
Time bar (total: 14.4s)
| 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)
ival-sub: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-log: 0.0ms (0% of total)ival-and: 0.0ms (0% of total)const: 0.0ms (0% of total)ival->: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)ival-<: 0.0ms (0% of total)| 1.5s | 7027× | 1 | valid |
| 96.0ms | 1229× | 0 | valid |
ival-log: 533.0ms (50.3% of total)backward-pass: 158.0ms (14.9% of total)ival-add: 133.0ms (12.5% of total)ival-sub: 92.0ms (8.7% of total)ival->: 68.0ms (6.4% of total)ival-and: 29.0ms (2.7% of total)ival-<: 26.0ms (2.5% of total)const: 21.0ms (2% of total)| 2× | egg-herbie |
| 270× | sum3-define |
| 244× | fnmadd-define |
| 184× | fmsub-define |
| 168× | fnmsub-define |
| 168× | fma-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 26 |
| 1 | 33 | 20 |
| 2 | 62 | 19 |
| 3 | 108 | 19 |
| 4 | 199 | 19 |
| 5 | 398 | 19 |
| 6 | 590 | 19 |
| 7 | 766 | 19 |
| 8 | 858 | 19 |
| 9 | 964 | 19 |
| 10 | 1042 | 19 |
| 11 | 1048 | 19 |
| 0 | 6 | 7 |
| 1 | 15 | 5 |
| 2 | 20 | 5 |
| 3 | 27 | 5 |
| 4 | 37 | 5 |
| 5 | 69 | 5 |
| 6 | 127 | 5 |
| 7 | 215 | 5 |
| 8 | 300 | 5 |
| 9 | 406 | 5 |
| 10 | 484 | 5 |
| 11 | 490 | 5 |
| 0 | 490 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- (log (+ N 1)) (log N)) |
| Outputs |
|---|
(- (log (+ N 1)) (log N)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
| Inputs |
|---|
(- (log (+ N 1)) (log N)) |
(- (log (+ (neg N) 1)) (log (neg N))) |
(neg (- (log (+ (neg N) 1)) (log (neg N)))) |
| Outputs |
|---|
(- (log (+ N 1)) (log N)) |
(- (log1p N) (log N)) |
(- (log (+ (neg N) 1)) (log (neg N))) |
(- (log1p (neg N)) (log (neg N))) |
(neg (- (log (+ (neg N) 1)) (log (neg N)))) |
(- (log (neg N)) (log1p (neg N))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 247 | 2 | (78.38206142704476) | 5 | (15.164583708957485) | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 0 | 0 | - | 0 | - | (log.f64 (+.f64 N #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 N #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (log.f64 N) |
| 0 | 0 | - | 0 | - | N |
| 124.0ms | 424× | 1 | valid |
| 8.0ms | 88× | 0 | valid |
Compiled 48 to 20 computations (58.3% saved)
ival-log: 41.0ms (62.9% of total)backward-pass: 10.0ms (15.3% of total)ival-add: 7.0ms (10.7% of total)ival-sub: 5.0ms (7.7% of total)const: 2.0ms (3.1% of total)Compiled 6 to 4 computations (33.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 26.1% | (-.f64 (log1p.f64 N) (log.f64 N)) |
| ▶ | 26.1% | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 14 to 10 computations (28.6% saved)
| 1× | egg-herbie |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log.f64 N) |
| ✓ | cost-diff | 0 | (log1p.f64 N) |
| ✓ | cost-diff | 0 | (-.f64 (log1p.f64 N) (log.f64 N)) |
| ✓ | 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 | 128 | (log.f64 (+.f64 N #s(literal 1 binary64))) |
| 124× | fnmadd-define |
| 122× | sum3-define |
| 80× | fma-lowering-fma.f32 |
| 80× | fnmsub-define |
| 80× | fmsub-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 24 |
| 1 | 21 | 24 |
| 2 | 25 | 24 |
| 3 | 32 | 24 |
| 4 | 42 | 24 |
| 5 | 74 | 24 |
| 6 | 132 | 24 |
| 7 | 219 | 24 |
| 8 | 303 | 24 |
| 9 | 409 | 24 |
| 10 | 487 | 24 |
| 11 | 493 | 24 |
| 0 | 493 | 24 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (log (+ N 1)) (log N)) |
(log (+ N 1)) |
(+ N 1) |
N |
1 |
(log N) |
(- (log (+ 1 N)) (log N)) |
(log (+ 1 N)) |
N |
(log N) |
| Outputs |
|---|
(- (log (+ N 1)) (log N)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(log (+ N 1)) |
(log1p.f64 N) |
(+ N 1) |
(+.f64 N #s(literal 1 binary64)) |
N |
1 |
#s(literal 1 binary64) |
(log N) |
(log.f64 N) |
(- (log (+ 1 N)) (log N)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(log (+ 1 N)) |
(log1p.f64 N) |
N |
(log N) |
(log.f64 N) |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (log.f64 N) |
| ✓ | accuracy | 100.0% | (log1p.f64 N) |
| ✓ | accuracy | 98.6% | (-.f64 (log1p.f64 N) (log.f64 N)) |
| ✓ | 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 | 98.6% | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 298.0ms | 223× | 5 | exit |
| 5.0ms | 33× | 0 | valid |
Compiled 30 to 9 computations (70% saved)
ival-log: 126.0ms (58.7% of total)backward-pass: 45.0ms (21% of total)compiled-spec: 19.0ms (8.9% of total)ival-sub: 15.0ms (7% of total)ival-add: 8.0ms (3.7% of total)const: 1.0ms (0.5% of total)| Inputs |
|---|
#<alt (log (+ N 1))> |
#<alt (- (log (+ N 1)) (log N))> |
#<alt (+ N 1)> |
#<alt (log N)> |
#<alt (- (log (+ 1 N)) (log N))> |
#<alt (log (+ 1 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))))> |
#<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 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))))> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | N | @ | 0 | (log N) |
| 17.0ms | N | @ | -inf | (log N) |
| 11.0ms | N | @ | inf | (log N) |
| 0.0ms | N | @ | inf | (log (+ N 1)) |
| 0.0ms | N | @ | -inf | (- (log (+ N 1)) (log N)) |
| 1× | batch-egg-rewrite |
| 2764× | *-lowering-*.f32 |
| 2764× | *-lowering-*.f64 |
| 1664× | /-lowering-/.f32 |
| 1664× | /-lowering-/.f64 |
| 1234× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 71 | 19 |
| 2 | 404 | 19 |
| 3 | 3902 | 19 |
| 0 | 8685 | 19 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (+ N 1)) |
(- (log (+ N 1)) (log N)) |
(+ N 1) |
(log N) |
(- (log (+ 1 N)) (log N)) |
(log (+ 1 N)) |
| Outputs |
|---|
(log.f64 (+.f64 N #s(literal 1 binary64))) |
(+.f64 (log1p.f64 N) #s(literal 0 binary64)) |
(+.f64 (log1p.f64 N) (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))))) |
(+.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))) (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))) |
(+.f64 (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))) |
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))) |
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))))) |
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))) |
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))))) (log1p.f64 (*.f64 N (*.f64 N N)))) |
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))) (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)))) |
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N 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 (+.f64 (*.f64 N N) #s(literal -1 binary64)) (+.f64 (*.f64 N N) #s(literal -1 binary64)))) (log1p.f64 N)) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) (*.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))))) (log.f64 (+.f64 (*.f64 N (*.f64 N (*.f64 N N))) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)))))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))) (+.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64)))))) (log.f64 (+.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))) (*.f64 N (+.f64 N #s(literal -1 binary64)))))))) (log1p.f64 (*.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))) (-.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64))))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))) (*.f64 N (+.f64 N #s(literal -1 binary64))))))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))) |
(+.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) (+.f64 (*.f64 N (*.f64 N N)) #s(literal -1 binary64)))) (log1p.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) |
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))) (log1p.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 N))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(-.f64 (log1p.f64 (*.f64 N (*.f64 N N))) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))))) |
(-.f64 (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (log.f64 (-.f64 #s(literal 1 binary64) N))) |
(-.f64 (log.f64 (+.f64 (*.f64 N (*.f64 N (*.f64 N N))) #s(literal -1 binary64))) (log.f64 (*.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 N N))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N (*.f64 N N))))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (*.f64 N N))))) |
(-.f64 (log1p.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (*.f64 N N)) (+.f64 (*.f64 N (*.f64 N N)) #s(literal -1 binary64))))))) |
(-.f64 (log1p.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))) (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) (*.f64 N N))))))) |
(-.f64 (log.f64 (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) #s(literal -1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))) (+.f64 (*.f64 N (*.f64 N N)) #s(literal -1 binary64))))) |
(-.f64 (log.f64 (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) #s(literal -1 binary64))) (log.f64 (*.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 (*.f64 N (*.f64 N (*.f64 N N))) (+.f64 #s(literal 1 binary64) (*.f64 N N)))))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (+.f64 N #s(literal -1 binary64)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N N))))) (log.f64 (-.f64 #s(literal 1 binary64) N))) |
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (*.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (log.f64 (*.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))))) |
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (*.f64 N (*.f64 N (-.f64 #s(literal 1 binary64) N))))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))) |
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(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) #s(literal 1 binary64))) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))))) |
(-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal 1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) N))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 N #s(literal -1 binary64)) #s(literal -3 binary64)))) (log.f64 (+.f64 (*.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64)))) (+.f64 (*.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 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -3 binary64)) (pow.f64 (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)))) (log.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))) (+.f64 (*.f64 (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))))))) |
(-.f64 (log.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)))))) (log.f64 (+.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))) (*.f64 (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))))) |
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))))) (log1p.f64 (*.f64 (*.f64 N (*.f64 N N)) (+.f64 (*.f64 N (*.f64 N N)) #s(literal -1 binary64))))) |
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))))) (log.f64 (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))))) (log1p.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 N N)) N))) |
(-.f64 (log.f64 (*.f64 (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))))) (log.f64 (+.f64 (*.f64 N (*.f64 N N)) #s(literal -1 binary64)))) |
(-.f64 (log.f64 (*.f64 (+.f64 (*.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))))) (log.f64 (+.f64 (*.f64 N (*.f64 N (*.f64 N N))) (+.f64 #s(literal 1 binary64) (*.f64 N N))))) |
(-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N (*.f64 N (*.f64 N N))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))) (log1p.f64 (*.f64 N N))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))) (log1p.f64 (*.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) (*.f64 N N))))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N (*.f64 N N)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))) (log1p.f64 (*.f64 N N))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 N))) |
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 N (*.f64 N N))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (log1p.f64 (*.f64 N (*.f64 N N))) (log1p.f64 (*.f64 N (*.f64 N N)))) (+.f64 (*.f64 (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))))) (*.f64 (log1p.f64 (*.f64 N (*.f64 N N))) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64))) (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)))) (+.f64 (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))) (*.f64 (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (+.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) N)) (log.f64 (-.f64 #s(literal 1 binary64) N))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (log.f64 (-.f64 #s(literal 1 binary64) N)))))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 (*.f64 N (*.f64 N N))) (log1p.f64 (*.f64 N (*.f64 N N)))) (*.f64 (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64))) (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)))) (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64))))) (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) N)) (log.f64 (-.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N)))) |
(log1p.f64 N) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 N))) |
| 1× | egg-herbie |
| 1988× | --lowering--.f32 |
| 1988× | --lowering--.f64 |
| 1932× | fnmsub-define |
| 1584× | +-lowering-+.f64 |
| 1584× | +-lowering-+.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 580 |
| 1 | 290 | 496 |
| 2 | 748 | 478 |
| 3 | 2067 | 472 |
| 4 | 6711 | 472 |
| 0 | 8364 | 472 |
| 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)))) |
(* -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)) |
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)))) |
| Outputs |
|---|
N |
(* N (+ 1 (* -1/2 N))) |
(*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal -1/2 binary64)))) |
(* N (+ 1 (* N (- (* 1/3 N) 1/2)))) |
(*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal -1/2 binary64) (*.f64 N #s(literal 1/3 binary64)))))) |
