
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)
| 1.1s | 6 421× | 1 | valid |
| 104.0ms | 1 835× | 0 | valid |
ival-log1p: 495.0ms (50.6% of total)ival-log: 231.0ms (23.6% of total)adjust: 112.0ms (11.5% of total)ival-sub: 76.0ms (7.8% of total)ival->: 21.0ms (2.1% of total)ival-<: 18.0ms (1.8% of total)ival-and: 11.0ms (1.1% of total)exact: 10.0ms (1% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 247 | 0 | - | 1 | (18.484962602586968) | (-.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 | 246 | 4 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 246 | 1 |
| - | 0 | 9 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 246 | 1 | 0 |
| - | 0 | 3 | 6 |
| number | freq |
|---|---|
| 0 | 10 |
| 1 | 246 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 67.0ms | 404× | 1 | valid |
| 6.0ms | 108× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-log: 17.0ms (30.4% of total)ival-log1p: 14.0ms (25% of total)ival-assert: 10.0ms (17.9% of total)adjust: 8.0ms (14.3% of total)ival-sub: 4.0ms (7.1% of total)ival-add: 3.0ms (5.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 80× | lower-fma.f64 |
| 80× | lower-fma.f32 |
| 48× | lower-*.f64 |
| 48× | lower-*.f32 |
| 46× | sub-neg |
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 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 23.5% | (-.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))) |
| 80× | lower-fma.f64 |
| 80× | lower-fma.f32 |
| 48× | lower-*.f64 |
| 48× | lower-*.f32 |
| 36× | lower-+.f32 |
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 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(log.f64 (+.f64 N #s(literal 1 binary64))) |
(log1p.f64 N) |
(+.f64 N #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) N) |
N |
#s(literal 1 binary64) |
(log.f64 N) |
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 | 48.95911125637969 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 47.0ms | 202× | 1 | valid |
| 4.0ms | 54× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-add: 22.0ms (52.7% of total)ival-log1p: 7.0ms (16.8% of total)ival-log: 6.0ms (14.4% of total)adjust: 4.0ms (9.6% of total)ival-sub: 2.0ms (4.8% 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 (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ()) |
#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt N (taylor 0 N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* N (+ 1 (* -1/2 N))) (taylor 0 N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (taylor 0 N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2)))) (taylor 0 N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log N)) (taylor 0 N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ()) |
#s(alt (- N (log N)) (taylor 0 N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ()) |
#s(alt (- (* N (+ 1 (* -1/2 N))) (log N)) (taylor 0 N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ()) |
#s(alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) (taylor 0 N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (log N) (taylor 0 N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ()) |
#s(alt (log N) (taylor 0 N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ()) |
#s(alt (log N) (taylor 0 N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ()) |
#s(alt (log N) (taylor 0 N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (/ 1 N))) (taylor inf N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (log (/ 1 N))) (/ 1 N)) (taylor inf N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))) (taylor inf N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))) (taylor inf N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 N) (taylor inf N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (* 1/2 (/ 1 N))) N) (taylor inf N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) (taylor inf N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (taylor inf N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ()) |
#s(alt N (taylor inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* N (+ 1 (/ 1 N))) (taylor inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* N (+ 1 (/ 1 N))) (taylor inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* N (+ 1 (/ 1 N))) (taylor inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (/ 1 N))) (taylor inf N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (/ 1 N))) (taylor inf N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (/ 1 N))) (taylor inf N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (/ 1 N))) (taylor inf N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (log (/ -1 N)))) (taylor -inf N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N))) (taylor -inf N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) (taylor -inf N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) (taylor -inf N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 N) (taylor -inf N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) (taylor -inf N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) (taylor -inf N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) (taylor -inf N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ()) |
#s(alt N (taylor -inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* N (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* N (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* N (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (log (/ -1 N)))) (taylor -inf N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (log (/ -1 N)))) (taylor -inf N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (log (/ -1 N)))) (taylor -inf N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (log (/ -1 N)))) (taylor -inf N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | N | @ | inf | ((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N)) |
| 24.0ms | N | @ | 0 | ((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N)) |
| 18.0ms | N | @ | -inf | ((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N)) |
| 1× | egg-herbie |
| 11 472× | lower-fma.f64 |
| 11 472× | lower-fma.f32 |
| 2 762× | lower-*.f64 |
| 2 762× | lower-*.f32 |
| 2 058× | lower-+.f64 |
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 |
(* N (+ 1 (* -1/2 N))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) |
(* N (+ 1 (* N (- (* 1/3 N) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) |
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2)))) |
(*.f64 (fma.f64 (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) |
(* -1 (log N)) |
(neg.f64 (log.f64 N)) |
(- N (log N)) |
(-.f64 N (log.f64 N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N))) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N) N (-.f64 N (log.f64 N))) |
1 |
#s(literal 1 binary64) |
(+ 1 N) |
(+.f64 #s(literal 1 binary64) N) |
(+ 1 N) |
(+.f64 #s(literal 1 binary64) N) |
(+ 1 N) |
(+.f64 #s(literal 1 binary64) N) |
(log N) |
(log.f64 N) |
(log N) |
(log.f64 N) |
(log N) |
(log.f64 N) |
(log N) |
(log.f64 N) |
(* -1 (log (/ 1 N))) |
(log.f64 N) |
(+ (* -1 (log (/ 1 N))) (/ 1 N)) |
(-.f64 (log.f64 N) (/.f64 #s(literal -1 binary64) N)) |
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))) |
(-.f64 (log.f64 N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)) |
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))) |
(-.f64 (log.f64 N) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) N)) |
(/ 1 N) |
(/.f64 #s(literal 1 binary64) N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(/.f64 (-.f64 (/.f64 (-.f64 #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 |
(* N (+ 1 (/ 1 N))) |
(+.f64 #s(literal 1 binary64) N) |
(* N (+ 1 (/ 1 N))) |
(+.f64 #s(literal 1 binary64) N) |
(* N (+ 1 (/ 1 N))) |
(+.f64 #s(literal 1 binary64) N) |
(* -1 (log (/ 1 N))) |
(log.f64 N) |
(* -1 (log (/ 1 N))) |
(log.f64 N) |
(* -1 (log (/ 1 N))) |
(log.f64 N) |
(* -1 (log (/ 1 N))) |
(log.f64 N) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N))) |
(-.f64 (+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) 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)) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) 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)) |
(/ 1 N) |
(/.f64 #s(literal 1 binary64) N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(/.f64 (-.f64 (/.f64 (-.f64 #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 |
(* N (+ 1 (/ 1 N))) |
(+.f64 #s(literal 1 binary64) N) |
(* N (+ 1 (/ 1 N))) |
(+.f64 #s(literal 1 binary64) N) |
(* N (+ 1 (/ 1 N))) |
(+.f64 #s(literal 1 binary64) N) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64))) |
| 4 976× | lower-/.f64 |
| 4 976× | lower-/.f32 |
| 3 238× | lower-*.f64 |
| 3 238× | lower-*.f32 |
| 2 654× | lower-fma.f64 |
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 |
|---|
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 N))) |
(pow.f64 (log1p.f64 N) #s(literal 1 binary64)) |
(log1p.f64 N) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))))) |
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))))) |
(neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(neg.f64 (neg.f64 (log1p.f64 N))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 N)) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 N)) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 N)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 N #s(literal 1 binary64))) (log.f64 (fma.f64 N N #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) (log1p.f64 (pow.f64 N #s(literal 3 binary64)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))) (/.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))))) (/.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))))) (/.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))))) |
(-.f64 (log.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))) (log1p.f64 (*.f64 N N))) |
(-.f64 (log.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))) |
(-.f64 (log.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))) (log.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))) (log.f64 (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)))) (log.f64 (fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -3 binary64)))) (log.f64 (+.f64 (pow.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
(-.f64 (log.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))))) |
(-.f64 (log.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 N #s(literal 1 binary64))))) |
(-.f64 (log.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))) |
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(-.f64 (log.f64 (neg.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N)))) |
(-.f64 (log.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))) (log.f64 (neg.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N)))) |
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64)))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (pow.f64 N #s(literal 9 binary64))) (log.f64 (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))))) |
(-.f64 (log1p.f64 (*.f64 (neg.f64 N) N)) (log1p.f64 (neg.f64 N))) |
(-.f64 (log.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64)))) (log1p.f64 (neg.f64 N))) |
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (pow.f64 N #s(literal 3 binary64)))) (log.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))) |
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) |
(-.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 N))) |
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) (log1p.f64 (fma.f64 N N N))) |
(+.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (fma.f64 N N N))) |
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))))) (log.f64 (+.f64 (fma.f64 N N #s(literal -1 binary64)) N))) |
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))))) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)) (pow.f64 N #s(literal 4 binary64))))) |
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (log1p.f64 N)) |
(+.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)))) (log1p.f64 N)) |
(+.f64 (neg.f64 (log.f64 (-.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N #s(literal -1 binary64)))) |
(+.f64 (neg.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))) (log1p.f64 (pow.f64 N #s(literal 3 binary64)))) |
(+.f64 (log1p.f64 (*.f64 (neg.f64 N) N)) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))) |
(+.f64 (log.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))) |
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (pow.f64 N #s(literal 3 binary64)))) (log.f64 (pow.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64)))) |
(+.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (log.f64 (-.f64 N #s(literal 1 binary64))))) |
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(/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) N)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) |
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) |
(neg.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) N) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 N N) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)) |
(fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (*.f64 (-.f64 N #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) N)) (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N #s(literal 1 binary64))) (-.f64 N #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64)))) (-.f64 N #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))) |
(-.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) N) |
(+.f64 N #s(literal 1 binary64)) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 N)) #s(literal -1 binary64))) |
(pow.f64 (log.f64 N) #s(literal 1 binary64)) |
(+.f64 #s(literal 0 binary64) (log.f64 N)) |
(+.f64 (log.f64 N) #s(literal 0 binary64)) |
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (log.f64 N))) |
(log.f64 N) |
Compiled 12 638 to 1 563 computations (87.6% saved)
22 alts after pruning (22 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 448 | 22 | 470 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 449 | 22 | 471 |
| Status | Accuracy | Program |
|---|---|---|
| 25.1% | (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (fma.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)))))) | |
| 25.0% | (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.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)))))) | |
| 23.5% | (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))) | |
| 24.5% | (/.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))) | |
| 24.5% | (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))) (log.f64 N) (*.f64 (+.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 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))) (log.f64 N))) | |
| 23.4% | (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (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))))) | |
| 23.3% | (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) | |
| 23.5% | (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) | |
| ▶ | 23.5% | (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) |
| 23.3% | (-.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 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)))))) (/.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))))))) | |
| 23.5% | (-.f64 (log1p.f64 N) (log.f64 N)) | |
| 23.4% | (*.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))) | |
| 23.4% | (*.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) | |
| ▶ | 23.5% | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))) |
| ▶ | 26.6% | (neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))) |
| 26.2% | (neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64))))) | |
| 26.1% | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) | |
| 23.5% | (exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64))) | |
| 95.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) | |
| ▶ | 96.6% | #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)) |
| 92.4% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) | |
| ▶ | 84.7% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
Compiled 1 190 to 516 computations (56.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) | |
| cost-diff | 6080 | (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (log.f64 N) | |
| cost-diff | 0 | (+.f64 (log.f64 N) (log1p.f64 N)) | |
| cost-diff | 6080 | (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) | |
| cost-diff | 27008 | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #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)) |
| 8 008× | lower-fma.f64 |
| 8 008× | lower-fma.f32 |
| 3 888× | lower-*.f32 |
| 3 880× | lower-*.f64 |
| 2 584× | lower-+.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 332 |
| 0 | 77 | 336 |
| 1 | 123 | 336 |
| 2 | 239 | 302 |
| 3 | 547 | 302 |
| 4 | 1728 | 302 |
| 5 | 6154 | 302 |
| 0 | 8938 | 302 |
| 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) |
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
(log.f64 N) |
N |
(log1p.f64 N) |
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) |
(pow.f64 (log1p.f64 N) #s(literal 6 binary64)) |
(log1p.f64 N) |
N |
#s(literal 6 binary64) |
(pow.f64 (log.f64 N) #s(literal 6 binary64)) |
(log.f64 N) |
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
#s(literal -1 binary64) |
(+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) |
(pow.f64 (log1p.f64 N) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (log.f64 N) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) |
(*.f64 (log.f64 N) (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 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))) |
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) |
(log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) |
(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) |
(/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) |
(/.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 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
(+.f64 (log1p.f64 N) (log.f64 N)) |
(log.f64 N) |
N |
(log1p.f64 N) |
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (log1p.f64 N) (log.f64 N))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) |
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))) (+.f64 (log1p.f64 N) (log.f64 N))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (+.f64 (log1p.f64 N) (log.f64 N))) |
(-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) |
(pow.f64 (log1p.f64 N) #s(literal 6 binary64)) |
(log1p.f64 N) |
N |
#s(literal 6 binary64) |
(pow.f64 (log.f64 N) #s(literal 6 binary64)) |
(log.f64 N) |
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) |
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
(+.f64 (log1p.f64 N) (log.f64 N)) |
#s(literal -1 binary64) |
(+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) |
(+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) |
(+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) |
(pow.f64 (log1p.f64 N) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (log.f64 N) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) |
(*.f64 (log.f64 N) (log1p.f64 N)) |
(*.f64 (log1p.f64 N) (log.f64 N)) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.9144443361065219 | (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) | |
| accuracy | 1.1983948844403385 | (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) | |
| accuracy | 1.221532323514359 | (pow.f64 (log.f64 N) #s(literal 6 binary64)) | |
| accuracy | 47.92363229763561 | (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) | |
| accuracy | 0.28515625 | (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) | |
