
Time bar (total: 9.7s)
| 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)
| 858.0ms | 6 434× | 1 | valid |
| 115.0ms | 1 822× | 0 | valid |
ival-log: 254.0ms (33.9% of total)ival-log1p: 245.0ms (32.7% of total)adjust: 113.0ms (15.1% of total)ival-sub: 67.0ms (8.9% of total)ival->: 28.0ms (3.7% of total)ival-<: 19.0ms (2.5% of total)ival-and: 11.0ms (1.5% of total)exact: 9.0ms (1.2% of total)ival-assert: 3.0ms (0.4% 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)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 250 | 0 | - | 1 | (25.044157177899955) | (-.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 | 249 | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 249 | 1 |
| - | 0 | 6 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 249 | 1 | 0 |
| - | 0 | 1 | 5 |
| number | freq |
|---|---|
| 0 | 7 |
| 1 | 249 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 64.0ms | 396× | 1 | valid |
| 7.0ms | 116× | 0 | valid |
Compiled 56 to 28 computations (50% saved)
ival-log: 24.0ms (44.5% of total)ival-log1p: 15.0ms (27.8% of total)adjust: 8.0ms (14.8% of total)ival-sub: 4.0ms (7.4% of total)ival-add: 2.0ms (3.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 24.2% | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 8 to 6 computations (25% 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)) |
N |
#s(literal 1 binary64) |
(log.f64 N) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 N #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (log.f64 N) |
| ✓ | accuracy | 100.0% | (log.f64 (+.f64 N #s(literal 1 binary64))) |
| ✓ | accuracy | 24.2% | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 27.0ms | 198× | 1 | valid |
| 3.0ms | 58× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-log1p: 7.0ms (33% of total)ival-log: 6.0ms (28.3% of total)adjust: 5.0ms (23.6% of total)ival-sub: 2.0ms (9.4% of total)ival-add: 1.0ms (4.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (log.f64 (+.f64 N #s(literal 1 binary64)))> |
#<alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))> |
#<alt (+.f64 N #s(literal 1 binary64))> |
#<alt (log.f64 N)> |
| Outputs |
|---|
#<alt N> |
#<alt (* N (+ 1 (* -1/2 N)))> |
#<alt (* N (+ 1 (* N (- (* 1/3 N) 1/2))))> |
#<alt (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))> |
#<alt (* -1 (log (/ 1 N)))> |
#<alt (+ (* -1 (log (/ 1 N))) (/ 1 N))> |
#<alt (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))> |
#<alt (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 N))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))> |
#<alt (* -1 (log N))> |
#<alt (- N (log N))> |
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))> |
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))> |
#<alt (/ 1 N)> |
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)> |
#<alt (/ 1 N)> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))> |
#<alt 1> |
#<alt (+ 1 N)> |
#<alt (+ 1 N)> |
#<alt (+ 1 N)> |
#<alt N> |
#<alt (* N (+ 1 (/ 1 N)))> |
#<alt (* N (+ 1 (/ 1 N)))> |
#<alt (* N (+ 1 (/ 1 N)))> |
#<alt N> |
#<alt (* N (+ 1 (/ 1 N)))> |
#<alt (* N (+ 1 (/ 1 N)))> |
#<alt (* N (+ 1 (/ 1 N)))> |
#<alt (log N)> |
#<alt (log N)> |
#<alt (log N)> |
#<alt (log N)> |
#<alt (* -1 (log (/ 1 N)))> |
#<alt (* -1 (log (/ 1 N)))> |
#<alt (* -1 (log (/ 1 N)))> |
#<alt (* -1 (log (/ 1 N)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 N))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 N))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 N))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 N))))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | N | @ | 0 | (log N) |
| 16.0ms | N | @ | -inf | (log N) |
| 6.0ms | N | @ | inf | (log N) |
| 0.0ms | N | @ | -inf | (- (log (+ N 1)) (log N)) |
| 0.0ms | N | @ | 0 | (log (+ N 1)) |
| 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 | 348 |
| 1 | 250 | 302 |
| 2 | 588 | 301 |
| 3 | 1587 | 295 |
| 4 | 4201 | 287 |
| 5 | 6272 | 287 |
| 6 | 7327 | 287 |
| 0 | 8056 | 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 (/ 1 N))) |
(+ (* -1 (log (/ 1 N))) (/ 1 N)) |
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))) |
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
(* -1 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(/ 1 N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
1 |
(+ 1 N) |
(+ 1 N) |
(+ 1 N) |
N |
(* N (+ 1 (/ 1 N))) |
(* N (+ 1 (/ 1 N))) |
(* N (+ 1 (/ 1 N))) |
N |
(* N (+ 1 (/ 1 N))) |
(* N (+ 1 (/ 1 N))) |
(* N (+ 1 (/ 1 N))) |
(log N) |
(log N) |
(log N) |
(log 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)))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
| Outputs |
|---|
N |
(* N (+ 1 (* -1/2 N))) |
(fma.f64 N (*.f64 N #s(literal -1/2 binary64)) N) |
(* N (+ 1 (* N (- (* 1/3 N) 1/2)))) |
(fma.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 N N) N) |
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2)))) |
(fma.f64 (fma.f64 N (fma.f64 N #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 N N) N) |
(* -1 (log (/ 1 N))) |
(log.f64 N) |
(+ (* -1 (log (/ 1 N))) (/ 1 N)) |
(+.f64 (/.f64 #s(literal 1 binary64) N) (log.f64 N)) |
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) (log.f64 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 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 N))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N))) |
(+.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 N)))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (neg.f64 N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
(+.f64 (log.f64 (neg.f64 N)) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) 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 N (fma.f64 N (*.f64 N #s(literal 1/2 binary64)) (log.f64 N))) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(-.f64 N (fma.f64 N (*.f64 N (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/2 binary64))) (log.f64 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) 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)) 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) 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)) N) |
1 |
#s(literal 1 binary64) |
(+ 1 N) |
(+.f64 N #s(literal 1 binary64)) |
(+ 1 N) |
(+.f64 N #s(literal 1 binary64)) |
(+ 1 N) |
(+.f64 N #s(literal 1 binary64)) |
N |
(* N (+ 1 (/ 1 N))) |
(+.f64 N #s(literal 1 binary64)) |
(* N (+ 1 (/ 1 N))) |
(+.f64 N #s(literal 1 binary64)) |
(* N (+ 1 (/ 1 N))) |
(+.f64 N #s(literal 1 binary64)) |
N |
(* N (+ 1 (/ 1 N))) |
(+.f64 N #s(literal 1 binary64)) |
(* N (+ 1 (/ 1 N))) |
(+.f64 N #s(literal 1 binary64)) |
(* N (+ 1 (/ 1 N))) |
(+.f64 N #s(literal 1 binary64)) |
(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))) |
(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 #s(literal -1 binary64)) (log.f64 (neg.f64 N))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 N))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 N))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 N))) |
| 1× | batch-egg-rewrite |
| 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 |
|---|
(log.f64 (+.f64 N #s(literal 1 binary64))) |
(exp.f64 (log.f64 (log1p.f64 N))) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 1 binary64))) |
(+.f64 (log1p.f64 N) #s(literal 0 binary64)) |
(+.f64 (log1p.f64 N) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))) |
(+.f64 (log1p.f64 N) (log.f64 (*.f64 (+.f64 N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))))) |
(+.f64 #s(literal 0 binary64) (log1p.f64 N)) |
(+.f64 (log1p.f64 (*.f64 N (*.f64 N N))) (neg.f64 (log1p.f64 (-.f64 (*.f64 N N) N)))) |
(+.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (log.f64 (+.f64 N #s(literal -1 binary64))))) |
(+.f64 (log.f64 (fma.f64 (*.f64 N N) (neg.f64 N) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))))) |
(+.f64 (log.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))) |
(+.f64 (log1p.f64 (*.f64 (neg.f64 N) N)) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))) |
(+.f64 (neg.f64 (log1p.f64 (-.f64 (*.f64 N N) N))) (log1p.f64 (*.f64 N (*.f64 N N)))) |
(+.f64 (neg.f64 (log.f64 (+.f64 N #s(literal -1 binary64)))) (log.f64 (fma.f64 N N #s(literal -1 binary64)))) |
(+.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)))) (log1p.f64 N)) |
(+.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 (*.f64 N N) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)))))) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)) (*.f64 N (*.f64 N (*.f64 N N)))))) |
(+.f64 (log.f64 (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N)))) (log.f64 (+.f64 (fma.f64 N N #s(literal -1 binary64)) N))) |
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(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) N)) |
(/.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (-.f64 (fma.f64 N (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N N)) #s(literal 1 binary64)) (*.f64 N (*.f64 N N))))) |
(/.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (fma.f64 N (*.f64 N N) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) (*.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 N (*.f64 N (*.f64 N N)) (fma.f64 N N #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N)) |
(/.f64 (fma.f64 N (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) (*.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 N N #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (*.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N))) |
(/.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) |
(/.f64 (*.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 N (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N N)) #s(literal 1 binary64)) (*.f64 N (*.f64 N N))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) |
(/.f64 (*.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 N (*.f64 N N) #s(literal -1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) |
(/.f64 (*.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 N (*.f64 N (*.f64 N N)) (fma.f64 N N #s(literal 1 binary64))) (+.f64 N #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 N (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (+.f64 N #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) (neg.f64 N) #s(literal -1 binary64))) (neg.f64 (neg.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) N))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #s(literal 1 binary64) N))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (fma.f64 N (*.f64 N N) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 N (*.f64 N (*.f64 N N)) (fma.f64 N N #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 N (*.f64 N (*.f64 N N)) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 N N #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (-.f64 (fma.f64 N (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N N)) #s(literal 1 binary64)) (*.f64 N (*.f64 N N)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N))))) (fma.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))) (fma.f64 N (/.f64 N (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (-.f64 (fma.f64 N (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N N)) #s(literal 1 binary64)) (*.f64 N (*.f64 N N)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (fma.f64 N (*.f64 N N) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))) (fma.f64 N (*.f64 N (*.f64 N N)) (fma.f64 N N #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 N (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))) (fma.f64 N N #s(literal 1 binary64))) |
(/.f64 (-.f64 (neg.f64 (*.f64 N N)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) N)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 N N)) (+.f64 N #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 N N)) (-.f64 (/.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (*.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))) |
(/.f64 (-.f64 (*.f64 (*.f64 N N) (-.f64 (/.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 N #s(literal -1 binary64)) (-.f64 (/.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)) (*.f64 (+.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 N #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) N))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 N N)) (+.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) N)) (*.f64 (-.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 N N)) (-.f64 (/.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) N)) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 N N)) (-.f64 #s(literal 1 binary64) N)) (*.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 N N) (neg.f64 N) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (*.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 N (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N N)) #s(literal 1 binary64)) (*.f64 N (*.f64 N N))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal -1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 N (*.f64 N (*.f64 N N)) (fma.f64 N N #s(literal 1 binary64))) (+.f64 N #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 N (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (+.f64 N #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))))) (neg.f64 (fma.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))))) (neg.f64 (fma.f64 N (/.f64 N (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))) (neg.f64 (-.f64 (fma.f64 N (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N N)) #s(literal 1 binary64)) (*.f64 N (*.f64 N N))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))) (neg.f64 (fma.f64 N (*.f64 N N) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))) (neg.f64 (fma.f64 N (*.f64 N (*.f64 N N)) (fma.f64 N N #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 N (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))) (neg.f64 (fma.f64 N N #s(literal 1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) |
(*.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 N #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N))) |
(*.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (+.f64 N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))) |
(*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) |
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 N N) (neg.f64 N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))) |
(*.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (fma.f64 N N #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (fma.f64 N (*.f64 N N) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (*.f64 N N) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))) |
(*.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (+.f64 N #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))))) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)) (*.f64 N (*.f64 N (*.f64 N N))))) |
(*.f64 (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N))) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N)) |
(*.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N (*.f64 N N) #s(literal -1 binary64))) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 N N))) (+.f64 N #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N N)) #s(literal 1 binary64)) (*.f64 N (*.f64 N N))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (*.f64 N N) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (*.f64 N (*.f64 N N)) (fma.f64 N N #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 N (*.f64 N (*.f64 N N)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64)))) |
(log.f64 N) |
(exp.f64 (log.f64 (log.f64 N))) |
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 1 binary64))) |
(+.f64 (log.f64 N) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (log.f64 N)) |
(pow.f64 (log.f64 N) #s(literal 1 binary64)) |
Compiled 13 693 to 1 544 computations (88.7% saved)
20 alts after pruning (20 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 450 | 20 | 470 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 451 | 20 | 471 |
| Status | Accuracy | Program |
|---|---|---|
| 26.2% | (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) | |
| ▶ | 25.5% | (/.f64 (fma.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 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N))) |
| 24.1% | (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))))) | |
| 24.4% | (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) | |
| 24.2% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (*.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (*.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) | |
| 23.9% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) | |
| 24.3% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))) | |
| 24.0% | (/.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 (log.f64 (fma.f64 N N N)))) | |
| 24.0% | (/.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) | |
| 24.0% | (/.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (*.f64 (log1p.f64 N) (log.f64 N))))))) | |
| 27.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) | |
| ▶ | 27.5% | (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) |
| 27.2% | (neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))) | |
| ▶ | 27.5% | (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
| 27.0% | (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) | |
| 27.0% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64))) | |
| 92.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) | |
| ▶ | 96.5% | #s(approx (- (log (+ N 1)) (log 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)) N)) |
| 95.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)) | |
| ▶ | 84.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
Compiled 1 100 to 478 computations (56.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (-.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))) |
| ✓ | cost-diff | 6592 | (fma.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 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) |
| ✓ | cost-diff | 20928 | (/.f64 (fma.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 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N))) |
| ✓ | cost-diff | 0 | (log.f64 (fma.f64 N N N)) |
| ✓ | cost-diff | 0 | (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))) |
| ✓ | cost-diff | 14784 | (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) |
| ✓ | cost-diff | 0 | (+.f64 N #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 N (+.f64 N #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (neg.f64 (log.f64 (/.f64 N (+.f64 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 #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)) |
| ✓ | cost-diff | 0 | (/.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)) N) |
| ✓ | cost-diff | 0 | #s(approx (- (log (+ N 1)) (log 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)) N)) |
| 15 294× | lower-fma.f32 |
| 15 288× | lower-fma.f64 |
| 3 336× | lower-*.f32 |
| 3 326× | lower-*.f64 |
| 2 476× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 380 |
| 0 | 83 | 366 |
| 1 | 135 | 365 |
| 2 | 260 | 361 |
| 3 | 610 | 361 |
| 4 | 1370 | 348 |
| 5 | 4466 | 345 |
| 0 | 8279 | 340 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log 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)) 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)) 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)) |
#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(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
(/.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
N |
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) |
(/.f64 N (+.f64 N #s(literal 1 binary64))) |
N |
(+.f64 N #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) |
(*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
(log.f64 (fma.f64 N N N)) |
(fma.f64 N N N) |
N |
(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) |
(/.f64 N (+.f64 N #s(literal 1 binary64))) |
(+.f64 N #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))) |
(neg.f64 (log.f64 (fma.f64 N N N))) |
(/.f64 (fma.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 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N))) |
(fma.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 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) |
(-.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))) |
(pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) |
(log.f64 (fma.f64 N N #s(literal -1 binary64))) |
(fma.f64 N N #s(literal -1 binary64)) |
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 N #s(literal -1 binary64))) |
(+.f64 N #s(literal -1 binary64)) |
(log.f64 N) |
(*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) |
(log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) |
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))) |
(neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N)) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log 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)) N)) |
#s(approx (- (log (+ N 1)) (log 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)) 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)) 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)) N) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.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 (+.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)) |
(+.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(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
(/.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
N |
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) |
(/.f64 N (+.f64 N #s(literal 1 binary64))) |
N |
(+.f64 N #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) |
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
(*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
(*.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N))) |
(log.f64 (fma.f64 N N N)) |
(fma.f64 N N N) |
N |
(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) |
(/.f64 N (+.f64 N #s(literal 1 binary64))) |
(+.f64 N #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))) |
(/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 N N N))) |
(neg.f64 (log.f64 (fma.f64 N N N))) |
(/.f64 (fma.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 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N))) |
(-.f64 (/.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))) (log1p.f64 (*.f64 N (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)))) (log.f64 N)) |
(fma.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 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) |
(*.f64 (log.f64 N) (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 N) (log1p.f64 (*.f64 N (-.f64 (fma.f64 N N #s(literal -1 binary64)) N))) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))))) |
(-.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))) |
(pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) |
(log.f64 (fma.f64 N N #s(literal -1 binary64))) |
(fma.f64 N N #s(literal -1 binary64)) |
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 N #s(literal -1 binary64))) |
(+.f64 N #s(literal -1 binary64)) |
(log.f64 N) |
(*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) |
(neg.f64 (*.f64 (log1p.f64 (*.f64 N (-.f64 (fma.f64 N N #s(literal -1 binary64)) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) |
(log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) |
(log1p.f64 (*.f64 N (-.f64 (fma.f64 N N #s(literal -1 binary64)) N))) |
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))) |
(neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N)) |
(*.f64 (log.f64 N) (log1p.f64 (*.f64 N (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.2% | (pow.f64 (log.f64 N) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.2% | (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.2% | (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) |
| ✓ | accuracy | 25.9% | (fma.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 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) |
| ✓ | accuracy | 99.4% | (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
| ✓ | accuracy | 27.5% | (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 N #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
| ✓ | accuracy | 100.0% | (/.f64 N (+.f64 N #s(literal 1 binary64))) |
| ✓ | accuracy | 27.5% | (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) N) |
| ✓ | accuracy | 84.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) |
| ✓ | accuracy | 99.9% | (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
| ✓ | accuracy | 99.4% | (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) |
| ✓ | accuracy | 96.6% | #s(approx (- (log (+ N 1)) (log 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)) N)) |
| 159.0ms | 198× | 1 | valid |
| 20.0ms | 58× | 0 | valid |
Compiled 384 to 47 computations (87.8% saved)
ival-log: 42.0ms (28.6% of total)adjust: 20.0ms (13.6% of total)ival-div: 19.0ms (12.9% of total)ival-mult: 17.0ms (11.6% of total)ival-pow2: 11.0ms (7.5% of total)ival-add: 10.0ms (6.8% of total)ival-log1p: 8.0ms (5.4% of total)const: 7.0ms (4.8% of total)ival-sub: 6.0ms (4.1% of total)ival-neg: 5.0ms (3.4% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt #s(approx (- (log (+ N 1)) (log 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)) N))> |
#<alt (/.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)) N)> |
#<alt (+.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))> |
#<alt (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)> |
#<alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))> |
#<alt (/.f64 #s(literal 1 binary64) N)> |
#<alt (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))> |
#<alt (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))> |
#<alt (/.f64 N (+.f64 N #s(literal 1 binary64)))> |
#<alt (+.f64 N #s(literal 1 binary64))> |
#<alt (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))> |
#<alt (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))> |
#<alt (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))> |
#<alt (log.f64 (fma.f64 N N N))> |
#<alt (/.f64 (fma.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 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N)))> |
#<alt (fma.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 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))> |
#<alt (-.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)))> |
#<alt (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))> |
#<alt (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)> |
#<alt (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))> |
#<alt (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))> |
#<alt (pow.f64 (log.f64 N) #s(literal 2 binary64))> |
| Outputs |
|---|
#<alt (* -1 (log N))> |
#<alt (- N (log N))> |
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))> |
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))> |
#<alt (/ 1 N)> |
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)> |
#<alt (/ 1 N)> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))> |
#<alt (/ -1/4 (pow N 4))> |
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))> |
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))> |
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))> |
#<alt (/ 1 N)> |
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)> |
#<alt (/ 1 N)> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))> |
#<alt (/ -1/4 (pow N 3))> |
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))> |
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))> |
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))> |
#<alt 1> |
#<alt (- 1 (* 1/2 (/ 1 N)))> |
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))> |
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))> |
#<alt 1> |
#<alt (- 1 (* 1/2 (/ 1 N)))> |
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))> |
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))> |
#<alt (/ -1/4 (pow N 3))> |
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))> |
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))> |
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))> |
#<alt (/ -1/2 N)> |
#<alt (/ (- (* 1/3 (/ 1 N)) 1/2) N)> |
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)> |
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)> |
#<alt (/ -1/2 N)> |
#<alt (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))> |
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))> |
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))> |
#<alt (* -1 (log N))> |
#<alt (- N (log N))> |
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))> |
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))> |
#<alt (/ 1 N)> |
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)> |
#<alt (/ 1 N)> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))> |
#<alt (/ 1 N)> |
#<alt (/ 1 N)> |
#<alt (/ 1 N)> |
#<alt (/ 1 N)> |
#<alt (/ 1 N)> |
#<alt (/ 1 N)> |
#<alt (/ 1 N)> |
#<alt (/ 1 N)> |
#<alt (/ 1 N)> |
#<alt (/ 1 N)> |
#<alt (/ 1 N)> |
#<alt (/ 1 N)> |
#<alt (* -1 (log N))> |
#<alt (- N (log N))> |
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))> |
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))> |
#<alt (/ 1 N)> |
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)> |
#<alt (/ 1 N)> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))> |
#<alt (log N)> |
#<alt (+ (log N) (* -1 N))> |
#<alt (+ (log N) (* N (- (* 1/2 N) 1)))> |
#<alt (+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))> |
#<alt (/ -1 N)> |
#<alt (/ (- (* 1/2 (/ 1 N)) 1) N)> |
#<alt (/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)> |
#<alt (/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)> |
#<alt (/ -1 N)> |
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))> |
#<alt N> |
#<alt (* N (+ 1 (* -1 N)))> |
#<alt (* N (+ 1 (* N (- N 1))))> |
#<alt (* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))> |
#<alt 1> |
#<alt (- 1 (/ 1 N))> |
#<alt (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))> |
#<alt (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))> |
#<alt 1> |
#<alt (- 1 (/ 1 N))> |
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 N)) N)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N)))> |
#<alt 1> |
#<alt (+ 1 N)> |
#<alt (+ 1 N)> |
#<alt (+ 1 N)> |
#<alt N> |
#<alt (* N (+ 1 (/ 1 N)))> |
#<alt (* N (+ 1 (/ 1 N)))> |
#<alt (* N (+ 1 (/ 1 N)))> |
#<alt N> |
#<alt (* N (+ 1 (/ 1 N)))> |
#<alt (* N (+ 1 (/ 1 N)))> |
#<alt (* N (+ 1 (/ 1 N)))> |
#<alt (* -1 (log N))> |
#<alt (+ N (* -1 (log N)))> |
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))> |
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))> |
#<alt (/ 1 N)> |
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)> |
#<alt (/ 1 N)> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))> |
#<alt (/ -1 (log N))> |
#<alt (- (/ N (pow (log N) 2)) (/ 1 (log N)))> |
#<alt (- (* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))> |
#<alt (- (* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (pow (log N) 2))) (* 1/2 (/ 1 (pow (log N) 3)))) (* -1 (/ (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))> |
#<alt (/ 1/2 (log (/ 1 N)))> |
#<alt (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (* N (pow (log (/ 1 N)) 2)))))> |
#<alt (- (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))))> |
#<alt (- (+ (/ 1/12 (* (pow N 3) (pow (log (/ 1 N)) 2))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3))))))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 3))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/16 (* (pow N 3) (pow (log (/ 1 N)) 3))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))))))> |
#<alt (/ 1/2 (log (/ -1 N)))> |
#<alt (+ (* 1/2 (/ 1 (log (/ -1 N)))) (* 1/4 (/ 1 (* N (pow (log (/ -1 N)) 2)))))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 3))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N)))))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/16 (/ 1 (pow (log (/ -1 N)) 3))) (+ (* 1/12 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 3))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/8 (/ 1 (pow (log (/ -1 N)) 3)))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N)))))> |