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2)))) |
(*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal -1/2 binary64) (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N #s(literal -1/4 binary64)))))))) |
(* -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 (/.f64 #s(literal -1 binary64) 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 (/.f64 #s(literal -1 binary64) N)))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) (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 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) (log.f64 (/.f64 #s(literal -1 binary64) N)))) |
(* -1 (log N)) |
(-.f64 #s(literal 0 binary64) (log.f64 N)) |
(- N (log N)) |
(-.f64 N (log.f64 N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal -1/2 binary64)))) (log.f64 N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal -1/2 binary64) (*.f64 N #s(literal 1/3 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 #s(literal -1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) 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 #s(literal -1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) 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 (/.f64 #s(literal -1 binary64) 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)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) |
(* -1 (log N)) |
(-.f64 #s(literal 0 binary64) (log.f64 N)) |
(- N (log N)) |
(-.f64 N (log.f64 N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal -1/2 binary64)))) (log.f64 N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal -1/2 binary64) (*.f64 N #s(literal 1/3 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 #s(literal -1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) 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 #s(literal -1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N) |
N |
(* N (+ 1 (* -1/2 N))) |
(*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal -1/2 binary64)))) |
(* N (+ 1 (* N (- (* 1/3 N) 1/2)))) |
(*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal -1/2 binary64) (*.f64 N #s(literal 1/3 binary64)))))) |
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2)))) |
(*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal -1/2 binary64) (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N #s(literal -1/4 binary64)))))))) |
(* -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 (/.f64 #s(literal -1 binary64) 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 (/.f64 #s(literal -1 binary64) N)))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) (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 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) (log.f64 (/.f64 #s(literal -1 binary64) N)))) |
Compiled 15736 to 1234 computations (92.2% saved)
26 alts after pruning (25 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 623 | 25 | 648 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 624 | 26 | 650 |
| Status | Accuracy | Program |
|---|---|---|
| 27.7% | (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) | |
| 27.8% | (fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))))) | |
| 25.9% | (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) | |
| ▶ | 26.0% | (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64))))) |
| 26.1% | (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))) | |
| 25.9% | (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) | |
| 26.0% | (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) | |
| ▶ | 95.2% | (/.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) |
| 93.7% | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) | |
| 90.7% | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) | |
| 26.1% | (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (log.f64 N) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))) | |
| 29.1% | (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) | |
| ▶ | 82.6% | (/.f64 #s(literal 1 binary64) N) |
| ✓ | 26.1% | (-.f64 (log1p.f64 N) (log.f64 N)) |
| ▶ | 25.8% | (-.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64)))) |
| 29.1% | (*.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))) | |
| 29.1% | (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64))) | |
| ▶ | 29.1% | (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))))) |
| 26.0% | (*.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))))) | |
| 29.6% | (*.f64 (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))) | |
| 26.0% | (neg.f64 (/.f64 (+.f64 (neg.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 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))) | |
| 29.6% | (neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) | |
| 29.0% | (neg.f64 (log.f64 (/.f64 (*.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N N))))) | |
| 29.6% | (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) | |
| 29.1% | (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) | |
| 29.1% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64))) |
Compiled 1334 to 650 computations (51.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) |
| ✓ | cost-diff | 128 | (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))) |
| ✓ | cost-diff | 52608 | (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))))) |
| ✓ | cost-diff | 0 | (log.f64 N) |
| ✓ | cost-diff | 0 | (pow.f64 (log.f64 N) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 N N) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 N N) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) |
| ✓ | cost-diff | 0 | (-.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) N) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) |
| ✓ | cost-diff | 0 | (-.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)) |
| ✓ | cost-diff | 0 | (/.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) |
| 2624× | *-lowering-*.f32 |
| 2624× | *-lowering-*.f64 |
| 1868× | sum3-define |
| 1272× | +-lowering-+.f64 |
| 1272× | +-lowering-+.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 335 |
| 1 | 105 | 298 |
| 2 | 192 | 250 |
| 3 | 447 | 250 |
| 4 | 1258 | 249 |
| 5 | 4651 | 249 |
| 0 | 8226 | 249 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- 1 (/ (+ 1/2 (/ (- -1/3 (/ -1/4 N)) N)) N)) N) |
(- 1 (/ (+ 1/2 (/ (- -1/3 (/ -1/4 N)) N)) N)) |
1 |
(/ (+ 1/2 (/ (- -1/3 (/ -1/4 N)) N)) N) |
(+ 1/2 (/ (- -1/3 (/ -1/4 N)) N)) |
1/2 |
(/ (- -1/3 (/ -1/4 N)) N) |
(- -1/3 (/ -1/4 N)) |
-1/3 |
(/ -1/4 N) |
-1/4 |
N |
(/ 1 N) |
1 |
N |
(- (log (/ (+ (* N N) -1) N)) (log (+ N -1))) |
(log (/ (+ (* N N) -1) N)) |
(/ (+ (* N N) -1) N) |
(+ (* N N) -1) |
(* N N) |
N |
-1 |
(log (+ N -1)) |
(+ N -1) |
(/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ (/ 1 N) (+ N 1)))) |
(- (pow (log N) 2) (pow (log (+ 1 N)) 2)) |
(pow (log N) 2) |
(log N) |
N |
2 |
(pow (log (+ 1 N)) 2) |
(log (+ 1 N)) |
(log (/ (/ 1 N) (+ N 1))) |
(/ (/ 1 N) (+ N 1)) |
(/ 1 N) |
1 |
(+ N 1) |
(* (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))) (* (log (/ (+ N 1) N)) (/ 1 (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1)))))))) |
(+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))) |
(pow (log (+ 1 N)) 2) |
(log (+ 1 N)) |
N |
2 |
(* (log N) (log (* N (+ N 1)))) |
(log N) |
(log (* N (+ N 1))) |
(* N (+ N 1)) |
(+ N 1) |
1 |
(* (log (/ (+ N 1) N)) (/ 1 (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))))) |
(log (/ (+ N 1) N)) |
(/ (+ N 1) N) |
(/ 1 (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1)))))) |
| Outputs |
|---|
(/ (- 1 (/ (+ 1/2 (/ (- -1/3 (/ -1/4 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)) N) |
(- 1 (/ (+ 1/2 (/ (- -1/3 (/ -1/4 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 |
#s(literal 1 binary64) |
(/ (+ 1/2 (/ (- -1/3 (/ -1/4 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)) N) |
(+ 1/2 (/ (- -1/3 (/ -1/4 N)) N)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) |
1/2 |
#s(literal 1/2 binary64) |
(/ (- -1/3 (/ -1/4 N)) N) |
(/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) |
(- -1/3 (/ -1/4 N)) |
(-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) |
-1/3 |
#s(literal -1/3 binary64) |
(/ -1/4 N) |
(/.f64 #s(literal -1/4 binary64) N) |
-1/4 |
#s(literal -1/4 binary64) |
N |
(/ 1 N) |
(/.f64 #s(literal 1 binary64) N) |
1 |
#s(literal 1 binary64) |
N |
(- (log (/ (+ (* N N) -1) N)) (log (+ N -1))) |
(-.f64 (log.f64 (+.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)))) (log.f64 (+.f64 N #s(literal -1 binary64)))) |
(log (/ (+ (* N N) -1) N)) |
(log.f64 (+.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)))) |
(/ (+ (* N N) -1) N) |
(+.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N))) |
(+ (* N N) -1) |
(+.f64 (*.f64 N N) #s(literal -1 binary64)) |
(* N N) |
(*.f64 N N) |
N |
-1 |
#s(literal -1 binary64) |
(log (+ N -1)) |
(log.f64 (+.f64 N #s(literal -1 binary64))) |
(+ N -1) |
(+.f64 N #s(literal -1 binary64)) |
(/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ (/ 1 N) (+ N 1)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) |
(- (pow (log N) 2) (pow (log (+ 1 N)) 2)) |
(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) |
(pow (log N) 2) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(log N) |
(log.f64 N) |
N |
2 |
#s(literal 2 binary64) |
(pow (log (+ 1 N)) 2) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
(log (+ 1 N)) |
(log1p.f64 N) |
(log (/ (/ 1 N) (+ N 1))) |
(log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) |
(/ (/ 1 N) (+ N 1)) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))) |
(/ 1 N) |
(/.f64 #s(literal 1 binary64) N) |
1 |
#s(literal 1 binary64) |
(+ N 1) |
(+.f64 #s(literal 1 binary64) N) |
(* (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))) (* (log (/ (+ N 1) N)) (/ 1 (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1)))))))) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) |
(+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))) |
(+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(pow (log (+ 1 N)) 2) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
(log (+ 1 N)) |
(log1p.f64 N) |
N |
2 |
#s(literal 2 binary64) |
(* (log N) (log (* N (+ N 1)))) |
(*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) |
(log N) |
(log.f64 N) |
(log (* N (+ N 1))) |
(log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) |
(* N (+ N 1)) |
(*.f64 N (+.f64 #s(literal 1 binary64) N)) |
(+ N 1) |
(+.f64 #s(literal 1 binary64) N) |
1 |
#s(literal 1 binary64) |
(* (log (/ (+ N 1) N)) (/ 1 (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))))) |
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) |
(log (/ (+ N 1) N)) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) |
(/ (+ N 1) N) |
(/.f64 (+.f64 #s(literal 1 binary64) N) N) |
(/ 1 (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))) |
| ✓ | accuracy | 99.9% | (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))))) |
| ✓ | accuracy | 99.0% | (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64))))) |
| ✓ | accuracy | 99.9% | (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.9% | (pow.f64 (log.f64 N) #s(literal 2 binary64)) |
| ✓ | accuracy | 98.9% | (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 N N) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) |
| ✓ | accuracy | 98.6% | (-.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) N) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) |
| ✓ | accuracy | 100.0% | (/.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) |
| ✓ | accuracy | 99.9% | (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) |
| 851.0ms | 223× | 5 | exit |
| 20.0ms | 33× | 0 | valid |
Compiled 319 to 41 computations (87.1% saved)
backward-pass: 148.0ms (31.8% of total)ival-log: 147.0ms (31.6% of total)ival-div: 51.0ms (11% of total)ival-mult: 25.0ms (5.4% of total)ival-pow: 23.0ms (4.9% of total)compiled-spec: 21.0ms (4.5% of total)ival-add: 21.0ms (4.5% of total)ival-sub: 16.0ms (3.4% of total)...c/correct-round.rkt:119:19: 10.0ms (2.2% of total)const: 3.0ms (0.6% of total)| Inputs |
|---|
#<alt (/ (- 1 (/ (+ 1/2 (/ (- -1/3 (/ -1/4 N)) N)) N)) N)> |
#<alt (- 1 (/ (+ 1/2 (/ (- -1/3 (/ -1/4 N)) N)) N))> |
#<alt (/ (+ 1/2 (/ (- -1/3 (/ -1/4 N)) N)) N)> |
#<alt (+ 1/2 (/ (- -1/3 (/ -1/4 N)) N))> |
#<alt (/ 1 N)> |
#<alt (- (log (/ (+ (* N N) -1) N)) (log (+ N -1)))> |
#<alt (log (/ (+ (* N N) -1) N))> |
#<alt (+ (* N N) -1)> |
#<alt (* N N)> |
#<alt (/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ (/ 1 N) (+ N 1))))> |
#<alt (- (pow (log N) 2) (pow (log (+ 1 N)) 2))> |
#<alt (pow (log N) 2)> |
#<alt (log N)> |
#<alt (* (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))) (* (log (/ (+ N 1) N)) (/ 1 (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))))))> |
#<alt (* (log (/ (+ N 1) N)) (/ 1 (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1)))))))> |
#<alt (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1)))))> |
#<alt (pow (log (+ 1 N)) 2)> |
#<alt (/ (- -1/3 (/ -1/4 N)) N)> |
#<alt (- -1/3 (/ -1/4 N))> |
#<alt (/ (+ (* N N) -1) N)> |
#<alt (log (/ (+ N 1) N))> |
| 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 (/ -1/4 (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 (/ (+ 1/4 (* -1/3 N)) (pow N 3))> |
#<alt (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))> |
#<alt (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))> |
#<alt (/ 1/2 N)> |
#<alt (/ (- 1/2 (* 1/3 (/ 1 N))) N)> |
#<alt (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)> |
#<alt (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)> |
#<alt (/ 1/2 N)> |
#<alt (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))> |
