* 1/3 (log N))) 1) (log N))) (+ (* -1/2 (/ (+ (log N) (* -1 (log N))) (pow (log N) 2))) (/ 1 (pow (log N) 2)))) (+ 1/3 (+ (* -1 (/ (- (* -1 (/ (+ (log N) (* -1 (log N))) (log N))) 1) (pow (log N) 2))) (/ 1 (log N))))))) (* -1 (+ 1/2 (+ (* -1 (/ (+ 1 (+ (* -1/2 (log N)) (* 1/2 (log N)))) (log N))) (/ 1 (log N)))))))))) |
(/ 1 (log N)) |
(+ (/ 1 (log N)) (/ N (pow (log N) 2))) |
(+ (* N (+ (* N (- (/ 1 (pow (log N) 3)) (* 1/2 (/ 1 (pow (log N) 2))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N))) |
(+ (* N (+ (* N (- (+ (* N (- (+ (* 1/3 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 4))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 3))) (* 1/2 (/ 1 (pow (log N) 2))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N))) |
(/ 1 N) |
(/ (+ 1 N) N) |
(/ (+ 1 N) N) |
(/ (+ 1 N) N) |
(* -1 (pow (log N) 2)) |
(+ (* -1 (pow (log N) 2)) (* 2 (* N (log N)))) |
(+ (* -1 (pow (log N) 2)) (* N (+ (* -1 (* N (+ 1 (log N)))) (* 2 (log N))))) |
(+ (* -1 (pow (log N) 2)) (* N (+ (* 2 (log N)) (* N (+ (* -1 (* N (- (* -2/3 (log N)) 1))) (* -1 (+ 1 (log N)))))))) |
(* -4 (pow N 4)) |
(* (pow N 4) (- (* -16/3 N) 4)) |
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4)) |
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4)) |
(/ 1/24 N) |
(/ 1/24 N) |
(/ 1/24 N) |
(/ 1/24 N) |
(/ -1/24 (pow N 2)) |
(/ (- (* 1/12 N) 1/24) (pow N 2)) |
(/ (- (* 1/12 N) 1/24) (pow N 2)) |
(/ (- (* 1/12 N) 1/24) (pow N 2)) |
(/ 1/2 N) |
(/ 1/2 N) |
(/ 1/2 N) |
(/ 1/2 N) |
(log N) |
(log N) |
(log N) |
(log N) |
(* -1 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(pow (log N) 2) |
(+ (* -1 (pow N 2)) (pow (log N) 2)) |
(+ (* (pow N 2) (- N 1)) (pow (log N) 2)) |
(+ (* (pow N 2) (- (* N (+ 1 (* -11/12 N))) 1)) (pow (log N) 2)) |
(* -1 (log N)) |
(+ N (* -1 (log N))) |
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(pow (log N) 2) |
(pow (log N) 2) |
(pow (log N) 2) |
(pow (log N) 2) |
N |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2)))) |
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2)))) |
-1 |
(* -1 (+ 1 (* 1/2 (/ 1 N)))) |
(- (/ 1/12 (pow N 2)) (+ 1 (* 1/2 (/ 1 N)))) |
(- (/ 1/12 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3)))))) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
N |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
N |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2)))) |
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2)))) |
1 |
(+ 1 (/ 1 N)) |
(+ 1 (/ 1 N)) |
(+ 1 (/ 1 N)) |
N |
(* N (+ 1 (/ 1 N))) |
(* N (+ 1 (/ 1 N))) |
(* N (+ 1 (/ 1 N))) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(* (sqrt (log (/ 1 N))) (sqrt -1)) |
(+ (* 1/2 (* (/ 1 (* N (sqrt -1))) (sqrt (/ 1 (log (/ 1 N)))))) (* (sqrt (log (/ 1 N))) (sqrt -1))) |
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 N)) (pow (sqrt -1) 2))))) (* (pow N 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 N)))))) (+ (* 1/2 (* (/ 1 (* N (sqrt -1))) (sqrt (/ 1 (log (/ 1 N)))))) (* (sqrt (log (/ 1 N))) (sqrt -1)))) |
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 N)) (pow (sqrt -1) 2))))) (* (pow N 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 N)))))) (+ (* 1/2 (* (/ 1 (* N (sqrt -1))) (sqrt (/ 1 (log (/ 1 N)))))) (+ (* 1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 N)) (pow (sqrt -1) 2))))) (* (log (/ 1 N)) (pow (sqrt -1) 2))))) (* (pow N 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 N)))))) (* (sqrt (log (/ 1 N))) (sqrt -1))))) |
(* -1 (log (/ 1 N))) |
(+ (* -1 (log (/ 1 N))) (/ 1 N)) |
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))) |
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))) |
(log (/ 1 N)) |
(log (/ 1 N)) |
(log (/ 1 N)) |
(log (/ 1 N)) |
(/ 1 N) |
(/ (+ 1 (* -1 (/ (- (* 1/2 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N))))) N))) N) |
(/ (+ 1 (+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N))))) N)) (* -1 (/ (- (* 1/2 (/ (- (+ (* -4/3 (log (/ 1 N))) (* -1/2 (+ 1 (log (/ 1 N))))) 1) (log (/ 1 N)))) (+ (* -1/2 (/ (* (+ 1 (log (/ 1 N))) (- (* 1/2 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))))) (log (/ 1 N)))) (* -1/2 (/ (- 1 (* -2/3 (log (/ 1 N)))) (log (/ 1 N)))))) (pow N 2))))) N) |
(/ (+ 1 (+ (* -1 (/ (- (* 1/2 (/ (+ 11/12 (+ (log (/ 1 N)) (+ (* -1/2 (- (* -2/3 (log (/ 1 N))) 1)) (* 1/3 (+ 1 (log (/ 1 N))))))) (log (/ 1 N)))) (+ (* -1/2 (/ (* (+ 1 (log (/ 1 N))) (- (* 1/2 (/ (- (+ (* -4/3 (log (/ 1 N))) (* -1/2 (+ 1 (log (/ 1 N))))) 1) (log (/ 1 N)))) (+ (* -1/2 (/ (* (+ 1 (log (/ 1 N))) (- (* 1/2 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))))) (log (/ 1 N)))) (* -1/2 (/ (- 1 (* -2/3 (log (/ 1 N)))) (log (/ 1 N))))))) (log (/ 1 N)))) (+ (* 1/2 (/ (* (- 1 (* -2/3 (log (/ 1 N)))) (- (* 1/2 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))))) (log (/ 1 N)))) (* 1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (log (/ 1 N))))))) (pow N 3))) (+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N))))) N)) (* -1 (/ (- (* 1/2 (/ (- (+ (* -4/3 (log (/ 1 N))) (* -1/2 (+ 1 (log (/ 1 N))))) 1) (log (/ 1 N)))) (+ (* -1/2 (/ (* (+ 1 (log (/ 1 N))) (- (* 1/2 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))))) (log (/ 1 N)))) (* -1/2 (/ (- 1 (* -2/3 (log (/ 1 N)))) (log (/ 1 N)))))) (pow N 2)))))) N) |