#<alt (pow (log N) 2)> |
#<alt (+ (* N (+ (log N) (* -1 (log N)))) (pow (log N) 2))> |
#<alt (+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1))))) (pow (log N) 2))> |
#<alt (+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (+ (* 1/2 (log N)) (* N (+ 1 (+ (* -1/3 (log N)) (* 1/3 (log N))))))) 1))))) (pow (log N) 2))> |
#<alt (* 2 (/ (log (/ 1 N)) N))> |
#<alt (/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (* 2 (log (/ 1 N)))) (/ 1 N)) N)> |
#<alt (/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2))))) (/ 1 N)) N)> |
#<alt (/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2)))))) (+ (/ 1 N) (* 11/12 (/ 1 (pow N 3))))) N)> |
#<alt (* 2 (/ (log (/ -1 N)) N))> |
#<alt (* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (log (/ -1 N))) 1) N))) N))> |
#<alt (* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -2/3 (log (/ -1 N))) 1) N))) 1) N))) N))> |
#<alt (* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (log (/ -1 N))) 11/12) N)) (* -2/3 (log (/ -1 N)))) 1) N))) 1) N))) N))> |
#<alt (log N)> |
#<alt (+ N (log N))> |
#<alt (+ (log N) (* N (+ 1 (* -1/2 N))))> |
#<alt (+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))> |
#<alt (* -2 (log (/ 1 N)))> |
#<alt (+ (* -2 (log (/ 1 N))) (/ 1 N))> |
#<alt (- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))> |
#<alt (- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))> |
#<alt (* -2 (log (/ -1 N)))> |
#<alt (+ (* -2 (log (/ -1 N))) (/ 1 N))> |
#<alt (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))> |
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#<alt (/ -1/3 N)> |
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)> |
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)> |
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)> |
#<alt (/ -1/3 N)> |
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))> |
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))> |
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))> |
#<alt (/ 1/4 N)> |
#<alt (/ (+ 1/4 (* -1/3 N)) N)> |
#<alt (/ (+ 1/4 (* -1/3 N)) N)> |
#<alt (/ (+ 1/4 (* -1/3 N)) N)> |
#<alt -1/3> |
#<alt (- (* 1/4 (/ 1 N)) 1/3)> |
#<alt (- (* 1/4 (/ 1 N)) 1/3)> |
#<alt (- (* 1/4 (/ 1 N)) 1/3)> |
#<alt -1/3> |
#<alt (- (* 1/4 (/ 1 N)) 1/3)> |
#<alt (- (* 1/4 (/ 1 N)) 1/3)> |
#<alt (- (* 1/4 (/ 1 N)) 1/3)> |
#<alt (pow (log -1) 2)> |
#<alt (+ (* -2 (* N (log -1))) (pow (log -1) 2))> |
#<alt (+ (* N (+ (* -2 (log -1)) (* N (+ 1 (* -1 (log -1)))))) (pow (log -1) 2))> |
#<alt (+ (* N (+ (* -2 (log -1)) (* N (+ 1 (+ (* -1 (log -1)) (* N (+ 1 (* -2/3 (log -1))))))))) (pow (log -1) 2))> |
#<alt (pow (log (/ 1 N)) 2)> |
#<alt (+ (* 2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))> |
#<alt (+ (* 2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))> |
#<alt (+ (* 2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ 1 (pow N 3)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))))> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)> |
#<alt (+ (* -1 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))> |
#<alt (+ (* -1 (/ (+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) (* 2 (log -1)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))> |
#<alt (+ (* -1 (/ (+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (- (* 2/3 (+ (log -1) (* -1 (log (/ -1 N))))) 1) N)))) N)) (* 2 (log -1)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))> |
#<alt (pow (log N) 2)> |
#<alt (pow (log N) 2)> |
#<alt (pow (log N) 2)> |
#<alt (pow (log N) 2)> |
#<alt (pow (log (/ 1 N)) 2)> |
#<alt (pow (log (/ 1 N)) 2)> |
#<alt (pow (log (/ 1 N)) 2)> |
#<alt (pow (log (/ 1 N)) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | N | @ | inf | (/ (+ (* (- (pow (log (+ (* N N) -1)) 2) (pow (log (+ N -1)) 2)) (log N)) (* (log (* (+ (* N N) -1) (+ N -1))) (neg (pow (log N) 2)))) (* (log (* (+ (* N N) -1) (+ N -1))) (log N))) |
| 5.0ms | N | @ | -inf | (/ (+ (* (- (pow (log (+ (* N N) -1)) 2) (pow (log (+ N -1)) 2)) (log N)) (* (log (* (+ (* N N) -1) (+ N -1))) (neg (pow (log N) 2)))) (* (log (* (+ (* N N) -1) (+ N -1))) (log N))) |
| 2.0ms | N | @ | 0 | (/ (+ (* (- (pow (log (+ (* N N) -1)) 2) (pow (log (+ N -1)) 2)) (log N)) (* (log (* (+ (* N N) -1) (+ N -1))) (neg (pow (log N) 2)))) (* (log (* (+ (* N N) -1) (+ N -1))) (log N))) |
| 1.0ms | N | @ | inf | (/ 1 (neg (log (+ (* N N) N)))) |
| 1.0ms | N | @ | -inf | (/ 1 (neg (log (+ (* N N) N)))) |
| 1× | egg-herbie |
| 10 226× | lower-fma.f64 |
| 10 226× | lower-fma.f32 |
| 5 926× | lower-+.f64 |
| 5 926× | lower-+.f32 |
| 4 596× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 818 | 6594 |
| 1 | 2568 | 6034 |
| 0 | 8377 | 5752 |
| 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 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)) 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)) |
(/ -1/4 (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 (* 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)) 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)) |
(/ -1/4 (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 |
(- 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 |
(- 1 (* 1/2 (/ 1 N))) |
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(/ -1/4 (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)) |
(/ -1/2 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) |
(/ -1/2 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 (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 (* 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)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(/ 1 N) |
(/ 1 N) |
(/ 1 N) |
(/ 1 N) |
(/ 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 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)) 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)) |
(log N) |
(+ (log N) (* -1 N)) |
(+ (log N) (* N (- (* 1/2 N) 1))) |
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1))) |
(/ -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 N) |
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N)) |
N |
(* N (+ 1 (* -1 N))) |
(* N (+ 1 (* N (- N 1)))) |
(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1)))) |
1 |
(- 1 (/ 1 N)) |
(- (+ 1 (/ 1 (pow N 2))) (/ 1 N)) |
(- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))) |
1 |
(- 1 (/ 1 N)) |
(+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N))) |
1 |
(+ 1 N) |
(+ 1 N) |
(+ 1 N) |
N |
(* N (+ 1 (/ 1 N))) |
(* N (+ 1 (/ 1 N))) |
(* N (+ 1 (/ 1 N))) |
N |
(* N (+ 1 (/ 1 N))) |
(* N (+ 1 (/ 1 N))) |
(* N (+ 1 (/ 1 N))) |
(* -1 (log N)) |
(+ N (* -1 (log N))) |
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(/ 1 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)) 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 (log N)) |
(- (/ N (pow (log N) 2)) (/ 1 (log N))) |
(- (* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N))) |
(- (* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (pow (log N) 2))) (* 1/2 (/ 1 (pow (log N) 3)))) (* -1 (/ (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N))) |
(/ 1/2 (log (/ 1 N))) |
(+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (* N (pow (log (/ 1 N)) 2))))) |
(- (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))) |
(- (+ (/ 1/12 (* (pow N 3) (pow (log (/ 1 N)) 2))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3))))))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 3))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/16 (* (pow N 3) (pow (log (/ 1 N)) 3))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))))) |
(/ 1/2 (log (/ -1 N))) |
(+ (* 1/2 (/ 1 (log (/ -1 N)))) (* 1/4 (/ 1 (* N (pow (log (/ -1 N)) 2))))) |
(+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 3))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/16 (/ 1 (pow (log (/ -1 N)) 3))) (+ (* 1/12 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 3))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/8 (/ 1 (pow (log (/ -1 N)) 3)))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) |
(pow (log N) 2) |
(+ (* N (+ (log N) (* -1 (log N)))) (pow (log N) 2)) |
(+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1))))) (pow (log N) 2)) |
(+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (+ (* 1/2 (log N)) (* N (+ 1 (+ (* -1/3 (log N)) (* 1/3 (log N))))))) 1))))) (pow (log N) 2)) |
(* 2 (/ (log (/ 1 N)) N)) |
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (* 2 (log (/ 1 N)))) (/ 1 N)) N) |
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2))))) (/ 1 N)) N) |
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2)))))) (+ (/ 1 N) (* 11/12 (/ 1 (pow N 3))))) N) |
(* 2 (/ (log (/ -1 N)) N)) |
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (log (/ -1 N))) 1) N))) N)) |
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -2/3 (log (/ -1 N))) 1) N))) 1) N))) N)) |
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (log (/ -1 N))) 11/12) N)) (* -2/3 (log (/ -1 N)))) 1) N))) 1) N))) N)) |
(log N) |
(+ N (log N)) |
(+ (log N) (* N (+ 1 (* -1/2 N)))) |
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(* -2 (log (/ 1 N))) |
(+ (* -2 (log (/ 1 N))) (/ 1 N)) |
(- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))) |
(- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))) |
(* -2 (log (/ -1 N))) |
(+ (* -2 (log (/ -1 N))) (/ 1 N)) |
(+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))) |
(+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))) |
(* -1 (/ (+ (* 2 (* (log -1) (log N))) (pow (log N) 2)) (log N))) |
(+ (* -1 (/ (+ (* 2 (* (log -1) (log N))) (pow (log N) 2)) (log N))) (* N (- (* -1 (/ (+ (* 3/2 (pow (log N) 2)) (* (log N) (- (* -2 (log -1)) (+ 1 (* -1 (log -1)))))) (log N))) (* -3/2 (/ (+ (* 2 (* (log -1) (log N))) (pow (log N) 2)) (log N)))))) |
(+ (* -1 (/ (+ (* 2 (* (log -1) (log N))) (pow (log N) 2)) (log N))) (* N (- (+ (* -1 (/ (+ (* 3/2 (pow (log N) 2)) (* (log N) (- (* -2 (log -1)) (+ 1 (* -1 (log -1)))))) (log N))) (* N (- (* -1 (/ (+ (* -1 (* (log N) (+ 1 (* -2/3 (log -1))))) (* 1/3 (pow (log N) 2))) (log N))) (+ (* -1/3 (/ (+ (* 2 (* (log -1) (log N))) (pow (log N) 2)) (log N))) (* 3/2 (- (* -1 (/ (+ (* 3/2 (pow (log N) 2)) (* (log N) (- (* -2 (log -1)) (+ 1 (* -1 (log -1)))))) (log N))) (* -3/2 (/ (+ (* 2 (* (log -1) (log N))) (pow (log N) 2)) (log N))))))))) (* -3/2 (/ (+ (* 2 (* (log -1) (log N))) (pow (log N) 2)) (log N)))))) |
(+ (* -1 (/ (+ (* 2 (* (log -1) (log N))) (pow (log N) 2)) (log N))) (* N (- (+ (* -1 (/ (+ (* 3/2 (pow (log N) 2)) (* (log N) (- (* -2 (log -1)) (+ 1 (* -1 (log -1)))))) (log N))) (* N (- (+ (* -1 (/ (+ (* -1 (* (log N) (+ 1 (* -2/3 (log -1))))) (* 1/3 (pow (log N) 2))) (log N))) (* N (- (* -1 (/ (+ (* 3/4 (pow (log N) 2)) (* (log N) (- (+ 1/12 (* -1 (log -1))) (* -1/2 (log -1))))) (log N))) (+ (* -3/4 (/ (+ (* 2 (* (log -1) (log N))) (pow (log N) 2)) (log N))) (+ (* 1/3 (- (* -1 (/ (+ (* 3/2 (pow (log N) 2)) (* (log N) (- (* -2 (log -1)) (+ 1 (* -1 (log -1)))))) (log N))) (* -3/2 (/ (+ (* 2 (* (log -1) (log N))) (pow (log N) 2)) (log N))))) (* 3/2 (- (* -1 (/ (+ (* -1 (* (log N) (+ 1 (* -2/3 (log -1))))) (* 1/3 (pow (log N) 2))) (log N))) (+ (* -1/3 (/ (+ (* 2 (* (log -1) (log N))) (pow (log N) 2)) (log N))) (* 3/2 (- (* -1 (/ (+ (* 3/2 (pow (log N) 2)) (* (log N) (- (* -2 (log -1)) (+ 1 (* -1 (log -1)))))) (log N))) (* -3/2 (/ (+ (* 2 (* (log -1) (log N))) (pow (log N) 2)) (log N))))))))))))) (+ (* -1/3 (/ (+ (* 2 (* (log -1) (log N))) (pow (log N) 2)) (log N))) (* 3/2 (- (* -1 (/ (+ (* 3/2 (pow (log N) 2)) (* (log N) (- (* -2 (log -1)) (+ 1 (* -1 (log -1)))))) (log N))) (* -3/2 (/ (+ (* 2 (* (log -1) (log N))) (pow (log N) 2)) (log N))))))))) (* -3/2 (/ (+ (* 2 (* (log -1) (log N))) (pow (log N) 2)) (log N)))))) |
(* 1/3 (/ (+ (* -1 (* (log (/ 1 N)) (- (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* 3 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) |
(- (+ (* 1/3 (/ (+ (* -1 (* (log (/ 1 N)) (- (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* 3 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/3 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) (* N (pow (log (/ 1 N)) 2))))) (* 1/9 (/ (+ (* -1 (* (log (/ 1 N)) (- (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* 3 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3))))) |
(- (+ (* 1/3 (/ (+ (* -1 (* (log (/ 1 N)) (- (* 4 (log (/ 1 N))) (+ 1 (log (/ 1 N)))))) (* 3/2 (pow (log (/ 1 N)) 2))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/3 (/ (+ (* -1 (* (log (/ 1 N)) (- (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* 3 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/3 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) (* N (pow (log (/ 1 N)) 2)))))) (+ (* 1/9 (/ (+ (* -1 (* (log (/ 1 N)) (- (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* 3 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))) (+ (* 1/6 (/ (+ (* -1 (* (log (/ 1 N)) (- (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* 3 (pow (log (/ 1 N)) 3))) (* (pow N 2) (pow (log (/ 1 N)) 3)))) (* 1/3 (/ (- (* 1/3 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* 1/9 (/ (+ (* -1 (* (log (/ 1 N)) (- (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* 3 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (* (pow N 2) (log (/ 1 N)))))))) |
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(* N (+ (* 2 (* (log -1) (log N))) (pow (log N) 2))) |
(* N (+ (* 2 (* (log -1) (log N))) (+ (* N (+ (* 3/2 (pow (log N) 2)) (* (log N) (- (* -2 (log -1)) (+ 1 (* -1 (log -1))))))) (pow (log N) 2)))) |
(* N (+ (* 2 (* (log -1) (log N))) (+ (* N (+ (* 3/2 (pow (log N) 2)) (+ (* N (+ (* -1 (* (log N) (+ 1 (* -2/3 (log -1))))) (* 1/3 (pow (log N) 2)))) (* (log N) (- (* -2 (log -1)) (+ 1 (* -1 (log -1)))))))) (pow (log N) 2)))) |
(* N (+ (* 2 (* (log -1) (log N))) (+ (* N (+ (* 3/2 (pow (log N) 2)) (+ (* N (+ (* -1 (* (log N) (+ 1 (* -2/3 (log -1))))) (+ (* 1/3 (pow (log N) 2)) (* N (+ (* 3/4 (pow (log N) 2)) (* (log N) (- (+ 1/12 (* -1 (log -1))) (* -1/2 (log -1))))))))) (* (log N) (- (* -2 (log -1)) (+ 1 (* -1 (log -1)))))))) (pow (log N) 2)))) |
(+ (* -1 (* (log (/ 1 N)) (- (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* 3 (pow (log (/ 1 N)) 3))) |
(+ (* -1 (* (log (/ 1 N)) (- (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 3 (pow (log (/ 1 N)) 3)) (/ (pow (log (/ 1 N)) 2) N)))) |
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(+ (* -1 (* (log (/ 1 N)) (- (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* -1 (/ (* (log (/ 1 N)) (- (* 4 (log (/ 1 N))) (+ 1 (log (/ 1 N))))) (pow N 2))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 3/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 3 (pow (log (/ 1 N)) 3)) (+ (/ (* (log (/ 1 N)) (+ 1 (* 2/3 (log (/ 1 N))))) (pow N 3)) (/ (pow (log (/ 1 N)) 2) N)))))))) |
(+ (* -1 (* (+ (log -1) (* -3 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* 4 (pow (log (/ -1 N)) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) |
(+ (* -1 (* (+ (log -1) (* -3 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1 (/ (+ (* -1 (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* 4 (pow (log (/ -1 N)) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) |
(+ (* -1 (* (+ (log -1) (* -3 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1 (/ (+ (* -1 (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (+ (* 3/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* 4 (log (/ -1 N))) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* 4 (pow (log (/ -1 N)) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) |
(+ (* -1 (* (+ (log -1) (* -3 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1 (/ (+ (* -1 (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ (log -1) (* -1 (log (/ -1 N)))) (- 1 (* 2/3 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (+ (* 3/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* 4 (log (/ -1 N))) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* 4 (pow (log (/ -1 N)) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) |
(* 2 (* N (log -1))) |
(* N (- (* N (- (* -2 (log -1)) (+ 1 (* -1 (log -1))))) (* -2 (log -1)))) |
(* N (- (* N (- (+ (* -2 (log -1)) (* -1 (* N (+ 1 (* -2/3 (log -1)))))) (+ 1 (* -1 (log -1))))) (* -2 (log -1)))) |
(* N (- (* N (- (+ (* -2 (log -1)) (* N (- (* N (- (+ 1/12 (* -1 (log -1))) (* -1/2 (log -1)))) (+ 1 (* -2/3 (log -1)))))) (+ 1 (* -1 (log -1))))) (* -2 (log -1)))) |
(- (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) |
(- (+ (* -2 (/ (log (/ 1 N)) N)) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2)) |
(- (+ (* 4 (/ (log (/ 1 N)) (pow N 2))) (* 4 (pow (log (/ 1 N)) 2))) (+ (* 2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) |
(- (+ (* -1 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (pow N 3))) (+ (* 4 (/ (log (/ 1 N)) (pow N 2))) (* 4 (pow (log (/ 1 N)) 2)))) (+ (* 2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) |
(- (* 4 (pow (log (/ -1 N)) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(- (+ (* -2 (/ (log (/ -1 N)) N)) (+ (* 2 (/ (log -1) N)) (* 4 (pow (log (/ -1 N)) 2)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 4 (log (/ -1 N))) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) N)) (* 4 (pow (log (/ -1 N)) 2))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) (* 4 (log (/ -1 N)))) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) N)) (* 4 (pow (log (/ -1 N)) 2))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(pow (log -1) 2) |
(+ (* -2 (* (pow N 2) (log -1))) (pow (log -1) 2)) |
(+ (* (pow N 2) (+ (* -2 (log -1)) (* (pow N 2) (+ 1 (* -1 (log -1)))))) (pow (log -1) 2)) |
(+ (* (pow N 2) (+ (* -2 (log -1)) (* (pow N 2) (+ 1 (+ (* -1 (log -1)) (* (pow N 2) (+ 1 (* -2/3 (log -1))))))))) (pow (log -1) 2)) |
(* 4 (pow (log (/ 1 N)) 2)) |
(+ (* 4 (/ (log (/ 1 N)) (pow N 2))) (* 4 (pow (log (/ 1 N)) 2))) |
(+ (* 2 (/ (log (/ 1 N)) (pow N 4))) (+ (* 4 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 4))))) |
(+ (* 4/3 (/ (log (/ 1 N)) (pow N 6))) (+ (* 2 (/ (log (/ 1 N)) (pow N 4))) (+ (* 4 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 4)) (/ 1 (pow N 6))))))) |
(* 4 (pow (log (/ -1 N)) 2)) |
(+ (* 4 (/ (log (/ -1 N)) (pow N 2))) (* 4 (pow (log (/ -1 N)) 2))) |
(+ (* 2 (/ (log (/ -1 N)) (pow N 4))) (+ (* 4 (/ (log (/ -1 N)) (pow N 2))) (+ (* 4 (pow (log (/ -1 N)) 2)) (/ 1 (pow N 4))))) |
(+ (* 4/3 (/ (log (/ -1 N)) (pow N 6))) (+ (* 2 (/ (log (/ -1 N)) (pow N 4))) (+ (* 4 (/ (log (/ -1 N)) (pow N 2))) (+ (* 4 (pow (log (/ -1 N)) 2)) (+ (/ 1 (pow N 4)) (/ 1 (pow N 6))))))) |
(/ 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)) |
(/ -1/3 N) |
(/ (- (* 1/4 (/ 1 N)) 1/3) N) |
(/ (- (* 1/4 (/ 1 N)) 1/3) N) |
(/ (- (* 1/4 (/ 1 N)) 1/3) N) |
(/ -1/3 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)) |
(/ 1/4 N) |
(/ (+ 1/4 (* -1/3 N)) N) |
(/ (+ 1/4 (* -1/3 N)) N) |
(/ (+ 1/4 (* -1/3 N)) N) |
-1/3 |
(- (* 1/4 (/ 1 N)) 1/3) |
(- (* 1/4 (/ 1 N)) 1/3) |
(- (* 1/4 (/ 1 N)) 1/3) |
-1/3 |
(- (* 1/4 (/ 1 N)) 1/3) |
(- (* 1/4 (/ 1 N)) 1/3) |
(- (* 1/4 (/ 1 N)) 1/3) |
(pow (log -1) 2) |
(+ (* -2 (* N (log -1))) (pow (log -1) 2)) |
(+ (* N (+ (* -2 (log -1)) (* N (+ 1 (* -1 (log -1)))))) (pow (log -1) 2)) |
(+ (* N (+ (* -2 (log -1)) (* N (+ 1 (+ (* -1 (log -1)) (* N (+ 1 (* -2/3 (log -1))))))))) (pow (log -1) 2)) |
(pow (log (/ 1 N)) 2) |
(+ (* 2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2)) |
(+ (* 2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2)))) |
(+ (* 2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ 1 (pow N 3)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2)))))) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) |
(+ (* -1 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(+ (* -1 (/ (+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) (* 2 (log -1)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(+ (* -1 (/ (+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (- (* 2/3 (+ (log -1) (* -1 (log (/ -1 N))))) 1) N)))) N)) (* 2 (log -1)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(pow (log N) 2) |
(pow (log N) 2) |
(pow (log N) 2) |
(pow (log N) 2) |
(pow (log (/ 1 N)) 2) |
(pow (log (/ 1 N)) 2) |
(pow (log (/ 1 N)) 2) |
(pow (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)) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 N N) N) (log.f64 N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(-.f64 (fma.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 N N) N) (log.f64 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) |
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(- (+ (* -1 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (pow N 3))) (+ (* 4 (/ (log (/ 1 N)) (pow N 2))) (* 4 (pow (log (/ 1 N)) 2)))) (+ (* 2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) |
(-.f64 (fma.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (/.f64 (log.f64 N) (*.f64 N N)))) (neg.f64 (/.f64 (fma.f64 (log.f64 N) #s(literal -2/3 binary64) #s(literal 1 binary64)) (*.f64 N (*.f64 N N))))) (+.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (/.f64 (log.f64 N) (*.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 (*.f64 (log.f64 N) #s(literal -2 binary64)) N)))) |
(- (* 4 (pow (log (/ -1 N)) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(fma.f64 #s(literal 4 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) |
(- (+ (* -2 (/ (log (/ -1 N)) N)) (+ (* 2 (/ (log -1) N)) (* 4 (pow (log (/ -1 N)) 2)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) N) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal -2 binary64) N)))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 4 (log (/ -1 N))) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) N)) (* 4 (pow (log (/ -1 N)) 2))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(-.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (neg.f64 N)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (log.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))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) (* 4 (log (/ -1 N)))) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) N)) (* 4 (pow (log (/ -1 N)) 2))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(-.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) N)) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (neg.f64 N)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (log.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))) |
(pow (log -1) 2) |
(pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) |
(+ (* -2 (* (pow N 2) (log -1))) (pow (log -1) 2)) |
(*.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 N N) (log.f64 #s(literal -1 binary64)))) |
(+ (* (pow N 2) (+ (* -2 (log -1)) (* (pow N 2) (+ 1 (* -1 (log -1)))))) (pow (log -1) 2)) |
(fma.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 N N) (log.f64 #s(literal -1 binary64))) (*.f64 (*.f64 N N) (*.f64 N (fma.f64 (neg.f64 N) (log.f64 #s(literal -1 binary64)) N)))) |
(+ (* (pow N 2) (+ (* -2 (log -1)) (* (pow N 2) (+ 1 (+ (* -1 (log -1)) (* (pow N 2) (+ 1 (* -2/3 (log -1))))))))) (pow (log -1) 2)) |
(fma.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 N N) (log.f64 #s(literal -1 binary64))) (*.f64 N (*.f64 N (*.f64 (*.f64 N N) (fma.f64 N (fma.f64 N (*.f64 #s(literal -2/3 binary64) (log.f64 #s(literal -1 binary64))) N) (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64)))))))) |
(* 4 (pow (log (/ 1 N)) 2)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) |
(+ (* 4 (/ (log (/ 1 N)) (pow N 2))) (* 4 (pow (log (/ 1 N)) 2))) |
(*.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (/.f64 (log.f64 N) (*.f64 N N))))) |
(+ (* 2 (/ (log (/ 1 N)) (pow N 4))) (+ (* 4 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 4))))) |
(+.f64 (/.f64 (*.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 N #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (/.f64 (log.f64 N) (*.f64 N N)))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))))) |
(+ (* 4/3 (/ (log (/ 1 N)) (pow N 6))) (+ (* 2 (/ (log (/ 1 N)) (pow N 4))) (+ (* 4 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 4)) (/ 1 (pow N 6))))))) |
(+.f64 (/.f64 (*.f64 #s(literal -4/3 binary64) (log.f64 N)) (pow.f64 N #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (/.f64 (log.f64 N) (*.f64 N N)))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64)))) (/.f64 (*.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 N #s(literal 4 binary64)))))) |
(* 4 (pow (log (/ -1 N)) 2)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))) |
(+ (* 4 (/ (log (/ -1 N)) (pow N 2))) (* 4 (pow (log (/ -1 N)) 2))) |
(*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))) |
(+ (* 2 (/ (log (/ -1 N)) (pow N 4))) (+ (* 4 (/ (log (/ -1 N)) (pow N 2))) (+ (* 4 (pow (log (/ -1 N)) 2)) (/ 1 (pow N 4))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (pow.f64 N #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))))) |
(+ (* 4/3 (/ (log (/ -1 N)) (pow N 6))) (+ (* 2 (/ (log (/ -1 N)) (pow N 4))) (+ (* 4 (/ (log (/ -1 N)) (pow N 2))) (+ (* 4 (pow (log (/ -1 N)) 2)) (+ (/ 1 (pow N 4)) (/ 1 (pow N 6))))))) |
(fma.f64 #s(literal 4/3 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (pow.f64 N #s(literal 6 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (pow.f64 N #s(literal 4 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64)))))) |
(/ 1/4 (pow N 2)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 N N)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 2)) |
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 2)) |
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 2)) |
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N)) |
(/ -1/3 N) |
(/.f64 #s(literal -1/3 binary64) N) |
(/ (- (* 1/4 (/ 1 N)) 1/3) N) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) |
(/ (- (* 1/4 (/ 1 N)) 1/3) N) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) |
(/ (- (* 1/4 (/ 1 N)) 1/3) N) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) |
(/ -1/3 N) |
(/.f64 #s(literal -1/3 binary64) N) |
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)) |
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (neg.f64 N)) |
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)) |
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (neg.f64 N)) |
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)) |
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (neg.f64 N)) |
(/ 1/4 N) |
(/.f64 #s(literal 1/4 binary64) N) |
(/ (+ 1/4 (* -1/3 N)) N) |
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) N) |
(/ (+ 1/4 (* -1/3 N)) N) |
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) N) |
(/ (+ 1/4 (* -1/3 N)) N) |
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) N) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* 1/4 (/ 1 N)) 1/3) |
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
(- (* 1/4 (/ 1 N)) 1/3) |
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
(- (* 1/4 (/ 1 N)) 1/3) |
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* 1/4 (/ 1 N)) 1/3) |
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
(- (* 1/4 (/ 1 N)) 1/3) |
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
(- (* 1/4 (/ 1 N)) 1/3) |
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
(pow (log -1) 2) |
(pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) |
(+ (* -2 (* N (log -1))) (pow (log -1) 2)) |
(*.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) N (log.f64 #s(literal -1 binary64)))) |
(+ (* N (+ (* -2 (log -1)) (* N (+ 1 (* -1 (log -1)))))) (pow (log -1) 2)) |
(fma.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) N (log.f64 #s(literal -1 binary64))) (*.f64 N (fma.f64 (neg.f64 N) (log.f64 #s(literal -1 binary64)) N))) |
(+ (* N (+ (* -2 (log -1)) (* N (+ 1 (+ (* -1 (log -1)) (* N (+ 1 (* -2/3 (log -1))))))))) (pow (log -1) 2)) |
(fma.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) N (log.f64 #s(literal -1 binary64))) (*.f64 (*.f64 N N) (fma.f64 N (fma.f64 #s(literal -2/3 binary64) (log.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64)))))) |
(pow (log (/ 1 N)) 2) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(+ (* 2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2)) |
(+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (*.f64 (log.f64 N) #s(literal -2 binary64)) N)) |
(+ (* 2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2)))) |
(+.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (/.f64 (log.f64 N) (*.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 (*.f64 (log.f64 N) #s(literal -2 binary64)) N))) |
(+ (* 2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ 1 (pow N 3)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2)))))) |
(+.f64 (/.f64 (*.f64 (log.f64 N) #s(literal -2 binary64)) N) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (/.f64 (log.f64 N) (*.f64 N N)))))) (/.f64 (*.f64 (log.f64 N) #s(literal -2/3 binary64)) (*.f64 N (*.f64 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)) |
(+ (* -1 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 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 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64)))) N)) |
(+ (* -1 (/ (+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) (* 2 (log -1)))) 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 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N))) N)) |
(+ (* -1 (/ (+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (- (* 2/3 (+ (log -1) (* -1 (log (/ -1 N))))) 1) N)))) N)) (* 2 (log -1)))) 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 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 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 #s(literal 2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64)) N)) N))) N)) |
(pow (log N) 2) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(pow (log N) 2) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(pow (log N) 2) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(pow (log N) 2) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(pow (log (/ 1 N)) 2) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(pow (log (/ 1 N)) 2) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(pow (log (/ 1 N)) 2) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(pow (log (/ 1 N)) 2) |
(pow.f64 (log.f64 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)) |
(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)) |
| 1× | batch-egg-rewrite |
| 4 760× | lower-*.f32 |
| 4 750× | lower-*.f64 |
| 4 536× | lower-/.f32 |
| 4 520× | lower-/.f64 |
| 2 708× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 263 |
| 0 | 83 | 258 |
| 1 | 317 | 256 |
| 2 | 2350 | 256 |
| 0 | 9043 | 244 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log 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)) 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)) N) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) |
(/.f64 (-.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) |
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) |
(/.f64 N (+.f64 N #s(literal 1 binary64))) |
(+.f64 N #s(literal 1 binary64)) |
(*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))) |
(*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
(log.f64 (fma.f64 N N N)) |
(/.f64 (fma.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 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N))) |
(fma.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 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) |
(-.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))) |
(pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 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)) |
(pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log 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)) N)) |
(exp.f64 (*.f64 (log.f64 (/.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)))) #s(literal -1 binary64))) |
(neg.f64 (/.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)) (neg.f64 N))) |
(neg.f64 (/.f64 (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))) N)) |
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.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))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))) |