#<alt (/ 1/4 (pow N 2))> |
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))> |
#<alt (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 2))> |
#<alt (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 2))> |
#<alt 1/2> |
#<alt (- 1/2 (* 1/3 (/ 1 N)))> |
#<alt (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N)))> |
#<alt (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N)))> |
#<alt 1/2> |
#<alt (- 1/2 (* 1/3 (/ 1 N)))> |
#<alt (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))> |
#<alt (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) 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 (* -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 (+ (log -1) (* -1 (log N)))> |
#<alt (+ (log -1) (+ (* -1 (log N)) (* -1 (pow N 2))))> |
#<alt (+ (log -1) (+ (* -1 (log N)) (* (pow N 2) (- (* -1/2 (pow N 2)) 1))))> |
#<alt (+ (log -1) (+ (* -1 (log N)) (* (pow N 2) (- (* (pow N 2) (- (* -1/3 (pow N 2)) 1/2)) 1))))> |
#<alt (* -1 (log (/ 1 N)))> |
#<alt (- (* -1 (log (/ 1 N))) (/ 1 (pow N 2)))> |
#<alt (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow N 2)))) (pow N 2))))> |
#<alt (- (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow N 2)))) (pow N 4)))) (/ 1 (pow N 2)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 N))))> |
#<alt (- (+ (log -1) (* -1 (log (/ -1 N)))) (/ 1 (pow N 2)))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow N 2)))) (pow N 2)))))> |
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow N 2)))) (pow N 4))))) (/ 1 (pow N 2)))> |
#<alt -1> |
#<alt (- (pow N 2) 1)> |
#<alt (- (pow N 2) 1)> |
#<alt (- (pow N 2) 1)> |
#<alt (pow N 2)> |
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))> |
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))> |
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))> |
#<alt (pow N 2)> |
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))> |
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))> |
#<alt (* (pow N 2) (- 1 (/ 1 (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 (pow N 2)> |
#<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 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N)> |
#<alt (/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* 1/2 (/ (- 1 (* -2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N))))))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N)> |
#<alt (/ (- (+ 1 (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* 1/2 (/ (- 1 (* -2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N))))))))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/2 (/ (- 1 (* -2/3 (log (/ 1 N)))) (log (/ 1 N)))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)> |
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (log (/ -1 N)))))> |
#<alt (* -1 (/ (+ -1 (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (/ (log -1) (log (/ -1 N))))) N))> |
#<alt (* -1 (/ (+ -1 (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* 1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (/ (log -1) (log (/ -1 N))))) N))> |
#<alt (* -1 (/ (+ -1 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* 1/6 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* 1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N))))))) N)) (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N))))) (+ (* 1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (/ (log -1) (log (/ -1 N))))) N))> |
#<alt (pow (log N) 2)> |
#<alt (+ (* -1 (pow N 2)) (pow (log N) 2))> |
#<alt (+ (* (pow N 2) (- N 1)) (pow (log N) 2))> |
#<alt (+ (* (pow N 2) (- (* N (+ 1 (* -11/12 N))) 1)) (pow (log N) 2))> |
#<alt (* 2 (/ (log (/ 1 N)) N))> |
#<alt (/ (- (* -1 (/ (+ 1 (log (/ 1 N))) N)) (* -2 (log (/ 1 N)))) N)> |
#<alt (/ (- (/ 1 (pow N 2)) (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N))))) N)> |
#<alt (/ (- (+ (* -1 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (pow N 3))) (/ 1 (pow N 2))) (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N))))) N)> |
#<alt (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (/ 1 N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (/ 1 N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (* 11/12 (/ 1 N))) (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))> |
#<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)> |
#<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))))> |
#<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 (- (* 2 (/ N (pow (log N) 2))) (/ 1 (log N)))> |
#<alt (- (* N (+ (* -1 (* N (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))))) (* 2 (/ 1 (pow (log N) 2))))) (/ 1 (log N)))> |
#<alt (- (* N (+ (* N (- (* N (- (* 1/3 (/ 1 (pow (log N) 2))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))) (log N))) (+ (* -1 (/ (- (* 1/3 (log N)) 1) (pow (log N) 3))) (* 2 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 4))))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))))) (* 2 (/ 1 (pow (log N) 2))))) (/ 1 (log N)))> |
#<alt (/ 1 (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))> |
#<alt (/ (+ (* -1 (/ (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) N)) (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) N)> |
#<alt (/ (- (+ (* 1/3 (/ 1 (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* -2 (/ (log (/ 1 N)) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1 (/ (log (/ 1 N)) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1 (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 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))))) (+ (* 1/2 (/ (log (/ 1 N)) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (/ 1/2 (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ 1 (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (/ (log (/ 1 N)) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))))))))) N)> |
#<alt (/ (- (+ (* 1/3 (/ 1 (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (/ 1 (* (pow N 3) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -2 (/ (log (/ 1 N)) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1 (/ (log (/ 1 N)) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1 (/ (* (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))) (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 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))))) (+ (* -2/3 (/ (log (/ 1 N)) (* (pow N 3) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1/3 (/ (log (/ 1 N)) (* (pow N 3) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* 1/2 (/ (log (/ 1 N)) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (/ 1/4 (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ 1/2 (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ 1 (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (/ (log (/ 1 N)) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (- (* 1/3 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* -1 (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* 1/2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (/ 1 (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))))))) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))))))))))))) N)> |
#<alt (/ 1 (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (* N (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) (/ 1/2 (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* 1/2 (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (* N (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) (/ 1/3 (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* 1/2 (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* 1/2 (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (* -1 (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* 1/2 (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* 1/3 (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))))) (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (* -1 (/ (+ 1 (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N))))))) (* N (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) (/ 1/4 (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))))) (+ (* -1 (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* 1/2 (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* 1/3 (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))))) N)) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* 1/2 (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))> |
#<alt (pow (log N) 2)> |
#<alt (+ (* N (log N)) (pow (log N) 2))> |
#<alt (+ (* N (+ (log N) (* N (+ 1 (* -1/2 (log N)))))) (pow (log N) 2))> |
#<alt (+ (* N (+ (log N) (* N (+ 1 (+ (* -1/2 (log N)) (* N (- (* 1/3 (log N)) 1))))))) (pow (log N) 2))> |
#<alt (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))> |
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))> |
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2)))))))> |
#<alt (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))))))) (/ 1 (pow N 3)))> |
#<alt (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))> |
#<alt (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))> |
#<alt (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))> |
#<alt (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (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))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))> |
#<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))> |
#<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 N)> |
#<alt (/ (- (pow N 2) 1) N)> |
#<alt (/ (- (pow N 2) 1) N)> |
#<alt (/ (- (pow N 2) 1) N)> |
#<alt N> |
#<alt (* N (- 1 (/ 1 (pow N 2))))> |
#<alt (* N (- 1 (/ 1 (pow N 2))))> |
#<alt (* N (- 1 (/ 1 (pow N 2))))> |
#<alt N> |
#<alt (* -1 (* N (- (/ 1 (pow N 2)) 1)))> |
#<alt (* -1 (* N (- (/ 1 (pow N 2)) 1)))> |
#<alt (* -1 (* N (- (/ 1 (pow N 2)) 1)))> |
#<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))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | N | @ | -inf | (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))) |
| 3.0ms | N | @ | inf | (* (log (/ (+ N 1) N)) (/ 1 (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))))) |
| 3.0ms | N | @ | -inf | (* (log (/ (+ N 1) N)) (/ 1 (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))))) |
| 2.0ms | N | @ | -inf | (/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ (/ 1 N) (+ N 1)))) |
| 2.0ms | N | @ | inf | (/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ (/ 1 N) (+ N 1)))) |
| 1× | batch-egg-rewrite |
| 4712× | *-lowering-*.f32 |
| 4712× | *-lowering-*.f64 |
| 3002× | /-lowering-/.f32 |
| 3002× | /-lowering-/.f64 |
| 2468× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 181 |
| 1 | 293 | 153 |
| 2 | 2589 | 153 |
| 0 | 9757 | 153 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- 1 (/ (+ 1/2 (/ (- -1/3 (/ -1/4 N)) N)) N)) N) |
(- 1 (/ (+ 1/2 (/ (- -1/3 (/ -1/4 N)) N)) N)) |
(/ (+ 1/2 (/ (- -1/3 (/ -1/4 N)) N)) N) |
(+ 1/2 (/ (- -1/3 (/ -1/4 N)) N)) |
(/ 1 N) |
(- (log (/ (+ (* N N) -1) N)) (log (+ N -1))) |
(log (/ (+ (* N N) -1) N)) |
(+ (* N N) -1) |
(* N N) |
(/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ (/ 1 N) (+ N 1)))) |
(- (pow (log N) 2) (pow (log (+ 1 N)) 2)) |
(pow (log N) 2) |
(log N) |
(* (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))) (* (log (/ (+ N 1) N)) (/ 1 (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1)))))))) |
(* (log (/ (+ N 1) N)) (/ 1 (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))))) |
(+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))) |
(pow (log (+ 1 N)) 2) |
(/ (- -1/3 (/ -1/4 N)) N) |
(- -1/3 (/ -1/4 N)) |
(/ (+ (* N N) -1) N) |
(log (/ (+ N 1) N)) |
| Outputs |
|---|
(+.f64 (/.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) (fma.f64 (/.f64 #s(literal -1 binary64) 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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))) |
(+.f64 (/.f64 #s(literal 1 binary64) N) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))) |
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(/.f64 #s(literal 1 binary64) (/.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)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))))) |
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(pow.f64 (/.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)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 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 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 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 binary64))) |
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(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)) |
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(pow.f64 (/.f64 (/.f64 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 binary64)) #s(literal -1 binary64)) |
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(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (/.f64 #s(literal 1 binary64) N)) |
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) |
(*.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) N)) |
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(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) |
(pow.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))) (-.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) |
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))) |
(*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) |
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))))) |
(*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))) |
(*.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))) |
(*.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) |
(*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))) |