(* -1 N) |
(* N (- (/ 1/2 (* N (log (/ 1 N)))) (+ 1 (* 1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N)))))))) |
(* N (- (+ (* -1 (/ (+ (* -1/2 (/ (* (+ 1 (log (/ 1 N))) (- (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))))) (log (/ 1 N)))) (+ (* -1/2 (/ (- 1 (* -2/3 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N)))))) (pow N 2))) (/ 1/2 (* N (log (/ 1 N))))) (+ 1 (* 1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N)))))))) |
(* N (- (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N))))) (+ 1 (+ (* -1/2 (/ (* (+ 1 (log (/ 1 N))) (- (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- 1 (* -2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/2 (/ (* (+ 1 (log (/ 1 N))) (+ (* -1/2 (/ (* (+ 1 (log (/ 1 N))) (- (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))))) (log (/ 1 N)))) (+ (* -1/2 (/ (- 1 (* -2/3 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N))))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/2 (/ (* (- 1 (* -2/3 (log (/ 1 N)))) (- (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))))))) |
1 |
(+ 1 (/ 1 N)) |
(+ 1 (/ 1 N)) |
(+ 1 (/ 1 N)) |
(/ -1 (pow N 2)) |
(/ (- (/ 1 N) 1) (pow N 2)) |
(/ (- (/ 1 N) (+ 1 (/ 11/12 (pow N 2)))) (pow N 2)) |
(/ (- (+ (/ 1 N) (* 5/6 (/ 1 (pow N 3)))) (+ 1 (/ 11/12 (pow N 2)))) (pow N 2)) |
N |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2)))) |
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2)))) |
(/ 1/24 N) |
(/ 1/24 N) |
(/ 1/24 N) |
(/ 1/24 N) |
(/ 1/12 N) |
(/ (- 1/12 (* 1/24 (/ 1 N))) N) |
(/ (- 1/12 (* 1/24 (/ 1 N))) N) |
(/ (- 1/12 (* 1/24 (/ 1 N))) N) |
(/ 1/2 N) |
(/ 1/2 N) |
(/ 1/2 N) |
(/ 1/2 N) |
(* -1 (log (/ 1 N))) |
(* -1 (log (/ 1 N))) |
(* -1 (log (/ 1 N))) |
(* -1 (log (/ 1 N))) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(* 2 (/ (log (/ 1 N)) N)) |
(/ (- (* -1 (/ (+ 1 (log (/ 1 N))) N)) (* -2 (log (/ 1 N)))) N) |
(/ (- (/ 1 (pow N 2)) (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N))))) N) |
(/ (- (+ (* -1 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (pow N 3))) (/ 1 (pow N 2))) (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N))))) N) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(pow (log (/ 1 N)) 2) |
(pow (log (/ 1 N)) 2) |
(pow (log (/ 1 N)) 2) |
(pow (log (/ 1 N)) 2) |
N |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1))) |
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1))) |
-1 |
(* -1 (+ 1 (* 1/2 (/ 1 N)))) |
(- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1) |
(- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1) |
(/ 1 N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(/ 1 N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
N |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(/ 1 N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(/ 1 N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
N |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1))) |
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1))) |
1 |
(+ 1 (/ 1 N)) |
(+ 1 (/ 1 N)) |
(+ 1 (/ 1 N)) |
N |
(* N (+ 1 (/ 1 N))) |
(* N (+ 1 (/ 1 N))) |
(* N (+ 1 (/ 1 N))) |
(/ 1 N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(/ 1 N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(sqrt (+ (log -1) (* -1 (log (/ -1 N))))) |
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/2 (* (/ 1 N) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 N))))))))) |
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 N))))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 N))))))) N) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 N))))))))) N))) |
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 N))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (* 1/2 (* (/ (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (log -1) (* -1 (log (/ -1 N))))))) N) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) N))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 N))))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 N))))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 N))))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 N))))) |
(* 1/2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (* N (+ (log -1) (* -1 (log (/ -1 N))))))) |