(/.f64 (+.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) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.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))) #s(literal 1 binary64)))) |
(/.f64 (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))) (neg.f64 N)) |
(/.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)) (*.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 -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (*.f64 N (*.f64 N N)))) (*.f64 N (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) (-.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 (-.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)) (-.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 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) |
(/.f64 (*.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)) (*.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 -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (*.f64 N (*.f64 N N)))) #s(literal 1 binary64)) (*.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) (-.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)) N)) |
(/.f64 (*.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)) (*.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 -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (*.f64 N (*.f64 N N)))) #s(literal -1 binary64)) (*.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) (-.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 (*.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)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))) (*.f64 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)) N)) |
(/.f64 (*.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)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))) (*.f64 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)) (neg.f64 N))) |
(/.f64 (neg.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)) (*.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 -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (*.f64 N (*.f64 N N))))) (neg.f64 (*.f64 N (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) (-.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 #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)) (-.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 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))) |
(/.f64 (neg.f64 (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)))) (neg.f64 (neg.f64 N))) |
(/.f64 (*.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)) N) |
(/.f64 (*.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)) (neg.f64 N)) |
(/.f64 (*.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)) (*.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 -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (*.f64 N (*.f64 N N)))) (/.f64 #s(literal 1 binary64) N)) (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) (-.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 (*.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)) (-.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) N)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))) |
(/.f64 (neg.f64 (*.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)) (*.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 -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (*.f64 N (*.f64 N N)))) #s(literal 1 binary64))) (neg.f64 (*.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) (-.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)) N))) |
(/.f64 (neg.f64 (*.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)) (*.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 -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (*.f64 N (*.f64 N N)))) #s(literal -1 binary64))) (neg.f64 (*.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) (-.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 (-.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)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))) (*.f64 N N))) #s(literal 1 binary64))) (neg.f64 (*.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)) N))) |
(/.f64 (neg.f64 (*.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)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))) (*.f64 N N))) #s(literal -1 binary64))) (neg.f64 (*.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)) (neg.f64 N)))) |
(/.f64 (neg.f64 (neg.f64 (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))))) (neg.f64 (neg.f64 (neg.f64 N)))) |
(/.f64 (neg.f64 (*.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))) (neg.f64 N)) |
(/.f64 (neg.f64 (*.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))) (neg.f64 (neg.f64 N))) |
(/.f64 (neg.f64 (*.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)) (*.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 -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (*.f64 N (*.f64 N N)))) (/.f64 #s(literal 1 binary64) N))) (neg.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) (-.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 #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)) (-.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) N))) (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)))) |
(pow.f64 (/.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))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.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))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #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)) 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)) (/.f64 #s(literal 1 binary64) N)) |
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))) |
(*.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 (/.f64 #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))) #s(literal -1 binary64))) |
(*.f64 (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 #s(literal -1 binary64) N)) |
(*.f64 (*.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 #s(literal 1 binary64) N)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal 1 binary64)) N)) |
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(/.f64 (neg.f64 (neg.f64 N)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 N)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 N))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 N))))) |
(pow.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 N (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) N) |
(*.f64 (/.f64 N (fma.f64 N (*.f64 N N) #s(literal 1 binary64))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) |
(*.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64))) |
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(+.f64 N #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) N) |
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(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) #s(literal -1 binary64))) |
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(-.f64 #s(literal 1 binary64) (neg.f64 N)) |
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(*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) |
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(/.f64 (*.f64 (*.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N))) #s(literal -1 binary64)) (log.f64 (fma.f64 N N N))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N)))) (log.f64 (fma.f64 N N N))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N))))) (neg.f64 (log.f64 (fma.f64 N N N)))) |
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(/.f64 (neg.f64 (*.f64 (*.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N))) #s(literal -1 binary64))) (neg.f64 (log.f64 (fma.f64 N N N)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N))))) (neg.f64 (log.f64 (fma.f64 N N N)))) |
(pow.f64 (/.f64 (neg.f64 (log.f64 (fma.f64 N N N))) (*.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))))) |
(*.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (*.f64 (log.f64 (fma.f64 N N N)) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 N N N))))) |
(*.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (/.f64 (log.f64 (fma.f64 N N N)) (neg.f64 (log.f64 (fma.f64 N N N))))) |
(*.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N)))) |
(*.f64 (*.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N))) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 N N N)))) |
(*.f64 (neg.f64 (log.f64 (fma.f64 N N N))) (/.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 N N N))) (*.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N)))) |
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))) (log.f64 (fma.f64 N N N))) |
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) #s(literal 1 binary64)) (/.f64 (log.f64 (fma.f64 N N N)) (log.f64 (fma.f64 N N N)))) |
(*.f64 (/.f64 (*.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N)))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 N N N))) (log.f64 (fma.f64 N N N))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (fma.f64 N N N)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N)))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))) |
(/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 N N N))) |
(pow.f64 (neg.f64 (log.f64 (fma.f64 N N N))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (neg.f64 (log.f64 (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 (fma.f64 N N N))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 N N N)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 N N N))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (neg.f64 (log.f64 (fma.f64 N N N))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (log.f64 (fma.f64 N N N))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N)))) |
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(*.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (*.f64 (log.f64 (fma.f64 N N N)) #s(literal 1 binary64))) |
(*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
(*.f64 (log.f64 (fma.f64 N N N)) (*.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N))) #s(literal 1 binary64)) |
(log.f64 (fma.f64 N N N)) |
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 N N N)))) |
(+.f64 (log1p.f64 N) (log.f64 N)) |
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(+.f64 (log.f64 (fma.f64 (*.f64 N N) (*.f64 N (*.f64 N (*.f64 N N))) (*.f64 N (*.f64 N N)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N (*.f64 N N)) (*.f64 N (*.f64 N (*.f64 N N))))))) |
(+.f64 (log.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N (neg.f64 N)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N (neg.f64 N))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 N (-.f64 N (*.f64 N N)) (*.f64 N (*.f64 N (*.f64 N N)))) (fma.f64 (*.f64 N N) (*.f64 N (*.f64 N (*.f64 N N))) (*.f64 N (*.f64 N N)))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 N N (neg.f64 N)) (*.f64 (fma.f64 N N N) (fma.f64 N N (neg.f64 N)))))) |
(-.f64 (log.f64 (fma.f64 (*.f64 N N) (*.f64 N (*.f64 N (*.f64 N N))) (*.f64 N (*.f64 N N)))) (log.f64 (fma.f64 N (-.f64 N (*.f64 N N)) (*.f64 N (*.f64 N (*.f64 N N)))))) |
(-.f64 (log.f64 (fma.f64 (*.f64 N N) (*.f64 N (*.f64 N (*.f64 N N))) (*.f64 N (*.f64 N N)))) (log.f64 (fma.f64 N N (-.f64 (*.f64 N (*.f64 N (*.f64 N N))) (*.f64 N (*.f64 N N)))))) |
(-.f64 (log.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N (neg.f64 N)))) (log.f64 (fma.f64 N N (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 (neg.f64 (fma.f64 (*.f64 N N) (*.f64 N (*.f64 N (*.f64 N N))) (*.f64 N (*.f64 N N))))) (log.f64 (neg.f64 (fma.f64 N (-.f64 N (*.f64 N N)) (*.f64 N (*.f64 N (*.f64 N N))))))) |
(-.f64 (log.f64 (neg.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N (neg.f64 N))))) (log.f64 (neg.f64 (fma.f64 N N (neg.f64 N))))) |
(-.f64 (log.f64 (-.f64 (*.f64 N N) (*.f64 N (*.f64 N (*.f64 N N))))) (log.f64 (-.f64 N (*.f64 N N)))) |
(-.f64 (log.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N)) (log.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) |
(fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (log1p.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)) |
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(*.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) |
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(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal -1/9 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (neg.f64 N)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))))) (neg.f64 (neg.f64 (neg.f64 N)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 N))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 N (*.f64 N N))) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) N))) (neg.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) N))) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))) |
(pow.f64 (/.f64 N (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 N (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 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)) (/.f64 #s(literal 1 binary64) N)) |
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))) (/.f64 #s(literal -1 binary64) N)) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N)) |
(*.f64 (pow.f64 (/.f64 N (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 N (*.f64 N N))) #s(literal -1/27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N))))) |
(*.f64 (pow.f64 (/.f64 N (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal -1/9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))) |
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
(+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) |
(-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N) #s(literal -1/3 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/4 binary64) #s(literal -1/3 binary64)) |
(fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) N) #s(literal -1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 N (*.f64 N N))) #s(literal -1/27 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal -1/9 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 N (*.f64 N N))) #s(literal -1/27 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal -1/9 binary64))))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 N (*.f64 N N))) #s(literal -1/27 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N)))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 N (*.f64 N N))) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (/.f64 #s(literal -1/12 binary64) N)))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal -1/9 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 N (*.f64 N N))) #s(literal -1/27 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 N (*.f64 N N))) #s(literal -1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (/.f64 #s(literal -1/12 binary64) N))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal -1/9 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 N N))) (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (+.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 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 N (*.f64 N N))) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 N N)))) (neg.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)))) |
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 N (*.f64 N N))) #s(literal -1/27 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal -1/9 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 N (*.f64 N N))) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (+.f64 N #s(literal -1 binary64)))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (+.f64 N #s(literal -1 binary64))))) #s(literal 1 binary64))) |
(pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 (+.f64 N #s(literal -1 binary64))))) |
(*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 N)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 N))) #s(literal 1 binary64))) |
(exp.f64 (+.f64 (log.f64 (log.f64 N)) (log.f64 (log.f64 N)))) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 N))) |
(*.f64 (log.f64 N) (log.f64 N)) |
(*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) |
Compiled 32 200 to 3 261 computations (89.9% saved)
45 alts after pruning (42 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 937 | 32 | 969 |
| Fresh | 5 | 10 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 944 | 45 | 989 |
| Status | Accuracy | Program |
|---|---|---|
| 26.2% | (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) | |
| ✓ | 25.5% | (/.f64 (fma.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 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N))) |
| 25.1% | (/.f64 (fma.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N))) | |
| 24.0% | (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (fma.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (fma.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N))) | |
| 24.1% | (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))))) | |
| ▶ | 24.0% | (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) |
| 24.0% | (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))) | |
| 24.4% | (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) | |
| 24.1% | (/.f64 (-.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N)) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N))) | |
| 23.9% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) | |
| 24.3% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))) | |
| 24.9% | (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) | |
| 27.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) | |
| 27.5% | (*.f64 (*.f64 (-.f64 (log.f64 (fma.f64 (*.f64 N N) (*.f64 N (*.f64 N (*.f64 N N))) (*.f64 N (*.f64 N N)))) (log.f64 (fma.f64 N (-.f64 N (*.f64 N N)) (*.f64 N (*.f64 N (*.f64 N N)))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) | |
| 27.5% | (*.f64 (*.f64 (-.f64 (log.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N)) (log.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) | |
| 27.5% | (*.f64 (*.f64 (-.f64 (log.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) | |
| 27.5% | (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (log.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N (neg.f64 N)))) (log.f64 (fma.f64 N N (neg.f64 N))))))) | |
| 27.5% | (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (log.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (+.f64 N #s(literal -1 binary64))))))) | |
| 27.5% | (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))) | |
| 27.5% | (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 N N N))))))) | |
| 24.9% | (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))))))) | |
| 24.7% | (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) #s(approx (/ 1 (neg (log (+ (* N N) N)))) (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 N)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))))) (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N (*.f64 N (*.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (*.f64 N (*.f64 N N)) (neg.f64 (log.f64 N)))) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 N (*.f64 N N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 N (*.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))))) | |
| ▶ | 24.9% | (*.f64 (*.f64 #s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) |
| 27.5% | (*.f64 (neg.f64 (log.f64 (fma.f64 N N N))) (/.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N)))) | |
| 96.1% | (*.f64 #s(approx (* (log (+ (* N N) N)) (log (/ N (+ N 1)))) (/.f64 (+.f64 (/.f64 (log.f64 N) N) (+.f64 (+.f64 (/.f64 (*.f64 (log.f64 N) #s(literal -2/3 binary64)) (*.f64 N N)) (fma.f64 (log.f64 N) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (-.f64 (/.f64 (*.f64 (log.f64 N) #s(literal 1/2 binary64)) (*.f64 N (*.f64 N N))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 11/12 binary64) (*.f64 N (*.f64 N N))))))) N)) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) | |
| 25.3% | (neg.f64 (fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))) | |
| 24.0% | (neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))) | |
| ▶ | 27.2% | (neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))) |
| ✓ | 27.5% | (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
| 27.0% | (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) | |
| 27.0% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64))) | |
| 96.4% | #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)) | |
| 96.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N)) | |
| ▶ | 92.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
| 95.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N)) | |
| 96.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))))) N)) | |
| 84.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (*.f64 N (*.f64 N N))))) N)) | |
| 96.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N)))) N)) | |
| ▶ | 96.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))) |
| ✓ | 84.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| 96.3% | #s(approx (- (log (+ N 1)) (log N)) (*.f64 (pow.f64 (/.f64 N (+.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)) (*.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 -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (*.f64 N (*.f64 N N))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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) (-.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))))) | |
| 96.3% | #s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 (/.f64 #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))) #s(literal -1 binary64)))) | |
| 96.4% | #s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) 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)))) | |
| 92.0% | #s(approx (- (log (+ N 1)) (log N)) (exp.f64 (*.f64 (log.f64 (/.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)))) #s(literal -1 binary64)))) | |
| 96.0% | #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) N) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))) |
Compiled 2 877 to 1 304 computations (54.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log1p.f64 N) |
| ✓ | cost-diff | 0 | (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | #s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))) |
| ✓ | cost-diff | 192 | (*.f64 (*.f64 #s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 N N) N) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))) |
| ✓ | cost-diff | 704 | (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) N) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
| ✓ | cost-diff | 0 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
| ✓ | cost-diff | 0 | (+.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)) |
| ✓ | cost-diff | 0 | (/.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))) |
| ✓ | cost-diff | 0 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) |
| 9 320× | lower-fma.f32 |
| 9 312× | lower-fma.f64 |
| 2 538× | lower-*.f32 |
| 2 530× | lower-*.f64 |
| 1 648× | lower-+.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 467 |
| 0 | 99 | 459 |
| 1 | 162 | 456 |
| 2 | 287 | 452 |
| 3 | 599 | 452 |
| 4 | 1256 | 427 |
| 5 | 2865 | 427 |
| 6 | 6762 | 427 |
| 0 | 8063 | 427 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))) |
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) |
#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))) |
N |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) |
#s(literal -1/2 binary64) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) |
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
(/.f64 #s(literal 1/4 binary64) N) |
#s(literal 1/4 binary64) |
#s(literal -1/3 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/2 binary64) N) |
#s(literal 1/2 binary64) |
N |
(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))) |
(log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))) |
(-.f64 (*.f64 N N) N) |
(*.f64 N N) |
N |
(fma.f64 N N #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (*.f64 #s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) |
(*.f64 #s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
#s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))) |
(fma.f64 (log.f64 N) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))) |
(log.f64 N) |
N |
#s(literal 2 binary64) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) |
#s(literal 1/3 binary64) |
(*.f64 N (*.f64 N N)) |
(*.f64 N N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/2 binary64) N) |
#s(literal 1/2 binary64) |
(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) |
(/.f64 N (+.f64 N #s(literal 1 binary64))) |
(+.f64 N #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))) |
(neg.f64 (log.f64 (fma.f64 N N N))) |
(log.f64 (fma.f64 N N N)) |
(fma.f64 N N N) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (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))) |
(pow.f64 (log1p.f64 N) #s(literal 3 binary64)) |
(log1p.f64 N) |
N |
#s(literal 3 binary64) |
(pow.f64 (log.f64 N) #s(literal 3 binary64)) |
(log.f64 N) |
(fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) |
(log.f64 (fma.f64 N N N)) |
(fma.f64 N N N) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)) |
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N) |
#s(literal 1 binary64) |
(/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))) |
(/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))) |
N |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 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 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) |
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) |
#s(literal -1/2 binary64) |
(/.f64 (+.f64 (/.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(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/2 binary64) N) |
#s(literal 1/2 binary64) |
N |
(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))) |
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
(log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) |
(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))) |
(/.f64 N (+.f64 N #s(literal 1 binary64))) |
(-.f64 (*.f64 N N) N) |
(fma.f64 N N (neg.f64 N)) |
(*.f64 N N) |
N |
(fma.f64 N N #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (*.f64 #s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) |
(neg.f64 (/.f64 (*.f64 #s(approx (log (+ (* N N) N)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) (fma.f64 (log.f64 N) #s(literal 2 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N)))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (fma.f64 N N N)))) |
(*.f64 #s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
(*.f64 #s(approx (log (+ (* N N) N)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) (fma.f64 (log.f64 N) #s(literal 2 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N)))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
#s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))) |
#s(approx (log (+ (* N N) N)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) (fma.f64 (log.f64 N) #s(literal 2 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N)))))) |
(fma.f64 (log.f64 N) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) (fma.f64 (log.f64 N) #s(literal 2 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))))) |
(log.f64 N) |
N |
#s(literal 2 binary64) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N)))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) |
#s(literal 1/3 binary64) |
(*.f64 N (*.f64 N N)) |
(*.f64 N N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/2 binary64) N) |
#s(literal 1/2 binary64) |
(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) |
(/.f64 N (+.f64 N #s(literal 1 binary64))) |
(+.f64 N #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))) |
(/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 N N N))) |
(neg.f64 (log.f64 (fma.f64 N N N))) |
(log.f64 (fma.f64 N N N)) |
(fma.f64 N N N) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (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))) |
(pow.f64 (log1p.f64 N) #s(literal 3 binary64)) |
(log1p.f64 N) |
N |
#s(literal 3 binary64) |
(pow.f64 (log.f64 N) #s(literal 3 binary64)) |
(log.f64 N) |
(fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) |
(log.f64 (fma.f64 N N N)) |
(fma.f64 N N N) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.2% | (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
| ✓ | accuracy | 98.9% | (pow.f64 (log.f64 N) #s(literal 3 binary64)) |
| ✓ | accuracy | 98.9% | (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) |
| ✓ | accuracy | 25.1% | (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 #s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) |
| ✓ | accuracy | 96.9% | #s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))) |
| ✓ | accuracy | 27.5% | (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))) |
| ✓ | accuracy | 99.9% | (-.f64 (*.f64 N N) N) |
| ✓ | accuracy | 99.7% | (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))) |
| ✓ | accuracy | 27.5% | (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) N) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
| ✓ | accuracy | 92.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) |
| ✓ | accuracy | 99.9% | (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
| ✓ | accuracy | 99.4% | (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) |
| ✓ | accuracy | 96.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))) |
| 180.0ms | 191× | 1 | valid |
| 29.0ms | 65× | 0 | valid |
Compiled 416 to 53 computations (87.3% saved)
ival-div: 40.0ms (24.1% of total)ival-log: 29.0ms (17.4% of total)adjust: 19.0ms (11.4% of total)ival-add: 18.0ms (10.8% of total)ival-mult: 13.0ms (7.8% of total)const: 11.0ms (6.6% of total)ival-sub: 9.0ms (5.4% of total)ival-log1p: 8.0ms (4.8% of total)ival-pow2: 7.0ms (4.2% of total)ival-pow: 7.0ms (4.2% of total)ival-neg: 3.0ms (1.8% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))> |
#<alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))> |
#<alt (/.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)))> |
#<alt (+.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))> |
#<alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))> |
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)> |
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))> |
#<alt (/.f64 #s(literal 1/2 binary64) N)> |
#<alt (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))> |
#<alt (neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))> |
#<alt (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))> |
#<alt (-.f64 (*.f64 N N) N)> |
#<alt (*.f64 (*.f64 #s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))> |
#<alt (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))> |
#<alt (*.f64 #s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))> |
#<alt #s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))))> |
#<alt (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))> |
#<alt (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))> |
#<alt (pow.f64 (log1p.f64 N) #s(literal 3 binary64))> |
#<alt (log1p.f64 N)> |
#<alt (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)> |
#<alt (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))> |
#<alt (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)> |
#<alt (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))> |
#<alt (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N)))> |
#<alt (pow.f64 (log.f64 N) #s(literal 3 binary64))> |
#<alt (pow.f64 (log1p.f64 N) #s(literal 2 binary64))> |
| Outputs |
|---|
#<alt (/ -1/4 (pow N 4))> |
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))> |
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))> |
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))> |
#<alt (/ 1 N)> |
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)> |
#<alt (/ 1 N)> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))> |
#<alt (* -1 (log N))> |
#<alt (- N (log N))> |
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))> |
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))> |
#<alt (/ 1 N)> |
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)> |
#<alt (/ 1 N)> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))> |