| 1× | egg-herbie |
| 4898× | +-lowering-+.f64 |
| 4898× | +-lowering-+.f32 |
| 3710× | *-lowering-*.f32 |
| 3710× | *-lowering-*.f64 |
| 1382× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 623 | 5103 |
| 1 | 2236 | 4240 |
| 0 | 8187 | 4240 |
| 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)) |
(/ -1/4 (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)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 3)) |
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3)) |
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3)) |
(/ 1/2 N) |
(/ (- 1/2 (* 1/3 (/ 1 N))) N) |
(/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N) |
(/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N) |
(/ 1/2 N) |
(* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) |
(/ 1/4 (pow N 2)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 2)) |
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 2)) |
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 2)) |
1/2 |
(- 1/2 (* 1/3 (/ 1 N))) |
(- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) |
(- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) |
1/2 |
(- 1/2 (* 1/3 (/ 1 N))) |
(+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) |
(+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) 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 (* -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)) |
(+ (log -1) (* -1 (log N))) |
(+ (log -1) (+ (* -1 (log N)) (* -1 (pow N 2)))) |
(+ (log -1) (+ (* -1 (log N)) (* (pow N 2) (- (* -1/2 (pow N 2)) 1)))) |
(+ (log -1) (+ (* -1 (log N)) (* (pow N 2) (- (* (pow N 2) (- (* -1/3 (pow N 2)) 1/2)) 1)))) |
(* -1 (log (/ 1 N))) |
(- (* -1 (log (/ 1 N))) (/ 1 (pow N 2))) |
(+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow N 2)))) (pow N 2)))) |
(- (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow N 2)))) (pow N 4)))) (/ 1 (pow N 2))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(- (+ (log -1) (* -1 (log (/ -1 N)))) (/ 1 (pow N 2))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow N 2)))) (pow N 2))))) |
(- (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow N 2)))) (pow N 4))))) (/ 1 (pow N 2))) |
-1 |
(- (pow N 2) 1) |
(- (pow N 2) 1) |
(- (pow N 2) 1) |
(pow N 2) |
(* (pow N 2) (- 1 (/ 1 (pow N 2)))) |
(* (pow N 2) (- 1 (/ 1 (pow N 2)))) |
(* (pow N 2) (- 1 (/ 1 (pow N 2)))) |
(pow N 2) |
(* (pow N 2) (- 1 (/ 1 (pow N 2)))) |
(* (pow N 2) (- 1 (/ 1 (pow N 2)))) |
(* (pow N 2) (- 1 (/ 1 (pow N 2)))) |
(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 (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 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N) |
(/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* 1/2 (/ (- 1 (* -2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N))))))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N) |
(/ (- (+ 1 (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* 1/2 (/ (- 1 (* -2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N))))))))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/2 (/ (- 1 (* -2/3 (log (/ 1 N)))) (log (/ 1 N)))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N) |
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (log (/ -1 N))))) |
(* -1 (/ (+ -1 (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (/ (log -1) (log (/ -1 N))))) N)) |
(* -1 (/ (+ -1 (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* 1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (/ (log -1) (log (/ -1 N))))) N)) |
(* -1 (/ (+ -1 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* 1/6 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* 1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N))))))) N)) (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N))))) (+ (* 1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (/ (log -1) (log (/ -1 N))))) N)) |
(pow (log N) 2) |
(+ (* -1 (pow N 2)) (pow (log N) 2)) |
(+ (* (pow N 2) (- N 1)) (pow (log N) 2)) |
(+ (* (pow N 2) (- (* N (+ 1 (* -11/12 N))) 1)) (pow (log N) 2)) |
(* 2 (/ (log (/ 1 N)) N)) |
(/ (- (* -1 (/ (+ 1 (log (/ 1 N))) N)) (* -2 (log (/ 1 N)))) N) |
(/ (- (/ 1 (pow N 2)) (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N))))) N) |
(/ (- (+ (* -1 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (pow N 3))) (/ 1 (pow N 2))) (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N))))) N) |
(* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (/ 1 N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (/ 1 N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (* 11/12 (/ 1 N))) (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) |
(pow (log 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) |
(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)))) |
(* -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)) |
(- (* 2 (/ N (pow (log N) 2))) (/ 1 (log N))) |
(- (* N (+ (* -1 (* N (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))))) (* 2 (/ 1 (pow (log N) 2))))) (/ 1 (log N))) |
(- (* N (+ (* N (- (* N (- (* 1/3 (/ 1 (pow (log N) 2))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))) (log N))) (+ (* -1 (/ (- (* 1/3 (log N)) 1) (pow (log N) 3))) (* 2 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 4))))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))))) (* 2 (/ 1 (pow (log N) 2))))) (/ 1 (log N))) |
(/ 1 (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) |
(/ (+ (* -1 (/ (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) N)) (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) N) |
(/ (- (+ (* 1/3 (/ 1 (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* -2 (/ (log (/ 1 N)) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1 (/ (log (/ 1 N)) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1 (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 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))))) (+ (* 1/2 (/ (log (/ 1 N)) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (/ 1/2 (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ 1 (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (/ (log (/ 1 N)) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))))))))) N) |
(/ (- (+ (* 1/3 (/ 1 (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (/ 1 (* (pow N 3) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -2 (/ (log (/ 1 N)) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1 (/ (log (/ 1 N)) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1 (/ (* (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))) (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 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))))) (+ (* -2/3 (/ (log (/ 1 N)) (* (pow N 3) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1/3 (/ (log (/ 1 N)) (* (pow N 3) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* 1/2 (/ (log (/ 1 N)) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (/ 1/4 (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ 1/2 (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ 1 (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (/ (log (/ 1 N)) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (- (* 1/3 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* -1 (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* 1/2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (/ 1 (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))))))) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))))))))))))) N) |
(/ 1 (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (* N (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) (/ 1/2 (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* 1/2 (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (* N (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) (/ 1/3 (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* 1/2 (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* 1/2 (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (* -1 (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* 1/2 (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* 1/3 (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))))) (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (* -1 (/ (+ 1 (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N))))))) (* N (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) (/ 1/4 (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))))) (+ (* -1 (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* 1/2 (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* 1/3 (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))))) N)) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* 1/2 (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) |
(pow (log N) 2) |
(+ (* N (log N)) (pow (log N) 2)) |
(+ (* N (+ (log N) (* N (+ 1 (* -1/2 (log N)))))) (pow (log N) 2)) |
(+ (* N (+ (log N) (* N (+ 1 (+ (* -1/2 (log N)) (* N (- (* 1/3 (log N)) 1))))))) (pow (log N) 2)) |
(+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) |
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) |
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))))) |
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))))))) (/ 1 (pow N 3))) |
(+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) |
(+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) |
(+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (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))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) |
(pow N 2) |
(* (pow N 2) (+ 1 (* -1 N))) |
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1)))) |
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1)))) |
(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)) |
(/ 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 N) |
(/ (- (pow N 2) 1) N) |
(/ (- (pow N 2) 1) N) |
(/ (- (pow N 2) 1) N) |
N |
(* N (- 1 (/ 1 (pow N 2)))) |
(* N (- 1 (/ 1 (pow N 2)))) |
(* N (- 1 (/ 1 (pow N 2)))) |
N |
(* -1 (* N (- (/ 1 (pow N 2)) 1))) |
(* -1 (* N (- (/ 1 (pow N 2)) 1))) |
(* -1 (* N (- (/ 1 (pow N 2)) 1))) |
(* -1 (log N)) |
(+ N (* -1 (log N))) |
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(/ 1 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)) |
| 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 (+.f64 (*.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 (+.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N #s(literal -1/2 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 (+.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 N #s(literal -1/2 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)) (-.f64 #s(literal 0 binary64) 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)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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 (+.f64 (*.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 (+.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/.f64 (+.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 N #s(literal -1/2 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))) |
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(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
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(+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))))) |
(+.f64 (*.f64 (neg.f64 (/.f64 (log.f64 N) N)) #s(literal -3 binary64)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 N)) (*.f64 N N)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) (*.f64 N N))) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) |
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))))))) (/ 1 (pow N 3))) |
(+.f64 (+.f64 (*.f64 (neg.f64 (/.f64 (log.f64 N) N)) #s(literal -3 binary64)) (+.f64 (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) (*.f64 N (*.f64 N N))) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 N)) (*.f64 N N)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) (*.f64 N N))) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))) (/.f64 #s(literal -1 binary64) (*.f64 N (*.f64 N N)))) |
(+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))))) |
(+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) |
(+.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 #s(literal -2 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))) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) N))) |
(+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) |
(+.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (/.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3/2 binary64))) N)) (-.f64 #s(literal 0 binary64) N))) |
(+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (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))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) |
(+.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (/.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3 binary64)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (-.f64 #s(literal 0 binary64) N))) N)) (-.f64 #s(literal 0 binary64) N))) |
(pow N 2) |
(*.f64 N N) |
(* (pow N 2) (+ 1 (* -1 N))) |
(*.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)) |
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1)))) |
(*.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (*.f64 N #s(literal 11/12 binary64)) #s(literal -1 binary64))))) |
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1)))) |