(* -1 (/ (- (+ (* -1/2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* 1/2 (/ (+ (* -1 (+ 1 (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (* 1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* N (+ (log -1) (* -1 (log (/ -1 N)))))))) (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) N)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* 1/2 (/ (+ (* -1 (+ 1 (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (* 1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* 1/2 (/ (+ (* -1 (+ 1 (* -1/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (* -1/2 (+ 1 (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (* 1/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (* N (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* 1/2 (/ (+ (* -1 (+ 1 (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (* 1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* N (+ (log -1) (* -1 (log (/ -1 N))))))) (* -1/4 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (* -1/2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (log -1) (* -1 (log (/ -1 N))))))) N)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ (+ (* -1 (+ 1 (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (* 1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* -1 (/ (- (+ (* -1 (- (* 1/2 (/ (+ (* -1 (+ 1 (* -1/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (* -1/2 (+ 1 (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (* 1/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* 1/2 (/ (+ (* -1 (+ 1 (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (* 1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/4 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (* 1/2 (/ (+ (* -1 (+ 11/12 (* -1/4 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (* -1/2 (+ 1 (* -1/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (* -1/3 (+ 1 (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (* 1/4 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) (* N (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* 1/2 (/ (+ (* -1 (+ 1 (* -1/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (* -1/2 (+ 1 (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (* 1/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* 1/2 (/ (+ (* -1 (+ 1 (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (* 1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/4 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (* N (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/2 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* 1/2 (/ (+ (* -1 (+ 1 (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (* 1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* N (+ (log -1) (* -1 (log (/ -1 N))))))) (* -1/4 (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))))) N))) N)) (* -1/2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (log -1) (* -1 (log (/ -1 N))))))) N)) |
(* -1/2 (/ (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (+ (log -1) (* -1 (log (/ -1 N)))))) |
(* -1 (* N (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* 1/2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (log -1) (* -1 (log (/ -1 N)))))) (/ 1/2 (* N (+ (log -1) (* -1 (log (/ -1 N)))))))))) |
(* -1 (* N (+ (* -1 (/ (- (+ (* -1/4 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* 1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (* N (+ (log -1) (* -1 (log (/ -1 N))))))) (/ 1/4 (* N (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* 1/2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (log -1) (* -1 (log (/ -1 N))))))))) |
(* -1 (* N (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* 1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/4 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))) (* 1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (* N (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* 1/2 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (* N (+ (log -1) (* -1 (log (/ -1 N))))))) (/ 1/6 (* N (+ (log -1) (* -1 (log (/ -1 N))))))))) (+ (* -1/4 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))) (* 1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* 1/2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (log -1) (* -1 (log (/ -1 N))))))))) |
1 |
(+ 1 (/ 1 N)) |
(+ 1 (/ 1 N)) |
(+ 1 (/ 1 N)) |
(/ -1 (pow N 2)) |
(/ (- (/ 1 N) 1) (pow N 2)) |
(/ (- (* -1 (/ (- (* 11/12 (/ 1 N)) 1) N)) 1) (pow N 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (* 5/6 (/ 1 N)) 11/12) N)) 1) N)) 1) (pow N 2)) |
N |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1))) |
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1))) |
(/ 1/24 N) |
(/ 1/24 N) |
(/ 1/24 N) |
(/ 1/24 N) |
(/ 1/12 N) |
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) |
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) |
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) |
(/ 1/2 N) |
(/ 1/2 N) |
(/ 1/2 N) |
(/ 1/2 N) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(/ 1 N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (/ 1 N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (/ 1 N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (* 11/12 (/ 1 N))) (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) |
(/ 1 N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1/24 binary64) N) N) |
(/.f64 (/.f64 (fma.f64 #s(literal -1/12 binary64) N #s(literal 1/24 binary64)) N) N) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N) |
(/.f64 #s(literal -1/24 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 (fma.f64 #s(literal 1/12 binary64) N #s(literal -1/24 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/12 binary64)) N #s(literal -1/24 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1/2 binary64)) N #s(literal 1/12 binary64)) N #s(literal -1/24 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(neg.f64 (log.f64 N)) |