| accuracy | 0.32259750976844204 | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))) | |
| accuracy | 0.34375 | (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) | |
| accuracy | 48.95911125637969 | (-.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 | 0.0078125 | (/.f64 N (+.f64 #s(literal 1 binary64) N)) | |
| accuracy | 46.9756583044236 | (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) N) | |
| accuracy | 9.789869667274562 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) | |
| accuracy | 0.08203125 | (/.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 | 0.34375 | (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) | |
| accuracy | 2.166952370290189 | #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)) |
| 205.0ms | 186× | 1 | valid |
| 35.0ms | 70× | 0 | valid |
Compiled 366 to 42 computations (88.5% saved)
ival-pow2: 43.0ms (24.4% of total)ival-pow: 29.0ms (16.4% of total)ival-div: 19.0ms (10.8% of total)adjust: 16.0ms (9.1% of total)ival-log: 15.0ms (8.5% of total)ival-sub: 13.0ms (7.4% of total)ival-log1p: 12.0ms (6.8% of total)ival-add: 10.0ms (5.7% of total)ival-mult: 10.0ms (5.7% of total)const: 6.0ms (3.4% of total)ival-neg: 2.0ms (1.1% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #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)) (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 (/.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) (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 (-.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)) (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 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) (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 #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) N) (patch (/.f64 #s(literal 1 binary64) N) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) (patch (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) (patch (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 N (+.f64 #s(literal 1 binary64) N)) (patch (/.f64 N (+.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))) (patch (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (patch (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 (log.f64 N) (log1p.f64 N)) (patch (+.f64 (log.f64 N) (log1p.f64 N)) #<representation binary64>) () ()) |
#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (patch (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (patch (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) (patch (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (patch (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) N) (patch (+.f64 #s(literal 1 binary64) N) #<representation binary64>) () ()) |
#s(alt (-.f64 (log1p.f64 N) (log.f64 N)) (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (patch (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (log.f64 N) #s(literal 6 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 6 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (log N)) (taylor 0 N) (#s(alt #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)) (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 (- N (log N)) (taylor 0 N) (#s(alt #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)) (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>) () ())) ()) |
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#s(alt (+ (* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (taylor -inf N) (#s(alt (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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)) (taylor -inf N) (#s(alt (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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)) (taylor -inf N) (#s(alt (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 65.0ms | 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)) (* (+ (log N) (log (+ 1 N))) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1))) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (log N) (log (+ 1 N))) (log N) (* (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (/ (* (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (+ (pow (log (+ 1 N)) 4) (pow (log N) 4)) (pow (* (log N) (log (+ 1 N))) 2))) (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (log (+ 1 N)) 6) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (+ 1 N) (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1) (pow (log N) 6) (pow (log (+ 1 N)) 4)) |
| 24.0ms | 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)) (* (+ (log N) (log (+ 1 N))) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1))) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (log N) (log (+ 1 N))) (log N) (* (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (/ (* (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (+ (pow (log (+ 1 N)) 4) (pow (log N) 4)) (pow (* (log N) (log (+ 1 N))) 2))) (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (log (+ 1 N)) 6) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (+ 1 N) (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1) (pow (log N) 6) (pow (log (+ 1 N)) 4)) |
| 11.0ms | 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)) (* (+ (log N) (log (+ 1 N))) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1))) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (log N) (log (+ 1 N))) (log N) (* (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (/ (* (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (+ (pow (log (+ 1 N)) 4) (pow (log N) 4)) (pow (* (log N) (log (+ 1 N))) 2))) (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (log (+ 1 N)) 6) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (+ 1 N) (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1) (pow (log N) 6) (pow (log (+ 1 N)) 4)) |
| 1× | egg-herbie |
| 7 096× | lower-*.f64 |
| 7 096× | lower-*.f32 |
| 6 756× | lower-fma.f64 |
| 6 756× | lower-fma.f32 |
| 5 306× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1005 | 13785 |
| 1 | 3431 | 12816 |
| 0 | 8658 | 12194 |
| 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)) |
-1 |
(- (* 2 (/ N (log N))) 1) |
(- (* N (+ (* -1 (* N (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1) |
(- (* N (+ (* N (- (* N (- (+ (* 2/3 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (* -1 (/ (+ (/ 1 (log N)) (* 2 (/ 1 (pow (log N) 2)))) (log N))))) (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1) |
(log N) |
(+ N (log N)) |
(+ (log N) (* N (+ 1 (* -1/2 N)))) |
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(log N) |
(log N) |
(log N) |
(log N) |
(* -1 (pow (log N) 5)) |
(+ (* -1 (pow (log N) 5)) (* N (pow (log N) 4))) |
(+ (* -1 (pow (log N) 5)) (* N (- (* -1 (* N (+ (* 1/2 (pow (log N) 4)) (pow (log N) 3)))) (* -1 (pow (log N) 4))))) |
(+ (* -1 (pow (log N) 5)) (* N (- (* N (- (* -1 (* N (+ (* -1 (/ (+ (* 1/2 (pow (log N) 4)) (pow (log N) 3)) (log N))) (+ (* -1/2 (pow (log N) 3)) (* -1/3 (pow (log N) 4)))))) (+ (* 1/2 (pow (log N) 4)) (pow (log N) 3)))) (* -1 (pow (log N) 4))))) |
(* -1 (log N)) |
(+ N (* -1 (log N))) |
(+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 4))) (/ 1 (log N)))))))) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 4))) (/ 1 (log N))) (log N))) (+ (* -1 (/ (+ (* -1 (pow (log N) 3)) (+ (* 1/3 (pow (log N) 4)) (pow (log N) 2))) (pow (log N) 4))) (/ 1 (pow (log N) 2)))))) (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 4))) (/ 1 (log N)))))))) |
(* -1 (pow (log N) 6)) |
(- (pow N 6) (pow (log N) 6)) |
(- (* (pow N 6) (+ 1 (* -3 N))) (pow (log N) 6)) |
(- (* (pow N 6) (+ 1 (* N (- (* 23/4 N) 3)))) (pow (log N) 6)) |
(pow N 6) |
(* (pow N 6) (+ 1 (* -3 N))) |
(* (pow N 6) (+ 1 (* N (- (* 23/4 N) 3)))) |
(* (pow N 6) (+ 1 (* N (- (* N (+ 23/4 (* -9 N))) 3)))) |
(/ 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)) |
(/ 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 (* N (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (/ 1 (pow (log N) 3)) (/ 1 (pow (log N) 4)))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N))) |
(pow (log N) 6) |
(pow (log N) 6) |
(pow (log N) 6) |
(pow (log N) 6) |
(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)))) |
(/ 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) |
(/ -1/2 (* N (log (/ 1 N)))) |
(/ (- (/ 1/4 (* N (log (/ 1 N)))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (* 1/2 (/ 1 (log (/ 1 N)))))) N) |
(/ (- (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/6 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N) |
(/ (- (+ (/ 1/8 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (log (/ 1 N)))) (* 1/6 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (pow (log (/ 1 N)) 2))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/6 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))))) N) |
(* -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 (log (/ 1 N))) |
(* -1 (log (/ 1 N))) |
(* -1 (log (/ 1 N))) |
(* -1 (log (/ 1 N))) |
(/ (* (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) N) |
(/ (- (+ (* -1/2 (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2)))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (* N (log (/ 1 N))))) (* (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* -1/2 (/ (* (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) N))) N) |
(/ (- (+ (* -1/2 (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ 1 (+ (* -1 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (+ (* 1/3 (pow (log (/ 1 N)) 2)) (* 2 (log (/ 1 N)))))))) (* 2 (* (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2)))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (* N (log (/ 1 N))))) (* (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (* (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) N)) (+ (* -1/2 (/ (- (* -1/2 (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2)))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (log (/ 1 N)))) (* -1/2 (* (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ (* (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow N 2)))))) N) |
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(/ (* (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4)))) |
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(pow (log (/ 1 N)) 6) |
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(/ -1/3 N) |
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(/ (- (* 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))) |
(* N (+ 1 (/ 1 N))) |
(* N (+ 1 (/ 1 N))) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
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(/ -1/2 (log (/ 1 N))) |
(* -1 (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (* N (pow (log (/ 1 N)) 2)))))) |
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(pow (log (/ 1 N)) 6) |
(pow (log (/ 1 N)) 6) |
(pow (log (/ 1 N)) 6) |
(pow (log (/ 1 N)) 6) |
(pow (log (/ 1 N)) 4) |
(+ (* -4 (/ (pow (log (/ 1 N)) 3) N)) (pow (log (/ 1 N)) 4)) |
(+ (* -4 (/ (pow (log (/ 1 N)) 3) N)) (+ (* 2 (/ (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* 4 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (pow (log (/ 1 N)) 4)))) |
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(/ 1 N) |
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(* -2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) |
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (+ (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))))))))) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))))) (pow (+ (* -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))))))) 2))) N)) (+ (* 2 (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (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)) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -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))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2))) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -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)))) 6) |
(+ (* -2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -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)))) 6)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -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))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2)) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -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)))) 6)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (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)) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -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))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2))) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -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)))) 6)) |
(/ -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)) |
(/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) |
(- (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (/ 1 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) N)) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) N)) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 1/3 (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (* 1/2 (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (* -1 (/ (+ (* 1/2 (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N)) (+ (* 1/2 (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) N)) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) N)) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6) |
(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)) |
| Outputs |
|---|
(* -1 (log N)) |
(neg.f64 (log.f64 N)) |
(- N (log N)) |
(-.f64 N (log.f64 N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)) |
(/ -1/4 (pow N 4)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/.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))) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/.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))) |
(/ -1/4 (pow N 3)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/.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))) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/.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))) |
(/ -1/4 (pow N 3)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/.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))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/.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))) |
(* -1 (log N)) |
(neg.f64 (log.f64 N)) |
(- N (log N)) |
(-.f64 N (log.f64 N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)) |
(/ 1 N) |
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(/ 1 N) |
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(/ 1 N) |
(/.f64 #s(literal 1 binary64) N) |
(/ 1 N) |
(/.f64 #s(literal 1 binary64) N) |
N |
(* N (+ 1 (* -1 N))) |
(*.f64 (-.f64 #s(literal 1 binary64) N) N) |
(* N (+ 1 (* N (- N 1)))) |
(*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N) |
(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) N #s(literal 1 binary64)) N) |
(* -1 (log N)) |
(neg.f64 (log.f64 N)) |
(- N (log N)) |
(-.f64 N (log.f64 N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)) |
(log N) |
(log.f64 N) |
(+ (log N) (* -1 N)) |
(-.f64 (log.f64 N) N) |
(+ (log N) (* N (- (* 1/2 N) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1 binary64)) N (log.f64 N)) |
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/2 binary64)) N #s(literal -1 binary64)) N (log.f64 N)) |
N |
(* N (+ 1 (* -1 N))) |
(*.f64 (-.f64 #s(literal 1 binary64) N) N) |
(* N (+ 1 (* N (- N 1)))) |
(*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N) |
(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) N #s(literal 1 binary64)) N) |
(* -1 (log N)) |
(neg.f64 (log.f64 N)) |
(- N (log N)) |
(-.f64 N (log.f64 N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
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(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) 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)) |
(/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) |
(/.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)))) |
(- (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (/ 1 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) |
(-.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)))) (/.f64 (/.f64 #s(literal 1 binary64) N) (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)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) N)) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) N)) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) |
(-.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)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (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))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (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))) (/.f64 #s(literal 1 binary64) (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 3 binary64)))) N)) N)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 1/3 (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (* 1/2 (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (* -1 (/ (+ (* 1/2 (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N)) (+ (* 1/2 (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) N)) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) N)) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) |
(-.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)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (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))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (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))) (/.f64 #s(literal 1 binary64) (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 3 binary64)))) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (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 3 binary64))) (/.f64 #s(literal 1/3 binary64) (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)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (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))) (/.f64 #s(literal 1 binary64) (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 3 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))))) N)) N)) N)) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)) |
(+ (* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) |
(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))) |
(+ (* -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)) |
(-.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 (fma.f64 (*.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))))) (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)) #s(literal 4 binary64))) (neg.f64 N))) N)) |
(+ (* -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)) |
(-.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 (fma.f64 (*.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))))) (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)) #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)) |
| 4 514× | lower-/.f32 |
| 4 498× | lower-/.f64 |
| 3 674× | lower-*.f32 |
| 3 666× | lower-*.f64 |
| 2 344× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 244 |
| 0 | 77 | 196 |
| 1 | 340 | 183 |
| 2 | 2419 | 183 |
| 0 | 8423 | 183 |
| 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)) |
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
(log.f64 N) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) |
(pow.f64 (log1p.f64 N) #s(literal 6 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 binary64) N) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) |
(pow.f64 (log.f64 N) #s(literal 6 binary64)) |