#<alt (* -4 (pow N 4))> |
#<alt (* (pow N 4) (- (* -16/3 N) 4))> |
#<alt (* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))> |
#<alt (* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))> |
#<alt N> |
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))> |
#<alt (* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))> |
#<alt (* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))> |
#<alt N> |
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))> |
#<alt (* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))> |
#<alt (* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))> |
#<alt (/ -1/4 (pow N 3))> |
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))> |
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))> |
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))> |
#<alt 1> |
#<alt (- 1 (* 1/2 (/ 1 N)))> |
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))> |
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))> |
#<alt 1> |
#<alt (- 1 (* 1/2 (/ 1 N)))> |
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))> |
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))> |
#<alt (* -1 (log N))> |
#<alt (- N (log N))> |
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))> |
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))> |
#<alt (/ 1 N)> |
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)> |
#<alt (/ 1 N)> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))> |
#<alt (/ -1/2 (pow N 2))> |
#<alt (/ (- N 1/2) (pow N 2))> |
#<alt (/ (- N 1/2) (pow N 2))> |
#<alt (/ (- N 1/2) (pow N 2))> |
#<alt (/ 1 N)> |
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)> |
#<alt (/ 1 N)> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))> |
#<alt (/ -1/2 N)> |
#<alt (/ (- N 1/2) N)> |
#<alt (/ (- N 1/2) N)> |
#<alt (/ (- N 1/2) N)> |
#<alt 1> |
#<alt (- 1 (* 1/2 (/ 1 N)))> |
#<alt (- 1 (* 1/2 (/ 1 N)))> |
#<alt (- 1 (* 1/2 (/ 1 N)))> |
#<alt 1> |
#<alt (- 1 (* 1/2 (/ 1 N)))> |
#<alt (- 1 (* 1/2 (/ 1 N)))> |
#<alt (- 1 (* 1/2 (/ 1 N)))> |
#<alt (/ 1/2 N)> |
#<alt (/ 1/2 N)> |
#<alt (/ 1/2 N)> |
#<alt (/ 1/2 N)> |
#<alt (/ 1/2 N)> |
#<alt (/ 1/2 N)> |
#<alt (/ 1/2 N)> |
#<alt (/ 1/2 N)> |
#<alt (/ 1/2 N)> |
#<alt (/ 1/2 N)> |
#<alt (/ 1/2 N)> |
#<alt (/ 1/2 N)> |
#<alt N> |
#<alt (* N (+ 1 (* -1 N)))> |
#<alt (* N (+ 1 (* N (- N 1))))> |
#<alt (* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))> |
#<alt 1> |
#<alt (- 1 (/ 1 N))> |
#<alt (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))> |
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#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))> |
#<alt (/ 1/4 (pow N 2))> |
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))> |
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))> |
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))> |
#<alt (/ -1/3 N)> |
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)> |
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)> |
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)> |
#<alt (/ -1/3 N)> |
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))> |
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))> |
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))> |
#<alt (/ 1/4 N)> |
#<alt (/ (+ 1/4 (* -1/3 N)) N)> |
#<alt (/ (+ 1/4 (* -1/3 N)) N)> |
#<alt (/ (+ 1/4 (* -1/3 N)) N)> |
#<alt -1/3> |
#<alt (- (* 1/4 (/ 1 N)) 1/3)> |
#<alt (- (* 1/4 (/ 1 N)) 1/3)> |
#<alt (- (* 1/4 (/ 1 N)) 1/3)> |
#<alt -1/3> |
#<alt (- (* 1/4 (/ 1 N)) 1/3)> |
#<alt (- (* 1/4 (/ 1 N)) 1/3)> |
#<alt (- (* 1/4 (/ 1 N)) 1/3)> |
#<alt (/ -1/4 (pow N 3))> |
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))> |
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))> |
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))> |
#<alt (/ -1/2 N)> |
#<alt (/ (- (* 1/3 (/ 1 N)) 1/2) N)> |
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)> |
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)> |
#<alt (/ -1/2 N)> |
#<alt (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))> |
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))> |
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))> |
#<alt (log N)> |
#<alt (+ (log N) (* -1 N))> |
#<alt (+ (log N) (* N (- (* 1/2 N) 1)))> |
#<alt (+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))> |
#<alt (/ -1 N)> |
#<alt (/ (- (* 1/2 (/ 1 N)) 1) N)> |
#<alt (/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)> |
#<alt (/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)> |
#<alt (/ -1 N)> |
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))> |
#<alt (/ 1/3 (pow N 3))> |
#<alt (/ 1/3 (pow N 3))> |
#<alt (/ 1/3 (pow N 3))> |
#<alt (/ 1/3 (pow N 3))> |
#<alt (/ 1/3 (pow N 3))> |
#<alt (/ 1/3 (pow N 3))> |
#<alt (/ 1/3 (pow N 3))> |
#<alt (/ 1/3 (pow N 3))> |
#<alt (/ 1/3 (pow N 3))> |
#<alt (/ 1/3 (pow N 3))> |
#<alt (/ 1/3 (pow N 3))> |
#<alt (/ 1/3 (pow N 3))> |
#<alt (pow (log N) 3)> |
#<alt (pow (log N) 3)> |
#<alt (pow (log N) 3)> |
#<alt (pow (log N) 3)> |
#<alt (* -1 (pow (log (/ 1 N)) 3))> |
#<alt (* -1 (pow (log (/ 1 N)) 3))> |
#<alt (* -1 (pow (log (/ 1 N)) 3))> |
#<alt (* -1 (pow (log (/ 1 N)) 3))> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)> |
#<alt (pow N 2)> |
#<alt (* (pow N 2) (+ 1 (* -1 N)))> |
#<alt (* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))> |
#<alt (* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))> |
#<alt (pow (log (/ 1 N)) 2)> |
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))> |
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))> |
#<alt (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3)))> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)> |
#<alt (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))> |
#<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))> |
#<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))> |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | N | @ | -inf | (/ (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2))) |
| 4.0ms | N | @ | inf | (/ (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2))) |
| 1.0ms | N | @ | -inf | (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) |
| 1.0ms | N | @ | inf | (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) |
| 1.0ms | N | @ | 0 | (/ (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2))) |
| 1× | egg-herbie |
| 10 962× | lower-fma.f64 |
| 10 962× | lower-fma.f32 |
| 6 968× | lower-+.f64 |
| 6 968× | lower-+.f32 |
| 4 678× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 836 | 7883 |
| 1 | 2697 | 6603 |
| 0 | 8356 | 6337 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1/4 (pow N 4)) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/ 1 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)) 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 (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 (* 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)) 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)) |
(* -4 (pow N 4)) |
(* (pow N 4) (- (* -16/3 N) 4)) |
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4)) |
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4)) |
N |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2)))) |
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2)))) |
N |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1))) |
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1))) |
(/ -1/4 (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 |
(- 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 |
(- 1 (* 1/2 (/ 1 N))) |
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(* -1 (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 (* 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)) 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)) |
(/ (- N 1/2) (pow N 2)) |
(/ (- N 1/2) (pow N 2)) |
(/ (- N 1/2) (pow N 2)) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ 1 N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(/ -1/2 N) |
(/ (- N 1/2) N) |
(/ (- N 1/2) N) |
(/ (- N 1/2) N) |
1 |
(- 1 (* 1/2 (/ 1 N))) |
(- 1 (* 1/2 (/ 1 N))) |
(- 1 (* 1/2 (/ 1 N))) |
1 |
(- 1 (* 1/2 (/ 1 N))) |
(- 1 (* 1/2 (/ 1 N))) |
(- 1 (* 1/2 (/ 1 N))) |
(/ 1/2 N) |
(/ 1/2 N) |
(/ 1/2 N) |
(/ 1/2 N) |
(/ 1/2 N) |
(/ 1/2 N) |
(/ 1/2 N) |
(/ 1/2 N) |
(/ 1/2 N) |
(/ 1/2 N) |
(/ 1/2 N) |
(/ 1/2 N) |
N |
(* N (+ 1 (* -1 N))) |
(* N (+ 1 (* N (- N 1)))) |
(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1)))) |
1 |
(- 1 (/ 1 N)) |
(- (+ 1 (/ 1 (pow N 2))) (/ 1 N)) |
(- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))) |
1 |
(- 1 (/ 1 N)) |
(+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) 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 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)) 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)) |
(log N) |
(+ (log N) (* -1 N)) |
(+ (log N) (* N (- (* 1/2 N) 1))) |
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1))) |
(/ -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 N) |
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N)) |
(* -1 N) |
(* N (- N 1)) |
(* N (- N 1)) |
(* N (- N 1)) |
(pow N 2) |
(* (pow N 2) (- 1 (/ 1 N))) |
(* (pow N 2) (- 1 (/ 1 N))) |
(* (pow N 2) (- 1 (/ 1 N))) |
(pow N 2) |
(* (pow N 2) (- 1 (/ 1 N))) |
(* (pow N 2) (- 1 (/ 1 N))) |
(* (pow N 2) (- 1 (/ 1 N))) |
(* -1 (log N)) |
(+ N (* -1 (log N))) |
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(/ 1 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)) 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 (log N)) |
(- (/ N (pow (log N) 2)) (/ 1 (log N))) |
(- (* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N))) |
(- (* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (pow (log N) 2))) (* 1/2 (/ 1 (pow (log N) 3)))) (* -1 (/ (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N))) |
(/ 1/2 (log (/ 1 N))) |
(+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (* N (pow (log (/ 1 N)) 2))))) |
(- (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))) |
(- (+ (/ 1/12 (* (pow N 3) (pow (log (/ 1 N)) 2))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3))))))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 3))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/16 (* (pow N 3) (pow (log (/ 1 N)) 3))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))))) |
(/ 1/2 (log (/ -1 N))) |
(+ (* 1/2 (/ 1 (log (/ -1 N)))) (* 1/4 (/ 1 (* N (pow (log (/ -1 N)) 2))))) |
(+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 3))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/16 (/ 1 (pow (log (/ -1 N)) 3))) (+ (* 1/12 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 3))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/8 (/ 1 (pow (log (/ -1 N)) 3)))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) |
(pow (log N) 2) |
(+ (* N (+ (log N) (* -1 (log N)))) (pow (log N) 2)) |
(+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1))))) (pow (log N) 2)) |
(+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (+ (* 1/2 (log N)) (* N (+ 1 (+ (* -1/3 (log N)) (* 1/3 (log N))))))) 1))))) (pow (log N) 2)) |
(* 2 (/ (log (/ 1 N)) N)) |
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (* 2 (log (/ 1 N)))) (/ 1 N)) N) |
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2))))) (/ 1 N)) N) |
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2)))))) (+ (/ 1 N) (* 11/12 (/ 1 (pow N 3))))) N) |
(* 2 (/ (log (/ -1 N)) N)) |
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (log (/ -1 N))) 1) N))) N)) |
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -2/3 (log (/ -1 N))) 1) N))) 1) N))) N)) |
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (log (/ -1 N))) 11/12) N)) (* -2/3 (log (/ -1 N)))) 1) N))) 1) N))) N)) |
(log N) |
(+ N (log N)) |
(+ (log N) (* N (+ 1 (* -1/2 N)))) |
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(* -2 (log (/ 1 N))) |
(+ (* -2 (log (/ 1 N))) (/ 1 N)) |
(- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))) |
(- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))) |
(* -2 (log (/ -1 N))) |
(+ (* -2 (log (/ -1 N))) (/ 1 N)) |
(+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))) |
(+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))) |
(* -1 (log N)) |
(+ N (* -1 (log N))) |
(+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N)))))))) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))) (log N))) (* -1 (/ (- (* 1/3 (log N)) 1) (log N)))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N)))))))) |
(/ 1 N) |
(/ (- (+ 1 (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* -1/2 (/ (pow (log (/ 1 N)) 2) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* -1 (/ (log (/ 1 N)) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) N) |
(/ (- (+ 1 (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* 2 (/ (log (/ 1 N)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))))))) (+ (* -1 (/ (log (/ 1 N)) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 1/2 (/ (log (/ 1 N)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (/ (log (/ 1 N)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (- (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* -1/2 (/ (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* -1 (/ (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))))) N) |
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(/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) N) |
(/ (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) N)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) N) |
(/ (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) N)) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 2))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (pow (log (/ 1 N)) 2))))))))) N) |
(/ (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -4/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 11/12 (* 1/2 (log (/ 1 N))))) (pow N 3))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) N)) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (pow N 3))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) N)) (+ (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (pow (log (/ 1 N)) 2))))))))))))) (/ 1 (pow N 3))) N) |
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) |
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) |
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) |
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1 (/ (+ (* -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))))))))) N)) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))))) N)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) |
(pow N 3) |
(* (pow N 3) (+ 1 (* -3/2 N))) |
(* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2)))) |
(* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2)))) |
(* -1 (pow (log (/ 1 N)) 3)) |
(+ (* -1 (pow (log (/ 1 N)) 3)) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N))) |
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -1 (pow (log (/ 1 N)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N)))))) |
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 3))) (+ (* -1 (pow (log (/ 1 N)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ 1 (pow N 3)) (/ (pow (log (/ 1 N)) 2) N)))))))))) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) |
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) |
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) |
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) |
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 (/ 1 N))) |
(+ (* -1 (log (/ 1 N))) (/ 1 N)) |
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))) |
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))) |
(+ (log -1) (* -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)))) |
(/ 1/4 (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)) |
(/ -1/3 N) |
(/ (- (* 1/4 (/ 1 N)) 1/3) N) |
(/ (- (* 1/4 (/ 1 N)) 1/3) N) |
(/ (- (* 1/4 (/ 1 N)) 1/3) N) |
(/ -1/3 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)) |
(/ 1/4 N) |
(/ (+ 1/4 (* -1/3 N)) N) |
(/ (+ 1/4 (* -1/3 N)) N) |
(/ (+ 1/4 (* -1/3 N)) N) |
-1/3 |
(- (* 1/4 (/ 1 N)) 1/3) |
(- (* 1/4 (/ 1 N)) 1/3) |
(- (* 1/4 (/ 1 N)) 1/3) |
-1/3 |
(- (* 1/4 (/ 1 N)) 1/3) |
(- (* 1/4 (/ 1 N)) 1/3) |
(- (* 1/4 (/ 1 N)) 1/3) |
(/ -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)) |
(/ -1/2 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) |
(/ -1/2 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)) |
(log N) |
(+ (log N) (* -1 N)) |
(+ (log N) (* N (- (* 1/2 N) 1))) |
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1))) |
(/ -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 N) |
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N)) |
(/ 1/3 (pow N 3)) |
(/ 1/3 (pow N 3)) |
(/ 1/3 (pow N 3)) |
(/ 1/3 (pow N 3)) |
(/ 1/3 (pow N 3)) |
(/ 1/3 (pow N 3)) |
(/ 1/3 (pow N 3)) |
(/ 1/3 (pow N 3)) |
(/ 1/3 (pow N 3)) |
(/ 1/3 (pow N 3)) |
(/ 1/3 (pow N 3)) |
(/ 1/3 (pow N 3)) |
(pow (log N) 3) |
(pow (log N) 3) |
(pow (log N) 3) |
(pow (log N) 3) |
(* -1 (pow (log (/ 1 N)) 3)) |
(* -1 (pow (log (/ 1 N)) 3)) |
(* -1 (pow (log (/ 1 N)) 3)) |
(* -1 (pow (log (/ 1 N)) 3)) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) |
(pow N 2) |
(* (pow N 2) (+ 1 (* -1 N))) |
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1)))) |
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1)))) |
(pow (log (/ 1 N)) 2) |
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2)) |
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2)))) |
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3))) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) |
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
| Outputs |
|---|
(/ -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 N #s(literal 1/3 binary64) #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 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #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 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ 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 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (*.f64 N (*.f64 N N))))) N) |
(/ 1 N) |
(/.f64 #s(literal 1 binary64) N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) 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)) (neg.f64 N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) (neg.f64 N)) #s(literal -1 binary64)) (neg.f64 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 (fma.f64 N (*.f64 N #s(literal -1/2 binary64)) N) (log.f64 N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(-.f64 (fma.f64 (*.f64 N N) (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/2 binary64)) N) (log.f64 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 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (*.f64 N (*.f64 N N))))) N) |
(/ 1 N) |
(/.f64 #s(literal 1 binary64) N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) 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)) (neg.f64 N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) (neg.f64 N)) #s(literal -1 binary64)) (neg.f64 N)) |
(* -4 (pow N 4)) |
(*.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -4 binary64)) |
(* (pow N 4) (- (* -16/3 N) 4)) |
(*.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N #s(literal -16/3 binary64) #s(literal -4 binary64))) |
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4)) |
(*.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N (fma.f64 N #s(literal 8/9 binary64) #s(literal -16/3 binary64)) #s(literal -4 binary64))) |
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4)) |
(*.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N (fma.f64 N (fma.f64 N #s(literal -112/27 binary64) #s(literal 8/9 binary64)) #s(literal -16/3 binary64)) #s(literal -4 binary64))) |
N |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N) |
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2)))) |
(+.f64 N (*.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/12 binary64) (*.f64 N N))))) |
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2)))) |
(*.f64 N (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1/12 binary64) (*.f64 N N)))))) |
N |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N) |
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1))) |
(neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) (neg.f64 N)) (neg.f64 N))) |
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1))) |
(neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))) |
(/ -1/4 (pow N 3)) |
(/.f64 #s(literal -1/4 binary64) (*.f64 N (*.f64 N N))) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/2 (/ 1 N))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) |
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (*.f64 N (*.f64 N N))))) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/2 (/ 1 N))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) |
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) |
(* -1 (log N)) |
(neg.f64 (log.f64 N)) |
(- N (log N)) |
(-.f64 N (log.f64 N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(-.f64 (fma.f64 N (*.f64 N #s(literal -1/2 binary64)) N) (log.f64 N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(-.f64 (fma.f64 (*.f64 N N) (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/2 binary64)) N) (log.f64 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 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N) |
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(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 (-.f64 (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 (+.f64 (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (log.f64 #s(literal -1 binary64)))) N)) (neg.f64 N))) N)) |
N |
(* N (+ 1 (* -1/2 N))) |
(fma.f64 N (*.f64 N #s(literal -1/2 binary64)) N) |
(* N (+ 1 (* N (- (* 1/3 N) 1/2)))) |
(fma.f64 (*.f64 N N) (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/2 binary64)) N) |
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2)))) |
(fma.f64 (*.f64 N N) (fma.f64 N (fma.f64 #s(literal -1/4 binary64) N #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) N) |
(* -1 (log (/ 1 N))) |
(log.f64 N) |
(+ (* -1 (log (/ 1 N))) (/ 1 N)) |
(+.f64 (/.f64 #s(literal 1 binary64) N) (log.f64 N)) |
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))) |
(+.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (log.f64 N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))) |
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N)))) (+.f64 (log.f64 N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) N) (log.f64 (/.f64 #s(literal -1 binary64) N)))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #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 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
(/ 1/4 (pow N 2)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 N N)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 2)) |
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 2)) |
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 2)) |
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N)) |
(/ -1/3 N) |
(/.f64 #s(literal -1/3 binary64) N) |
(/ (- (* 1/4 (/ 1 N)) 1/3) N) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) |
(/ (- (* 1/4 (/ 1 N)) 1/3) N) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) |
(/ (- (* 1/4 (/ 1 N)) 1/3) N) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) |
(/ -1/3 N) |
(/.f64 #s(literal -1/3 binary64) N) |
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (neg.f64 N)) |
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (neg.f64 N)) |
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (neg.f64 N)) |
(/ 1/4 N) |
(/.f64 #s(literal 1/4 binary64) N) |
(/ (+ 1/4 (* -1/3 N)) N) |
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) N) |
(/ (+ 1/4 (* -1/3 N)) N) |
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) N) |
(/ (+ 1/4 (* -1/3 N)) N) |
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) N) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* 1/4 (/ 1 N)) 1/3) |
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
(- (* 1/4 (/ 1 N)) 1/3) |
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
(- (* 1/4 (/ 1 N)) 1/3) |
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* 1/4 (/ 1 N)) 1/3) |
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
(- (* 1/4 (/ 1 N)) 1/3) |
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
(- (* 1/4 (/ 1 N)) 1/3) |
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
(/ -1/4 (pow N 3)) |
(/.f64 #s(literal -1/4 binary64) (*.f64 N (*.f64 N N))) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))) |
(/ -1/2 N) |
(/.f64 #s(literal -1/2 binary64) N) |
(/ (- (* 1/3 (/ 1 N)) 1/2) N) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N) |
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N)))) N) |
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N)))) N) |
(/ -1/2 N) |
(/.f64 #s(literal -1/2 binary64) N) |
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) |
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) (neg.f64 N)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) (neg.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 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 N)) |
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1))) |
(fma.f64 N (fma.f64 N (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 N)) |
(/ -1 N) |
(/.f64 #s(literal -1 binary64) N) |
(/ (- (* 1/2 (/ 1 N)) 1) N) |
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N) |
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N) |
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N (*.f64 N N))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N) |
(/ -1 N) |
(/.f64 #s(literal -1 binary64) N) |
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (neg.f64 N)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (neg.f64 N)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) (neg.f64 N)) |
(/ 1/3 (pow N 3)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) |
(/ 1/3 (pow N 3)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) |
(/ 1/3 (pow N 3)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) |
(/ 1/3 (pow N 3)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) |
(/ 1/3 (pow N 3)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) |
(/ 1/3 (pow N 3)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) |
(/ 1/3 (pow N 3)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) |
(/ 1/3 (pow N 3)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) |
(/ 1/3 (pow N 3)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) |
(/ 1/3 (pow N 3)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) |
(/ 1/3 (pow N 3)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) |
(/ 1/3 (pow N 3)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) |
(pow (log N) 3) |
(pow.f64 (log.f64 N) #s(literal 3 binary64)) |
(pow (log N) 3) |
(pow.f64 (log.f64 N) #s(literal 3 binary64)) |
(pow (log N) 3) |
(pow.f64 (log.f64 N) #s(literal 3 binary64)) |
(pow (log N) 3) |
(pow.f64 (log.f64 N) #s(literal 3 binary64)) |
(* -1 (pow (log (/ 1 N)) 3)) |
(pow.f64 (log.f64 N) #s(literal 3 binary64)) |
(* -1 (pow (log (/ 1 N)) 3)) |
(pow.f64 (log.f64 N) #s(literal 3 binary64)) |
(* -1 (pow (log (/ 1 N)) 3)) |
(pow.f64 (log.f64 N) #s(literal 3 binary64)) |
(* -1 (pow (log (/ 1 N)) 3)) |
(pow.f64 (log.f64 N) #s(literal 3 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) |
(pow N 2) |
(*.f64 N N) |
(* (pow N 2) (+ 1 (* -1 N))) |
(*.f64 N (fma.f64 N (neg.f64 N) N)) |
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1)))) |
(*.f64 (*.f64 N N) (fma.f64 N (fma.f64 N #s(literal 11/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1)))) |
(*.f64 (*.f64 N N) (fma.f64 N (fma.f64 N (fma.f64 N #s(literal -5/6 binary64) #s(literal 11/12 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(pow (log (/ 1 N)) 2) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2)) |
(+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) N)) |
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))) (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) N))) |
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3))) |
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) N) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)))) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (*.f64 N (*.f64 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)) |
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) N) (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 (-.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) 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 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.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 #s(literal 2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64)) N)) N)) N)) |
| 1× | batch-egg-rewrite |
| 4 550× | lower-/.f32 |
| 4 526× | lower-/.f64 |
| 3 352× | lower-*.f32 |
| 3 344× | lower-*.f64 |
| 2 488× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 325 |
| 0 | 99 | 290 |
| 1 | 425 | 267 |
| 2 | 3497 | 267 |
| 0 | 9057 | 264 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))) |
(/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) |
(/.f64 #s(literal 1/2 binary64) N) |
(/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))) |
(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))) |
(log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) |
(-.f64 (*.f64 N N) N) |
(*.f64 (*.f64 #s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))) |
(*.f64 #s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
#s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (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))) |
(pow.f64 (log1p.f64 N) #s(literal 3 binary64)) |
(log1p.f64 N) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) |
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) |
(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) |
(pow.f64 (log.f64 N) #s(literal 3 binary64)) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.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)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 #s(literal 1 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 #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) (/.f64 #s(literal 1 binary64) N))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 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 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) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) N)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 #s(literal 1 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))) |
(fma.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) (/.f64 #s(literal 1 binary64) N))) |
(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) (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 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))) |
(fma.f64 (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) N))) |
(fma.f64 (/.f64 #s(literal 1 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 binary64) N)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))) |
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) |
(/.f64 (+.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) |
(/.f64 #s(literal -1 binary64) (/.f64 N (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 #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))) (neg.f64 N)) |
(/.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #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 #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)) (*.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 -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (*.f64 N (*.f64 N N)))) (*.f64 N (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) (-.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 (-.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)) (-.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 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) |