(-.f64 N (log.f64 N)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
#s(literal 1/2 binary64) |
(+.f64 #s(literal 1/2 binary64) N) |
(+.f64 #s(literal 1/2 binary64) N) |
(+.f64 #s(literal 1/2 binary64) N) |
(neg.f64 (log.f64 N)) |
(-.f64 N (log.f64 N)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(*.f64 #s(literal -4 binary64) (pow.f64 N #s(literal 4 binary64))) |
(*.f64 (fma.f64 #s(literal -16/3 binary64) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 8/9 binary64) N #s(literal -16/3 binary64)) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -112/27 binary64) N #s(literal 8/9 binary64)) N #s(literal -16/3 binary64)) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/.f64 #s(literal 1 binary64) N) |
(/.f64 (+.f64 #s(literal 1 binary64) N) N) |
(/.f64 (+.f64 #s(literal 1 binary64) N) N) |
(/.f64 (+.f64 #s(literal 1 binary64) N) N) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) N) |
(+.f64 #s(literal 1 binary64) N) |
(+.f64 #s(literal 1 binary64) N) |
(neg.f64 (log.f64 N)) |
(-.f64 N (log.f64 N)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))) |
(neg.f64 (log.f64 N)) |
(-.f64 N (log.f64 N)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))) |
(sqrt.f64 N) |
(fma.f64 (sqrt.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal -1/4 binary64) (sqrt.f64 N)) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 N))) (*.f64 N N) (sqrt.f64 N)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) N) #s(literal 1/4 binary64)) (sqrt.f64 N)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) N)))) N (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal -1/4 binary64))) (*.f64 N N) (sqrt.f64 N)) |
N |
(*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) |
(*.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) |
(neg.f64 (log.f64 N)) |
(neg.f64 (log.f64 N)) |
(neg.f64 (log.f64 N)) |
(neg.f64 (log.f64 N)) |
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(neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal 1 binary64)) N (log.f64 N))) |
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(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 N #s(literal 3 binary64))) (neg.f64 (log.f64 N))) (/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 N)) N)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1/2 binary64)) (log.f64 N)) (/.f64 #s(literal -1/2 binary64) (log.f64 N))) (*.f64 N N)) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (neg.f64 (log.f64 N))) (/.f64 (/.f64 (fma.f64 #s(literal -2/3 binary64) (log.f64 N) #s(literal 1 binary64)) (neg.f64 (log.f64 N))) (*.f64 N N))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1/2 binary64)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 N) #s(literal -1/2 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1/2 binary64)) (log.f64 N)) (/.f64 #s(literal -1/2 binary64) (log.f64 N))) (neg.f64 (log.f64 N))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -2/3 binary64) (log.f64 N) #s(literal 1 binary64)) (log.f64 N)) (/.f64 #s(literal -1/4 binary64) (log.f64 N)))) (neg.f64 (log.f64 N))) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 N)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1/2 binary64)) (log.f64 N)) (/.f64 #s(literal -1/2 binary64) (log.f64 N))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (log.f64 N) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 11/12 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 N)) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) N) (/.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 N)) (*.f64 N N)))))))) N) |
#s(literal 1 binary64) |
(+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) |
(+.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) (*.f64 N N)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N) N) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 11/12 binary64) (*.f64 N N))) (*.f64 N N)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/6 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N)) (+.f64 (/.f64 #s(literal 11/12 binary64) (*.f64 N N)) #s(literal 1 binary64))) (*.f64 N N)) |
N |
(+.f64 #s(literal 1/2 binary64) N) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) N) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N)) #s(literal 1 binary64)) N) |
(/.f64 #s(literal 1/24 binary64) N) |
(/.f64 #s(literal 1/24 binary64) N) |
(/.f64 #s(literal 1/24 binary64) N) |
(/.f64 #s(literal 1/24 binary64) N) |
(/.f64 #s(literal 1/12 binary64) N) |
(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) |
(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) |
(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) |
(/.f64 #s(literal 1/2 binary64) N) |
(/.f64 #s(literal 1/2 binary64) N) |
(/.f64 #s(literal 1/2 binary64) N) |
(/.f64 #s(literal 1/2 binary64) N) |
(log.f64 N) |
(log.f64 N) |
(log.f64 N) |
(log.f64 N) |