(pow.f64 (log1p.f64 N) #s(literal 4 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 (pow.f64 (/.f64 N (-.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)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.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)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 N (-.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 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.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) #s(literal 1 binary64)) (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))) #s(literal -1 binary64))) |
(*.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) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -1 binary64))) |
(*.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)) |
(*.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 (pow.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(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 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))) |
(*.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)) (pow.f64 N #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.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)) |
(pow.f64 (/.f64 (/.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)) #s(literal -1 binary64)) |
(pow.f64 (/.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 (neg.f64 (*.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)) #s(literal 1 binary64)) (pow.f64 N #s(literal -1 binary64)))) (neg.f64 (+.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 (neg.f64 (*.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 3 binary64)) #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.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) #s(literal 1 binary64)) (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 (neg.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) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 N))) |
(/.f64 (neg.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) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 N)) |
(/.f64 (neg.f64 (-.f64 (pow.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) #s(literal 2 binary64)) (pow.f64 N #s(literal -2 binary64)))) (neg.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 #s(literal -1 binary64) N)))) |
(/.f64 (neg.f64 (-.f64 (pow.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) #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -3 binary64))))) (neg.f64 (+.f64 (pow.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) #s(literal 2 binary64)) (+.f64 (pow.f64 N #s(literal -2 binary64)) (*.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 #s(literal -1 binary64) N)))))) |
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(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (log1p.f64 N))) |
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (log1p.f64 N) #s(literal 4 binary64)) |
(exp.f64 (fma.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) |
Compiled 59 335 to 5 618 computations (90.5% saved)
44 alts after pruning (42 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 737 | 31 | 1 768 |
| Fresh | 6 | 11 | 17 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 746 | 44 | 1 790 |
| Status | Accuracy | Program |
|---|---|---|
| 25.1% | (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (fma.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)))))) | |
| 23.5% | (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))) | |
| 24.5% | (/.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))) | |
| 24.5% | (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))) (log.f64 N) (*.f64 (+.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 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))) (log.f64 N))) | |
| 23.4% | (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (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))))) | |
| 23.3% | (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log1p.f64 N) (log.f64 N))) | |
| 23.5% | (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))) | |
| 21.3% | (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) | |
| 23.5% | (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) | |
| 24.4% | (/.f64 (*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) | |
| 95.9% | (/.f64 (*.f64 #s(approx (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (/.f64 (fma.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) N) (/.f64 #s(literal -2 binary64) N) (fma.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) N)) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 N)) (fma.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) #s(literal 11/12 binary64)) (log.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal -1/2 binary64) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (pow.f64 N #s(literal 3 binary64))) #s(literal -2 binary64) (fma.f64 (*.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 N #s(literal 3 binary64)))) #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) N) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N) (/.f64 (pow.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64))) N))))))) N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) | |
| 96.1% | (/.f64 #s(approx (* (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)))) (neg.f64 (log.f64 N))) (fma.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (-.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 N)) (fma.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) #s(literal 11/12 binary64)) (log.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal -1/2 binary64) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (fma.f64 (*.f64 (neg.f64 (log.f64 N)) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)))) (log.f64 N))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 (log.f64 N))) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (*.f64 (log.f64 N) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (log.f64 N))) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N #s(literal 3 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (*.f64 (log.f64 N) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (log.f64 N))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (neg.f64 (log.f64 N))) (pow.f64 N #s(literal 3 binary64))) #s(literal -1/6 binary64) (*.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N) (/.f64 (neg.f64 (log.f64 N)) N) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (*.f64 (log.f64 N) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (log.f64 N))))))))))) N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) | |
| 23.3% | (-.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 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)))))) (/.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))))))) | |
| 23.5% | (-.f64 (log1p.f64 N) (log.f64 N)) | |
| 23.4% | (*.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) | |
| 21.1% | (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))) | |
| 21.2% | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal -1 binary64)))) | |
| 21.2% | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) #s(literal -1 binary64)))) | |
| ▶ | 21.1% | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))) |
| 23.5% | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -1 binary64)))) | |
| 21.2% | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))))) | |
| ▶ | 96.2% | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64)))) |
| 26.2% | (neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64))))) | |
| 26.6% | (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) | |
| 95.3% | (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))) | |
| 26.1% | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) | |
| 23.5% | (exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64))) | |
| 96.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.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 N) (*.f64 N N))) | |
| 96.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) N)) | |
| 96.4% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.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 #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 (+.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)) #s(literal 1 binary64))) (*.f64 (+.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 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)))) N)) | |
| 96.5% | #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)) #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))))) | |
| 95.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) | |
| ✓ | 96.6% | #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)) |
| ▶ | 96.6% | #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)) |
| 96.5% | #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)) | |
| 95.3% | #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)) | |
| ▶ | 92.4% | #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)) |
| 96.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (*.f64 (*.f64 N (/.f64 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 binary64))) (*.f64 (*.f64 N (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))) N))) | |
| ✓ | 84.7% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| 96.5% | #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) N) (/.f64 #s(literal -1 binary64) N))) | |
| 96.5% | #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))) | |
| ▶ | 96.3% | #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 N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N)))) |
| 96.5% | #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))) | |
| 92.1% | #s(approx (- (log (+ N 1)) (log N)) (exp.f64 (*.f64 (log.f64 (/.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)))) |
Compiled 3 896 to 1 501 computations (61.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 N) | |
| cost-diff | 0 | (+.f64 (log.f64 N) (log1p.f64 N)) | |
| cost-diff | 0 | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))) | |
| cost-diff | 6080 | (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))) | |
| cost-diff | 128 | (/.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)) | |
| cost-diff | 192 | (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)) | |
| cost-diff | 6080 | (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64))) | |
| cost-diff | 27008 | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64)))) | |
| cost-diff | 192 | (*.f64 N #s(literal -1 binary64)) | |
| cost-diff | 448 | (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N)) | |
| cost-diff | 704 | (-.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 N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N))) | |
| cost-diff | 1024 | (*.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) | |
| 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 #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) | |
| cost-diff | 0 | (-.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)) | |
| cost-diff | 0 | (/.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) | |
| cost-diff | 0 | #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)) |
| 6 902× | lower-fma.f32 |
| 6 898× | lower-fma.f64 |
| 3 040× | lower-*.f32 |
| 3 026× | lower-*.f64 |
| 1 762× | lower-+.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 710 |
| 0 | 117 | 715 |
| 1 | 200 | 679 |
| 2 | 396 | 652 |
| 3 | 1012 | 642 |
| 4 | 4417 | 642 |
| 0 | 8300 | 642 |
| 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) #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)) |
(/.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) |
(-.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)) |
(/.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) |
(-.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)))) |
#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))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)) |
(fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) |
#s(literal -1/3 binary64) |
N |
#s(literal 1/4 binary64) |
(*.f64 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 #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 (-.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 N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N 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 N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N 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) N) (*.f64 N 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) N) |
(/.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) |
(*.f64 N N) |
(/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N)) |
(*.f64 N #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64)))) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
(log.f64 N) |
N |
(log1p.f64 N) |
(*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64))) |
#s(approx (- (log (+ 1 N)) (log 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))) |
(/.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)) |
(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)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) |
(-.f64 (/.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 1/2 binary64) |
#s(literal -1 binary64) |
(neg.f64 N) |
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) |
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
(log.f64 N) |
N |
(log1p.f64 N) |
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) |
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
#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 (+ 1 N)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N))) N) #s(literal -1 binary64)) 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) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N))) N) #s(literal -1 binary64)) N) |
(-.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)) |
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N))) N) #s(literal -1 binary64)) |
(/.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) |
(/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N))) N) |
(-.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)))) |
(-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N))) |
#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))) |
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)) |
(/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N) |
(fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) |
#s(literal -1/3 binary64) |
N |
#s(literal 1/4 binary64) |
(*.f64 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)) |
#s(approx (- (log (+ 1 N)) (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 (-.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 N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N)))) |
#s(approx (- (log (+ 1 N)) (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) N) 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 N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N 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) N) 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) N) (*.f64 N 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) 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) N) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) |
(/.f64 (-.f64 #s(literal -1/2 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) |
(*.f64 N N) |
(/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N)) |
(/.f64 #s(literal -1 binary64) N) |
(*.f64 N #s(literal -1 binary64)) |
(neg.f64 N) |
#s(literal -1 binary64) |
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64)))) |
#s(approx (- (log (+ 1 N)) (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) N) N)) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
(+.f64 (log1p.f64 N) (log.f64 N)) |
(log.f64 N) |
N |
(log1p.f64 N) |
(*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64))) |
(/.f64 #s(approx (- (log (+ 1 N)) (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) N) N)) (+.f64 (log1p.f64 N) (log.f64 N))) |
#s(approx (- (log (+ 1 N)) (log 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))) |
#s(approx (- (log (+ 1 N)) (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) N) 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)) |
(/.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) N) |
(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)) |
(-.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 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) |
(/.f64 (-.f64 (/.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 #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 1/2 binary64) |
#s(literal -1 binary64) |
(neg.f64 N) |
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) |
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) |
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (/.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (log.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))))) (+.f64 (log1p.f64 N) (log.f64 N))) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
(+.f64 (log1p.f64 N) (log.f64 N)) |
(log.f64 N) |
N |
(log1p.f64 N) |
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))) |
(/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (/.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (log.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (/.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (log.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) |
(fma.f64 (/.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (log.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) |
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.5123825195368841 | (pow.f64 (log.f64 N) #s(literal 2 binary64)) | |
| accuracy | 0.515625 | (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) | |
| accuracy | 48.6321594320688 | (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) | |
| accuracy | 48.95911125637969 | (-.f64 (log1p.f64 N) (log.f64 N)) | |
| accuracy | 0.32259750976844204 | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64)))) | |
| accuracy | 0.34375 | (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) | |
| accuracy | 0.34375 | (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64))) | |
| accuracy | 2.166952370290189 | #s(approx (- (log (+ 1 N)) (log 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))) | |
| accuracy | 0.2578125 | (*.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) | |
| accuracy | 0.2734375 | (/.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 N)) | |
| accuracy | 0.34375 | (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) | |
| accuracy | 2.166952370290189 | #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 N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N)))) | |
| accuracy | 0.0078125 | (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) | |
| accuracy | 0.0546875 | (/.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 | 2.166952370290189 | #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 | 9.934257765665134 | #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) | |
| accuracy | 0.08203125 | (/.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) | |
| accuracy | 0.2890625 | (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)) | |
| accuracy | 0.3359375 | (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) | |
| accuracy | 2.166952370290189 | #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)) |
| 267.0ms | 207× | 1 | valid |
| 19.0ms | 49× | 0 | valid |
Compiled 596 to 52 computations (91.3% saved)