(*.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (*.f64 N (+.f64 #s(literal 11/12 binary64) (*.f64 N #s(literal -5/6 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 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) (*.f64 N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.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 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) (*.f64 N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (-.f64 (/.f64 (*.f64 (log.f64 N) #s(literal 2/3 binary64)) (*.f64 N (*.f64 N N))) (/.f64 #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)) |
(+.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N)) |
(+ (* -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 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N)) N)) |
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64))) N)) N)) N)) |
(/ 1/4 (pow N 2)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 N N)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 2)) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) (*.f64 N N)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 2)) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) (*.f64 N N)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 2)) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 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)) (-.f64 #s(literal 0 binary64) N)) |
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (-.f64 #s(literal 0 binary64) N)) |
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (-.f64 #s(literal 0 binary64) N)) |
(/ 1/4 N) |
(/.f64 #s(literal 1/4 binary64) N) |
(/ (+ 1/4 (* -1/3 N)) N) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) N) |
(/ (+ 1/4 (* -1/3 N)) N) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) N) |
(/ (+ 1/4 (* -1/3 N)) N) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 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 N) |
(/.f64 #s(literal -1 binary64) N) |
(/ (- (pow N 2) 1) N) |
(/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) |
(/ (- (pow N 2) 1) N) |
(/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) |
(/ (- (pow N 2) 1) N) |
(/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) |
N |
(* N (- 1 (/ 1 (pow N 2)))) |
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 N N)))) |
(* N (- 1 (/ 1 (pow N 2)))) |
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 N N)))) |
(* N (- 1 (/ 1 (pow N 2)))) |
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 N N)))) |
N |
(* -1 (* N (- (/ 1 (pow N 2)) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64))) |
(* -1 (* N (- (/ 1 (pow N 2)) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64))) |
(* -1 (* N (- (/ 1 (pow N 2)) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64))) |
(* -1 (log N)) |
(log.f64 (/.f64 #s(literal 1 binary64) N)) |
(+ N (* -1 (log N))) |
(-.f64 N (log.f64 N)) |
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))) |
(-.f64 (*.f64 N (+.f64 (*.f64 N #s(literal -1/2 binary64)) #s(literal 1 binary64))) (log.f64 N)) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (*.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 (/.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)) (-.f64 #s(literal 0 binary64) 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)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)) |
Compiled 36224 to 2993 computations (91.7% saved)
49 alts after pruning (44 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1065 | 33 | 1098 |
| Fresh | 9 | 11 | 20 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1075 | 49 | 1124 |
| Status | Accuracy | Program |
|---|---|---|
| 27.7% | (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) | |
| 27.9% | (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))) | |
| 27.8% | (fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))))) | |
| ▶ | 25.9% | (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) |
| 28.1% | (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 N)) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64))))) | |
| 27.8% | (/.f64 (fma.f64 (log.f64 N) (log.f64 N) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64))))) | |
| 26.1% | (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64))))) | |
| ▶ | 95.1% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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) |
| 95.0% | (/.f64 (/.f64 (+.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))) N) | |
| 95.1% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 binary64) (*.f64 (/.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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))))) N) | |
| 26.0% | (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) | |
| 25.8% | (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))))) | |
| 27.6% | (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64))))) | |
| 26.0% | (/.f64 (-.f64 (pow.f64 (exp.f64 (log.f64 (log.f64 N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64))))) | |
| 26.1% | (/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))) | |
| 94.2% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 (*.f64 (/.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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (*.f64 N (*.f64 N N)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))))) | |
| 26.1% | (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))) | |
| 25.9% | (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) | |
| 95.0% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))) | |
| 94.9% | (/.f64 (-.f64 N (*.f64 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 N N)) | |
| 95.1% | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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)))) | |
| 93.7% | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N)) N) | |
| ✓ | 95.2% | (/.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) |
| ▶ | 90.7% | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
| 93.7% | (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N) | |
| 95.1% | (/.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) | |
| 26.1% | (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (log.f64 N) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))) | |
| 95.1% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (/.f64 #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)))) N) | |
| 95.0% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))))) | |
| 29.1% | (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) | |
| 29.1% | (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))) | |
| 29.6% | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))) | |
| ▶ | 95.2% | (/.f64 #s(literal 1 binary64) (/.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)))) |
| ✓ | 82.6% | (/.f64 #s(literal 1 binary64) N) |
| 95.1% | (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))) | |
| ✓ | 26.1% | (-.f64 (log1p.f64 N) (log.f64 N)) |
| ✓ | 25.8% | (-.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64)))) |
| ▶ | 29.6% | (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) |
| 29.6% | (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (/.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))) | |
| 29.1% | (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))))) | |
| ✓ | 29.1% | (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))))) |
| 26.0% | (*.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))))) | |
| 29.1% | (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))) | |
| 29.6% | (neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) | |
| 29.2% | (neg.f64 (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)))) | |
| 29.6% | (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) | |
| 29.1% | (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) | |
| 27.7% | (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))) #s(literal -1 binary64))) | |
| 29.1% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64))) |
Compiled 3085 to 1396 computations (54.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) |
| ✓ | cost-diff | 0 | (log1p.f64 N) |
| ✓ | cost-diff | 6400 | (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 N (+.f64 #s(literal 1 binary64) N)) |
| ✓ | cost-diff | 0 | (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) |
| ✓ | cost-diff | 13568 | (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) |
| ✓ | cost-diff | 0 | (*.f64 (/.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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (/.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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))))) |
| ✓ | cost-diff | 256 | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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) |
| ✓ | 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 | (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) |
| ✓ | cost-diff | 0 | (-.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)) |
| ✓ | cost-diff | 0 | (/.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))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.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)))) |
| 3538× | *-lowering-*.f32 |
| 3538× | *-lowering-*.f64 |
| 1774× | /-lowering-/.f32 |
| 1774× | /-lowering-/.f64 |
| 972× | +-lowering-+.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 597 |
| 1 | 130 | 515 |
| 2 | 320 | 470 |
| 3 | 1186 | 456 |
| 4 | 4730 | 453 |
| 0 | 8163 | 453 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ N (- 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)))) |
1 |
(/ N (- 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))) |
N |
(- 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)) |
(/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) |
(+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) |
1/2 |
(/ (+ -1/3 (/ 1/4 N)) N) |
(+ -1/3 (/ 1/4 N)) |
-1/3 |
(/ 1/4 N) |
1/4 |
(/ (- 1 (/ 1/2 N)) N) |
(- 1 (/ 1/2 N)) |
1 |
(/ 1/2 N) |
1/2 |
N |
(/ (/ (- 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))))) (+ 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))))) N) |
(/ (- 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))))) (+ 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))))) |
(- 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))))) |
1 |
(* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N))))) |
(/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) |
(+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) |
1/2 |
(/ (+ -1/3 (/ 1/4 N)) N) |
(+ -1/3 (/ 1/4 N)) |
-1/3 |
(/ 1/4 N) |
1/4 |
N |
(/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))) |
(/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N))) |
(+ 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)))) |
(* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))) |
(+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)) |
(* (/ -1 (log (* N (+ 1 N)))) (* (log (* N (+ 1 N))) (log (/ N (+ 1 N))))) |
(/ -1 (log (* N (+ 1 N)))) |
-1 |
(log (* N (+ 1 N))) |
(* N (+ 1 N)) |
N |
(+ 1 N) |
1 |
(* (log (* N (+ 1 N))) (log (/ N (+ 1 N)))) |
(log (/ N (+ 1 N))) |
(/ N (+ 1 N)) |
(+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ N 1))))) (neg (/ (pow (log N) 2) (log (* N (+ N 1)))))) |
(log (+ 1 N)) |
N |
(/ (log (+ 1 N)) (log (* N (+ N 1)))) |
(log (* N (+ N 1))) |
(* N (+ N 1)) |
(+ N 1) |
1 |
(neg (/ (pow (log N) 2) (log (* N (+ N 1))))) |
(/ (pow (log N) 2) (log (* N (+ N 1)))) |
(pow (log N) 2) |
(log N) |
2 |
| Outputs |
|---|
(/ 1 (/ N (- 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 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)) N) |
1 |
#s(literal 1 binary64) |
(/ N (- 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) 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 |
(- 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 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)) |
(/ (+ 1/2 (/ (+ -1/3 (/ 1/4 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)) N) |
(+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) |
1/2 |
#s(literal 1/2 binary64) |
(/ (+ -1/3 (/ 1/4 N)) N) |
(/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) |
(+ -1/3 (/ 1/4 N)) |
(+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) |
-1/3 |
#s(literal -1/3 binary64) |
(/ 1/4 N) |
(/.f64 #s(literal 1/4 binary64) N) |
1/4 |
#s(literal 1/4 binary64) |
(/ (- 1 (/ 1/2 N)) N) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) |
(- 1 (/ 1/2 N)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) |
1 |
#s(literal 1 binary64) |
(/ 1/2 N) |
(/.f64 #s(literal 1/2 binary64) N) |
1/2 |
#s(literal 1/2 binary64) |
N |
(/ (/ (- 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))))) (+ 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 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)) (/.f64 (/.f64 (*.f64 N (*.f64 N N)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (+.f64 N (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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))))) |
(/ (- 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))))) (+ 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 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)) (/.f64 (/.f64 (*.f64 N (*.f64 N N)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 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)) (/.f64 (/.f64 (*.f64 N (*.f64 N N)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) |
1 |
#s(literal 1 binary64) |
(* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N))))) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (/.f64 (/.f64 (*.f64 N (*.f64 N N)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) |
(/ (+ 1/2 (/ (+ -1/3 (/ 1/4 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)) N) |
(+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) |