(/.f64 #s(literal 1 binary64) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) 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 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) N) |
(/.f64 (*.f64 #s(literal -2 binary64) (log.f64 N)) N) |
(/.f64 (fma.f64 #s(literal -2 binary64) (log.f64 N) (/.f64 (+.f64 #s(literal -1 binary64) (log.f64 N)) N)) N) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) (fma.f64 #s(literal 2 binary64) (log.f64 N) (fma.f64 (/.f64 #s(literal -2/3 binary64) N) (/.f64 (neg.f64 (log.f64 N)) N) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 N) N) (/.f64 #s(literal 1 binary64) N))))) N) |
(/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 11/12 binary64)) (pow.f64 N #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (log.f64 N) (/.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N)) N) N))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 N) N) (/.f64 #s(literal 1 binary64) N))) N) |
(/.f64 #s(literal 1 binary64) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) 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 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) N) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
N |
(+.f64 #s(literal 1/2 binary64) N) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
#s(literal -1 binary64) |
(+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
(/.f64 #s(literal 1 binary64) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
N |
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(+.f64 #s(literal 1/2 binary64) N) |
(+.f64 #s(literal 1/2 binary64) N) |
(/.f64 #s(literal 1 binary64) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
(/.f64 #s(literal 1 binary64) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
N |
(+.f64 #s(literal 1/2 binary64) N) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
#s(literal 1 binary64) |
(+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) |
N |
(+.f64 #s(literal 1 binary64) N) |
(+.f64 #s(literal 1 binary64) N) |
(+.f64 #s(literal 1 binary64) N) |
(/.f64 #s(literal 1 binary64) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
(/.f64 #s(literal 1 binary64) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
(sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (/.f64 #s(literal 1/2 binary64) N) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) |
(-.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 1/2 binary64)) N) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) N)) |
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(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)) |
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(neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) |
(neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) |
(neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) |
(neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) |
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(*.f64 (-.f64 (/.f64 (neg.f64 (neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (*.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1/2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) N) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (*.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) N)))) (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) N) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (*.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1/2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1/2 binary64) #s(literal 11/12 binary64))) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) N)))) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (*.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1/2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))))) (neg.f64 N)) (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (*.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))))) N)) (neg.f64 N)) |
#s(literal 1 binary64) |
(+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) |
(+.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) (*.f64 N N)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N) N) |
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 11/12 binary64) N) #s(literal 1 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) N) N) |
(/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 5/6 binary64) N) #s(literal 11/12 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) N) N) |
N |
(+.f64 #s(literal 1/2 binary64) N) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
(/.f64 #s(literal 1/24 binary64) N) |
(/.f64 #s(literal 1/24 binary64) N) |
(/.f64 #s(literal 1/24 binary64) N) |
(/.f64 #s(literal 1/24 binary64) N) |
(/.f64 #s(literal 1/12 binary64) N) |
(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) |
(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) |
(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) |
(/.f64 #s(literal 1/2 binary64) N) |
(/.f64 #s(literal 1/2 binary64) N) |
(/.f64 #s(literal 1/2 binary64) N) |
(/.f64 #s(literal 1/2 binary64) N) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) |