(/.f64 (*.f64 #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)) (*.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 -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (*.f64 N (*.f64 N N))))) (*.f64 N (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) (-.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 (*.f64 #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)) (-.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 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) |
(/.f64 (neg.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)) (*.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 -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (*.f64 N (*.f64 N N))))) (neg.f64 (*.f64 N (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) (-.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 #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)) (-.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 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))) |
(/.f64 (neg.f64 (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)))) (neg.f64 (neg.f64 N))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) N)) (neg.f64 (/.f64 #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 #s(literal 1 binary64) N) (+.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)) (*.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 -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (*.f64 N (*.f64 N N))))) (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) (-.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 (*.f64 (/.f64 #s(literal 1 binary64) N) (-.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)) (-.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) (/.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 #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) |
(/.f64 (neg.f64 (*.f64 #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)))) (neg.f64 N)) |
(/.f64 (neg.f64 (*.f64 #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)) (*.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 -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (*.f64 N (*.f64 N N)))))) (neg.f64 (*.f64 N (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) (-.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 #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)) (-.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 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (+.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)) (*.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 -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (*.f64 N (*.f64 N N)))))) (neg.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) (-.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 #s(literal 1 binary64) N) (-.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)) (-.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 #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 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))) #s(literal -1 binary64)) |
(pow.f64 (/.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)) N) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (/.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)) N) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))) (/.f64 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)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.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))))) #s(literal -1 binary64)) |
(*.f64 #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)) 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)) (/.f64 #s(literal 1 binary64) N)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))) |
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))) |
(*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (/.f64 #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 #s(literal 1 binary64) N) (pow.f64 (/.f64 (/.f64 #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))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.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)) N) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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 #s(literal 1 binary64) N)) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 N)) (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)))) |
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 (+.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 N (*.f64 N N)))) (/.f64 #s(literal 1 binary64) N))) (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.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 N N))) (/.f64 #s(literal 1 binary64) N))) (neg.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) |
(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 -1 binary64)) |
(pow.f64 (/.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 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 #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)) |
(*.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)) (/.f64 #s(literal 1 binary64) (neg.f64 N))) |
(*.f64 (/.f64 #s(literal 1 binary64) 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 binary64) N) (pow.f64 (/.f64 #s(literal -1 binary64) (+.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 #s(literal 1 binary64) (-.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)) |
(*.f64 (pow.f64 (/.f64 N (-.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 (+.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 N (*.f64 N N))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 N (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.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 N N)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) |
(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) |
(+.f64 (log.f64 N) (neg.f64 (log1p.f64 N))) |
(+.f64 (log.f64 (-.f64 (*.f64 N N) N)) (neg.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))))) |
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) |
(+.f64 (log.f64 (neg.f64 N)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 N))))) |
(+.f64 (log.f64 (neg.f64 (-.f64 (*.f64 N N) N))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N N))))) |
(+.f64 (neg.f64 (log1p.f64 N)) (log.f64 N)) |
(+.f64 (neg.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (-.f64 (*.f64 N N) 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 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (*.f64 N N) N))) |
(+.f64 (log.f64 (/.f64 N (fma.f64 N (*.f64 N N) #s(literal 1 binary64)))) (log.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) |
(+.f64 (log.f64 (/.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (log1p.f64 (neg.f64 N))) |
(+.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)) #s(literal -1 binary64)))) (log.f64 (-.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal 1 binary64)) (*.f64 (*.f64 N N) #s(literal -1 binary64))))) |
(+.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64)))) (log.f64 (fma.f64 N N #s(literal 1 binary64)))) |
(-.f64 (log.f64 N) (log1p.f64 N)) |
(-.f64 (log.f64 (-.f64 (*.f64 N N) N)) (log.f64 (fma.f64 N N #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (*.f64 (fma.f64 N N N) (-.f64 (*.f64 N N) N))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N N)))) |
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 N (*.f64 N N)))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N (*.f64 N (*.f64 N N)) (*.f64 N (fma.f64 N N N)))))) |
(-.f64 (log.f64 (neg.f64 N)) (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 N)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 N N) N))) (log1p.f64 (*.f64 (neg.f64 N) N))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) |
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))))) |
(-.f64 (log.f64 (*.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 N (*.f64 N N))) #s(literal 1 binary64))) (log.f64 (*.f64 (fma.f64 N (*.f64 N (*.f64 N N)) (*.f64 N (fma.f64 N N N))) (fma.f64 N N #s(literal -1 binary64))))) |
(-.f64 (log.f64 (*.f64 (*.f64 (fma.f64 N N N) (-.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (log.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N #s(literal -1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (neg.f64 N))) (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 N))))) |
(-.f64 (log.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 N N) N)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (*.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (*.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (*.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))))))) (log.f64 (fma.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (fma.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (*.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))))) (*.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (log.f64 (fma.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) |
(-.f64 (log.f64 (*.f64 (-.f64 (*.f64 N N) N) #s(literal 1 binary64))) (log.f64 (fma.f64 N N #s(literal -1 binary64)))) |
(-.f64 (log.f64 (*.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))))) (log.f64 (fma.f64 N (*.f64 N (*.f64 N N)) (*.f64 N (fma.f64 N N N))))) |
(-.f64 (log.f64 (*.f64 (*.f64 (fma.f64 N N N) (-.f64 (*.f64 N N) N)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))))) (log.f64 (fma.f64 N N N))) |
(-.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (+.f64 #s(literal 1 binary64) N))) (log.f64 (+.f64 N #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 N) (log.f64 N)) |
(fma.f64 #s(literal -1 binary64) (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 (*.f64 N N) N))) |
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) |
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log1p.f64 N))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (*.f64 N N) N)) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 (*.f64 N N) N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 (*.f64 N N) N)) (log.f64 (fma.f64 N N #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (*.f64 N N) N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log1p.f64 N)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (*.f64 N N) N)) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (*.f64 N N) N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 (*.f64 N N) N)) (log.f64 (fma.f64 N N #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (log.f64 (fma.f64 N N N)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (*.f64 N N) N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))) |
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 N (*.f64 N N)) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 N (*.f64 N N)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (*.f64 N N)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 N (*.f64 N N)) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (/.f64 #s(literal 1/3 binary64) N))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 N (*.f64 N N)) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (*.f64 N (*.f64 N N)))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (neg.f64 (*.f64 N (*.f64 N N)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 N (*.f64 N N)) #s(literal 3 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 N (*.f64 N N)) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 N N) (/.f64 #s(literal 1/3 binary64) N)))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 (*.f64 N (*.f64 N N))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) N)) (neg.f64 (*.f64 N N))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) N) |
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) N) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) N))) (neg.f64 (neg.f64 (*.f64 N N)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (neg.f64 N)) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N)) (neg.f64 N)) |
(pow.f64 (*.f64 (*.f64 N (*.f64 N N)) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 N (*.f64 N N)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 N N) (/.f64 #s(literal 1/3 binary64) N)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N)))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 N (*.f64 N N))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) |
(*.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 (/.f64 (*.f64 N N) #s(literal 1/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 N N))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1/3 binary64) N)) |
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 N)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (log.f64 N)) #s(literal 3/2 binary64) (*.f64 (log.f64 (log.f64 N)) #s(literal 3/2 binary64)))) |
(pow.f64 (log.f64 N) #s(literal 3 binary64)) |
(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 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log.f64 N))) |
(*.f64 (log.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 N)) |
(*.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))) #s(literal 1 binary64))) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log1p.f64 N))) |
(*.f64 (log1p.f64 N) (log1p.f64 N)) |
Compiled 42 429 to 4 269 computations (89.9% saved)
40 alts after pruning (34 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 386 | 12 | 1 398 |
| Fresh | 15 | 22 | 37 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 403 | 40 | 1 443 |
| Status | Accuracy | Program |
|---|---|---|
| 26.2% | (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) | |
| 26.3% | (/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) | |
| ✓ | 25.5% | (/.f64 (fma.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 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N))) |
| 25.1% | (/.f64 (fma.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N))) | |
| 24.0% | (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (fma.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (fma.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N))) | |
| 24.7% | (/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) | |
| 24.1% | (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))))) | |
| ✓ | 24.0% | (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) |
| 24.4% | (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) | |
| ▶ | 24.1% | (/.f64 (-.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N)) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N))) |
| 24.9% | (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) | |
| 27.5% | (*.f64 (*.f64 (-.f64 (log.f64 (fma.f64 (*.f64 N N) (*.f64 N (*.f64 N (*.f64 N N))) (*.f64 N (*.f64 N N)))) (log.f64 (fma.f64 N (-.f64 N (*.f64 N N)) (*.f64 N (*.f64 N (*.f64 N N)))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) | |
| 27.5% | (*.f64 (*.f64 (-.f64 (log.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N)) (log.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) | |
| 27.5% | (*.f64 (*.f64 (-.f64 (log.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) | |
| 27.5% | (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (log.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N (neg.f64 N)))) (log.f64 (fma.f64 N N (neg.f64 N))))))) | |
| 27.5% | (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (log.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (+.f64 N #s(literal -1 binary64))))))) | |
| ▶ | 27.5% | (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))) |
| 27.5% | (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 N N N))))))) | |
| 21.7% | (*.f64 (*.f64 #s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log1p.f64 N)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) | |
| 25.3% | (neg.f64 (fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))) | |
| 24.0% | (neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))) | |
| 27.6% | (neg.f64 (-.f64 (log.f64 (-.f64 (*.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (*.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (*.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (*.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))))))) (log.f64 (fma.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (fma.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (*.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))))))))) | |
| 27.5% | (neg.f64 (-.f64 (log.f64 (-.f64 (*.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))))) (*.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (log.f64 (fma.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))))))) | |
| ✓ | 27.2% | (neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))) |
| ✓ | 27.5% | (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
| 27.0% | (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) | |
| 27.0% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64))) | |
| ▶ | 96.4% | #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)) |
| ✓ | 92.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
| 95.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)) | |
| 95.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N)) | |
| 96.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))))) N)) | |
| 96.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N)))) N)) | |
| 96.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N)))))))) | |
| 93.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))) | |
| 96.8% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.f64 N (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))))))))) | |
| ▶ | 97.0% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) |
| 95.8% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) (neg.f64 N)) (neg.f64 N)))))) | |
| ✓ | 84.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| ▶ | 92.2% | #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
Compiled 2 414 to 1 011 computations (58.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N)) |
| ✓ | cost-diff | 14080 | (-.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N)) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 29056 | (/.f64 (-.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N)) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N))) |
| ✓ | cost-diff | 0 | (log.f64 (fma.f64 N N N)) |
| ✓ | cost-diff | 0 | (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) |
| ✓ | cost-diff | 192 | (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 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 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 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 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)) |
| ✓ | cost-diff | 320 | (-.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))) |
| ✓ | cost-diff | 0 | (+.f64 N #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
| ✓ | cost-diff | 0 | #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))) |
| ✓ | cost-diff | 0 | #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
| ✓ | cost-diff | 0 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) |
| ✓ | cost-diff | 128 | (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))) |
| ✓ | cost-diff | 1024 | (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)) |
| 9 176× | lower-fma.f32 |
| 9 170× | lower-fma.f64 |
| 2 778× | lower-*.f32 |
| 2 762× | lower-*.f64 |
| 2 280× | lower--.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 578 |
| 0 | 115 | 528 |
| 1 | 208 | 507 |
| 2 | 460 | 503 |
| 3 | 1489 | 483 |
| 4 | 4735 | 483 |
| 0 | 8110 | 483 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))))) |
#s(literal 1 binary64) |
#s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))) |
(neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))) |
(fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)) |
N |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) |
#s(literal 1/2 binary64) |
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) |
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) |
#s(literal 1/12 binary64) |
(/.f64 #s(literal -1/24 binary64) N) |
#s(literal -1/24 binary64) |
(neg.f64 N) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))) |
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
(+.f64 N #s(literal -1/2 binary64)) |
N |
#s(literal -1/2 binary64) |
(*.f64 N N) |
#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)) |
(/.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) |
(-.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))) |
(/.f64 #s(literal -1/2 binary64) N) |
#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)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N 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) |
(*.f64 N N) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))) |
(*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
(log.f64 (fma.f64 N N N)) |
(fma.f64 N N N) |
N |
(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) |
(/.f64 N (+.f64 N #s(literal 1 binary64))) |
(+.f64 N #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) |
(neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))) |
(+.f64 (log1p.f64 N) (log.f64 N)) |
(log1p.f64 N) |
(log.f64 N) |
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N)) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N))) |
(-.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N)) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N)) |
(*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) |
(log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) |
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))) |
(fma.f64 N N #s(literal -1 binary64)) |
N |
#s(literal -1 binary64) |
(+.f64 N #s(literal -1 binary64)) |
(log1p.f64 N) |
(log.f64 N) |
(*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N)) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (-.f64 (+.f64 N #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (-.f64 (+.f64 N #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) |
#s(literal 1 binary64) |
#s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))) |
#s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (-.f64 (+.f64 N #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) |
(neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))) |
(-.f64 (+.f64 N #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) |
(fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)) |
(+.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) (-.f64 #s(literal -1/2 binary64) N)) |
N |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) |
#s(literal 1/2 binary64) |
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) |
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) |
#s(literal 1/12 binary64) |
(/.f64 #s(literal -1/24 binary64) N) |
#s(literal -1/24 binary64) |
(neg.f64 N) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))) |
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
(+.f64 N #s(literal -1/2 binary64)) |
N |
#s(literal -1/2 binary64) |
(*.f64 N N) |
#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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)) |
(/.f64 (-.f64 (/.f64 #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) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N) |
(-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) |
(/.f64 #s(literal -1/2 binary64) N) |
#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)) |
(+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 N N)) #s(literal -1 binary64)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) |
(/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 N N)) |
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
(+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) |
(/.f64 #s(literal 1/4 binary64) N) |
#s(literal 1/4 binary64) |
#s(literal -1/3 binary64) |
(*.f64 N N) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))) |
(/.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))) |
(*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
(log.f64 (fma.f64 N N N)) |
(fma.f64 N N N) |
N |
(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) |
(/.f64 N (+.f64 N #s(literal 1 binary64))) |
(+.f64 N #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) |
(/.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 N) (log.f64 N))) |
(neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))) |
(-.f64 (neg.f64 (log.f64 N)) (log1p.f64 N)) |
(+.f64 (log1p.f64 N) (log.f64 N)) |
(log1p.f64 N) |
(log.f64 N) |
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N)) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(-.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N)) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) |
(*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N))) |
(*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N)) |
(*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (*.f64 (log1p.f64 N) (log.f64 N))) |
(*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) |
(*.f64 (log1p.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))))) |
(log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) |
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))) |
(fma.f64 N N #s(literal -1 binary64)) |
N |
#s(literal -1 binary64) |
(+.f64 N #s(literal -1 binary64)) |
(log1p.f64 N) |
(log.f64 N) |
(*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N)) |
(*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.4% | (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) |
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N)) |
| ✓ | accuracy | 99.2% | (pow.f64 (log.f64 N) #s(literal 2 binary64)) |
| ✓ | accuracy | 24.2% | (-.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N)) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))) |
| ✓ | accuracy | 99.4% | (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
| ✓ | accuracy | 27.5% | (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) |
| ✓ | accuracy | 99.9% | (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
| ✓ | accuracy | 99.9% | (-.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))) |
| ✓ | accuracy | 99.4% | (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) |
| ✓ | accuracy | 96.6% | #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)) |
| ✓ | accuracy | 100.0% | (*.f64 N N) |
| ✓ | accuracy | 100.0% | #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))) |
| ✓ | accuracy | 99.6% | (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
| ✓ | accuracy | 92.5% | #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
| ✓ | accuracy | 99.4% | (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal -1/24 binary64) N) |
| ✓ | accuracy | 96.6% | #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))) |
| ✓ | accuracy | 96.6% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) |
| 281.0ms | 194× | 1 | valid |
| 32.0ms | 62× | 0 | valid |
Compiled 504 to 64 computations (87.3% saved)
ival-div: 97.0ms (36.1% of total)ival-mult: 64.0ms (23.8% of total)ival-log: 24.0ms (8.9% of total)adjust: 22.0ms (8.2% of total)ival-add: 16.0ms (6% of total)const: 13.0ms (4.8% of total)ival-sub: 12.0ms (4.5% of total)ival-log1p: 8.0ms (3% of total)ival-pow2: 6.0ms (2.2% of total)ival-neg: 4.0ms (1.5% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))> |
#<alt (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))> |
#<alt (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N))> |
#<alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))))))> |
#<alt #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))> |
#<alt #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))> |
#<alt (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))> |
#<alt (+.f64 N #s(literal -1/2 binary64))> |
#<alt (-.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)))> |
#<alt #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))> |
#<alt (/.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)> |
#<alt (/.f64 #s(literal -1/2 binary64) N)> |
#<alt (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))> |
#<alt (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))> |
#<alt (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))> |
#<alt (log.f64 (fma.f64 N N N))> |
#<alt (/.f64 (-.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N)) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N)))> |
#<alt (-.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N)) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))> |
#<alt (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N))> |
#<alt (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N))> |
#<alt #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))))> |
#<alt (/.f64 #s(literal -1/24 binary64) N)> |
#<alt (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)> |
#<alt (*.f64 N N)> |
#<alt (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))> |
#<alt (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))> |
#<alt (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))> |
#<alt (pow.f64 (log.f64 N) #s(literal 2 binary64))> |
| Outputs |
|---|
#<alt (/ -1/24 (pow N 2))> |
#<alt (/ (- (* 1/12 N) 1/24) (pow N 2))> |
#<alt (/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 2))> |
#<alt (/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 2))> |
#<alt (* -1 N)> |
#<alt (* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))> |
#<alt (* N (- (/ 1/12 (pow N 2)) (+ 1 (* 1/2 (/ 1 N)))))> |
#<alt (* N (- (/ 1/12 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3)))))))> |
#<alt (* -1 N)> |
#<alt (* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))> |
#<alt (* -1 (* N (+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N)))))> |
#<alt (* -1 (* N (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N)))))> |
#<alt (/ 1/24 (pow N 2))> |
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 2))> |
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))> |
#<alt (/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))> |
#<alt N> |
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))> |
#<alt (* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))> |
#<alt (* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))> |
#<alt N> |
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))> |
#<alt (* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))> |
#<alt (* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))> |
#<alt (/ -1/24 (pow N 3))> |
#<alt (/ (- (* 1/12 N) 1/24) (pow N 3))> |
#<alt (/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))> |
#<alt (/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))> |
#<alt (/ -1/2 N)> |
#<alt (/ (- (* 1/12 (/ 1 N)) 1/2) N)> |
#<alt (/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N)> |
#<alt (/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N)> |
#<alt (/ -1/2 N)> |
#<alt (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N))> |
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N))> |
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N))> |
#<alt (* -1 (log N))> |
#<alt (- N (log N))> |
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))> |
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))> |
#<alt (/ 1 N)> |
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)> |
#<alt (/ 1 N)> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))> |
#<alt (* -1 (log N))> |
#<alt (- N (log N))> |
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))> |
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))> |
#<alt (/ 1 N)> |
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)> |
#<alt (/ 1 N)> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))> |
#<alt (/ -1/2 (pow N 2))> |
#<alt (/ (- N 1/2) (pow N 2))> |
#<alt (/ (- N 1/2) (pow N 2))> |
#<alt (/ (- N 1/2) (pow N 2))> |
#<alt (/ 1 N)> |
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)> |
#<alt (/ 1 N)> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))> |
#<alt (/ -1/2 (pow N 2))> |
#<alt (/ (- N 1/2) (pow N 2))> |
#<alt (/ (- N 1/2) (pow N 2))> |
#<alt (/ (- N 1/2) (pow N 2))> |
#<alt (/ 1 N)> |
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)> |
#<alt (/ 1 N)> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))> |
#<alt -1/2> |
#<alt (- N 1/2)> |
#<alt (- N 1/2)> |
#<alt (- N 1/2)> |
#<alt N> |
#<alt (* N (- 1 (* 1/2 (/ 1 N))))> |
#<alt (* N (- 1 (* 1/2 (/ 1 N))))> |
#<alt (* N (- 1 (* 1/2 (/ 1 N))))> |
#<alt N> |
#<alt (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))> |