1/2 |
#s(literal 1/2 binary64) |
(/ (+ -1/3 (/ 1/4 N)) N) |
(/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) |
(+ -1/3 (/ 1/4 N)) |
(+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) |
-1/3 |
#s(literal -1/3 binary64) |
(/ 1/4 N) |
(/.f64 #s(literal 1/4 binary64) N) |
1/4 |
#s(literal 1/4 binary64) |
N |
(/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (/.f64 (*.f64 N N) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) |
(/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N))) |
(/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) |
(+ 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.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 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)))) |
(* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))) |
(*.f64 (/.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 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 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 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 (+ 1 N)))) (* (log (* N (+ 1 N))) (log (/ N (+ 1 N))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) |
(/ -1 (log (* N (+ 1 N)))) |
(/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) |
-1 |
#s(literal -1 binary64) |
(log (* N (+ 1 N))) |
(log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) |
(* N (+ 1 N)) |
(*.f64 N (+.f64 #s(literal 1 binary64) N)) |
N |
(+ 1 N) |
(+.f64 #s(literal 1 binary64) N) |
1 |
#s(literal 1 binary64) |
(* (log (* N (+ 1 N))) (log (/ N (+ 1 N)))) |
(*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) |
(log (/ N (+ 1 N))) |
(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) |
(/ N (+ 1 N)) |
(/.f64 N (+.f64 #s(literal 1 binary64) N)) |
(+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ N 1))))) (neg (/ (pow (log N) 2) (log (* N (+ N 1)))))) |
(-.f64 (/.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(log (+ 1 N)) |
(log1p.f64 N) |
N |
(/ (log (+ 1 N)) (log (* N (+ N 1)))) |
(/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) |
(log (* N (+ N 1))) |
(log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) |
(* N (+ N 1)) |
(*.f64 N (+.f64 #s(literal 1 binary64) N)) |
(+ N 1) |
(+.f64 #s(literal 1 binary64) N) |
1 |
#s(literal 1 binary64) |
(neg (/ (pow (log N) 2) (log (* N (+ N 1))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) |
(/ (pow (log N) 2) (log (* N (+ N 1)))) |
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) |
(pow (log N) 2) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(log N) |
(log.f64 N) |
2 |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) |
| ✓ | accuracy | 99.9% | (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) |
| ✓ | accuracy | 99.9% | (pow.f64 (log.f64 N) #s(literal 2 binary64)) |
| ✓ | accuracy | 98.7% | (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) |
| ✓ | accuracy | 100.0% | (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) |
| ✓ | accuracy | 99.9% | (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) |
| ✓ | accuracy | 99.1% | (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) |
| ✓ | accuracy | 99.9% | (*.f64 (/.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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) |
| ✓ | accuracy | 99.9% | (*.f64 (/.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 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))))) |
| ✓ | 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 | 100.0% | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
| ✓ | accuracy | 100.0% | (/.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))) |
| ✓ | accuracy | 99.9% | (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (/.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)))) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) |
| 773.0ms | 223× | 5 | exit |
| 34.0ms | 33× | 0 | valid |
Compiled 600 to 46 computations (92.3% saved)
backward-pass: 152.0ms (41.6% of total)ival-div: 61.0ms (16.7% of total)ival-log: 43.0ms (11.8% of total)ival-mult: 29.0ms (7.9% of total)compiled-spec: 25.0ms (6.8% of total)ival-add: 24.0ms (6.6% of total)...c/correct-round.rkt:119:19: 10.0ms (2.7% of total)ival-sub: 9.0ms (2.5% of total)ival-pow: 5.0ms (1.4% of total)const: 3.0ms (0.8% of total)ival-neg: 3.0ms (0.8% of total)| Inputs |
|---|
#<alt (/ 1 (/ N (- 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))))> |
#<alt (/ N (- 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)))> |
#<alt (- 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))> |
#<alt (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)> |
#<alt (/ (- 1 (/ 1/2 N)) N)> |
#<alt (- 1 (/ 1/2 N))> |
#<alt (/ 1/2 N)> |
#<alt (/ (/ (- 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))))) (+ 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))))) N)> |
#<alt (/ (- 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))))) (+ 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)))))> |
#<alt (- 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N))))))> |
#<alt (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))))> |
#<alt (* (/ -1 (log (* N (+ 1 N)))) (* (log (* N (+ 1 N))) (log (/ N (+ 1 N)))))> |
#<alt (/ -1 (log (* N (+ 1 N))))> |
#<alt (log (* N (+ 1 N)))> |
#<alt (* N (+ 1 N))> |
#<alt (+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ N 1))))) (neg (/ (pow (log N) 2) (log (* N (+ N 1))))))> |
#<alt (log (+ 1 N))> |
#<alt (/ (log (+ 1 N)) (log (* N (+ N 1))))> |
#<alt (log (* N (+ N 1)))> |
#<alt (/ (+ -1/3 (/ 1/4 N)) N)> |
#<alt (+ -1/3 (/ 1/4 N))> |
#<alt (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)))> |
#<alt (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N))))> |
#<alt (log (/ N (+ 1 N)))> |
#<alt (* (log (* N (+ 1 N))) (log (/ N (+ 1 N))))> |
#<alt (pow (log N) 2)> |
#<alt (/ (pow (log N) 2) (log (* N (+ N 1))))> |
| 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 (* -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 (/ 1/4 (pow N 3))> |
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 3))> |
#<alt (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))> |
#<alt (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))> |
#<alt (/ 1/2 N)> |
#<alt (/ (- 1/2 (* 1/3 (/ 1 N))) N)> |
#<alt (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)> |
#<alt (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)> |
#<alt (/ 1/2 N)> |
#<alt (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) 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 (/ -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 (/ -1/64 (pow N 9))> |
#<alt (/ (- (* 1/16 N) 1/64) (pow N 9))> |
#<alt (/ (- (* N (+ 1/16 (* -17/96 N))) 1/64) (pow N 9))> |
#<alt (/ (- (* N (+ 1/16 (* N (- (* 31/108 N) 17/96)))) 1/64) (pow N 9))> |
#<alt 1> |
#<alt (- 1 (* 1/8 (/ 1 (pow N 3))))> |
#<alt (- (+ 1 (/ 1/4 (pow N 4))) (* 1/8 (/ 1 (pow N 3))))> |
#<alt (- (+ 1 (/ 1/4 (pow N 4))) (+ (* 1/8 (/ 1 (pow N 3))) (* 17/48 (/ 1 (pow N 5)))))> |
#<alt 1> |
#<alt (- 1 (* 1/8 (/ 1 (pow N 3))))> |
#<alt (+ 1 (* -1 (/ (- 1/8 (* 1/4 (/ 1 N))) (pow N 3))))> |
#<alt (+ 1 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/4 (* 17/48 (/ 1 N))) N))) (pow N 3))))> |
#<alt (/ 1/64 (pow N 9))> |
#<alt (/ (+ 1/64 (* -1/16 N)) (pow N 9))> |
#<alt (/ (+ 1/64 (* N (- (* 17/96 N) 1/16))) (pow N 9))> |
#<alt (/ (+ 1/64 (* N (- (* N (+ 17/96 (* -31/108 N))) 1/16))) (pow N 9))> |
#<alt (/ 1/8 (pow N 3))> |
#<alt (/ (- 1/8 (* 1/4 (/ 1 N))) (pow N 3))> |
#<alt (/ (- (+ 1/8 (/ 17/48 (pow N 2))) (* 1/4 (/ 1 N))) (pow N 3))> |
#<alt (/ (- (+ 1/8 (/ 17/48 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 31/108 (/ 1 (pow N 3))))) (pow N 3))> |
#<alt (/ 1/8 (pow N 3))> |
#<alt (* -1 (/ (- (* 1/4 (/ 1 N)) 1/8) (pow N 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 17/48 (/ 1 N)) 1/4) N)) 1/8) (pow N 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 31/108 (/ 1 N)) 17/48) N)) 1/4) N)) 1/8) (pow N 3)))> |
#<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 (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 N> |
#<alt (* N (+ 1 N))> |
#<alt (* N (+ 1 N))> |
#<alt (* N (+ 1 N))> |
#<alt (pow N 2)> |
#<alt (* (pow N 2) (+ 1 (/ 1 N)))> |
#<alt (* (pow N 2) (+ 1 (/ 1 N)))> |
#<alt (* (pow N 2) (+ 1 (/ 1 N)))> |
#<alt (pow N 2)> |
#<alt (* (pow N 2) (+ 1 (/ 1 N)))> |
#<alt (* (pow N 2) (+ 1 (/ 1 N)))> |
#<alt (* (pow N 2) (+ 1 (/ 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 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N)> |
#<alt (/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N)> |
#<alt (/ (- (+ 1 (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/16 (/ 1 (log (/ 1 N)))) (+ 1/12 (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N)))))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ 1 N)))) (+ 1/12 (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N))))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)> |
#<alt (* -1 (/ (- (/ (log -1) (log (/ -1 N))) 1) N))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))) N)) (/ (log -1) (log (/ -1 N)))) 1) N))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (+ (* 1/4 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))) N)) (/ (log -1) (log (/ -1 N)))) 1) N))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (log (/ -1 N)))) (+ (* -1/4 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/24 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))))) (+ (* 1/6 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (+ (* 1/4 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N))))))) (log (/ -1 N))))))) N)) (+ (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))))) (+ (* 1/4 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))) N)) (/ (log -1) (log (/ -1 N)))) 1) N))> |
#<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 (/ N (log N))> |
#<alt (* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))> |
#<alt (* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (* 1/2 (/ 1 (pow (log N) 2)))) (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))> |
#<alt (* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* N (- (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/4 (/ 1 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))) (* 2/3 (/ 1 (pow (log N) 2)))))))))) (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))> |
#<alt 1/2> |
#<alt (- 1/2 (* 1/4 (/ 1 (* N (log (/ 1 N))))))> |
#<alt (- (+ 1/2 (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))))> |
#<alt (- (+ 1/2 (+ (/ 1/16 (* (pow N 3) (pow (log (/ 1 N)) 2))) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (+ (* 1/8 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))))))> |
#<alt (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N))))> |
#<alt (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N)))))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N)))))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ 1 (log (/ -1 N)))) (+ (* -1/12 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N))))))) N)) (* 1/4 (/ 1 (log (/ -1 N))))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 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 (/ 1/4 (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 (/ 1/16 (pow N 6))> |
#<alt (/ (+ 1/16 (* -1/6 N)) (pow N 6))> |
#<alt (/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 6))> |
#<alt (/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/12 N))) 1/6))) (pow N 6))> |
#<alt (/ 1/2 N)> |
#<alt (/ (- 1/2 (* 1/12 (/ 1 N))) N)> |
#<alt (/ (+ 1/2 (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) N))) N)> |
#<alt (/ (- (+ 1/2 (* 13/36 (/ 1 (pow N 3)))) (+ (/ 1/12 (pow N 2)) (* 1/12 (/ 1 N)))) N)> |
#<alt (/ 1/2 N)> |
#<alt (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))> |
#<alt (* -1 (/ (- (+ (/ 1/12 (pow N 2)) (* 1/12 (/ 1 N))) 1/2) N))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1/12 (* 13/36 (/ 1 N))) N)) 1/12) N)) 1/2) N))> |
#<alt (/ 1/16 (pow N 6))> |
#<alt (/ (+ 1/16 (* -1/6 N)) (pow N 6))> |
#<alt (/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 6))> |
#<alt (/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/3 N))) 1/6))) (pow N 6))> |
#<alt (/ 1/4 (pow N 2))> |
#<alt (/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 2))> |
#<alt (/ (- (+ 1/4 (/ 13/36 (pow N 2))) (* 1/3 (/ 1 N))) (pow N 2))> |
#<alt (/ (- (+ 1/4 (/ 13/36 (pow N 2))) (+ (* 1/3 (/ 1 N)) (* 1/6 (/ 1 (pow N 3))))) (pow N 2))> |
#<alt (/ 1/4 (pow N 2))> |
#<alt (/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 2))> |
#<alt (/ (+ 1/4 (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) N))) (pow N 2))> |
#<alt (/ (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 13/36 (* 1/6 (/ 1 N))) N))) N))) (pow N 2))> |
#<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 (+ (* 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 (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)> |
#<alt (log N)> |
#<alt (+ (log N) (* -1 N))> |
#<alt (+ (log N) (* N (- (* N (+ 1/2 (/ 1 (log N)))) 1)))> |
#<alt (+ (log N) (* N (- (* N (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) 1)))> |
#<alt (* -1/2 (log (/ 1 N)))> |
#<alt (- (* -1/2 (log (/ 1 N))) (* 1/4 (/ 1 N)))> |
#<alt (- (+ (* -1/2 (log (/ 1 N))) (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))> |
#<alt (- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3)))))))> |
#<alt (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))> |
#<alt (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))))> |