(/.f64 #s(literal 1 binary64) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 #s(literal -2 binary64) N)) |
(/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) N))) (neg.f64 N)) |
(/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64) (/.f64 (-.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 #s(literal -2/3 binary64) N) (/.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (neg.f64 N))) (neg.f64 N)) |
(/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 11/12 binary64) N)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64))) (neg.f64 N)) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (neg.f64 N))) (neg.f64 N)) |
(/.f64 #s(literal 1 binary64) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 369 |
| 0 | 93 | 324 |
| 1 | 442 | 297 |
| 2 | 3586 | 295 |
| 0 | 8825 | 286 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))) |
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)) |
(/.f64 (+.f64 N #s(literal 1 binary64)) N) |
(+.f64 N #s(literal 1 binary64)) |
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) |
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))) |
(sqrt.f64 (log1p.f64 N)) |
(log1p.f64 N) |
(neg.f64 (log.f64 N)) |
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64))))))) |
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64))) |
(/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64)))))) |
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) |
(/.f64 #s(literal 1/24 binary64) N) |
(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) |
(/.f64 #s(literal 1/2 binary64) N) |
(log.f64 N) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) |
(log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64)))) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
| Outputs |
|---|
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Compiled 58 983 to 4 870 computations (91.7% saved)
21 alts after pruning (19 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 794 | 10 | 1 804 |
| Fresh | 15 | 9 | 24 |
| Picked | 4 | 1 | 5 |
| Done | 2 | 1 | 3 |
| Total | 1 815 | 21 | 1 836 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))))) | |
| 20.1% | (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))) | |
| 32.5% | (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log1p.f64 N)))) | |
| 25.1% | (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) | |
| 99.8% | (log1p.f64 (pow.f64 N #s(literal -1 binary64))) | |
| 24.3% | (log.f64 #s(approx (/ (+ N 1) N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) | |
| 95.8% | #s(approx (- (log (+ (* N N) -1)) (log (+ (* N N) (neg N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)) | |
| 97.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N)) | |
| 95.8% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)) | |
| 92.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N))) | |
| 96.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (*.f64 (/.f64 N (/.f64 #s(literal -1/2 binary64) N)) (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 N (/.f64 #s(literal -1/2 binary64) N)) N))) | |
| ✓ | 93.8% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)))) |
| 93.7% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64)))))) | |
| 93.8% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 binary64))))) | |
| 97.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)) (neg.f64 N))))) | |
| 96.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) N)))) | |
| 97.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) (neg.f64 N))))) | |
| 93.8% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))) | |
| 97.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N))))) | |
| ✓ | 85.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| 96.8% | #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))) |
Compiled 2 826 to 867 computations (69.3% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ (* N N) -1)) (log (+ (* N N) (neg N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) 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)) |
(neg.f64 #s(approx (log (/ (/ N (+ 1 N)) 1)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal -1 binary64) N) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) (neg.f64 N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)) (neg.f64 N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N #s(literal -1 binary64))) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N))) |
(log.f64 #s(approx (/ (+ N 1) N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) |
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) |
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))) |
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))) N)) |
(neg.f64 #s(approx (log (/ (/ N (+ 1 N)) 1)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) N)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64))) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (*.f64 (/.f64 N (/.f64 #s(literal -1/2 binary64) N)) (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 N (/.f64 #s(literal -1/2 binary64) N)) N))) |
(log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))) |