ival-div: 48.0ms (21.9% of total)adjust: 44.0ms (20.1% of total)ival-mult: 41.0ms (18.7% of total)const: 19.0ms (8.7% of total)ival-sub: 14.0ms (6.4% of total)ival-pow: 12.0ms (5.5% of total)ival-log1p: 11.0ms (5% of total)ival-pow2: 10.0ms (4.6% of total)ival-log: 9.0ms (4.1% of total)ival-add: 8.0ms (3.7% 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 #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)) (patch #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)) #<representation binary64>) () ()) |
#s(alt (/.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) (patch (/.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) #<representation binary64>) () ()) |
#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ()) |
#s(alt (/.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) (patch (/.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) #<representation binary64>) () ()) |
#s(alt #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)) (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 (/.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) (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 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) (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 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) (patch #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #<representation binary64>) () ()) |
#s(alt (*.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) (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) N) #<representation binary64>) () ()) |
#s(alt (-.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 N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N))) (patch (-.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 N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N)) (patch (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N)) #<representation binary64>) () ()) |
#s(alt (*.f64 N #s(literal -1 binary64)) (patch (*.f64 N #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64)))) (patch (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64))) (patch (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (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)) (patch (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)) #<representation binary64>) () ()) |
#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))) (patch (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))) (patch (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (log.f64 N) (log1p.f64 N)) (patch (+.f64 (log.f64 N) (log1p.f64 N)) #<representation binary64>) () ()) |
#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)) #<representation binary64>) () ()) |
#s(alt #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 N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N)))) (patch #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 N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) (patch (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #<representation binary64>) () ()) |
#s(alt (/.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 N)) (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) N) (*.f64 N N)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (log (+ 1 N)) (log 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))) (patch #s(approx (- (log (+ 1 N)) (log 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))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) (patch (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #<representation binary64>) () ()) |
#s(alt (-.f64 (log1p.f64 N) (log.f64 N)) (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) (patch (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (log.f64 N) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (log N)) (taylor 0 N) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ()) |
#s(alt (- N (log N)) (taylor 0 N) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ()) |
#s(alt (- (* N (+ 1 (* -1/2 N))) (log N)) (taylor 0 N) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ()) |
#s(alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) (taylor 0 N) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/4 (pow N 4)) (taylor 0 N) (#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/3 N) 1/4) (pow N 4)) (taylor 0 N) (#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) (taylor 0 N) (#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) (taylor 0 N) (#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/4 (pow N 3)) (taylor 0 N) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/3 N) 1/4) (pow N 3)) (taylor 0 N) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) (taylor 0 N) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) (taylor -inf N) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) (patch (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) (taylor -inf N) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) (patch (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 N) (taylor -inf N) (#s(alt (-.f64 (log1p.f64 N) (log.f64 N)) (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ (- (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1 (/ (- (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/2 (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 1/4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* 1/6 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* 1/3 (- (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* 1/2 (- (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))))))) N)) (* 1/4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) N)) (* 2 (+ (log -1) (* -1 (log (/ -1 N)))))) (taylor -inf N) (#s(alt (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) (patch (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #<representation binary64>) () ())) ()) |
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#s(alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (taylor -inf N) (#s(alt (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (taylor -inf N) (#s(alt (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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)) (taylor -inf N) (#s(alt (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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)) (taylor -inf N) (#s(alt (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (taylor -inf N) (#s(alt (pow.f64 (log.f64 N) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (taylor -inf N) (#s(alt (pow.f64 (log.f64 N) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (taylor -inf N) (#s(alt (pow.f64 (log.f64 N) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (taylor -inf N) (#s(alt (pow.f64 (log.f64 N) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | 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)) (/ (- (/ (- -1/2 (/ (- (/ 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 (/ (- (/ 1/4 N) 1/3) N)) N) N) (- (/ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N N)) (/ (* N -1) (* N N))) (/ (* N -1) (* N N)) (* N -1) (* (+ (log N) (log (+ 1 N))) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1))) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) -1) (/ (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) -1) (neg N)) (* (- (log (+ 1 N)) (log N)) (pow (- (/ (pow (log (+ 1 N)) 2) (- (log (+ 1 N)) (log N))) (/ (pow (log N) 2) (- (log (+ 1 N)) (log N)))) -1)) (* (+ (log N) (log (+ 1 N))) (* (- (log (+ 1 N)) (log N)) (pow (- (/ (pow (log (+ 1 N)) 2) (- (log (+ 1 N)) (log N))) (/ (pow (log N) 2) (- (log (+ 1 N)) (log N)))) -1))) (+ (log N) (log (+ 1 N))) (log N) (+ (* -1/3 N) 1/4) (/ (+ (* -1/3 N) 1/4) (* N N)) (- (log (+ N 1)) (log N)) (/ (- (/ 1/4 N) 1/3) N) (/ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N N)) (- (log (+ 1 N)) (log N)) (/ (+ (/ -1/4 N) 1/3) N) (- (log (+ 1 N)) (log N)) (- (/ (pow (log (+ 1 N)) 2) (- (log (+ 1 N)) (log N))) (/ (pow (log N) 2) (- (log (+ 1 N)) (log N)))) (pow (log (+ 1 N)) 2) (pow (log N) 2)) |
| 18.0ms | 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)) (/ (- (/ (- -1/2 (/ (- (/ 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 (/ (- (/ 1/4 N) 1/3) N)) N) N) (- (/ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N N)) (/ (* N -1) (* N N))) (/ (* N -1) (* N N)) (* N -1) (* (+ (log N) (log (+ 1 N))) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1))) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) -1) (/ (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) -1) (neg N)) (* (- (log (+ 1 N)) (log N)) (pow (- (/ (pow (log (+ 1 N)) 2) (- (log (+ 1 N)) (log N))) (/ (pow (log N) 2) (- (log (+ 1 N)) (log N)))) -1)) (* (+ (log N) (log (+ 1 N))) (* (- (log (+ 1 N)) (log N)) (pow (- (/ (pow (log (+ 1 N)) 2) (- (log (+ 1 N)) (log N))) (/ (pow (log N) 2) (- (log (+ 1 N)) (log N)))) -1))) (+ (log N) (log (+ 1 N))) (log N) (+ (* -1/3 N) 1/4) (/ (+ (* -1/3 N) 1/4) (* N N)) (- (log (+ N 1)) (log N)) (/ (- (/ 1/4 N) 1/3) N) (/ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N N)) (- (log (+ 1 N)) (log N)) (/ (+ (/ -1/4 N) 1/3) N) (- (log (+ 1 N)) (log N)) (- (/ (pow (log (+ 1 N)) 2) (- (log (+ 1 N)) (log N))) (/ (pow (log N) 2) (- (log (+ 1 N)) (log N)))) (pow (log (+ 1 N)) 2) (pow (log N) 2)) |
| 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)) (/ (- (/ (- -1/2 (/ (- (/ 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 (/ (- (/ 1/4 N) 1/3) N)) N) N) (- (/ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N N)) (/ (* N -1) (* N N))) (/ (* N -1) (* N N)) (* N -1) (* (+ (log N) (log (+ 1 N))) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1))) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) -1) (/ (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) -1) (neg N)) (* (- (log (+ 1 N)) (log N)) (pow (- (/ (pow (log (+ 1 N)) 2) (- (log (+ 1 N)) (log N))) (/ (pow (log N) 2) (- (log (+ 1 N)) (log N)))) -1)) (* (+ (log N) (log (+ 1 N))) (* (- (log (+ 1 N)) (log N)) (pow (- (/ (pow (log (+ 1 N)) 2) (- (log (+ 1 N)) (log N))) (/ (pow (log N) 2) (- (log (+ 1 N)) (log N)))) -1))) (+ (log N) (log (+ 1 N))) (log N) (+ (* -1/3 N) 1/4) (/ (+ (* -1/3 N) 1/4) (* N N)) (- (log (+ N 1)) (log N)) (/ (- (/ 1/4 N) 1/3) N) (/ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N N)) (- (log (+ 1 N)) (log N)) (/ (+ (/ -1/4 N) 1/3) N) (- (log (+ 1 N)) (log N)) (- (/ (pow (log (+ 1 N)) 2) (- (log (+ 1 N)) (log N))) (/ (pow (log N) 2) (- (log (+ 1 N)) (log N)))) (pow (log (+ 1 N)) 2) (pow (log N) 2)) |
| 1× | egg-herbie |
| 9 510× | lower-fma.f64 |
| 9 510× | lower-fma.f32 |
| 6 186× | lower-+.f64 |
| 6 186× | lower-+.f32 |
| 4 578× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 753 | 10983 |
| 1 | 2526 | 9822 |
| 0 | 8219 | 9389 |
| 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)) |
(/ -1/4 (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 2)) |
(/ (- (* 1/3 N) 1/4) (pow N 2)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2)) |
(/ -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 N) |
(/ -1 N) |
(/ -1 N) |
(/ -1 N) |
(* -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)) |
-1 |
(- (* 2 (/ N (log N))) 1) |
(- (* N (+ (* -1 (* N (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1) |
(- (* N (+ (* N (- (* N (- (+ (* 2/3 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (* -1 (/ (+ (/ 1 (log N)) (* 2 (/ 1 (pow (log N) 2)))) (log N))))) (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1) |
(/ 1/4 (pow N 3)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 3)) |
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3)) |
(/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (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 |
(- (* 2 (/ N (log N))) 1) |
(- (* N (+ (* -1 (* N (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1) |
(- (* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (+ (* -1 (/ (+ (/ 1 (log N)) (* 2 (/ 1 (pow (log N) 2)))) (log N))) (* -1 (/ (- (+ 1/3 (+ (* -1 (/ (- 1/2 (/ 1 (log N))) (log N))) (/ 1 (log N)))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2)))) (log N)))))) (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1) |
(* -1 (log N)) |
(+ N (* -1 (log N))) |
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))) |
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(pow (log (/ 1 N)) 2) |
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(pow (log (/ 1 N)) 2) |
(pow (log (/ 1 N)) 2) |
(pow (log (/ 1 N)) 2) |
(pow (log (/ 1 N)) 2) |
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(+ (* -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)))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(* -1/3 N) |
(* -1 (* N (- 1/3 (* 1/4 (/ 1 N))))) |
(* -1 (* N (- 1/3 (* 1/4 (/ 1 N))))) |
(* -1 (* N (- 1/3 (* 1/4 (/ 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 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)) |
(/ -1/3 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)) |
(/ -1/2 (pow N 2)) |
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2)) |
(/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) (pow N 2)) |
(/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) (pow N 2)) |
(/ 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)) |
(/ 1/3 N) |
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) |
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) |
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) 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))))) |
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(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)) |
(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 |
|---|
(* -1 (log N)) |
(neg.f64 (log.f64 N)) |
(- N (log N)) |
(-.f64 N (log.f64 N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)) |
(/ -1/4 (pow N 4)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/.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))) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/.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))) |
(/ -1/4 (pow N 3)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/.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))) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/.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))) |
(/ -1/4 (pow N 3)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/.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))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/.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))) |
(* -1 (log N)) |
(neg.f64 (log.f64 N)) |
(- N (log N)) |
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#s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (fma.f64 (fma.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)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (*.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)))) #s(literal 1/3 binary64) (*.f64 (fma.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)) #s(literal 1/2 binary64))) #s(literal 1/4 binary64))))) N) #s(literal -1 binary64) (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 1/24 binary64) (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 1/6 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 (-.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (fma.f64 (fma.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)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (*.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)))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64) (*.f64 (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))) #s(literal 1/3 binary64)))) N)) (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 1/4 binary64) (*.f64 (fma.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)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))) (neg.f64 N))) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) |
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) N) #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) |
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(-.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 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (neg.f64 N))) N)) |
(+ (* -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)) |
(-.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 (-.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)) N)) N)) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) |
| 3 672× | lower-*.f32 |
| 3 658× | lower-*.f64 |
| 3 604× | lower-/.f32 |
| 3 574× | lower-/.f64 |
| 2 700× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 527 |
| 0 | 117 | 505 |
| 1 | 516 | 413 |
| 2 | 4459 | 403 |
| 0 | 8397 | 403 |
| 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) #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)) |
(/.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) |
(-.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)) |
(/.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(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) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) 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 N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N))) |
(/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N)) |
(*.f64 N #s(literal -1 binary64)) |
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64)))) |
(*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64))) |
(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)) |
(/.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)) |
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
(log.f64 N) |
(fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N 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 N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 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) N) (*.f64 N N)) |
#s(approx (- (log (+ 1 N)) (log 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))) |
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
| Outputs |
|---|
#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 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal -1 binary64)) N)) |
(*.f64 (pow.f64 (/.f64 N (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 N (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 N #s(literal -1 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal -1 binary64)) N)) |
(pow.f64 (/.f64 (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal -1 binary64))) #s(literal -1 binary64)) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N))) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (neg.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (neg.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (neg.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (neg.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (*.f64 (neg.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (neg.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (neg.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 (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 (log.f64 N) #s(literal -2 binary64))))) |
(/.f64 (-.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (log.f64 N) (log1p.f64 N))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (*.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -3 binary64)))) (fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)) (/.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log1p.f64 N) (log1p.f64 N) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 (log1p.f64 N) (log.f64 N))))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (neg.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N))) |