#<alt (+ (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3))))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* N (log (/ -1 N))))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3)))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))> |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | N | @ | 0 | (- 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))))) |
| 4.0ms | N | @ | -inf | (+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ N 1))))) (neg (/ (pow (log N) 2) (log (* N (+ N 1)))))) |
| 3.0ms | N | @ | inf | (+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ N 1))))) (neg (/ (pow (log N) 2) (log (* N (+ N 1)))))) |
| 2.0ms | N | @ | 0 | (log (/ N (+ 1 N))) |
| 1.0ms | N | @ | -inf | (/ (log (+ 1 N)) (log (* N (+ N 1)))) |
| 1× | batch-egg-rewrite |
| 4386× | /-lowering-/.f32 |
| 4386× | /-lowering-/.f64 |
| 2744× | *-lowering-*.f32 |
| 2744× | *-lowering-*.f64 |
| 1952× | pow-lowering-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 334 |
| 1 | 329 | 263 |
| 2 | 3131 | 244 |
| 0 | 9358 | 244 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ N (- 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)))) |
(/ N (- 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))) |
(- 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)) |
(/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) |
(/ (- 1 (/ 1/2 N)) N) |
(- 1 (/ 1/2 N)) |
(/ 1/2 N) |
(/ (/ (- 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))))) (+ 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))))) N) |
(/ (- 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))))) (+ 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))))) |
(- 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))))) |
(* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N))))) |
(* (/ -1 (log (* N (+ 1 N)))) (* (log (* N (+ 1 N))) (log (/ N (+ 1 N))))) |
(/ -1 (log (* N (+ 1 N)))) |
(log (* N (+ 1 N))) |
(* N (+ 1 N)) |
(+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ N 1))))) (neg (/ (pow (log N) 2) (log (* N (+ N 1)))))) |
(log (+ 1 N)) |
(/ (log (+ 1 N)) (log (* N (+ N 1)))) |
(log (* N (+ N 1))) |
(/ (+ -1/3 (/ 1/4 N)) N) |
(+ -1/3 (/ 1/4 N)) |
(* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))) |
(/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))) |
(log (/ N (+ 1 N))) |
(* (log (* N (+ 1 N))) (log (/ N (+ 1 N)))) |
(pow (log N) 2) |
(/ (pow (log N) 2) (log (* N (+ N 1)))) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 0 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 binary64) N) (*.f64 (-.f64 #s(literal 0 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 binary64) N))) |
(exp.f64 (*.f64 (log.f64 (/.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)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 N (*.f64 N N))) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 N (*.f64 N N))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 (-.f64 #s(literal 0 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 binary64) N))) |
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 0 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 (/.f64 #s(literal 1 binary64) (/.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))))) |
(neg.f64 (/.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 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 N (*.f64 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) |
(/.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 (-.f64 #s(literal 0 binary64) N))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 N (*.f64 N N)))) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 binary64) (/.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)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 N (*.f64 N N))))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 N (*.f64 N N)))) (neg.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 N (*.f64 N N)))) (*.f64 N (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 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 0 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)) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) 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 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 N (*.f64 N N))) (/.f64 (*.f64 N (*.f64 N N)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (/.f64 (*.f64 N (*.f64 N N)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))))) (*.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 N (*.f64 N N))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 N (*.f64 N N)))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.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 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 N (*.f64 N N))) (/.f64 (*.f64 N (*.f64 N N)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))))) (*.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 N (*.f64 N N)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 N (*.f64 N N)))) #s(literal 1 binary64)) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 N (*.f64 N N)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 N (*.f64 N N))))) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 (/.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 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)))))) |
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(*.f64 (/.f64 N #s(literal 1 binary64)) (/.f64 #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)))) |
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(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 N (*.f64 N N))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)))))) |
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(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (neg.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) |
(fma.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) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.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)) (*.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)) (+.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 N (*.f64 N N)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.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 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 (/.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 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))) #s(literal 1 binary64)))) (neg.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 N (*.f64 N N))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))))))) |
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(neg.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))) |
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(/.f64 #s(literal 1 binary64) (/.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)) (-.f64 #s(literal 1 binary64) (*.f64 (/.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 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #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))) #s(literal 1 binary64))) |
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(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (neg.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) |
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(pow.f64 (/.f64 (/.f64 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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 N (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 (/.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 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)))) #s(literal -1 binary64)) |
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(pow.f64 (exp.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))) #s(literal 3 binary64)) |
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(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (/.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 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)))) |
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(*.f64 (/.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 (+.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 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))) |
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(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 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (log1p.f64 N) (-.f64 #s(literal 0 binary64) (log1p.f64 N)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 N)) (log1p.f64 N))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(/.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 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) |
(+.f64 (*.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)) (*.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log1p.f64 N))) |
(+.f64 (*.f64 (log.f64 N) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log1p.f64 N) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(fma.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N) (*.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log1p.f64 N))) |
(fma.f64 (log.f64 N) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (*.f64 (log1p.f64 N) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) |
(*.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (*.f64 N (+.f64 #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)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) |
(/.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(pow.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(*.f64 (log.f64 N) (*.f64 (log.f64 N) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) |
(*.f64 (log.f64 N) (/.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 4668× | +-lowering-+.f64 |
| 4668× | +-lowering-+.f32 |
| 3316× | *-lowering-*.f32 |
| 3316× | *-lowering-*.f64 |
| 1824× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 902 | 5556 |
| 1 | 3082 | 4989 |
| 0 | 8221 | 4989 |
| 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)) |
(* -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))) |
(/ 1/4 (pow N 3)) |
(/ (+ 1/4 (* -1/3 N)) (pow N 3)) |
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3)) |
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3)) |
(/ 1/2 N) |
(/ (- 1/2 (* 1/3 (/ 1 N))) N) |
(/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N) |
(/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N) |
(/ 1/2 N) |
(* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) 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) |
(/ -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))) |
(/ -1/64 (pow N 9)) |
(/ (- (* 1/16 N) 1/64) (pow N 9)) |
(/ (- (* N (+ 1/16 (* -17/96 N))) 1/64) (pow N 9)) |
(/ (- (* N (+ 1/16 (* N (- (* 31/108 N) 17/96)))) 1/64) (pow N 9)) |
1 |
(- 1 (* 1/8 (/ 1 (pow N 3)))) |
(- (+ 1 (/ 1/4 (pow N 4))) (* 1/8 (/ 1 (pow N 3)))) |
(- (+ 1 (/ 1/4 (pow N 4))) (+ (* 1/8 (/ 1 (pow N 3))) (* 17/48 (/ 1 (pow N 5))))) |
1 |
(- 1 (* 1/8 (/ 1 (pow N 3)))) |
(+ 1 (* -1 (/ (- 1/8 (* 1/4 (/ 1 N))) (pow N 3)))) |
(+ 1 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/4 (* 17/48 (/ 1 N))) N))) (pow N 3)))) |
(/ 1/64 (pow N 9)) |
(/ (+ 1/64 (* -1/16 N)) (pow N 9)) |
(/ (+ 1/64 (* N (- (* 17/96 N) 1/16))) (pow N 9)) |
(/ (+ 1/64 (* N (- (* N (+ 17/96 (* -31/108 N))) 1/16))) (pow N 9)) |
(/ 1/8 (pow N 3)) |
(/ (- 1/8 (* 1/4 (/ 1 N))) (pow N 3)) |
(/ (- (+ 1/8 (/ 17/48 (pow N 2))) (* 1/4 (/ 1 N))) (pow N 3)) |
(/ (- (+ 1/8 (/ 17/48 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 31/108 (/ 1 (pow N 3))))) (pow N 3)) |
(/ 1/8 (pow N 3)) |
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/8) (pow N 3))) |
(* -1 (/ (- (* -1 (/ (- (* 17/48 (/ 1 N)) 1/4) N)) 1/8) (pow N 3))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 31/108 (/ 1 N)) 17/48) N)) 1/4) N)) 1/8) (pow N 3))) |
(* -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))))) |
(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))) |
N |
(* N (+ 1 N)) |
(* N (+ 1 N)) |
(* N (+ 1 N)) |
(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 (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 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N) |
(/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N) |
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(* -1 (/ (- (/ (log -1) (log (/ -1 N))) 1) N)) |
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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)))) |
(/ N (log N)) |
(* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))) |
(* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (* 1/2 (/ 1 (pow (log N) 2)))) (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))) |
(* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* N (- (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/4 (/ 1 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))) (* 2/3 (/ 1 (pow (log N) 2)))))))))) (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))) |
1/2 |
(- 1/2 (* 1/4 (/ 1 (* N (log (/ 1 N)))))) |
(- (+ 1/2 (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))))) |
(- (+ 1/2 (+ (/ 1/16 (* (pow N 3) (pow (log (/ 1 N)) 2))) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (+ (* 1/8 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))))))) |
(* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N)))) |
(+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ 1 (log (/ -1 N)))) (+ (* -1/12 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N))))))) N)) (* 1/4 (/ 1 (log (/ -1 N))))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 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))) |
(/ 1/4 (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) |
(/ 1/16 (pow N 6)) |