#<alt (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))> |
#<alt (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))> |
#<alt (/ -1/4 (pow N 3))> |
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))> |
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))> |
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))> |
#<alt 1> |
#<alt (- 1 (* 1/2 (/ 1 N)))> |
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))> |
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))> |
#<alt 1> |
#<alt (- 1 (* 1/2 (/ 1 N)))> |
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))> |
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))> |
#<alt (* -1 (log N))> |
#<alt (- N (log N))> |
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))> |
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))> |
#<alt (/ 1 N)> |
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)> |
#<alt (/ 1 N)> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))> |
#<alt (/ -1/4 (pow N 4))> |
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))> |
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))> |
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))> |
#<alt (/ 1 N)> |
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)> |
#<alt (/ 1 N)> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))> |
#<alt (/ -1/2 N)> |
#<alt (/ -1/2 N)> |
#<alt (/ -1/2 N)> |
#<alt (/ -1/2 N)> |
#<alt (/ -1/2 N)> |
#<alt (/ -1/2 N)> |
#<alt (/ -1/2 N)> |
#<alt (/ -1/2 N)> |
#<alt (/ -1/2 N)> |
#<alt (/ -1/2 N)> |
#<alt (/ -1/2 N)> |
#<alt (/ -1/2 N)> |
#<alt (* -1 (log N))> |
#<alt (+ N (* -1 (log N)))> |
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))> |
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))> |
#<alt (/ 1 N)> |
#<alt (/ (+ 1 (* -1 (/ (- (* -1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) N))) N)> |
#<alt (/ (+ 1 (+ (* -1 (/ (- (* -1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) N)) (* -1 (/ (- (+ (* -1/2 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N))))) (* -1/2 (/ (- (* -1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (log (/ 1 N))))) (pow N 2))))) N)> |
#<alt (/ (+ 1 (+ (* -1 (/ (- (* -1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) N)) (+ (* -1 (/ (- (* -1/2 (/ (- (* -1/2 (log (/ 1 N))) 11/12) (log (/ 1 N)))) (+ (* -1/2 (/ (- (+ (* -1/2 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N))))) (* -1/2 (/ (- (* -1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (log (/ 1 N))))) (log (/ 1 N)))) (+ (* 1/6 (/ 1 (log (/ 1 N)))) (* 1/4 (/ (- (* -1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (log (/ 1 N))))))) (pow N 3))) (* -1 (/ (- (+ (* -1/2 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N))))) (* -1/2 (/ (- (* -1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (log (/ 1 N))))) (pow N 2)))))) N)> |
#<alt (* -2 (/ (log (/ -1 N)) (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (log (/ -1 N)) (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (* 2 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (* 2 (/ (log (/ -1 N)) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (/ 1 (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) N))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* -1 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* 2 (/ (log (/ -1 N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) (* -2/3 (/ (log (/ -1 N)) (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) (+ (* -1 (/ (- (* -1 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* 2 (/ (log (/ -1 N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (/ 1 (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ (log (/ -1 N)) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) N)) (* 2 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* 2 (/ (log (/ -1 N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) (* -1 (/ (- (+ (* -1 (- (* -2/3 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -1 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* 2 (/ (log (/ -1 N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (/ (log (/ -1 N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) (* -1/2 (/ (log (/ -1 N)) (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) (+ (* -1 (/ (- (* -2/3 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -1 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* 2 (/ (log (/ -1 N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (/ (log (/ -1 N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (* -1/2 (/ (- (* -1 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* 2 (/ (log (/ -1 N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (* 2/3 (/ (log (/ -1 N)) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (/ 11/12 (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))))) N))) N)) (* 2 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N))> |
#<alt (/ -1 (log N))> |
#<alt (- (/ N (pow (log N) 2)) (/ 1 (log N)))> |
#<alt (- (* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))> |
#<alt (- (* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (pow (log N) 2))) (* 1/2 (/ 1 (pow (log N) 3)))) (* -1 (/ (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))> |
#<alt (/ 1/2 (log (/ 1 N)))> |
#<alt (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (* N (pow (log (/ 1 N)) 2)))))> |
#<alt (- (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))))> |
#<alt (- (+ (/ 1/12 (* (pow N 3) (pow (log (/ 1 N)) 2))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3))))))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 3))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/16 (* (pow N 3) (pow (log (/ 1 N)) 3))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))))))> |
#<alt (/ -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))> |
#<alt (- (/ 1 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))> |
#<alt (- (* -1 (/ (- (+ (/ 1/2 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) N)) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))> |
#<alt (- (* -1 (/ (- (* -1 (/ (- (+ (/ 1/3 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (+ (/ 1 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (/ 1 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4))))) (+ (* 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)))))> |
#<alt (pow (log N) 2)> |
#<alt (+ (* N (+ (log N) (* -1 (log N)))) (pow (log N) 2))> |
#<alt (+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1))))) (pow (log N) 2))> |
#<alt (+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (+ (* 1/2 (log N)) (* N (+ 1 (+ (* -1/3 (log N)) (* 1/3 (log N))))))) 1))))) (pow (log N) 2))> |
#<alt (* 2 (/ (log (/ 1 N)) N))> |
#<alt (/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (* 2 (log (/ 1 N)))) (/ 1 N)) N)> |
#<alt (/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2))))) (/ 1 N)) N)> |
#<alt (/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2)))))) (+ (/ 1 N) (* 11/12 (/ 1 (pow N 3))))) N)> |
#<alt (* 2 (/ (log (/ -1 N)) N))> |
#<alt (* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (log (/ -1 N))) 1) N))) N))> |
#<alt (* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -2/3 (log (/ -1 N))) 1) N))) 1) N))) N))> |
#<alt (* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (log (/ -1 N))) 11/12) N)) (* -2/3 (log (/ -1 N)))) 1) N))) 1) N))) N))> |
#<alt (log N)> |
#<alt (+ N (log N))> |
#<alt (+ (log N) (* N (+ 1 (* -1/2 N))))> |
#<alt (+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))> |
#<alt (* -2 (log (/ 1 N)))> |
#<alt (+ (* -2 (log (/ 1 N))) (/ 1 N))> |
#<alt (- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))> |
#<alt (- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))> |
#<alt (* -2 (log (/ -1 N)))> |
#<alt (+ (* -2 (log (/ -1 N))) (/ 1 N))> |
#<alt (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))> |
#<alt (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))> |
#<alt (* -1 (log N))> |
#<alt (+ (* -1 (log N)) (* N (- (* -1 (/ (- (* -1 (log N)) (* -3/2 (pow (log N) 2))) (log N))) (* -3/2 (log N)))))> |
#<alt (+ (* -1 (log N)) (* N (- (+ (* -1 (/ (- (* -1 (log N)) (* -3/2 (pow (log N) 2))) (log N))) (* N (- (* -1 (/ (- (* -1 (log N)) (* -1/3 (pow (log N) 2))) (log N))) (+ (* -1/3 (log N)) (* 3/2 (- (* -1 (/ (- (* -1 (log N)) (* -3/2 (pow (log N) 2))) (log N))) (* -3/2 (log N)))))))) (* -3/2 (log N)))))> |
#<alt (+ (* -1 (log N)) (* N (- (+ (* -1 (/ (- (* -1 (log N)) (* -3/2 (pow (log N) 2))) (log N))) (* N (- (+ (* -1 (/ (- (* -1 (log N)) (* -1/3 (pow (log N) 2))) (log N))) (* N (- (* -1 (/ (- (* 1/12 (log N)) (* -3/4 (pow (log N) 2))) (log N))) (+ (* -3/4 (log N)) (+ (* 1/3 (- (* -1 (/ (- (* -1 (log N)) (* -3/2 (pow (log N) 2))) (log N))) (* -3/2 (log N)))) (* 3/2 (- (* -1 (/ (- (* -1 (log N)) (* -1/3 (pow (log N) 2))) (log N))) (+ (* -1/3 (log N)) (* 3/2 (- (* -1 (/ (- (* -1 (log N)) (* -3/2 (pow (log N) 2))) (log N))) (* -3/2 (log N)))))))))))) (+ (* -1/3 (log N)) (* 3/2 (- (* -1 (/ (- (* -1 (log N)) (* -3/2 (pow (log N) 2))) (log N))) (* -3/2 (log N)))))))) (* -3/2 (log N)))))> |
#<alt (/ 1 N)> |
#<alt (/ (- (+ 1 (* 1/3 (/ (- (+ (log (/ 1 N)) (* -3 (pow (log (/ 1 N)) 2))) (* -3/2 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2))))) (/ 1/3 (* N (log (/ 1 N))))) N)> |
#<alt (/ (- (+ 1 (+ (* 1/3 (/ (+ (* -1/2 (log (/ 1 N))) (+ (* 3/2 (log (/ 1 N))) (pow (log (/ 1 N)) 2))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (* 1/3 (/ (- (+ (log (/ 1 N)) (* -3 (pow (log (/ 1 N)) 2))) (* -3/2 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2)))))) (+ (* 1/3 (/ (- (* 1/3 (/ (- (+ (log (/ 1 N)) (* -3 (pow (log (/ 1 N)) 2))) (* -3/2 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* 1/3 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/3 (* N (log (/ 1 N)))) (* 1/2 (/ 1 (* (pow N 2) (log (/ 1 N)))))))) N)> |
#<alt (/ (- (+ 1 (+ (* 1/3 (/ (+ (* -1/2 (log (/ 1 N))) (+ (* 3/2 (log (/ 1 N))) (pow (log (/ 1 N)) 2))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/3 (/ (- (+ (log (/ 1 N)) (* -3 (pow (log (/ 1 N)) 2))) (* -3/2 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2)))) (* 1/3 (/ (- (+ (* -3/2 (pow (log (/ 1 N)) 2)) (+ (* -3/4 (log (/ 1 N))) (* 2/3 (log (/ 1 N))))) (* -3/4 (pow (log (/ 1 N)) 2))) (* (pow N 3) (pow (log (/ 1 N)) 2))))))) (+ (* 1/3 (/ (- (* 1/3 (/ (+ (* -1/2 (log (/ 1 N))) (+ (* 3/2 (log (/ 1 N))) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (+ (* 1/3 (/ (- (* 1/3 (/ (- (+ (log (/ 1 N)) (* -3 (pow (log (/ 1 N)) 2))) (* -3/2 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* 1/3 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/3 (/ (- (* 1/3 (/ (- (+ (log (/ 1 N)) (* -3 (pow (log (/ 1 N)) 2))) (* -3/2 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* 1/3 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/2 (/ (- (* 1/3 (/ (- (+ (log (/ 1 N)) (* -3 (pow (log (/ 1 N)) 2))) (* -3/2 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* 1/3 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/9 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/3 (* N (log (/ 1 N)))) (* 1/2 (/ 1 (* (pow N 2) (log (/ 1 N))))))))))) N)> |
#<alt (/ 1 N)> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 (+ (log -1) (* -3 (log (/ -1 N)))))) (+ 1/4 (* 1/12 (/ 1 (+ (log -1) (* -3 (log (/ -1 N)))))))) N)) 1/3) N)) 1/2) N)) 1) N))> |
#<alt (* N (pow (log N) 2))> |
#<alt (* N (- (* N (- (* -1 (log N)) (* -3/2 (pow (log N) 2)))) (* -1 (pow (log N) 2))))> |
#<alt (* N (- (* N (- (+ (* -1 (log N)) (* N (- (* -1 (log N)) (* -1/3 (pow (log N) 2))))) (* -3/2 (pow (log N) 2)))) (* -1 (pow (log N) 2))))> |
#<alt (* N (- (* N (- (+ (* -1 (log N)) (* N (- (+ (* -1 (log N)) (* N (- (* 1/12 (log N)) (* -3/4 (pow (log N) 2))))) (* -1/3 (pow (log N) 2))))) (* -3/2 (pow (log N) 2)))) (* -1 (pow (log N) 2))))> |
#<alt (* 3 (/ (pow (log (/ 1 N)) 2) N))> |
#<alt (/ (- (+ (* -3 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 3 (pow (log (/ 1 N)) 2)) (/ (log (/ 1 N)) N))) (* -3/2 (/ (pow (log (/ 1 N)) 2) N))) N)> |
#<alt (/ (- (+ (* -3 (/ (pow (log (/ 1 N)) 2) N)) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 3/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 3 (pow (log (/ 1 N)) 2)) (+ (/ (log (/ 1 N)) N) (/ (pow (log (/ 1 N)) 2) (pow N 2))))))) (* -3/2 (/ (pow (log (/ 1 N)) 2) N))) N)> |
#<alt (/ (- (+ (* -3 (/ (pow (log (/ 1 N)) 2) N)) (+ (* -3/2 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* -3/4 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 3/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 3 (pow (log (/ 1 N)) 2)) (+ (/ (log (/ 1 N)) N) (/ (pow (log (/ 1 N)) 2) (pow N 2)))))))))) (+ (* -3/2 (/ (pow (log (/ 1 N)) 2) N)) (* -3/4 (/ (pow (log (/ 1 N)) 2) (pow N 3))))) N)> |
#<alt (/ (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))) N)> |
#<alt (* -1 (/ (+ (* -1 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))))) N))) N))> |
#<alt (* -1 (/ (+ (* -1 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1/3 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* 3/2 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1/2 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N))) N))> |
#<alt (* -1 (/ (+ (* -1 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1/4 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* 3/4 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (+ (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1/3 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* 3/2 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1/2 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N))) N))> |
#<alt (* -1 (* (pow N 2) (log N)))> |
#<alt (* (pow N 2) (+ (* -1 (log N)) (* -1 (* N (log N)))))> |
#<alt (* (pow N 2) (+ (* -1 (log N)) (* N (+ (* -1 (log N)) (* 1/12 (* N (log N)))))))> |
#<alt (* (pow N 2) (+ (* -1 (log N)) (* N (+ (* -1 (log N)) (* N (+ (* -5/6 (* N (log N))) (* 1/12 (log N))))))))> |
#<alt (* -3 (pow (log (/ 1 N)) 3))> |
#<alt (+ (* -3 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (* 3 (/ (pow (log (/ 1 N)) 2) N))))> |
#<alt (+ (* -3 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* -3 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 3 (/ (pow (log (/ 1 N)) 2) N)) (/ (log (/ 1 N)) (pow N 2))))))> |
#<alt (+ (* -3 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* -3 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 3/2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 3 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ (log (/ 1 N)) (pow N 2)) (/ (pow (log (/ 1 N)) 2) (pow N 3))))))))))> |
#<alt (* (+ (log -1) (* -3 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))> |
#<alt (+ (* -1 (/ (+ (* -1 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) N)) (* (+ (log -1) (* -3 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))> |
#<alt (+ (* -1 (/ (+ (* -1 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -3/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (* (+ (log -1) (* -3 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))> |
#<alt (+ (* -1 (/ (+ (* -1 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -3/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1/3 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* 1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 3/2 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1/2 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (* (+ (log -1) (* -3 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))> |
#<alt (* -1 (pow N 2))> |
#<alt (* (pow N 2) (- (* -1 N) 1))> |
#<alt (* (pow N 2) (- (* N (- (* 1/12 N) 1)) 1))> |
#<alt (* (pow N 2) (- (* N (- (* N (+ 1/12 (* -5/6 N))) 1)) 1))> |
#<alt (* 3 (pow (log (/ 1 N)) 2))> |
#<alt (+ (* -3 (/ (log (/ 1 N)) N)) (+ (* 3 (pow (log (/ 1 N)) 2)) (/ (log (/ 1 N)) N)))> |
#<alt (- (+ (* -3 (/ (log (/ 1 N)) N)) (+ (* 3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 3 (pow (log (/ 1 N)) 2)) (/ (log (/ 1 N)) N)))) (/ 1 (pow N 2)))> |
#<alt (- (+ (* -3 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 3 (pow (log (/ 1 N)) 2)) (/ (log (/ 1 N)) N)))))) (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))))> |
#<alt (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))> |
#<alt (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (+ (log -1) (* -3 (log (/ -1 N))))))) N)) (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))))> |
#<alt (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ (log -1) (* -3 (log (/ -1 N))))) (* -1 (/ (- (+ (* -3/2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -3 (log (/ -1 N)))))) 1) N))))) N)) (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))))> |
#<alt (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ (log -1) (* -3 (log (/ -1 N))))) (* -1 (/ (- (+ (* -3/2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ 1 (+ (* -1/3 (+ (log -1) (* -3 (log (/ -1 N))))) (* 1/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1/2 (+ (log -1) (* -3 (log (/ -1 N))))))) 1) N))))) N)) (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))))> |
#<alt (* -4 (pow N 4))> |
#<alt (* (pow N 4) (- (* -16/3 N) 4))> |
#<alt (* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))> |
#<alt (* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))> |
#<alt N> |
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))> |
#<alt (* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))> |
#<alt (* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))> |
#<alt N> |
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))> |
#<alt (* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))> |
#<alt (* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))> |
#<alt (/ -1/24 N)> |
#<alt (/ -1/24 N)> |
#<alt (/ -1/24 N)> |
#<alt (/ -1/24 N)> |
#<alt (/ -1/24 N)> |
#<alt (/ -1/24 N)> |
#<alt (/ -1/24 N)> |
#<alt (/ -1/24 N)> |
#<alt (/ -1/24 N)> |
#<alt (/ -1/24 N)> |
#<alt (/ -1/24 N)> |
#<alt (/ -1/24 N)> |
#<alt (/ -1/24 (pow N 2))> |
#<alt (/ (- (* 1/12 N) 1/24) (pow N 2))> |
#<alt (/ (- (* 1/12 N) 1/24) (pow N 2))> |
#<alt (/ (- (* 1/12 N) 1/24) (pow N 2))> |
#<alt (/ 1/12 N)> |
#<alt (/ (- 1/12 (* 1/24 (/ 1 N))) N)> |
#<alt (/ (- 1/12 (* 1/24 (/ 1 N))) N)> |
#<alt (/ (- 1/12 (* 1/24 (/ 1 N))) N)> |
#<alt (/ 1/12 N)> |
#<alt (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))> |
#<alt (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))> |
#<alt (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))> |
#<alt (pow N 2)> |
#<alt (pow N 2)> |
#<alt (pow N 2)> |
#<alt (pow N 2)> |
#<alt (pow N 2)> |
#<alt (pow N 2)> |
#<alt (pow N 2)> |
#<alt (pow N 2)> |
#<alt (pow N 2)> |
#<alt (pow N 2)> |
#<alt (pow N 2)> |
#<alt (pow N 2)> |
#<alt (/ 1/4 (pow N 3))> |
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 3))> |
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 3))> |
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 3))> |
#<alt (/ -1/3 (pow N 2))> |
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))> |
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))> |
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))> |
#<alt (/ -1/3 (pow N 2))> |
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))> |
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))> |
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))> |
#<alt (/ 1/4 N)> |
#<alt (/ (+ 1/4 (* -1/3 N)) N)> |
#<alt (/ (+ 1/4 (* -1/3 N)) N)> |
#<alt (/ (+ 1/4 (* -1/3 N)) N)> |
#<alt -1/3> |
#<alt (- (* 1/4 (/ 1 N)) 1/3)> |
#<alt (- (* 1/4 (/ 1 N)) 1/3)> |
#<alt (- (* 1/4 (/ 1 N)) 1/3)> |
#<alt -1/3> |
#<alt (- (* 1/4 (/ 1 N)) 1/3)> |
#<alt (- (* 1/4 (/ 1 N)) 1/3)> |
#<alt (- (* 1/4 (/ 1 N)) 1/3)> |
#<alt (log N)> |
#<alt (+ (log N) (* -1 N))> |
#<alt (+ (log N) (* N (- (* 1/2 N) 1)))> |
#<alt (+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))> |
#<alt (/ -1 N)> |
#<alt (/ (- (* 1/2 (/ 1 N)) 1) N)> |
#<alt (/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)> |
#<alt (/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)> |
#<alt (/ -1 N)> |
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))> |
#<alt (pow (log N) 2)> |
#<alt (pow (log N) 2)> |
#<alt (pow (log N) 2)> |
#<alt (pow (log N) 2)> |
#<alt (pow (log (/ 1 N)) 2)> |
#<alt (pow (log (/ 1 N)) 2)> |
#<alt (pow (log (/ 1 N)) 2)> |
#<alt (pow (log (/ 1 N)) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)> |
84 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | N | @ | -inf | (* (* (log (+ (* N N) N)) (log (/ N (+ N 1)))) (/ 1 (neg (+ (log (+ 1 N)) (log N))))) |
| 2.0ms | N | @ | inf | (/ (- (* (* (log (* (+ (* N N) -1) (+ N -1))) (log (+ 1 N))) (log N)) (* (log (* (+ (* N N) -1) (+ N -1))) (pow (log N) 2))) (* (log (* (+ (* N N) -1) (+ N -1))) (log N))) |
| 1.0ms | N | @ | inf | (* (* (log (+ (* N N) N)) (log (/ N (+ N 1)))) (/ 1 (neg (+ (log (+ 1 N)) (log N))))) |
| 1.0ms | N | @ | -inf | (/ (- (* (* (log (* (+ (* N N) -1) (+ N -1))) (log (+ 1 N))) (log N)) (* (log (* (+ (* N N) -1) (+ N -1))) (pow (log N) 2))) (* (log (* (+ (* N N) -1) (+ N -1))) (log N))) |
| 1.0ms | N | @ | 0 | (/ (- (* (* (log (* (+ (* N N) -1) (+ N -1))) (log (+ 1 N))) (log N)) (* (log (* (+ (* N N) -1) (+ N -1))) (pow (log N) 2))) (* (log (* (+ (* N N) -1) (+ N -1))) (log N))) |
| 1× | egg-herbie |
| 9 852× | lower-fma.f64 |
| 9 852× | lower-fma.f32 |
| 6 088× | lower-+.f64 |
| 6 088× | lower-+.f32 |
| 4 450× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 883 | 6152 |
| 1 | 2781 | 5641 |
| 0 | 8266 | 5364 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1/24 (pow N 2)) |
(/ (- (* 1/12 N) 1/24) (pow N 2)) |
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 2)) |
(/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 2)) |
(* -1 N) |
(* -1 (* N (+ 1 (* 1/2 (/ 1 N))))) |
(* N (- (/ 1/12 (pow N 2)) (+ 1 (* 1/2 (/ 1 N))))) |
(* N (- (/ 1/12 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))))) |
(* -1 N) |
(* -1 (* N (+ 1 (* 1/2 (/ 1 N))))) |
(* -1 (* N (+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))))) |
(* -1 (* N (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N))))) |
(/ 1/24 (pow N 2)) |
(/ (+ 1/24 (* -1/12 N)) (pow N 2)) |
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2)) |
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2)) |
N |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2)))) |
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2)))) |
N |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1))) |
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1))) |
(/ -1/24 (pow N 3)) |
(/ (- (* 1/12 N) 1/24) (pow N 3)) |
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3)) |
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3)) |
(/ -1/2 N) |
(/ (- (* 1/12 (/ 1 N)) 1/2) N) |
(/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N) |
(/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N) |
(/ -1/2 N) |
(* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) 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 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)) 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 (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 (* 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)) 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)) |
(/ (- N 1/2) (pow N 2)) |
(/ (- N 1/2) (pow N 2)) |
(/ (- N 1/2) (pow N 2)) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ 1 N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(/ -1/2 (pow N 2)) |
(/ (- N 1/2) (pow N 2)) |
(/ (- N 1/2) (pow N 2)) |
(/ (- N 1/2) (pow N 2)) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ 1 N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
-1/2 |
(- N 1/2) |
(- N 1/2) |
(- N 1/2) |
N |
(* N (- 1 (* 1/2 (/ 1 N)))) |
(* N (- 1 (* 1/2 (/ 1 N)))) |
(* N (- 1 (* 1/2 (/ 1 N)))) |
N |
(* -1 (* N (- (* 1/2 (/ 1 N)) 1))) |
(* -1 (* N (- (* 1/2 (/ 1 N)) 1))) |
(* -1 (* N (- (* 1/2 (/ 1 N)) 1))) |
(/ -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 |
(- 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 |
(- 1 (* 1/2 (/ 1 N))) |
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(* -1 (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 (* 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)) 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)) |
(/ -1/4 (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 (* 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)) 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 N) |
(/ -1/2 N) |
(/ -1/2 N) |
(/ -1/2 N) |
(/ -1/2 N) |
(/ -1/2 N) |
(/ -1/2 N) |
(/ -1/2 N) |
(/ -1/2 N) |
(/ -1/2 N) |
(/ -1/2 N) |
(/ -1/2 N) |
(* -1 (log N)) |
(+ N (* -1 (log N))) |
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(/ 1 N) |
(/ (+ 1 (* -1 (/ (- (* -1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) N))) N) |
(/ (+ 1 (+ (* -1 (/ (- (* -1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) N)) (* -1 (/ (- (+ (* -1/2 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N))))) (* -1/2 (/ (- (* -1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (log (/ 1 N))))) (pow N 2))))) N) |
(/ (+ 1 (+ (* -1 (/ (- (* -1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) N)) (+ (* -1 (/ (- (* -1/2 (/ (- (* -1/2 (log (/ 1 N))) 11/12) (log (/ 1 N)))) (+ (* -1/2 (/ (- (+ (* -1/2 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N))))) (* -1/2 (/ (- (* -1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (log (/ 1 N))))) (log (/ 1 N)))) (+ (* 1/6 (/ 1 (log (/ 1 N)))) (* 1/4 (/ (- (* -1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (log (/ 1 N))))))) (pow N 3))) (* -1 (/ (- (+ (* -1/2 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N))))) (* -1/2 (/ (- (* -1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (log (/ 1 N))))) (pow N 2)))))) N) |
(* -2 (/ (log (/ -1 N)) (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) |
(* -1 (/ (- (+ (* -1 (/ (log (/ -1 N)) (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (* 2 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (* 2 (/ (log (/ -1 N)) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (/ 1 (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) N)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* -1 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* 2 (/ (log (/ -1 N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) (* -2/3 (/ (log (/ -1 N)) (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) (+ (* -1 (/ (- (* -1 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* 2 (/ (log (/ -1 N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (/ 1 (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ (log (/ -1 N)) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) N)) (* 2 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* 2 (/ (log (/ -1 N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) (* -1 (/ (- (+ (* -1 (- (* -2/3 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -1 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* 2 (/ (log (/ -1 N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (/ (log (/ -1 N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) (* -1/2 (/ (log (/ -1 N)) (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) (+ (* -1 (/ (- (* -2/3 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -1 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* 2 (/ (log (/ -1 N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (/ (log (/ -1 N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (* -1/2 (/ (- (* -1 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* 2 (/ (log (/ -1 N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (* 2/3 (/ (log (/ -1 N)) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (/ 11/12 (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))))) N))) N)) (* 2 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N)) |
(/ -1 (log N)) |
(- (/ N (pow (log N) 2)) (/ 1 (log N))) |
(- (* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N))) |
(- (* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (pow (log N) 2))) (* 1/2 (/ 1 (pow (log N) 3)))) (* -1 (/ (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N))) |
(/ 1/2 (log (/ 1 N))) |
(+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (* N (pow (log (/ 1 N)) 2))))) |
(- (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))) |
(- (+ (/ 1/12 (* (pow N 3) (pow (log (/ 1 N)) 2))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3))))))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 3))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/16 (* (pow N 3) (pow (log (/ 1 N)) 3))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))))) |
(/ -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) |
(- (/ 1 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) |
(- (* -1 (/ (- (+ (/ 1/2 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) N)) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) |
(- (* -1 (/ (- (* -1 (/ (- (+ (/ 1/3 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (+ (/ 1 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (/ 1 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4))))) (+ (* 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 N) 2) |
(+ (* N (+ (log N) (* -1 (log N)))) (pow (log N) 2)) |
(+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1))))) (pow (log N) 2)) |
(+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (+ (* 1/2 (log N)) (* N (+ 1 (+ (* -1/3 (log N)) (* 1/3 (log N))))))) 1))))) (pow (log N) 2)) |
(* 2 (/ (log (/ 1 N)) N)) |
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (* 2 (log (/ 1 N)))) (/ 1 N)) N) |
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2))))) (/ 1 N)) N) |
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2)))))) (+ (/ 1 N) (* 11/12 (/ 1 (pow N 3))))) N) |
(* 2 (/ (log (/ -1 N)) N)) |
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (log (/ -1 N))) 1) N))) N)) |
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -2/3 (log (/ -1 N))) 1) N))) 1) N))) N)) |
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (log (/ -1 N))) 11/12) N)) (* -2/3 (log (/ -1 N)))) 1) N))) 1) N))) N)) |
(log N) |
(+ N (log N)) |
(+ (log N) (* N (+ 1 (* -1/2 N)))) |
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(* -2 (log (/ 1 N))) |
(+ (* -2 (log (/ 1 N))) (/ 1 N)) |
(- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))) |
(- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))) |
(* -2 (log (/ -1 N))) |
(+ (* -2 (log (/ -1 N))) (/ 1 N)) |
(+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))) |
(+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))) |
(* -1 (log N)) |
(+ (* -1 (log N)) (* N (- (* -1 (/ (- (* -1 (log N)) (* -3/2 (pow (log N) 2))) (log N))) (* -3/2 (log N))))) |
(+ (* -1 (log N)) (* N (- (+ (* -1 (/ (- (* -1 (log N)) (* -3/2 (pow (log N) 2))) (log N))) (* N (- (* -1 (/ (- (* -1 (log N)) (* -1/3 (pow (log N) 2))) (log N))) (+ (* -1/3 (log N)) (* 3/2 (- (* -1 (/ (- (* -1 (log N)) (* -3/2 (pow (log N) 2))) (log N))) (* -3/2 (log N)))))))) (* -3/2 (log N))))) |
(+ (* -1 (log N)) (* N (- (+ (* -1 (/ (- (* -1 (log N)) (* -3/2 (pow (log N) 2))) (log N))) (* N (- (+ (* -1 (/ (- (* -1 (log N)) (* -1/3 (pow (log N) 2))) (log N))) (* N (- (* -1 (/ (- (* 1/12 (log N)) (* -3/4 (pow (log N) 2))) (log N))) (+ (* -3/4 (log N)) (+ (* 1/3 (- (* -1 (/ (- (* -1 (log N)) (* -3/2 (pow (log N) 2))) (log N))) (* -3/2 (log N)))) (* 3/2 (- (* -1 (/ (- (* -1 (log N)) (* -1/3 (pow (log N) 2))) (log N))) (+ (* -1/3 (log N)) (* 3/2 (- (* -1 (/ (- (* -1 (log N)) (* -3/2 (pow (log N) 2))) (log N))) (* -3/2 (log N)))))))))))) (+ (* -1/3 (log N)) (* 3/2 (- (* -1 (/ (- (* -1 (log N)) (* -3/2 (pow (log N) 2))) (log N))) (* -3/2 (log N)))))))) (* -3/2 (log N))))) |
(/ 1 N) |
(/ (- (+ 1 (* 1/3 (/ (- (+ (log (/ 1 N)) (* -3 (pow (log (/ 1 N)) 2))) (* -3/2 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2))))) (/ 1/3 (* N (log (/ 1 N))))) N) |
(/ (- (+ 1 (+ (* 1/3 (/ (+ (* -1/2 (log (/ 1 N))) (+ (* 3/2 (log (/ 1 N))) (pow (log (/ 1 N)) 2))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (* 1/3 (/ (- (+ (log (/ 1 N)) (* -3 (pow (log (/ 1 N)) 2))) (* -3/2 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2)))))) (+ (* 1/3 (/ (- (* 1/3 (/ (- (+ (log (/ 1 N)) (* -3 (pow (log (/ 1 N)) 2))) (* -3/2 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* 1/3 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/3 (* N (log (/ 1 N)))) (* 1/2 (/ 1 (* (pow N 2) (log (/ 1 N)))))))) N) |