(/.f64 #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 #s(literal 1 binary64) (/.f64 (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)) (/.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))) (-.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (*.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (neg.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 1 binary64)) (log.f64 N)) |
(fma.f64 (pow.f64 (sqrt.f64 (log.f64 N)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 N)) #s(literal 1 binary64)) (log1p.f64 N)) |
(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (fma.f64 (log.f64 N) (+.f64 (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 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N)))) |
(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N)) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N)))) |
(fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (log1p.f64 N)) |
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (log.f64 N)) |
(fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N)))) |
(fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N)))) |
(fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) |
(fma.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (neg.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N)))) |
(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) |
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N)))) |
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N)))) |
(fma.f64 (log1p.f64 N) (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N)))) |
(-.f64 (log.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (log1p.f64 (neg.f64 N))) |
(-.f64 (log.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (-.f64 N #s(literal 1 binary64)))) |
(-.f64 (log.f64 (*.f64 N (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (fma.f64 N N (neg.f64 N)))) |
(-.f64 (log.f64 (*.f64 N (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)) (/.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -3 binary64))) (fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)) (/.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) |
(+.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) |
(+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N)))) |
(+.f64 (log1p.f64 N) (log.f64 N)) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
(exp.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) |
(log.f64 (fma.f64 N N N)) |
(*.f64 (log1p.f64 N) (log1p.f64 N)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log1p.f64 N))) |
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
(exp.f64 (+.f64 (log.f64 (log1p.f64 N)) (log.f64 (log1p.f64 N)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64))) |
(*.f64 (log.f64 N) (log.f64 N)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 N))) |
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(exp.f64 (+.f64 (log.f64 (log.f64 N)) (log.f64 (log.f64 N)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64))) |
Compiled 64 700 to 5 880 computations (90.9% saved)
60 alts after pruning (56 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 628 | 24 | 1 652 |
| Fresh | 5 | 32 | 37 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 636 | 60 | 1 696 |
| Status | Accuracy | Program |
|---|---|---|
| 25.1% | (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (fma.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)))))) | |
| 24.8% | (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))) | |
| 24.5% | (/.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))) | |
| 24.5% | (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))) (log.f64 N) (*.f64 (+.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 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))) (log.f64 N))) | |
| 23.4% | (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (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))))) | |
| 23.3% | (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log1p.f64 N) (log.f64 N))) | |
| 23.5% | (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))) | |
| 21.3% | (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) | |
| 23.5% | (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) | |
| ▶ | 24.4% | (/.f64 (*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) |
| 95.9% | (/.f64 (*.f64 #s(approx (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (/.f64 (fma.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) N) (/.f64 #s(literal -2 binary64) N) (fma.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) N)) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 N)) (fma.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) #s(literal 11/12 binary64)) (log.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal -1/2 binary64) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (pow.f64 N #s(literal 3 binary64))) #s(literal -2 binary64) (fma.f64 (*.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 N #s(literal 3 binary64)))) #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) N) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N) (/.f64 (pow.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64))) N))))))) N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) | |
| 96.1% | (/.f64 #s(approx (* (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)))) (neg.f64 (log.f64 N))) (fma.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (-.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 N)) (fma.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) #s(literal 11/12 binary64)) (log.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal -1/2 binary64) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (fma.f64 (*.f64 (neg.f64 (log.f64 N)) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)))) (log.f64 N))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 (log.f64 N))) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (*.f64 (log.f64 N) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (log.f64 N))) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N #s(literal 3 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (*.f64 (log.f64 N) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (log.f64 N))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (neg.f64 (log.f64 N))) (pow.f64 N #s(literal 3 binary64))) #s(literal -1/6 binary64) (*.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N) (/.f64 (neg.f64 (log.f64 N)) N) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (*.f64 (log.f64 N) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (log.f64 N))))))))))) N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) | |
| 23.5% | (-.f64 (log1p.f64 N) (log.f64 N)) | |
| 23.4% | (*.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) | |
| 21.0% | (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))) | |
| 21.1% | (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))) | |
| 21.0% | (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 (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 (log.f64 N) #s(literal -2 binary64))))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))) | |
| 18.9% | (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 (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 (log.f64 N) #s(literal -2 binary64))))) (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64)))) | |
| 31.3% | (*.f64 (/.f64 (exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))))) (exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))) (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64)))) | |
| 21.1% | (*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))) | |
| 21.1% | (*.f64 (-.f64 (log.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (-.f64 N #s(literal 1 binary64)))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))) | |
| 95.7% | (*.f64 (-.f64 (log.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (-.f64 N #s(literal 1 binary64)))) (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64)))) | |
| 20.8% | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))) | |
| 21.2% | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal -1 binary64)))) | |
| 21.2% | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) #s(literal -1 binary64)))) | |
| 23.5% | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -1 binary64)))) | |
| 21.2% | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))))) | |
| 21.5% | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))) | |
| 31.3% | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 #s(approx (- (log (+ 1 N)) (log 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 (exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))))) (exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))) #s(literal -1 binary64)))) | |
| 96.1% | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 #s(approx (- (log (+ 1 N)) (log 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 (log.f64 (fma.f64 N N N)) #s(literal -1 binary64)))) | |
| 21.1% | (*.f64 (log.f64 (fma.f64 N N N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))) | |
| ▶ | 96.2% | (*.f64 #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64)))) |
| 26.2% | (neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64))))) | |
| 26.6% | (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) | |
| 95.3% | (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))) | |
| 26.1% | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) | |
| 23.5% | (exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64))) | |
| 96.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64) N) (*.f64 N N))) | |
| 96.4% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.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 #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 (+.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)) #s(literal 1 binary64))) (*.f64 (+.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 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)))) N)) | |
| 96.5% | #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)) #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))))) | |
| 95.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) | |
| ✓ | 96.6% | #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)) |
| ✓ | 96.6% | #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)) |
| ▶ | 96.5% | #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)) |
| 95.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)) | |
| 96.0% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64)) (*.f64 (neg.f64 N) N)) (pow.f64 N #s(literal 3 binary64))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N)))) | |
| 96.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64))) (*.f64 N N)) (*.f64 (*.f64 (neg.f64 N) N) (neg.f64 N))) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)))) | |
| 92.2% | #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))) | |
| ✓ | 92.4% | #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)) |
| 96.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (*.f64 (*.f64 N (/.f64 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 binary64))) (*.f64 (*.f64 N (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))) N))) | |
| 96.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64) N)))) | |
| 92.4% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))))) | |
| ✓ | 84.7% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| 96.5% | #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) N) (/.f64 #s(literal -1 binary64) N))) | |
| 96.5% | #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))) | |
| 96.3% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (*.f64 N N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N)))) | |
| ▶ | 96.2% | #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 N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)))) |
| 92.4% | #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)) N) (/.f64 #s(literal -1 binary64) N))) | |
| 96.5% | #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))) | |
| ▶ | 92.4% | #s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))) |
Compiled 5 171 to 2 175 computations (57.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) | |
| cost-diff | 6080 | (*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) | |
| cost-diff | 12800 | (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) | |
| cost-diff | 128 | (/.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)) | |
| cost-diff | 128 | (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))) | |
| cost-diff | 192 | (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)) | |
| cost-diff | 6080 | (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64))) | |
| cost-diff | 448 | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)) | |
| cost-diff | 1024 | (*.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) | |
| cost-diff | 1280 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) | |
| cost-diff | 5952 | (-.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 N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N 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 | #s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))) | |
| cost-diff | 128 | (neg.f64 (-.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 | 320 | (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) N) | |
| cost-diff | 0 | (/.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) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 704 | (-.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))) |
| 7 910× | lower-fma.f32 |
| 7 906× | lower-fma.f64 |
| 3 676× | lower-*.f32 |
| 3 662× | lower-*.f64 |
| 1 826× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 805 |
| 0 | 142 | 756 |
| 1 | 241 | 746 |
| 2 | 471 | 722 |
| 3 | 1162 | 720 |
| 4 | 5917 | 720 |
| 0 | 8082 | 716 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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)) |
(/.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) |
(-.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))) |
(/.f64 #s(literal -1/2 binary64) N) |
#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)) |
(/.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) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))) |
(*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)) |
(neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) |
(-.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) |
(/.f64 #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 N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N 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 N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N 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) N) (*.f64 N 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) N) |
(/.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) |
(*.f64 N N) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) N) |
#s(literal -1 binary64) |
(*.f64 #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64)))) |
#s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) |
(-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))) |
(fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) |
#s(literal 2 binary64) |
(log.f64 N) |
N |
(+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) |
#s(literal 1/3 binary64) |
(pow.f64 N #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 N N)) |
#s(literal 1/2 binary64) |
(*.f64 N N) |
(*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64))) |
#s(approx (- (log (+ 1 N)) (log 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))) |
(/.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)) |
(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)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) |
(-.f64 (/.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 binary64) |
(neg.f64 N) |
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
(log1p.f64 N) |
(/.f64 (*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) |
(-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) |
(exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) |
(log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) |
(pow.f64 (log1p.f64 N) #s(literal 6 binary64)) |
(log1p.f64 N) |
N |
#s(literal 6 binary64) |
(pow.f64 (log.f64 N) #s(literal 6 binary64)) |
(log.f64 N) |
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
#s(literal -1 binary64) |
(+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) |
(pow.f64 (log1p.f64 N) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (log.f64 N) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) |
(*.f64 (log.f64 N) (log1p.f64 N)) |
#s(literal 2 binary64) |
| Outputs |
|---|
#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 (+ 1 N)) (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 #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) |
(/.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) (-.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 #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 -1/2 binary64) N) |
#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)) |
(/.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) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ 1 N)) (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 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #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) |
(neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) |
(-.f64 #s(literal -1 binary64) #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 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) |
(/.f64 #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 N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)))) |
#s(approx (- (log (+ 1 N)) (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 (-.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 N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N 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) N) (*.f64 N N)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) N (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64))) (pow.f64 N #s(literal 3 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) N) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) |
(/.f64 (-.f64 #s(literal -1/2 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) |
(*.f64 N N) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)) |
(/.f64 #s(literal -1 binary64) N) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) |
(neg.f64 N) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) N) |
#s(literal -1 binary64) |
(*.f64 #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (- (log (+ 1 N)) (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 (log1p.f64 N) (log.f64 N))) #s(approx (+ (log N) (log (+ 1 N))) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))))))) |
#s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) |
#s(approx (+ (log N) (log (+ 1 N))) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64)))))) |
(-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))))) |
(fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) |
(fma.f64 (log.f64 N) #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) N))) |
#s(literal 2 binary64) |
(log.f64 N) |
N |
(+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N)) |
(-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) N)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) |
#s(literal 1/3 binary64) |
(pow.f64 N #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 N N)) |
#s(literal 1/2 binary64) |
(*.f64 N N) |
(*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64))) |