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N (neg.f64 N)))) |
(exp.f64 (*.f64 (log.f64 #s(approx (pow (- (log (+ 1 N)) (log N)) -1) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))) #s(literal -1 binary64))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 2 binary64)) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)))) (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) |
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))) |
(exp.f64 #s(approx (* (log (pow (- (log (+ 1 N)) (log N)) -1)) -1) (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 5/24 binary64) (*.f64 N N)) (log.f64 N)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal 3 binary64)))))) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))))) |
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N))))) |
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))) |
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))) |
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))) |
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (fma.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (log.f64 N))))) |
(*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log1p.f64 N)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (log1p.f64 N) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (-.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (-.f64 (log1p.f64 N) (/.f64 (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64))) (log.f64 N) (*.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))) (log.f64 N))) |
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))) |
| Outputs |
|---|
(log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
2 calls:
| 18.0ms | N |
| 16.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | N |
| 99.8% | 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 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ (* N N) -1)) (log (+ (* N N) (neg N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) 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)) |
(neg.f64 #s(approx (log (/ (/ N (+ 1 N)) 1)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal -1 binary64) N) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) (neg.f64 N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)) (neg.f64 N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N #s(literal -1 binary64))) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N))) |
(log.f64 #s(approx (/ (+ N 1) N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) |
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) |
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))) |
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))) N)) |
(neg.f64 #s(approx (log (/ (/ N (+ 1 N)) 1)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) N)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64))) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (*.f64 (/.f64 N (/.f64 #s(literal -1/2 binary64) N)) (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 N (/.f64 #s(literal -1/2 binary64) N)) N))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) (neg.f64 N))))) |
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) |
2 calls:
| 11.0ms | N |
| 7.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 2 | N |
| 99.5% | 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 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ (* N N) -1)) (log (+ (* N N) (neg N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) 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)) |
(neg.f64 #s(approx (log (/ (/ N (+ 1 N)) 1)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal -1 binary64) N) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) (neg.f64 N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)) (neg.f64 N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N #s(literal -1 binary64))) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N))) |
(log.f64 #s(approx (/ (+ N 1) N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) |
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) (neg.f64 N))))) |
(log.f64 #s(approx (/ (+ N 1) N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) |
2 calls:
| 7.0ms | N |
| 6.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 2 | N |
| 99.5% | 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 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ (* N N) -1)) (log (+ (* N N) (neg N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) 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)) |
(neg.f64 #s(approx (log (/ (/ N (+ 1 N)) 1)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal -1 binary64) N) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) (neg.f64 N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)) (neg.f64 N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N #s(literal -1 binary64))) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)) (neg.f64 N))))) |
2 calls:
| 8.0ms | N |
| 5.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 1 | N |