(/ (- (+ 1 (+ (* 1/3 (/ (+ (* -1/2 (log (/ 1 N))) (+ (* 3/2 (log (/ 1 N))) (pow (log (/ 1 N)) 2))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/3 (/ (- (+ (log (/ 1 N)) (* -3 (pow (log (/ 1 N)) 2))) (* -3/2 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2)))) (* 1/3 (/ (- (+ (* -3/2 (pow (log (/ 1 N)) 2)) (+ (* -3/4 (log (/ 1 N))) (* 2/3 (log (/ 1 N))))) (* -3/4 (pow (log (/ 1 N)) 2))) (* (pow N 3) (pow (log (/ 1 N)) 2))))))) (+ (* 1/3 (/ (- (* 1/3 (/ (+ (* -1/2 (log (/ 1 N))) (+ (* 3/2 (log (/ 1 N))) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (+ (* 1/3 (/ (- (* 1/3 (/ (- (+ (log (/ 1 N)) (* -3 (pow (log (/ 1 N)) 2))) (* -3/2 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* 1/3 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/3 (/ (- (* 1/3 (/ (- (+ (log (/ 1 N)) (* -3 (pow (log (/ 1 N)) 2))) (* -3/2 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* 1/3 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/2 (/ (- (* 1/3 (/ (- (+ (log (/ 1 N)) (* -3 (pow (log (/ 1 N)) 2))) (* -3/2 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* 1/3 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/9 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/3 (* N (log (/ 1 N)))) (* 1/2 (/ 1 (* (pow N 2) (log (/ 1 N))))))))))) N) |
(/ 1 N) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 (+ (log -1) (* -3 (log (/ -1 N)))))) (+ 1/4 (* 1/12 (/ 1 (+ (log -1) (* -3 (log (/ -1 N)))))))) N)) 1/3) N)) 1/2) N)) 1) N)) |
(* N (pow (log N) 2)) |
(* N (- (* N (- (* -1 (log N)) (* -3/2 (pow (log N) 2)))) (* -1 (pow (log N) 2)))) |
(* N (- (* N (- (+ (* -1 (log N)) (* N (- (* -1 (log N)) (* -1/3 (pow (log N) 2))))) (* -3/2 (pow (log N) 2)))) (* -1 (pow (log N) 2)))) |
(* N (- (* N (- (+ (* -1 (log N)) (* N (- (+ (* -1 (log N)) (* N (- (* 1/12 (log N)) (* -3/4 (pow (log N) 2))))) (* -1/3 (pow (log N) 2))))) (* -3/2 (pow (log N) 2)))) (* -1 (pow (log N) 2)))) |
(* 3 (/ (pow (log (/ 1 N)) 2) N)) |
(/ (- (+ (* -3 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 3 (pow (log (/ 1 N)) 2)) (/ (log (/ 1 N)) N))) (* -3/2 (/ (pow (log (/ 1 N)) 2) N))) N) |
(/ (- (+ (* -3 (/ (pow (log (/ 1 N)) 2) N)) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 3/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 3 (pow (log (/ 1 N)) 2)) (+ (/ (log (/ 1 N)) N) (/ (pow (log (/ 1 N)) 2) (pow N 2))))))) (* -3/2 (/ (pow (log (/ 1 N)) 2) N))) N) |
(/ (- (+ (* -3 (/ (pow (log (/ 1 N)) 2) N)) (+ (* -3/2 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* -3/4 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 3/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 3 (pow (log (/ 1 N)) 2)) (+ (/ (log (/ 1 N)) N) (/ (pow (log (/ 1 N)) 2) (pow N 2)))))))))) (+ (* -3/2 (/ (pow (log (/ 1 N)) 2) N)) (* -3/4 (/ (pow (log (/ 1 N)) 2) (pow N 3))))) N) |
(/ (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))) N) |
(* -1 (/ (+ (* -1 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))))) N))) N)) |
(* -1 (/ (+ (* -1 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1/3 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* 3/2 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1/2 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N))) N)) |
(* -1 (/ (+ (* -1 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1/4 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* 3/4 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (+ (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1/3 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* 3/2 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1/2 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N))) N)) |
(* -1 (* (pow N 2) (log N))) |
(* (pow N 2) (+ (* -1 (log N)) (* -1 (* N (log N))))) |
(* (pow N 2) (+ (* -1 (log N)) (* N (+ (* -1 (log N)) (* 1/12 (* N (log N))))))) |
(* (pow N 2) (+ (* -1 (log N)) (* N (+ (* -1 (log N)) (* N (+ (* -5/6 (* N (log N))) (* 1/12 (log N)))))))) |
(* -3 (pow (log (/ 1 N)) 3)) |
(+ (* -3 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (* 3 (/ (pow (log (/ 1 N)) 2) N)))) |
(+ (* -3 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* -3 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 3 (/ (pow (log (/ 1 N)) 2) N)) (/ (log (/ 1 N)) (pow N 2)))))) |
(+ (* -3 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* -3 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 3/2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 3 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ (log (/ 1 N)) (pow N 2)) (/ (pow (log (/ 1 N)) 2) (pow N 3)))))))))) |
(* (+ (log -1) (* -3 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(+ (* -1 (/ (+ (* -1 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) N)) (* (+ (log -1) (* -3 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) |
(+ (* -1 (/ (+ (* -1 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -3/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (* (+ (log -1) (* -3 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) |
(+ (* -1 (/ (+ (* -1 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -3/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1/3 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* 1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 3/2 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1/2 (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (* (+ (log -1) (* -3 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) |
(* -1 (pow N 2)) |
(* (pow N 2) (- (* -1 N) 1)) |
(* (pow N 2) (- (* N (- (* 1/12 N) 1)) 1)) |
(* (pow N 2) (- (* N (- (* N (+ 1/12 (* -5/6 N))) 1)) 1)) |
(* 3 (pow (log (/ 1 N)) 2)) |
(+ (* -3 (/ (log (/ 1 N)) N)) (+ (* 3 (pow (log (/ 1 N)) 2)) (/ (log (/ 1 N)) N))) |
(- (+ (* -3 (/ (log (/ 1 N)) N)) (+ (* 3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 3 (pow (log (/ 1 N)) 2)) (/ (log (/ 1 N)) N)))) (/ 1 (pow N 2))) |
(- (+ (* -3 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 3 (pow (log (/ 1 N)) 2)) (/ (log (/ 1 N)) N)))))) (+ (/ 1 (pow N 2)) (/ 1 (pow N 3)))) |
(* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))) |
(+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (+ (log -1) (* -3 (log (/ -1 N))))))) N)) (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) |
(+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ (log -1) (* -3 (log (/ -1 N))))) (* -1 (/ (- (+ (* -3/2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -3 (log (/ -1 N)))))) 1) N))))) N)) (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) |
(+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ (log -1) (* -3 (log (/ -1 N))))) (* -1 (/ (- (+ (* -3/2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ 1 (+ (* -1/3 (+ (log -1) (* -3 (log (/ -1 N))))) (* 1/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1/2 (+ (log -1) (* -3 (log (/ -1 N))))))) 1) N))))) N)) (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) |
(* -4 (pow N 4)) |
(* (pow N 4) (- (* -16/3 N) 4)) |
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4)) |
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4)) |
N |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2)))) |
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2)))) |
N |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1))) |
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1))) |
(/ -1/24 N) |
(/ -1/24 N) |
(/ -1/24 N) |
(/ -1/24 N) |
(/ -1/24 N) |
(/ -1/24 N) |
(/ -1/24 N) |
(/ -1/24 N) |
(/ -1/24 N) |
(/ -1/24 N) |
(/ -1/24 N) |
(/ -1/24 N) |
(/ -1/24 (pow N 2)) |
(/ (- (* 1/12 N) 1/24) (pow N 2)) |
(/ (- (* 1/12 N) 1/24) (pow N 2)) |
(/ (- (* 1/12 N) 1/24) (pow N 2)) |
(/ 1/12 N) |
(/ (- 1/12 (* 1/24 (/ 1 N))) N) |
(/ (- 1/12 (* 1/24 (/ 1 N))) N) |
(/ (- 1/12 (* 1/24 (/ 1 N))) N) |
(/ 1/12 N) |
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) |
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) |
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) |
(pow N 2) |
(pow N 2) |
(pow N 2) |
(pow N 2) |
(pow N 2) |
(pow N 2) |
(pow N 2) |
(pow N 2) |
(pow N 2) |
(pow N 2) |
(pow N 2) |
(pow N 2) |
(/ 1/4 (pow N 3)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 3)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 3)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 3)) |
(/ -1/3 (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 (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)) |
(/ 1/4 N) |
(/ (+ 1/4 (* -1/3 N)) N) |
(/ (+ 1/4 (* -1/3 N)) N) |
(/ (+ 1/4 (* -1/3 N)) N) |
-1/3 |
(- (* 1/4 (/ 1 N)) 1/3) |
(- (* 1/4 (/ 1 N)) 1/3) |
(- (* 1/4 (/ 1 N)) 1/3) |
-1/3 |
(- (* 1/4 (/ 1 N)) 1/3) |
(- (* 1/4 (/ 1 N)) 1/3) |
(- (* 1/4 (/ 1 N)) 1/3) |
(log N) |
(+ (log N) (* -1 N)) |
(+ (log N) (* N (- (* 1/2 N) 1))) |
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1))) |
(/ -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 N) |
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N)) |
(pow (log N) 2) |
(pow (log N) 2) |
(pow (log N) 2) |
(pow (log N) 2) |
(pow (log (/ 1 N)) 2) |
(pow (log (/ 1 N)) 2) |
(pow (log (/ 1 N)) 2) |
(pow (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 |
|---|
(/ -1/24 (pow N 2)) |
(/.f64 #s(literal -1/24 binary64) (*.f64 N N)) |
(/ (- (* 1/12 N) 1/24) (pow N 2)) |
(/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N)) |
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 2)) |
(/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) (*.f64 N N)) |
(/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 2)) |
(/.f64 (fma.f64 N (fma.f64 N (+.f64 (neg.f64 N) #s(literal -1/2 binary64)) #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) (*.f64 N N)) |
(* -1 N) |
(neg.f64 N) |
(* -1 (* N (+ 1 (* 1/2 (/ 1 N))))) |
(*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N))) |
(* N (- (/ 1/12 (pow N 2)) (+ 1 (* 1/2 (/ 1 N))))) |
(*.f64 N (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N N)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)))) |
(* N (- (/ 1/12 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))))) |
(*.f64 N (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))) #s(literal 1 binary64))))) |
(* -1 N) |
(neg.f64 N) |
(* -1 (* N (+ 1 (* 1/2 (/ 1 N))))) |
(*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N))) |
(* -1 (* N (+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))))) |
(neg.f64 (fma.f64 N (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) N) #s(literal 1/2 binary64)) N) N)) |
(* -1 (* N (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N))))) |
(neg.f64 (fma.f64 N (neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) N) #s(literal -1/2 binary64)) N)) N)) |
(/ 1/24 (pow N 2)) |
(/.f64 #s(literal 1/24 binary64) (*.f64 N N)) |
(/ (+ 1/24 (* -1/12 N)) (pow N 2)) |
(/.f64 (fma.f64 N #s(literal -1/12 binary64) #s(literal 1/24 binary64)) (*.f64 N N)) |
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2)) |
(/.f64 (fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)) |
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2)) |
(/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)) |
N |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N) |
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2)))) |
(*.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/12 binary64) (*.f64 N N))))) |
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2)))) |
(*.f64 N (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/12 binary64) (*.f64 N N))))) |
N |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N) |
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1))) |
(neg.f64 (fma.f64 N (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (neg.f64 N)) (neg.f64 N))) |
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1))) |
(neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))) |
(/ -1/24 (pow N 3)) |
(/.f64 #s(literal -1/24 binary64) (*.f64 N (*.f64 N N))) |
(/ (- (* 1/12 N) 1/24) (pow N 3)) |
(/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N (*.f64 N N))) |
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3)) |
(/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) (*.f64 N (*.f64 N N))) |
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3)) |
(/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) (*.f64 N (*.f64 N N))) |
(/ -1/2 N) |
(/.f64 #s(literal -1/2 binary64) N) |
(/ (- (* 1/12 (/ 1 N)) 1/2) N) |
(/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) |
(/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N) |
(/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 N N)))) N) |
(/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N) |
(/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 N N)))) N) |
(/ -1/2 N) |
(/.f64 #s(literal -1/2 binary64) N) |
(* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (neg.f64 N)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) |
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(*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) |
(+ (* -3 (/ (log (/ 1 N)) N)) (+ (* 3 (pow (log (/ 1 N)) 2)) (/ (log (/ 1 N)) N))) |
(+.f64 (neg.f64 (/.f64 (log.f64 N) N)) (fma.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (log.f64 N)) N))) |
(- (+ (* -3 (/ (log (/ 1 N)) N)) (+ (* 3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 3 (pow (log (/ 1 N)) 2)) (/ (log (/ 1 N)) N)))) (/ 1 (pow N 2))) |
(+.f64 (/.f64 (*.f64 #s(literal 3 binary64) (log.f64 N)) N) (+.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (neg.f64 (/.f64 (log.f64 N) N))) (/.f64 #s(literal -1 binary64) (*.f64 N N)))) |
(- (+ (* -3 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 3 (pow (log (/ 1 N)) 2)) (/ (log (/ 1 N)) N)))))) (+ (/ 1 (pow N 2)) (/ 1 (pow N 3)))) |
(fma.f64 (neg.f64 (/.f64 (log.f64 N) N)) #s(literal -3 binary64) (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N (*.f64 N N))) #s(literal -2/3 binary64) (-.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (neg.f64 (/.f64 (log.f64 N) N))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) (*.f64 N N)))))) |
(* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))) |
(*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -3 binary64) (log.f64 #s(literal -1 binary64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) |
(+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (+ (log -1) (* -3 (log (/ -1 N))))))) N)) (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) |
(fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -3 binary64) (log.f64 #s(literal -1 binary64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -3 binary64) (log.f64 #s(literal -1 binary64)))) (neg.f64 N))) |
(+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ (log -1) (* -3 (log (/ -1 N))))) (* -1 (/ (- (+ (* -3/2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -3 (log (/ -1 N)))))) 1) N))))) N)) (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) |
(-.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -3 binary64) (log.f64 #s(literal -1 binary64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (-.f64 (fma.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (neg.f64 (log.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (fma.f64 #s(literal -3/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -3 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64))) N))) N)) |
(+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ (log -1) (* -3 (log (/ -1 N))))) (* -1 (/ (- (+ (* -3/2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ 1 (+ (* -1/3 (+ (log -1) (* -3 (log (/ -1 N))))) (* 1/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1/2 (+ (log -1) (* -3 (log (/ -1 N))))))) 1) N))))) N)) (* (+ (log -1) (* -3 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) |
(-.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -3 binary64) (log.f64 #s(literal -1 binary64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (+.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -3 binary64) (log.f64 #s(literal -1 binary64)))) (neg.f64 (/.f64 (+.f64 (-.f64 (*.f64 #s(literal -3/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 #s(literal -1/3 binary64) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -3 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 1 binary64))) N)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -3 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64))) N))) N)) |
(* -4 (pow N 4)) |
(*.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -4 binary64)) |
(* (pow N 4) (- (* -16/3 N) 4)) |
(*.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N #s(literal -16/3 binary64) #s(literal -4 binary64))) |
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4)) |
(*.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N (fma.f64 N #s(literal 8/9 binary64) #s(literal -16/3 binary64)) #s(literal -4 binary64))) |
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4)) |
(*.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N (fma.f64 N (fma.f64 N #s(literal -112/27 binary64) #s(literal 8/9 binary64)) #s(literal -16/3 binary64)) #s(literal -4 binary64))) |
N |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N) |
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2)))) |
(*.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/12 binary64) (*.f64 N N))))) |
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2)))) |
(*.f64 N (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/12 binary64) (*.f64 N N))))) |
N |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N) |
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1))) |
(neg.f64 (fma.f64 N (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (neg.f64 N)) (neg.f64 N))) |
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1))) |
(neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))) |
(/ -1/24 N) |
(/.f64 #s(literal -1/24 binary64) N) |
(/ -1/24 N) |
(/.f64 #s(literal -1/24 binary64) N) |
(/ -1/24 N) |
(/.f64 #s(literal -1/24 binary64) N) |
(/ -1/24 N) |
(/.f64 #s(literal -1/24 binary64) N) |
(/ -1/24 N) |
(/.f64 #s(literal -1/24 binary64) N) |
(/ -1/24 N) |
(/.f64 #s(literal -1/24 binary64) N) |
(/ -1/24 N) |
(/.f64 #s(literal -1/24 binary64) N) |
(/ -1/24 N) |
(/.f64 #s(literal -1/24 binary64) N) |
(/ -1/24 N) |
(/.f64 #s(literal -1/24 binary64) N) |
(/ -1/24 N) |
(/.f64 #s(literal -1/24 binary64) N) |
(/ -1/24 N) |
(/.f64 #s(literal -1/24 binary64) N) |
(/ -1/24 N) |
(/.f64 #s(literal -1/24 binary64) N) |
(/ -1/24 (pow N 2)) |
(/.f64 #s(literal -1/24 binary64) (*.f64 N N)) |
(/ (- (* 1/12 N) 1/24) (pow N 2)) |
(/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N)) |
(/ (- (* 1/12 N) 1/24) (pow N 2)) |
(/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N)) |
(/ (- (* 1/12 N) 1/24) (pow N 2)) |
(/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N)) |
(/ 1/12 N) |
(/.f64 #s(literal 1/12 binary64) N) |
(/ (- 1/12 (* 1/24 (/ 1 N))) N) |
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) |
(/ (- 1/12 (* 1/24 (/ 1 N))) N) |
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) |
(/ (- 1/12 (* 1/24 (/ 1 N))) N) |
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) |
(/ 1/12 N) |
(/.f64 #s(literal 1/12 binary64) N) |
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) N) |
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) N) |
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) N) |
(pow N 2) |
(*.f64 N N) |
(pow N 2) |
(*.f64 N N) |
(pow N 2) |
(*.f64 N N) |
(pow N 2) |
(*.f64 N N) |
(pow N 2) |
(*.f64 N N) |
(pow N 2) |
(*.f64 N N) |
(pow N 2) |
(*.f64 N N) |
(pow N 2) |
(*.f64 N N) |
(pow N 2) |
(*.f64 N N) |
(pow N 2) |
(*.f64 N N) |
(pow N 2) |
(*.f64 N N) |
(pow N 2) |
(*.f64 N N) |
(/ 1/4 (pow N 3)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 N (*.f64 N N))) |
(/ (+ 1/4 (* -1/3 N)) (pow N 3)) |
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N (*.f64 N N))) |
(/ (+ 1/4 (* -1/3 N)) (pow N 3)) |
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N (*.f64 N N))) |
(/ (+ 1/4 (* -1/3 N)) (pow N 3)) |
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N (*.f64 N N))) |
(/ -1/3 (pow N 2)) |
(/.f64 #s(literal -1/3 binary64) (*.f64 N N)) |
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) |
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) |
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) |
(/ -1/3 (pow N 2)) |
(/.f64 #s(literal -1/3 binary64) (*.f64 N N)) |
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) |
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) |
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) |
(/ 1/4 N) |
(/.f64 #s(literal 1/4 binary64) N) |
(/ (+ 1/4 (* -1/3 N)) N) |
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) N) |
(/ (+ 1/4 (* -1/3 N)) N) |
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) N) |
(/ (+ 1/4 (* -1/3 N)) N) |
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) N) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* 1/4 (/ 1 N)) 1/3) |
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
(- (* 1/4 (/ 1 N)) 1/3) |
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
(- (* 1/4 (/ 1 N)) 1/3) |
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* 1/4 (/ 1 N)) 1/3) |
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
(- (* 1/4 (/ 1 N)) 1/3) |
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
(- (* 1/4 (/ 1 N)) 1/3) |
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
(log N) |
(log.f64 N) |
(+ (log N) (* -1 N)) |
(-.f64 (log.f64 N) N) |
(+ (log N) (* N (- (* 1/2 N) 1))) |
(fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 N)) |
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1))) |
(fma.f64 N (fma.f64 N (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 N)) |
(/ -1 N) |
(/.f64 #s(literal -1 binary64) N) |
(/ (- (* 1/2 (/ 1 N)) 1) N) |
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N) |
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N) |
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N (*.f64 N N))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N) |
(/ -1 N) |
(/.f64 #s(literal -1 binary64) N) |
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (neg.f64 N)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) (neg.f64 N)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) (neg.f64 N)) |
(pow (log N) 2) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(pow (log N) 2) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(pow (log N) 2) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(pow (log N) 2) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(pow (log (/ 1 N)) 2) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(pow (log (/ 1 N)) 2) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(pow (log (/ 1 N)) 2) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(pow (log (/ 1 N)) 2) |
(pow.f64 (log.f64 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)) |
(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)) |
| 1× | batch-egg-rewrite |
| 3 896× | lower-*.f32 |
| 3 880× | lower-*.f64 |
| 3 402× | lower-/.f32 |
| 3 378× | lower-/.f64 |
| 3 212× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 412 |
| 0 | 115 | 395 |
| 1 | 524 | 366 |
| 2 | 4323 | 366 |
| 0 | 8189 | 366 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)) |
(neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))) |
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
(+.f64 N #s(literal -1/2 binary64)) |
(-.f64 (/.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))) |
#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)) |
(/.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) |
(/.f64 #s(literal -1/2 binary64) N) |
(*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) |
(*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
(log.f64 (fma.f64 N N N)) |
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N)) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N))) |
(-.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N)) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N)) |
(*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) |
#s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))) |
(/.f64 #s(literal -1/24 binary64) N) |
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) |
(*.f64 N N) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) |
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
| Outputs |
|---|
(+.f64 (neg.f64 N) (/.f64 (*.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N)) |
(+.f64 (/.f64 (*.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N) (neg.f64 N)) |
(-.f64 (/.f64 (*.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N) N) |
(-.f64 #s(literal 0 binary64) (+.f64 N (/.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (*.f64 N N)) (fma.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) N)) (/.f64 (*.f64 N N) (fma.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) N))) |
(-.f64 (fma.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal 0 binary64)) N) |
(fma.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (neg.f64 N)) |
(fma.f64 N #s(literal -1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N)) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (*.f64 (/.f64 #s(literal -1 binary64) N) N) (neg.f64 N)) |
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) N (neg.f64 N)) |
(fma.f64 #s(literal -1 binary64) N (/.f64 (*.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N)) |
(fma.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (/.f64 #s(literal -1 binary64) N) (neg.f64 N)) |
(fma.f64 (/.f64 N #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (neg.f64 N)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 N) (-.f64 (neg.f64 N) (/.f64 (*.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N)) (/.f64 (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (*.f64 N N))) (fma.f64 N (*.f64 N N) (/.f64 (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))) (*.f64 N (*.f64 N N)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) N) (-.f64 (/.f64 (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (*.f64 N N)) (*.f64 N N)))) |
(/.f64 (fma.f64 N (*.f64 N N) (/.f64 (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))) (*.f64 N (*.f64 N N)))) (fma.f64 (neg.f64 N) (-.f64 (neg.f64 N) (/.f64 (*.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N)) (/.f64 (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (*.f64 N N)))) |
(/.f64 (fma.f64 N (*.f64 N N) (/.f64 (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))) (*.f64 N (*.f64 N N)))) (fma.f64 N N (-.f64 (/.f64 (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (*.f64 N N)) (*.f64 N (/.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (*.f64 N N)) (*.f64 N N)) (fma.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) N)) |
(/.f64 (neg.f64 (fma.f64 N (*.f64 N N) (/.f64 (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))) (*.f64 N (*.f64 N N))))) (neg.f64 (fma.f64 (neg.f64 N) (-.f64 (neg.f64 N) (/.f64 (*.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N)) (/.f64 (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (*.f64 N N))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (*.f64 N N)) (*.f64 N N))) (neg.f64 (fma.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) N))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))) (*.f64 N (*.f64 N N))) (*.f64 N (*.f64 N N))) (+.f64 (/.f64 (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (*.f64 N N)) (fma.f64 N N (*.f64 (/.f64 (*.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N) N)))) |
(/.f64 (-.f64 (*.f64 N N) (/.f64 (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (*.f64 N N))) (-.f64 (neg.f64 N) (/.f64 (*.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N))) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 N) (-.f64 (neg.f64 N) (/.f64 (*.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N)) (/.f64 (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (*.f64 N N))) (fma.f64 N (*.f64 N N) (/.f64 (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))) (*.f64 N (*.f64 N N))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) N) (-.f64 (/.f64 (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (*.f64 N N)) (*.f64 N N))) #s(literal -1 binary64)) |
(*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) |
(*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))) |
(*.f64 (fma.f64 N (*.f64 N N) (/.f64 (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))) (*.f64 N (*.f64 N N)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 N) (-.f64 (neg.f64 N) (/.f64 (*.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N)) (/.f64 (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (*.f64 N N))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (*.f64 N N)) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) N))) |
(+.f64 N (/.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N)) |
(+.f64 #s(literal 0 binary64) (+.f64 N (/.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N))) |
(+.f64 (/.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N) N) |
(+.f64 (*.f64 (neg.f64 N) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 (*.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N) #s(literal -1 binary64)) (*.f64 (neg.f64 N) #s(literal -1 binary64))) |
(-.f64 N (/.f64 (*.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N)) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N) N)) |
(-.f64 (/.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N) (neg.f64 N)) |
(fma.f64 N #s(literal 1 binary64) (/.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N)) |
(fma.f64 N (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) N) |
(fma.f64 (neg.f64 N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) N) |
(fma.f64 (neg.f64 N) #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (neg.f64 N) N) |
(fma.f64 #s(literal 1 binary64) N (/.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 N) (/.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N) N) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 N) #s(literal 1 binary64)) (/.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N)) |
(fma.f64 (/.f64 (*.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N) #s(literal -1 binary64) (*.f64 (neg.f64 N) #s(literal -1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 N (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 N (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))) (neg.f64 N)) |
(/.f64 (+.f64 #s(literal 1/1728 binary64) (/.f64 #s(literal -1/13824 binary64) (*.f64 N (*.f64 N N)))) (*.f64 N (fma.f64 (/.f64 #s(literal -1/24 binary64) N) (-.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)))) |
(/.f64 (-.f64 #s(literal 1/144 binary64) (/.f64 #s(literal 1/576 binary64) (*.f64 N N))) (*.f64 N (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) #s(literal 1 binary64)) N) |
(/.f64 (*.f64 (+.f64 #s(literal 1/1728 binary64) (/.f64 #s(literal -1/13824 binary64) (*.f64 N (*.f64 N N)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal -1/24 binary64) N) (-.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)) N)) |
(/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (/.f64 #s(literal 1/576 binary64) (*.f64 N N))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)))) N) |
(/.f64 (*.f64 (+.f64 #s(literal 1/1728 binary64) (/.f64 #s(literal -1/13824 binary64) (*.f64 N (*.f64 N N)))) (/.f64 #s(literal 1 binary64) N)) (fma.f64 (/.f64 #s(literal -1/24 binary64) N) (-.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) #s(literal 1/144 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (/.f64 #s(literal 1/576 binary64) (*.f64 N N))) (/.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))) |
(/.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))) #s(literal -1 binary64)) N) |
(pow.f64 (/.f64 N (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (/.f64 #s(literal 1 binary64) N)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) |
(*.f64 (neg.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))) (/.f64 #s(literal -1 binary64) N)) |
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))) |