(/.f64 #s(approx (- (log (+ 1 N)) (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 (log1p.f64 N) (log.f64 N))) |
#s(approx (- (log (+ 1 N)) (log 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))) |
#s(approx (- (log (+ 1 N)) (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 (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)) |
(/.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) |
(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)) |
(-.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 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) |
(/.f64 (-.f64 (/.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 #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 binary64) |
(neg.f64 N) |
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) |
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
(+.f64 (log1p.f64 N) (log.f64 N)) |
(log1p.f64 N) |
(/.f64 (*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (+.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))) |
(*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (+.f64 (log1p.f64 N) (log.f64 N))) |
(-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) |
(-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) |
(exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) |
(pow.f64 (log1p.f64 N) #s(literal 6 binary64)) |
(log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) |
(pow.f64 (log1p.f64 N) #s(literal 6 binary64)) |
(log1p.f64 N) |
N |
#s(literal 6 binary64) |
(pow.f64 (log.f64 N) #s(literal 6 binary64)) |
(log.f64 N) |
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) |
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
(+.f64 (log1p.f64 N) (log.f64 N)) |
#s(literal -1 binary64) |
(+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) |
(+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) |
(+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) |
(pow.f64 (log1p.f64 N) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (log.f64 N) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) |
(*.f64 (log.f64 N) (log1p.f64 N)) |
(*.f64 (log1p.f64 N) (log.f64 N)) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.1983948844403385 | (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) | |
| accuracy | 1.221532323514359 | (pow.f64 (log.f64 N) #s(literal 6 binary64)) | |
| accuracy | 2.31497775779253 | (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) | |
| accuracy | 47.92363229763561 | (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) | |
| accuracy | 0.34375 | (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64))) | |
| accuracy | 0.38509750976844204 | (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) | |
| accuracy | 1.9662773281394066 | #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) | |
| accuracy | 2.166952370290189 | #s(approx (- (log (+ 1 N)) (log 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))) | |
| accuracy | 0.2578125 | (*.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) | |
| accuracy | 0.2734375 | (/.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 N)) | |
| accuracy | 0.34375 | (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) | |
| accuracy | 2.166952370290189 | #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 N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)))) | |
| accuracy | 0.0078125 | (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) | |
| accuracy | 0.10546875 | (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)) | |
| accuracy | 2.166952370290189 | #s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))) | |
| accuracy | 9.934257765665134 | #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) | |
| accuracy | 0.14453125 | (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) | |
| accuracy | 0.2734375 | (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) | |
| accuracy | 0.34375 | (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) | |
| accuracy | 2.166952370290189 | #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)) |
| 293.0ms | 183× | 1 | valid |
| 46.0ms | 73× | 0 | valid |
Compiled 690 to 71 computations (89.7% saved)
ival-div: 56.0ms (22.2% of total)ival-mult: 49.0ms (19.4% of total)ival-sub: 40.0ms (15.8% of total)adjust: 26.0ms (10.3% of total)ival-pow: 20.0ms (7.9% of total)ival-log: 16.0ms (6.3% of total)ival-add: 13.0ms (5.1% of total)ival-log1p: 9.0ms (3.6% of total)ival-pow2: 8.0ms (3.2% of total)ival-exp: 7.0ms (2.8% of total)const: 6.0ms (2.4% of total)ival-neg: 3.0ms (1.2% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ()) |
#s(alt #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)) (patch #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)) #<representation binary64>) () ()) |
#s(alt (/.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) (patch (/.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) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/2 binary64) N) (patch (/.f64 #s(literal -1/2 binary64) N) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)) (patch (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (patch (neg.f64 (-.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 #s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))) (patch #s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) (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 (-.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 N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N))) (patch (-.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 N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) #<representation binary64>) () ()) |
#s(alt (*.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) (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) N) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64))) (patch (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (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)) (patch (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)) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))) (patch (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))) #<representation binary64>) () ()) |
#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ()) |
#s(alt (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (patch (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (patch (*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) (patch (/.f64 (*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (patch (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) (patch (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (patch (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (patch (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) (patch #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #<representation binary64>) () ()) |
#s(alt #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 N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)))) (patch #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 N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)))) #<representation binary64>) () ()) |
#s(alt (/.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 N)) (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) N) (*.f64 N N)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (log (+ 1 N)) (log 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))) (patch #s(approx (- (log (+ 1 N)) (log 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))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (patch #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (log.f64 N) #s(literal 6 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 6 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ -1/4 (pow N 3)) (taylor 0 N) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/3 N) 1/4) (pow N 3)) (taylor 0 N) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) (taylor 0 N) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) (taylor 0 N) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log N)) (taylor 0 N) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ()) |
#s(alt (- N (log N)) (taylor 0 N) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ()) |
#s(alt (- (* N (+ 1 (* -1/2 N))) (log N)) (taylor 0 N) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ()) |
#s(alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) (taylor 0 N) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/4 (pow N 4)) (taylor 0 N) (#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/3 N) 1/4) (pow N 4)) (taylor 0 N) (#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) (taylor 0 N) (#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) (taylor 0 N) (#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 N) (taylor 0 N) (#s(alt (/.f64 #s(literal -1/2 binary64) N) (patch (/.f64 #s(literal -1/2 binary64) N) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 N) (taylor 0 N) (#s(alt (/.f64 #s(literal -1/2 binary64) N) (patch (/.f64 #s(literal -1/2 binary64) N) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 N) (taylor 0 N) (#s(alt (/.f64 #s(literal -1/2 binary64) N) (patch (/.f64 #s(literal -1/2 binary64) N) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 N) (taylor 0 N) (#s(alt (/.f64 #s(literal -1/2 binary64) N) (patch (/.f64 #s(literal -1/2 binary64) N) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/4 (pow N 4)) (taylor 0 N) (#s(alt (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)) (patch (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/3 N) 1/4) (pow N 4)) (taylor 0 N) (#s(alt (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)) (patch (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) (taylor 0 N) (#s(alt (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)) (patch (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) (taylor 0 N) (#s(alt (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)) (patch (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/4 (pow N 3)) (taylor 0 N) (#s(alt (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (patch (neg.f64 (-.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 (/ (+ 1/4 (* -1/3 N)) (pow N 3)) (taylor 0 N) (#s(alt (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (patch (neg.f64 (-.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 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3)) (taylor 0 N) (#s(alt (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (patch (neg.f64 (-.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 (/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3)) (taylor 0 N) (#s(alt (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (patch (neg.f64 (-.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 (* -1 (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))) (patch #s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))) #<representation binary64>) () ())) ()) |
#s(alt (- N (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))) (patch #s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))) #<representation binary64>) () ())) ()) |
#s(alt (- (* N (+ 1 (* -1/2 N))) (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))) (patch #s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) (taylor -inf N) (#s(alt #s(approx (- (log (+ 1 N)) (log 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))) (patch #s(approx (- (log (+ 1 N)) (log 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))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) (taylor -inf N) (#s(alt #s(approx (- (log (+ 1 N)) (log 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))) (patch #s(approx (- (log (+ 1 N)) (log 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))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) (taylor -inf N) (#s(alt #s(approx (- (log (+ 1 N)) (log 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))) (patch #s(approx (- (log (+ 1 N)) (log 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))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (taylor -inf N) (#s(alt #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (patch #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (log (/ -1 N))) (+ (* 2 (log -1)) (/ 1 N))) (taylor -inf N) (#s(alt #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (patch #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) (* 2 (log -1)))) (taylor -inf N) (#s(alt #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (patch #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) (* 2 (log -1)))) (taylor -inf N) (#s(alt #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (patch #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 (pow N 3)) (taylor -inf N) (#s(alt (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 (pow N 3)) (taylor -inf N) (#s(alt (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 (pow N 3)) (taylor -inf N) (#s(alt (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 (pow N 3)) (taylor -inf N) (#s(alt (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6) (taylor -inf N) (#s(alt (pow.f64 (log.f64 N) #s(literal 6 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6) (taylor -inf N) (#s(alt (pow.f64 (log.f64 N) #s(literal 6 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6) (taylor -inf N) (#s(alt (pow.f64 (log.f64 N) #s(literal 6 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6) (taylor -inf N) (#s(alt (pow.f64 (log.f64 N) #s(literal 6 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6) (taylor -inf N) (#s(alt (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -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)))) 6)) (taylor -inf N) (#s(alt (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -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))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2)) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -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)))) 6)) (taylor -inf N) (#s(alt (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (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)) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -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))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2))) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -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)))) 6)) (taylor -inf N) (#s(alt (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | N | @ | -inf | ((- (/ -1/2 N) (- (/ (/ (- (/ 1/4 N) 1/3) N) N) 1)) (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) (- (/ (/ (- (/ 1/4 N) 1/3) N) N) 1)) N) (/ -1/2 N) (* (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ -1 N)) (neg (- (/ (- -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) (- (/ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N N)) (/ (/ 1 (/ -1 N)) (* N N))) (/ 1 (/ -1 N)) (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (/ (/ 1 (/ -1 N)) (* N N)) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) -1) (- (+ (* 2 (log N)) (+ (/ 1/3 (pow N 3)) (/ 1 N))) (/ 1/2 (* N N))) (/ (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) -1) (neg N)) (exp (log (pow (log (+ 1 N)) 6))) (* (- (exp (log (pow (log (+ 1 N)) 6))) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (/ (* (- (exp (log (pow (log (+ 1 N)) 6))) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (+ (pow (log (+ 1 N)) 4) (pow (log N) 4)) (pow (* (log N) (log (+ 1 N))) 2))) (- (exp (log (pow (log (+ 1 N)) 6))) (pow (log N) 6)) (/ (- (/ 1/4 N) 1/3) N) (/ (/ (- (/ 1/4 N) 1/3) N) N) (- (/ 1/4 N) 1/3) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- (log (+ N 1)) (log N)) (/ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N N)) (- (log (+ 1 N)) (log N)) (+ (log N) (log (+ 1 N))) (/ 1/3 (pow N 3)) (pow (log N) 6) (pow (log (+ 1 N)) 6)) |
| 11.0ms | N | @ | inf | ((- (/ -1/2 N) (- (/ (/ (- (/ 1/4 N) 1/3) N) N) 1)) (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) (- (/ (/ (- (/ 1/4 N) 1/3) N) N) 1)) N) (/ -1/2 N) (* (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ -1 N)) (neg (- (/ (- -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) (- (/ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N N)) (/ (/ 1 (/ -1 N)) (* N N))) (/ 1 (/ -1 N)) (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (/ (/ 1 (/ -1 N)) (* N N)) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) -1) (- (+ (* 2 (log N)) (+ (/ 1/3 (pow N 3)) (/ 1 N))) (/ 1/2 (* N N))) (/ (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) -1) (neg N)) (exp (log (pow (log (+ 1 N)) 6))) (* (- (exp (log (pow (log (+ 1 N)) 6))) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (/ (* (- (exp (log (pow (log (+ 1 N)) 6))) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (+ (pow (log (+ 1 N)) 4) (pow (log N) 4)) (pow (* (log N) (log (+ 1 N))) 2))) (- (exp (log (pow (log (+ 1 N)) 6))) (pow (log N) 6)) (/ (- (/ 1/4 N) 1/3) N) (/ (/ (- (/ 1/4 N) 1/3) N) N) (- (/ 1/4 N) 1/3) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- (log (+ N 1)) (log N)) (/ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N N)) (- (log (+ 1 N)) (log N)) (+ (log N) (log (+ 1 N))) (/ 1/3 (pow N 3)) (pow (log N) 6) (pow (log (+ 1 N)) 6)) |
| 9.0ms | N | @ | 0 | ((- (/ -1/2 N) (- (/ (/ (- (/ 1/4 N) 1/3) N) N) 1)) (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) (- (/ (/ (- (/ 1/4 N) 1/3) N) N) 1)) N) (/ -1/2 N) (* (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ -1 N)) (neg (- (/ (- -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) (- (/ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N N)) (/ (/ 1 (/ -1 N)) (* N N))) (/ 1 (/ -1 N)) (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (/ (/ 1 (/ -1 N)) (* N N)) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) -1) (- (+ (* 2 (log N)) (+ (/ 1/3 (pow N 3)) (/ 1 N))) (/ 1/2 (* N N))) (/ (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) -1) (neg N)) (exp (log (pow (log (+ 1 N)) 6))) (* (- (exp (log (pow (log (+ 1 N)) 6))) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (/ (* (- (exp (log (pow (log (+ 1 N)) 6))) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (+ (pow (log (+ 1 N)) 4) (pow (log N) 4)) (pow (* (log N) (log (+ 1 N))) 2))) (- (exp (log (pow (log (+ 1 N)) 6))) (pow (log N) 6)) (/ (- (/ 1/4 N) 1/3) N) (/ (/ (- (/ 1/4 N) 1/3) N) N) (- (/ 1/4 N) 1/3) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- (log (+ N 1)) (log N)) (/ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N N)) (- (log (+ 1 N)) (log N)) (+ (log N) (log (+ 1 N))) (/ 1/3 (pow N 3)) (pow (log N) 6) (pow (log (+ 1 N)) 6)) |
| 1× | egg-herbie |
| 7 468× | lower-fma.f64 |
| 7 468× | lower-fma.f32 |
| 6 674× | lower-*.f64 |
| 6 674× | lower-*.f32 |
| 6 102× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 875 | 14352 |
| 1 | 3007 | 13261 |
| 0 | 8579 | 12680 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -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)) |
(/ -1/2 N) |
(/ -1/2 N) |
(/ -1/2 N) |
(/ -1/2 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)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 3)) |
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3)) |
(/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (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 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 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 N) |
(* -1 N) |
(* -1 N) |
(* -1 N) |
(/ -1/4 (pow N 2)) |
(/ (- (* 1/3 N) 1/4) (pow N 2)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2)) |
(/ -1 N) |
(/ -1 N) |
(/ -1 N) |
(/ -1 N) |
-1 |
(- (* 2 (/ N (log N))) 1) |
(- (* N (+ (* -1 (* N (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1) |