| 97.6% | 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 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ (* N N) -1)) (log (+ (* N N) (neg N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) 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)) |
(neg.f64 #s(approx (log (/ (/ N (+ 1 N)) 1)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal -1 binary64) N) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) (neg.f64 N))))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) (neg.f64 N))))) |
2 calls:
| 5.0ms | N |
| 4.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 97.6% | 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 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ (* N N) -1)) (log (+ (* N N) (neg N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) 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)) |
(neg.f64 #s(approx (log (/ (/ N (+ 1 N)) 1)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal -1 binary64) N) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N))))) |
2 calls:
| 5.0ms | N |
| 4.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 97.5% | 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 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ (* N N) -1)) (log (+ (* N N) (neg N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) 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)) |
(neg.f64 #s(approx (log (/ (/ N (+ 1 N)) 1)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) N)))) |
2 calls:
| 4.0ms | N |
| 3.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 96.3% | 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 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ (* N N) -1)) (log (+ (* N N) (neg N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
2 calls:
| 3.0ms | N |
| 3.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.8% | 1 | N |
| 95.8% | 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 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 binary64))))) |
2 calls:
| 3.0ms | N |
| 2.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.8% | 1 | N |
| 93.8% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 8 to 7 computations (12.5% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
2 calls:
| 1.0ms | N |
| 1.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.9% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 85.9% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0009300567929217962 | 0.0013837124132081158 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0005519180373978472 | 0.0009300567929217962 |
Compiled 10 to 10 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 366 |
| 1 | 129 | 366 |
| 2 | 172 | 366 |
| 3 | 207 | 366 |
| 4 | 249 | 366 |
| 5 | 292 | 363 |
| 6 | 366 | 363 |
| 7 | 558 | 363 |
| 8 | 790 | 363 |
| 9 | 988 | 363 |
| 10 | 1064 | 363 |
| 11 | 1097 | 363 |
| 12 | 1101 | 363 |
| 1× | saturated |
| Inputs |
|---|
(log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) (neg.f64 N))))) (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 5534023222112865/9223372036854775808 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) (neg.f64 N))))) (log.f64 #s(approx (/ (+ N 1) N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)) (neg.f64 N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) (neg.f64 N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) 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)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| Outputs |
|---|
(log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) N)) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) #s(literal -1/2 binary64)) N)) N)))) (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) N)) (log.f64 N)) #s(literal 5534023222112865/9223372036854775808 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) #s(literal -1/2 binary64)) N)) N)))) (log.f64 #s(approx (/ (+ N 1) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)) (neg.f64 N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) #s(literal -1/2 binary64)) N)) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N)) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 #s(literal 1/2 binary64) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 716 | 5862 |
| 1 | 2327 | 5139 |
| 0 | 8338 | 4948 |
| 0 | 657 | 5612 |
| 1 | 2057 | 5188 |
| 2 | 7140 | 5179 |
| 0 | 8091 | 4916 |
| 0 | 49 | 247 |
| 0 | 84 | 235 |
| 1 | 379 | 225 |
| 2 | 2714 | 221 |
| 0 | 9392 | 221 |
| 0 | 6 | 16 |
| 0 | 10 | 15 |
| 1 | 42 | 15 |
| 2 | 269 | 15 |
| 3 | 2627 | 15 |
| 0 | 8846 | 12 |
| 0 | 53 | 336 |
| 0 | 88 | 314 |
| 1 | 410 | 279 |
| 2 | 3519 | 274 |
| 0 | 8294 | 274 |
| 0 | 88 | 330 |
| 1 | 250 | 302 |
| 2 | 588 | 301 |
| 3 | 1591 | 295 |
| 4 | 4186 | 287 |
| 5 | 6252 | 287 |
| 6 | 7306 | 287 |
| 0 | 8036 | 278 |
| 0 | 57 | 369 |
| 0 | 93 | 324 |
| 1 | 442 | 297 |
| 2 | 3586 | 295 |
| 0 | 8825 | 286 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 903 to 509 computations (43.6% saved)
Compiled 794 to 254 computations (68% saved)
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