(*.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 N (+.f64 #s(literal 1/1728 binary64) (/.f64 #s(literal -1/13824 binary64) (*.f64 N (*.f64 N N))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/24 binary64) N) (-.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)))) |
(*.f64 (pow.f64 (/.f64 N (-.f64 #s(literal 1/144 binary64) (/.f64 #s(literal 1/576 binary64) (*.f64 N N)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)))) |
(exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 N)) #s(literal 2 binary64))) |
(neg.f64 (*.f64 N (neg.f64 N))) |
(pow.f64 N #s(literal 2 binary64)) |
(pow.f64 (neg.f64 N) #s(literal 2 binary64)) |
(pow.f64 (*.f64 N N) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 N)) #s(literal 2 binary64)) |
(*.f64 N N) |
(*.f64 (neg.f64 N) (neg.f64 N)) |
(*.f64 #s(literal 1 binary64) (*.f64 N N)) |
(*.f64 (*.f64 N N) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 N (neg.f64 N))) |
(*.f64 (*.f64 (neg.f64 N) #s(literal -1 binary64)) N) |
(*.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 N (neg.f64 N)))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))) (*.f64 N N))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 N (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) |
(/.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) N) |
(/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 N N)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))) (*.f64 N (neg.f64 N))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 N (*.f64 N N))) #s(literal -1/27 binary64)) (*.f64 (*.f64 N N) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N))))) |
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (neg.f64 N)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal -1/9 binary64)) (*.f64 (*.f64 N N) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) #s(literal 1 binary64)) (*.f64 N N)) |
(/.f64 (*.f64 (neg.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))) #s(literal 1 binary64)) (*.f64 N (neg.f64 N))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1 binary64)) N) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 N (*.f64 N N))) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N))) (*.f64 N N))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal -1/9 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)))) (*.f64 N N)) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 N (*.f64 N N))) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N)))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))) |
(pow.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 N (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))) N) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 N (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 N N))) |
(*.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) (/.f64 #s(literal 1 binary64) N)) |
(*.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) |
(*.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 N N)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))) (/.f64 #s(literal 1 binary64) (*.f64 N (neg.f64 N)))) |
(*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 N (*.f64 N N))) #s(literal -1/27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal -1/9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))) |
(+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) |
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
(-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N) #s(literal -1/3 binary64)) |
(fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) N) #s(literal -1/3 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/4 binary64) #s(literal -1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 N (*.f64 N N))) #s(literal -1/27 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal -1/9 binary64)))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 N (*.f64 N N))) #s(literal -1/27 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N)))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 N (*.f64 N N))) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (/.f64 #s(literal -1/12 binary64) N)))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal -1/9 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 N (*.f64 N N))) #s(literal -1/27 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal -1/9 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 N N))) (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))) |
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 N (*.f64 N N))) #s(literal -1/27 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal -1/9 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 N (*.f64 N N))) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))) |
(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) |
(+.f64 (log.f64 N) (neg.f64 (log1p.f64 N))) |
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
(+.f64 (neg.f64 (log1p.f64 N)) (log.f64 N)) |
(+.f64 (log.f64 (neg.f64 N)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 N) #s(literal -1 binary64))))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 N (+.f64 (neg.f64 N) #s(literal -1 binary64))))) |
(+.f64 (log.f64 (/.f64 N (fma.f64 N (*.f64 N N) #s(literal 1 binary64)))) (log.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) |
(+.f64 (log.f64 (/.f64 N (fma.f64 N (*.f64 N N) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (*.f64 N N) 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 #s(literal 1 binary64) (*.f64 N N)))) (log1p.f64 (neg.f64 N))) |
(-.f64 (log.f64 N) (log1p.f64 N)) |
(-.f64 (log.f64 N) (log.f64 (neg.f64 (+.f64 (neg.f64 N) #s(literal -1 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (neg.f64 N)) (log.f64 (+.f64 (neg.f64 N) #s(literal -1 binary64)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 N) (log.f64 N)) |
(fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (log1p.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)) (neg.f64 (log1p.f64 N))) |
(neg.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) |
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log1p.f64 N) (log.f64 N))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N))) |
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 N)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 N))) #s(literal 1 binary64))) |
(exp.f64 (+.f64 (log.f64 (log.f64 N)) (log.f64 (log.f64 N)))) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 N))) |
(*.f64 (log.f64 N) (log.f64 N)) |
Compiled 30 338 to 3 188 computations (89.5% saved)
45 alts after pruning (36 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 951 | 13 | 964 |
| Fresh | 6 | 23 | 29 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 959 | 45 | 1 004 |
| Status | Accuracy | Program |
|---|---|---|
| 26.2% | (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) | |
| 26.0% | (fma.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (/.f64 (*.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))))) (neg.f64 (*.f64 (log.f64 N) (/.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))))))) | |
| 26.3% | (/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) | |
| ✓ | 25.5% | (/.f64 (fma.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 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N))) |
| 25.1% | (/.f64 (fma.f64 (*.f64 (log1p.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))))) (log.f64 N) (neg.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N))) | |
| 24.0% | (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (fma.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (fma.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N))) | |
| 24.7% | (/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) | |
| 24.1% | (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))))) | |
| 24.2% | (/.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 N) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))))) (fma.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (*.f64 (log.f64 N) (log.f64 (fma.f64 N N N)))) (pow.f64 (*.f64 (log1p.f64 N) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))))) #s(literal 2 binary64))))) | |
| 24.1% | (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log1p.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))))) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 N) (/.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))))) #s(literal 2 binary64))) (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log1p.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))))) (*.f64 (log.f64 N) (/.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))))))) | |
| ✓ | 24.0% | (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) |
| 24.4% | (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) | |
| ✓ | 24.1% | (/.f64 (-.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N)) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N))) |
| 24.9% | (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) | |
| 27.5% | (*.f64 (*.f64 (-.f64 (log.f64 (fma.f64 (*.f64 N N) (*.f64 N (*.f64 N (*.f64 N N))) (*.f64 N (*.f64 N N)))) (log.f64 (fma.f64 N (-.f64 N (*.f64 N N)) (*.f64 N (*.f64 N (*.f64 N N)))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) | |
| 27.5% | (*.f64 (*.f64 (-.f64 (log.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N)) (log.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) | |
| 27.5% | (*.f64 (*.f64 (-.f64 (log.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) | |
| 27.5% | (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (log.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N (neg.f64 N)))) (log.f64 (fma.f64 N N (neg.f64 N))))))) | |
| 27.5% | (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (log.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (+.f64 N #s(literal -1 binary64))))))) | |
| ✓ | 27.5% | (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))) |
| 27.5% | (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 N N N))))))) | |
| 21.7% | (*.f64 (*.f64 #s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log1p.f64 N)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) | |
| 25.3% | (neg.f64 (fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))) | |
| 24.0% | (neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))) | |
| 27.6% | (neg.f64 (-.f64 (log.f64 (-.f64 (*.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (*.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (*.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (*.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))))))) (log.f64 (fma.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (fma.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (*.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))))))))) | |
| 27.5% | (neg.f64 (-.f64 (log.f64 (-.f64 (*.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))))) (*.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (log.f64 (fma.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))))))) | |
| ✓ | 27.2% | (neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))) |
| ✓ | 27.5% | (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
| 27.0% | (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) | |
| 27.0% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64))) | |
| 95.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)) | |
| ✓ | 92.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
| 95.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N)) | |
| 96.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))))) N)) | |
| 92.4% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N (/.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N)))) #s(literal -1 binary64)))))) | |
| 93.1% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))) | |
| 97.0% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) (*.f64 N (*.f64 N N)))) (neg.f64 N)))))) | |
| 95.8% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N)) (neg.f64 N)))))) | |
| 96.8% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))))) | |
| 96.8% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (*.f64 N (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))) #s(literal 1 binary64)))))))))) | |
| 93.0% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)))))))) | |
| 96.7% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))) | |
| ✓ | 84.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| ✓ | 92.2% | #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
| 92.0% | #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))))) |
Compiled 3 986 to 1 059 computations (73.4% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)))))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (*.f64 N (*.f64 N N))))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N)) |
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log1p.f64 N)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log1p.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))))) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 N) (/.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))))) #s(literal 2 binary64))) (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log1p.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))))) (*.f64 (log.f64 N) (/.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))))))) |
(*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) #s(approx (/ 1 (neg (log (+ (* N N) N)))) (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 N)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))))) (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N (*.f64 N (*.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (*.f64 N (*.f64 N N)) (neg.f64 (log.f64 N)))) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 N (*.f64 N N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 N (*.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 N) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))))) (fma.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (*.f64 (log.f64 N) (log.f64 (fma.f64 N N N)))) (pow.f64 (*.f64 (log1p.f64 N) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (*.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (*.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (fma.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (fma.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) |
(*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))) |
2 calls:
| 21.0ms | N |
| 18.0ms | (-.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 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)))))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (*.f64 N (*.f64 N N))))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #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 (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N)) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N)))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) (neg.f64 N)) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log 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)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) (*.f64 N (*.f64 N N)))) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) 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)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N)))))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N)) |
#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 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.f64 N (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))))))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (*.f64 N (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))) #s(literal 1 binary64)))))))))) |
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) |
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) N) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))) |
(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 (/.f64 #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))) #s(literal -1 binary64)))) |
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (*.f64 (log.f64 (/.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)))) #s(literal -1 binary64)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N (/.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N)))) #s(literal -1 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64))) |
(neg.f64 (fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (pow.f64 (/.f64 N (+.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)) (*.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 -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (*.f64 N (*.f64 N N))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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) (-.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 (-.f64 (log.f64 (-.f64 (*.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))))) (*.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (log.f64 (fma.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))))))) |
(*.f64 (neg.f64 (log.f64 (fma.f64 N N N))) (/.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) |
(*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) |
(*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 N N N))))))) |
(*.f64 (*.f64 #s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) |
(*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))))))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) |
(*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 N N N))))))) |
2 calls:
| 13.0ms | N |
| 10.0ms | (-.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 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)))))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (*.f64 N (*.f64 N N))))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #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 (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N)) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N)))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) (neg.f64 N)) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log 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)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) (*.f64 N (*.f64 N N)))) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) 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)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N)))))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N)) |
#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 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.f64 N (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))))))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (*.f64 N (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))) #s(literal 1 binary64)))))))))) |
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) |
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) N) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))) |
(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 (/.f64 #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))) #s(literal -1 binary64)))) |
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (*.f64 (log.f64 (/.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)))) #s(literal -1 binary64)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N (/.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N)))) #s(literal -1 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64))) |
(neg.f64 (fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (pow.f64 (/.f64 N (+.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)) (*.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 -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (*.f64 N (*.f64 N N))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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) (-.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 (-.f64 (log.f64 (-.f64 (*.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))))) (*.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (log.f64 (fma.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))))))) |
(*.f64 (neg.f64 (log.f64 (fma.f64 N N N))) (/.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) |
(*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) |
(*.f64 (neg.f64 (log.f64 (fma.f64 N N N))) (/.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N)))) |
2 calls:
| 11.0ms | N |
| 10.0ms | (-.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 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)))))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (*.f64 N (*.f64 N N))))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #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 (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N)) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N)))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) (neg.f64 N)) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log 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)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) (*.f64 N (*.f64 N N)))) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) 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)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N)))))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N)) |
#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 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.f64 N (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))))))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (*.f64 N (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))) #s(literal 1 binary64)))))))))) |
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) |
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) N) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))) |
(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 (/.f64 #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))) #s(literal -1 binary64)))) |
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (*.f64 (log.f64 (/.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)))) #s(literal -1 binary64)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N (/.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N)))) #s(literal -1 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64))) |
(neg.f64 (fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (pow.f64 (/.f64 N (+.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)) (*.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 -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (*.f64 N (*.f64 N N))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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) (-.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 (-.f64 (log.f64 (-.f64 (*.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))))) (*.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (log.f64 (fma.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))))))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) |
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
2 calls:
| 11.0ms | N |
| 9.0ms | (-.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 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)))))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (*.f64 N (*.f64 N N))))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #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 (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N)) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N)))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) (neg.f64 N)) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log 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)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) (*.f64 N (*.f64 N N)))) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) 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)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N)))))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N)) |
#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 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.f64 N (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))))))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (*.f64 N (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))) #s(literal 1 binary64)))))))))) |
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) |
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) |
2 calls:
| 8.0ms | N |
| 7.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | N |
| 99.4% | 2 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)))))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (*.f64 N (*.f64 N N))))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #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 (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N)) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N)))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) (neg.f64 N)) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log 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)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) (*.f64 N (*.f64 N N)))) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) 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)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N)))))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N)) |
#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 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.f64 N (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))))))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (*.f64 N (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))) #s(literal 1 binary64)))))))))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) |
2 calls:
| 8.0ms | N |
| 6.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 1 | N |
| 97.0% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)))))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (*.f64 N (*.f64 N N))))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #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 (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N)) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N)))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) (neg.f64 N)) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log 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)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) (*.f64 N (*.f64 N N)))) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) 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)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N)))))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N)) |
#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 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) (*.f64 N (*.f64 N N)))) (neg.f64 N)))))) |
2 calls:
| 11.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 7.0ms | N |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 97.0% | 1 | N |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)))))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (*.f64 N (*.f64 N N))))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #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 (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N)) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N)))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) (neg.f64 N)) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log 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)) N)) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))) |
2 calls:
| 5.0ms | N |
| 4.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 96.7% | 1 | N |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)))))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (*.f64 N (*.f64 N N))))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N)) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)) |
2 calls:
| 3.0ms | N |
| 3.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 1 | N |
| 95.3% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)))))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (*.f64 N (*.f64 N N))))) N)) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.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 |
|---|---|---|
| 93.1% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 93.1% | 1 | N |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
2 calls:
| 2.0ms | N |
| 2.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 1 | N |
| 92.5% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
2 calls:
| 2.0ms | N |
| 1.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.2% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 92.2% | 1 | N |
Compiled 10 to 7 computations (30% 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:
| 4.0ms | N |
| 1.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.3% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 84.3% | 1 | N |
Compiled 10 to 7 computations (30% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0009425739319732784 | 0.0017346473419621589 |
Compiled 11 to 10 computations (9.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0009425739319732784 | 0.0017346473419621589 |
Compiled 11 to 10 computations (9.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0009425739319732784 | 0.0017346473419621589 |
Compiled 11 to 10 computations (9.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0009425739319732784 | 0.0017346473419621589 |
Compiled 11 to 10 computations (9.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0009425739319732784 | 0.0017346473419621589 |
Compiled 11 to 10 computations (9.1% saved)
| 1× | egg-herbie |
| 460× | unsub-neg_binary64 |
| 340× | neg-mul-1_binary64 |
| 260× | distribute-lft-neg-in_binary64 |
| 174× | neg-sub0_binary64 |
| 150× | cancel-sign-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 601 |
| 1 | 163 | 601 |
| 2 | 221 | 601 |
| 3 | 279 | 593 |
| 4 | 337 | 593 |
| 5 | 474 | 593 |
| 6 | 687 | 593 |
| 7 | 887 | 593 |
| 8 | 1108 | 593 |
| 9 | 1249 | 593 |
| 10 | 1365 | 593 |
| 11 | 1438 | 593 |
| 12 | 1470 | 593 |
| 13 | 1474 | 593 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) (*.f64 (neg.f64 (log.f64 (fma.f64 N N N))) (/.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N))))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) (*.f64 N (*.f64 N N)))) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) #s(literal 1/2 binary64)) N) (neg.f64 N)))))) (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 N) (log1p.f64 N))))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) #s(literal 1/2 binary64)) N) (neg.f64 N)))))) (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 N N N))))))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) (*.f64 (neg.f64 (log.f64 (fma.f64 N N N))) (/.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N))))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) #s(literal 1/2 binary64)) N) (neg.f64 N)))))) (neg.f64 (*.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N)))))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) #s(literal 1/2 binary64)) N) (neg.f64 N)))))) (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) #s(literal 1/2 binary64)) N) (neg.f64 N)))))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) #s(literal 1/2 binary64)) N) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) (*.f64 N (*.f64 N N)))) (neg.f64 N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| 11 472× | lower-fma.f64 |
| 11 472× | lower-fma.f32 |
| 10 962× | lower-fma.f64 |
| 10 962× | lower-fma.f32 |
| 9 852× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 348 |
| 1 | 250 | 302 |
| 2 | 588 | 301 |
| 3 | 1587 | 295 |
| 4 | 4201 | 287 |
| 5 | 6272 | 287 |
| 6 | 7327 | 287 |
| 0 | 8056 | 278 |
| 0 | 883 | 6152 |
| 1 | 2781 | 5641 |
| 0 | 8266 | 5364 |
| 0 | 836 | 7883 |
| 1 | 2697 | 6603 |
| 0 | 8356 | 6337 |
| 0 | 6 | 16 |
| 0 | 10 | 15 |
| 1 | 42 | 15 |
| 2 | 269 | 15 |
| 3 | 2627 | 15 |
| 0 | 8846 | 12 |
| 0 | 47 | 263 |
| 0 | 83 | 258 |
| 1 | 317 | 256 |
| 2 | 2350 | 256 |
| 0 | 9043 | 244 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 677 to 276 computations (59.2% saved)
Compiled 758 to 220 computations (71% saved)
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