(- (* N (+ (* N (- (* N (- (+ (* 2/3 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (* -1 (/ (+ (/ 1 (log N)) (* 2 (/ 1 (pow (log N) 2)))) (log N))))) (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1) |
(/ 1/4 (pow N 3)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 3)) |
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3)) |
(/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3)) |
(/ 1/3 (pow N 3)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 3)) |
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3)) |
(/ (+ 1/3 (* N (- (* N (+ 1 (* 2 (* N (log N))))) 1/2))) (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)) |
(pow N 6) |
(* (pow N 6) (+ 1 (* -3 N))) |
(* (pow N 6) (+ 1 (* N (- (* 23/4 N) 3)))) |
(* (pow N 6) (+ 1 (* N (- (* N (+ 23/4 (* -9 N))) 3)))) |
(* -1 (pow (log N) 5)) |
(+ (* -1 (pow (log N) 5)) (* N (pow (log N) 4))) |
(+ (* -1 (pow (log N) 5)) (* N (- (* -1 (* N (+ (* 1/2 (pow (log N) 4)) (pow (log N) 3)))) (* -1 (pow (log N) 4))))) |
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(+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1 (+ (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))) (* (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) (* (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2) (pow (+ (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) 2)))))) (* (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)))))) N)) (+ (* 2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -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)))))))) (* (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))))) (/ (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2) (* (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)))))) (* 2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1 (+ (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))) (* (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) (* (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2) (pow (+ (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) 2))))) N)) (* 2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)))))) N)) |
(* -2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) |
(* -1 (/ (+ (* -1 (/ (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -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))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2)) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (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)) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -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))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2))) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (+ (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))))))))) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))))) (pow (+ (* -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))))))) 2))) N)) (+ (* 2 (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (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)) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -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))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2))) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) 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 (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)) |
-1/3 |
(- (* 1/4 (/ 1 N)) 1/3) |
(- (* 1/4 (/ 1 N)) 1/3) |
(- (* 1/4 (/ 1 N)) 1/3) |
(/ -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)) |
(/ -1/2 (pow N 2)) |
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2)) |
(/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) (pow N 2)) |
(/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) (pow N 2)) |
(/ 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))) |
(+ (* -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 (pow N 3)) |
(/ 1/3 (pow N 3)) |
(/ 1/3 (pow N 3)) |
(/ 1/3 (pow N 3)) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6) |
(+ (* -2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -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)))) 6)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -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))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2)) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -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)))) 6)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (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)) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -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))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2))) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -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)))) 6)) |
| Outputs |
|---|
(/ -1/4 (pow N 3)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/.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))) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/.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))) |
(* -1 (log N)) |
(neg.f64 (log.f64 N)) |
(- N (log N)) |
(-.f64 N (log.f64 N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)) |
(/ -1/4 (pow N 4)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/.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))) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/.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))) |
(/ -1/2 N) |
(/.f64 #s(literal -1/2 binary64) N) |
(/ -1/2 N) |
(/.f64 #s(literal -1/2 binary64) N) |
(/ -1/2 N) |
(/.f64 #s(literal -1/2 binary64) N) |
(/ -1/2 N) |
(/.f64 #s(literal -1/2 binary64) N) |
(/ -1/4 (pow N 4)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/.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))) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/.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))) |
(/ 1/4 (pow N 3)) |
(/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/ (+ 1/4 (* -1/3 N)) (pow N 3)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3)) |
(/.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))) |
(/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3)) |
(/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) N) N #s(literal -1/3 binary64)) N #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(* -1 (log N)) |
(neg.f64 (log.f64 N)) |
(- N (log N)) |
(-.f64 N (log.f64 N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)) |
(/ -1/4 (pow N 3)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/.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))) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/.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))) |
(/ -1/4 (pow N 4)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/.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))) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/.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))) |
(* -1 N) |
(neg.f64 N) |
(* -1 N) |
(neg.f64 N) |
(* -1 N) |
(neg.f64 N) |
(* -1 N) |
(neg.f64 N) |
(/ -1/4 (pow N 2)) |
(/.f64 #s(literal -1/4 binary64) (*.f64 N N)) |
(/ (- (* 1/3 N) 1/4) (pow N 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N N)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2)) |
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(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #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))) (*.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 #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))) (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))) (pow.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)) #s(literal 2 binary64))) N)) N)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (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)) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -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))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2))) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -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)))) 6)) |
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64)) (/.f64 (fma.f64 (*.f64 #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))) (*.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 #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))) (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))) (pow.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)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (+.f64 (-.f64 (-.f64 (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))) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #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)) (*.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 (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)) (neg.f64 N))) N)) |
| 4 674× | lower-*.f32 |
| 4 662× | lower-*.f64 |
| 4 458× | lower-fma.f32 |
| 4 454× | lower-fma.f64 |
| 2 904× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 504 |
| 0 | 140 | 450 |
| 1 | 622 | 414 |
| 2 | 5888 | 414 |
| 0 | 8672 | 410 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.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))) |
#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)) |
(/.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) |
(/.f64 #s(literal -1/2 binary64) N) |
(*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)) |
(neg.f64 (-.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 (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #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)) |
(-.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 N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N))) |
(/.f64 #s(literal 1 binary64) (/.f64 #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) N) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)) |
(*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64))) |
(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)) |
(-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N 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)) |
(exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) |
(*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) |
(-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) |
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) |
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 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 N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N 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) N) (*.f64 N N)) |
#s(approx (- (log (+ 1 N)) (log 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))) |
#s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) |
(pow.f64 (log.f64 N) #s(literal 6 binary64)) |
(pow.f64 (log1p.f64 N) #s(literal 6 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 2 binary64)) (pow.f64 (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)) #s(literal 2 binary64))) (pow.f64 (+.f64 (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 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 N #s(literal -3 binary64))) (pow.f64 (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)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (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 (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 #s(literal -1/2 binary64) N)))) #s(literal -1 binary64))) |
(*.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(literal -1 binary64)) |
(*.f64 #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))) |
(*.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(literal 1 binary64)) |
(pow.f64 (/.f64 (+.f64 (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 #s(literal -1/2 binary64) N)) (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 2 binary64)) (pow.f64 (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)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (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 (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 #s(literal -1/2 binary64) N)))) (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 N #s(literal -3 binary64))) (pow.f64 (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)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 2 binary64)) (*.f64 (neg.f64 (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))) (neg.f64 (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 #s(literal -1/2 binary64) N) (neg.f64 (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 (pow.f64 (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (-.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)) (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 (fma.f64 #s(literal -1/8 binary64) (pow.f64 N #s(literal -3 binary64)) (pow.f64 (neg.f64 (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))) #s(literal 3 binary64))) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 (*.f64 (neg.f64 (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))) (neg.f64 (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 #s(literal -1/2 binary64) N) (neg.f64 (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 (neg.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)) #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))) |
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#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 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)) |
(*.f64 (pow.f64 (/.f64 (*.f64 N N) (*.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)) (pow.f64 N #s(literal -1 binary64))) |
(*.f64 (pow.f64 N #s(literal -2 binary64)) (pow.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)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64))) (pow.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) |
(*.f64 (pow.f64 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 (/.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) #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)) #s(literal 1 binary64)) (pow.f64 N #s(literal -2 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) (pow.f64 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)) (pow.f64 N #s(literal -2 binary64))) |
(*.f64 #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) N)) |
(*.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) (*.f64 N N))) |
(*.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) (pow.f64 N #s(literal -2 binary64)))) |
(pow.f64 (*.f64 N (/.f64 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 binary64)) |
(pow.f64 (/.f64 (pow.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) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 N (/.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)) |
(pow.f64 (pow.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) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.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) (pow.f64 N #s(literal -2 binary64))) 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) N) N) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 N) 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)) (pow.f64 N #s(literal 3 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) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 N N)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (*.f64 (neg.f64 N) 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) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64))) (*.f64 (neg.f64 N) 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) (neg.f64 N)) |
(/.f64 (pow.f64 N #s(literal -1 binary64)) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 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)) #s(literal 1 binary64)) (*.f64 N 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) N) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (*.f64 N N)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.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) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 N (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.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) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 N (/.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 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) #s(literal -1 binary64))) |
(/.f64 N (*.f64 (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))) (*.f64 N N))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64))) (*.f64 N 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)) #s(literal 1 binary64)) (*.f64 (neg.f64 N) N))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal -2 binary64))) (/.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) N)) |
(exp.f64 (*.f64 (log.f64 (pow.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) #s(literal -1 binary64))) #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)) |
#s(approx (+ (log N) (log (+ 1 N))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 N) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/3 binary64) (pow.f64 N #s(literal -1 binary64)))))) |
(*.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1/3 binary64) N)) |
(*.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 (neg.f64 N) #s(literal -3 binary64))) |
(*.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 N N) #s(literal 1/3 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal -3 binary64))) |
(pow.f64 (/.f64 (*.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3/2 binary64))) (pow.f64 N #s(literal 3/2 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) N) |
(/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) |
(/.f64 #s(literal -1/3 binary64) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 N #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (log.f64 N) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (log.f64 N))) #s(literal 6 binary64)) |
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (log.f64 N) #s(literal 6 binary64)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (log.f64 N)))) #s(literal 6 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 6 binary64)) (log.f64 (log1p.f64 N))) |
(pow.f64 (exp.f64 (log.f64 (log1p.f64 N))) #s(literal 6 binary64)) |
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (log1p.f64 N) #s(literal 6 binary64)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 6 binary64))) (log.f64 (log1p.f64 N)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (log1p.f64 N)))) #s(literal 6 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) |
Compiled 57 331 to 5 523 computations (90.4% saved)
70 alts after pruning (64 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 417 | 17 | 1 434 |
| Fresh | 4 | 47 | 51 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 424 | 70 | 1 494 |
| Status | Accuracy | Program |
|---|---|---|
| 25.1% | (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (fma.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)))))) | |
| 24.8% | (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))) | |
| 24.5% | (/.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))) | |
| 24.5% | (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))) (log.f64 N) (*.f64 (+.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 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))) (log.f64 N))) | |
| 23.4% | (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (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))))) | |
| 23.3% | (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log1p.f64 N) (log.f64 N))) | |
| 23.5% | (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))) | |
| 21.3% | (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) | |
| 23.5% | (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) | |
| ✓ | 24.4% | (/.f64 (*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) |
| 95.9% | (/.f64 (*.f64 #s(approx (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (/.f64 (fma.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) N) (/.f64 #s(literal -2 binary64) N) (fma.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) N)) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 N)) (fma.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) #s(literal 11/12 binary64)) (log.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal -1/2 binary64) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (pow.f64 N #s(literal 3 binary64))) #s(literal -2 binary64) (fma.f64 (*.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 N #s(literal 3 binary64)))) #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) N) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N) (/.f64 (pow.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64))) N))))))) N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) | |
| 96.1% | (/.f64 #s(approx (* (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)))) (neg.f64 (log.f64 N))) (fma.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (-.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 N)) (fma.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) #s(literal 11/12 binary64)) (log.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal -1/2 binary64) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (fma.f64 (*.f64 (neg.f64 (log.f64 N)) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)))) (log.f64 N))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 (log.f64 N))) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (*.f64 (log.f64 N) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (log.f64 N))) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N #s(literal 3 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (*.f64 (log.f64 N) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (log.f64 N))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (neg.f64 (log.f64 N))) (pow.f64 N #s(literal 3 binary64))) #s(literal -1/6 binary64) (*.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N) (/.f64 (neg.f64 (log.f64 N)) N) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (*.f64 (log.f64 N) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (log.f64 N))))))))))) N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) | |
| 23.5% | (-.f64 (log1p.f64 N) (log.f64 N)) | |
| 23.4% | (*.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) | |
| 21.0% | (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))) | |
| 21.1% | (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))) | |
| 21.0% | (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 (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 (log.f64 N) #s(literal -2 binary64))))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))) | |
| 18.9% | (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 (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 (log.f64 N) #s(literal -2 binary64))))) (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64)))) | |
| 31.3% | (*.f64 (/.f64 (exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))))) (exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))) (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64)))) | |
| 21.1% | (*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))) | |
| 21.1% | (*.f64 (-.f64 (log.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (-.f64 N #s(literal 1 binary64)))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))) | |
| 20.8% | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))) | |
| 21.2% | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal -1 binary64)))) | |
| 21.2% | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) #s(literal -1 binary64)))) | |
| 23.5% | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -1 binary64)))) | |
| 21.2% | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))))) | |
| 21.5% | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))) | |
| 31.3% | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 #s(approx (- (log (+ 1 N)) (log 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 (exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))))) (exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))) #s(literal -1 binary64)))) | |
| 96.1% | (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 #s(approx (- (log (+ 1 N)) (log 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 (log.f64 (fma.f64 N N N)) #s(literal -1 binary64)))) | |
| 21.1% | (*.f64 (log.f64 (fma.f64 N N N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))) | |
| 96.0% | (*.f64 #s(approx (+ (log N) (log (+ 1 N))) (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/3 binary64) (pow.f64 N #s(literal -1 binary64)))) #s(literal 3 binary64)) (*.f64 (pow.f64 N #s(literal -6 binary64)) #s(literal 1/8 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (log.f64 N) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/3 binary64) (pow.f64 N #s(literal -1 binary64))))) (pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/3 binary64) (pow.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64))))) (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64)))) | |
| 95.9% | (*.f64 #s(approx (+ (log N) (log (+ 1 N))) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/3 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) N) (*.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/3 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/3 binary64) (pow.f64 N #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 N))))) (/.f64 #s(literal 1/2 binary64) N))) (*.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/3 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/3 binary64) (pow.f64 N #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 N))))) N))) (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64)))) | |
| 96.2% | (*.f64 #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) N) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (*.f64 #s(approx (- (log (+ 1 N)) (log 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 N) (log1p.f64 N)) #s(literal -1 binary64)))) | |
| 96.4% | (*.f64 #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (/.f64 #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 (log1p.f64 N) (log.f64 N)))) | |
| 96.1% | (*.f64 #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64) N) (*.f64 N N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))) | |
| 96.2% | (*.f64 #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (*.f64 #s(approx (- (log (+ 1 N)) (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)) #s(literal 1 binary64)) (*.f64 (neg.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))))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))) | |
| 96.1% | (*.f64 #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (*.f64 (pow.f64 (/.f64 #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(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))) | |
| 26.2% | (neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64))))) | |
| 26.6% | (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) | |
| 95.3% | (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))) | |
| 26.1% | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) | |
| 23.5% | (exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64))) | |
| 23.3% | (exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64))) | |
| 96.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64) N) (*.f64 N N))) | |
| 96.4% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.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 #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 (+.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)) #s(literal 1 binary64))) (*.f64 (+.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 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)))) N)) | |
| 96.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) N)) | |
| 95.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) | |
| ✓ | 96.6% | #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)) |
| ✓ | 96.6% | #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)) |
| 96.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)) | |
| 95.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 #s(approx (/ (/ (- (/ 1/4 N) 1/3) N) N) (/.f64 #s(literal -1/3 binary64) (*.f64 N N))) #s(literal 1 binary64))) N)) | |
| 96.0% | #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)) #s(literal 1 binary64)) (*.f64 (neg.f64 N) N)) (pow.f64 N #s(literal 3 binary64))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N)))) | |
| 96.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64))) (*.f64 N N)) (*.f64 (*.f64 (neg.f64 N) N) (neg.f64 N))) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)))) | |
| 92.2% | #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))) | |
| ✓ | 92.4% | #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)) |
| 96.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (*.f64 (*.f64 N (/.f64 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 binary64))) (*.f64 (*.f64 N (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))) N))) | |
| 96.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64) N)))) | |
| 92.4% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))))) | |
| ✓ | 84.7% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| 96.5% | #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) N) (/.f64 #s(literal -1 binary64) N))) | |
| 96.5% | #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))) | |
| 96.3% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (*.f64 N N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N)))) | |
| ✓ | 96.2% | #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 N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)))) |
| 96.1% | #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 N)) (*.f64 N (pow.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))))) | |
| 92.4% | #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)) N) (/.f64 #s(literal -1 binary64) N))) | |
| 96.5% | #s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #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)))) | |
| 96.2% | #s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) N) N #s(literal -1/3 binary64)) N #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) N))) | |
| 95.3% | #s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) N))) | |
| 92.4% | #s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) N))) | |
| 95.3% | #s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (/.f64 #s(literal -1 binary64) N))) |
Compiled 6 783 to 1 939 computations (71.4% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(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(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) 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)) N) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 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 (- (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 1)) (log N)) (*.f64 #s(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) N))) |
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(/.f64 #s(approx (* (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)))) (neg.f64 (log.f64 N))) (fma.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (-.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 N)) (fma.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) #s(literal 11/12 binary64)) (log.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal -1/2 binary64) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (fma.f64 (*.f64 (neg.f64 (log.f64 N)) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)))) (log.f64 N))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 (log.f64 N))) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (*.f64 (log.f64 N) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (log.f64 N))) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N #s(literal 3 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (*.f64 (log.f64 N) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (log.f64 N))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (neg.f64 (log.f64 N))) (pow.f64 N #s(literal 3 binary64))) #s(literal -1/6 binary64) (*.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N) (/.f64 (neg.f64 (log.f64 N)) N) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (*.f64 (log.f64 N) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (log.f64 N))))))))))) N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) |
| Outputs |
|---|
#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)) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) |
2 calls:
| 26.0ms | N |
| 20.0ms | (-.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 (-.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(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) 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)) N) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 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 (- (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 1)) (log N)) (*.f64 #s(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))) (/.f64 #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)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 #s(approx (/ (/ (- (/ 1/4 N) 1/3) N) N) (/.f64 #s(literal -1/3 binary64) (*.f64 N N))) #s(literal 1 binary64))) 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(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (/.f64 #s(literal -1 binary64) 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 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64) N) (*.f64 N 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 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #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)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 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 #s(literal 1 binary64) (/.f64 (*.f64 N N) (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.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 N) (*.f64 N 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) N) (/.f64 #s(literal -1 binary64) N))) |
#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 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (*.f64 N N)) (/.f64 (*.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))) |
#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 N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64))) (*.f64 N N)) (*.f64 (*.f64 (neg.f64 N) N) (neg.f64 N))) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N 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 N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (*.f64 (*.f64 N (/.f64 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 binary64))) (*.f64 (*.f64 N (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))) N))) |
| Outputs |
|---|
#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)) |
2 calls:
| 12.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 9.0ms | N |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 1 | N |
| 96.6% | 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 (-.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(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) 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)) N) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 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 (- (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 1)) (log N)) (*.f64 #s(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))) (/.f64 #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)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 #s(approx (/ (/ (- (/ 1/4 N) 1/3) N) N) (/.f64 #s(literal -1/3 binary64) (*.f64 N N))) #s(literal 1 binary64))) 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(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (/.f64 #s(literal -1 binary64) N))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
2 calls:
| 4.0ms | N |
| 4.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 95.3% | 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 (-.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(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) 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)) N) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 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 (- (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) (/.f64 N (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))))) |
2 calls:
| 3.0ms | N |
| 2.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.4% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 92.4% | 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 (-.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(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) 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)) N) (/.f64 #s(literal -1 binary64) N))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
2 calls:
| 3.0ms | N |
| 2.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.4% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 92.4% | 1 | N |
Compiled 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 |
|---|---|---|
| 84.7% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 84.7% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0004597021528862655 | 0.0006238772936182357 |
Compiled 10 to 10 computations (0% saved)
| 1× | egg-herbie |
| 28× | +-commutative-binary64-+.f64 |
| 26× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 12× | neg-sub0-binary64--.f64-neg.f64 |
| 12× | neg-mul-1-binary64-*.f64-neg.f64 |
| 10× | *-commutative-binary64-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 154 |
| 1 | 70 | 154 |
| 2 | 90 | 154 |
| 3 | 101 | 154 |
| 4 | 108 | 154 |
| 5 | 109 | 154 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 binary64)) #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)) (log.f64 (/.f64 (+.f64 #s(literal 1 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 (/.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) (/.f64 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 (- (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 #s(literal 1 binary64) N)) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 binary64)) #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)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) N)) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 binary64)) #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)) (log.f64 (/.f64 (+.f64 #s(literal 1 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 (/.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) (/.f64 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 (- (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 #s(literal 1 binary64) N)) |
| 11 472× | lower-fma.f64 |
| 11 472× | lower-fma.f32 |
| 7 096× | lower-*.f64 |
| 7 096× | lower-*.f32 |
| 6 756× | lower-fma.f64 |
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 |
| 0 | 6 | 16 |
| 0 | 10 | 15 |
| 1 | 42 | 15 |
| 2 | 269 | 15 |
| 3 | 2627 | 15 |
| 0 | 8846 | 12 |
| 0 | 1005 | 13785 |
| 1 | 3431 | 12816 |
| 0 | 8658 | 12194 |
| 0 | 71 | 527 |
| 0 | 117 | 505 |
| 1 | 516 | 413 |
| 2 | 4459 | 403 |
| 0 | 8397 | 403 |
| 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 |
Compiled 136 to 84 computations (38.2% saved)
Compiled 242 to 138 computations (43% saved)
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