(/ (+ 1/16 (* -1/6 N)) (pow N 6)) |
(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 6)) |
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/12 N))) 1/6))) (pow N 6)) |
(/ 1/2 N) |
(/ (- 1/2 (* 1/12 (/ 1 N))) N) |
(/ (+ 1/2 (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) N))) N) |
(/ (- (+ 1/2 (* 13/36 (/ 1 (pow N 3)))) (+ (/ 1/12 (pow N 2)) (* 1/12 (/ 1 N)))) N) |
(/ 1/2 N) |
(* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N)) |
(* -1 (/ (- (+ (/ 1/12 (pow N 2)) (* 1/12 (/ 1 N))) 1/2) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1/12 (* 13/36 (/ 1 N))) N)) 1/12) N)) 1/2) N)) |
(/ 1/16 (pow N 6)) |
(/ (+ 1/16 (* -1/6 N)) (pow N 6)) |
(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 6)) |
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/3 N))) 1/6))) (pow N 6)) |
(/ 1/4 (pow N 2)) |
(/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 2)) |
(/ (- (+ 1/4 (/ 13/36 (pow N 2))) (* 1/3 (/ 1 N))) (pow N 2)) |
(/ (- (+ 1/4 (/ 13/36 (pow N 2))) (+ (* 1/3 (/ 1 N)) (* 1/6 (/ 1 (pow N 3))))) (pow N 2)) |
(/ 1/4 (pow N 2)) |
(/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 2)) |
(/ (+ 1/4 (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) N))) (pow N 2)) |
(/ (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 13/36 (* 1/6 (/ 1 N))) N))) N))) (pow N 2)) |
(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) |
(+ (* 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)) |
(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) |
(log N) |
(+ (log N) (* -1 N)) |
(+ (log N) (* N (- (* N (+ 1/2 (/ 1 (log N)))) 1))) |
(+ (log N) (* N (- (* N (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) 1))) |
(* -1/2 (log (/ 1 N))) |
(- (* -1/2 (log (/ 1 N))) (* 1/4 (/ 1 N))) |
(- (+ (* -1/2 (log (/ 1 N))) (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))) |
(- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3))))))) |
(* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) |
(+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2))))) |
(+ (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3))))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* N (log (/ -1 N))))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3)))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))) |
| 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 (+.f64 (*.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 (+.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N #s(literal -1/2 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 (+.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ 1 N) |
(/.f64 #s(literal 1 binary64) N) |
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(/.f64 (+.f64 (+.f64 (+.f64 (/.f64 (log.f64 N) N) (/.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N))) (*.f64 N N))) (+.f64 (neg.f64 (*.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (/.f64 #s(literal -1 binary64) 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) |
(/.f64 (-.f64 (+.f64 (+.f64 (neg.f64 (*.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 N))) (*.f64 N N)))) (+.f64 (/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 N))) (*.f64 N (*.f64 N N))) (/.f64 (log.f64 N) N))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 11/12 binary64) (*.f64 N (*.f64 N N))))) N) |
(* 2 (/ (log (/ -1 N)) N)) |
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) N) |
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (log (/ -1 N))) 1) N))) N)) |
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64)) N)) (-.f64 #s(literal 0 binary64) N)) |
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -2/3 (log (/ -1 N))) 1) N))) 1) N))) N)) |
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (/.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2/3 binary64)) #s(literal -1 binary64)) N)) #s(literal -1 binary64)) N)) (-.f64 #s(literal 0 binary64) 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)) |
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (/.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2/3 binary64)) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -11/12 binary64)) N)) #s(literal -1 binary64)) N)) #s(literal -1 binary64)) N)) (-.f64 #s(literal 0 binary64) 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)) |
(log N) |
(log.f64 N) |
(+ (log N) (* -1 N)) |
(-.f64 (log.f64 N) N) |
(+ (log N) (* N (- (* N (+ 1/2 (/ 1 (log N)))) 1))) |
(+.f64 (log.f64 N) (*.f64 N (+.f64 (*.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 N)))) #s(literal -1 binary64)))) |
(+ (log N) (* N (- (* N (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) 1))) |
(+.f64 (log.f64 N) (*.f64 N (+.f64 (*.f64 N (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (*.f64 N (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1/3 binary64))))))) #s(literal -1 binary64)))) |
(* -1/2 (log (/ 1 N))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 N))) |
(- (* -1/2 (log (/ 1 N))) (* 1/4 (/ 1 N))) |
(+.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 N))) (/.f64 #s(literal -1/4 binary64) N)) |
(- (+ (* -1/2 (log (/ 1 N))) (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))) |
(-.f64 (+.f64 (+.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 N))) (/.f64 #s(literal 1/8 binary64) (*.f64 N N))) (/.f64 #s(literal -1/4 binary64) N)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N N) (log.f64 (/.f64 #s(literal 1 binary64) N))))) |
(- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3))))))) |
(-.f64 (+.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 N))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 N N)) (/.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N (*.f64 N N))) (log.f64 (/.f64 #s(literal 1 binary64) N))))) (+.f64 (/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (log.f64 N)))) (*.f64 (*.f64 N (*.f64 N N)) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N N) (log.f64 (/.f64 #s(literal 1 binary64) N)))) (+.f64 (/.f64 #s(literal 1/4 binary64) N) (/.f64 #s(literal 1/12 binary64) (*.f64 N (*.f64 N N))))))) |
(* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) |
(/.f64 (*.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))) (log.f64 (/.f64 #s(literal -1 binary64) N))) |
(+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2))))) |
(+.f64 (/.f64 (*.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))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (*.f64 N (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))))) |
(+ (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3))))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))) |
(-.f64 (/.f64 (*.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))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (*.f64 N (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (*.f64 N (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))))) N)) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* N (log (/ -1 N))))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3)))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))) |
(-.f64 (/.f64 (*.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))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))))) (*.f64 N (log.f64 (/.f64 #s(literal -1 binary64) N)))) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (*.f64 N (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (*.f64 N (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) N)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))))) N)) |
Compiled 128047 to 8092 computations (93.7% saved)
62 alts after pruning (54 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2239 | 26 | 2265 |
| Fresh | 11 | 28 | 39 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 4 | 5 |
| Total | 2252 | 62 | 2314 |
| Status | Accuracy | Program |
|---|---|---|
| 27.7% | (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) | |
| 27.9% | (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) | |
| 27.9% | (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))) | |
| 27.8% | (fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))))) | |
| 26.6% | (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) | |
| ✓ | 25.9% | (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) |
| ▶ | 26.4% | (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) |
| 28.1% | (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 N)) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64))))) | |
| 27.8% | (/.f64 (fma.f64 (log.f64 N) (log.f64 N) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64))))) | |
| 26.1% | (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64))))) | |
| 95.2% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/8 binary64)) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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) | |
| 93.9% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.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 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) (*.f64 N (*.f64 N N))) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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) | |
| 95.0% | (/.f64 (/.f64 (+.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))) N) | |
| 26.0% | (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) | |
| 25.8% | (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))))) | |
| 27.6% | (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64))))) | |
| 26.0% | (/.f64 (-.f64 (pow.f64 (exp.f64 (log.f64 (log.f64 N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64))))) | |
| 26.1% | (/.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64)))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))))) | |
| ▶ | 89.9% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))))) |
| 26.1% | (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))) | |
| 25.9% | (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) | |
| 94.9% | (/.f64 (-.f64 N (*.f64 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 N N)) | |
| 93.7% | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) | |
| ✓ | 95.2% | (/.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) |
| ✓ | 90.7% | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
| 93.7% | (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N) | |
| ▶ | 90.5% | (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
| 26.1% | (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (log.f64 N) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))) | |
| 29.1% | (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) | |
| 29.1% | (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))) | |
| 29.6% | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))) | |
| 93.7% | (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))) | |
| ✓ | 95.2% | (/.f64 #s(literal 1 binary64) (/.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)))) |
| 95.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.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))) | |
| 95.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #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))) N)) | |
| ▶ | 95.6% | (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))) |
| 94.2% | (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N))))) | |
| 95.6% | (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.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)))))) | |
| 91.4% | (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) | |
| ✓ | 82.6% | (/.f64 #s(literal 1 binary64) N) |
| 95.1% | (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))) | |
| ✓ | 26.1% | (-.f64 (log1p.f64 N) (log.f64 N)) |
| ✓ | 25.8% | (-.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64)))) |
| 23.9% | (*.f64 (/.f64 #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 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) | |
| ▶ | 29.6% | (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) |
| 29.6% | (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N)) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) | |
| 29.6% | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) | |
| 24.1% | (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) | |
| 29.6% | (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (-.f64 (log.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N))) (log.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) | |
| 29.6% | (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (-.f64 (log.f64 (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) (*.f64 N (*.f64 N N)))) (log.f64 (+.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (*.f64 N N) (*.f64 N (*.f64 N N)))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) | |
| 29.6% | (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N)) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) | |
| 29.6% | (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) | |
| ✓ | 29.6% | (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) |
| 29.1% | (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))))) | |
| 26.0% | (*.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))))) | |
| 29.1% | (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))) | |
| 29.6% | (neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) | |
| 29.2% | (neg.f64 (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)))) | |
| 29.6% | (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) | |
| 29.1% | (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) | |
| 27.7% | (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))) #s(literal -1 binary64))) | |
| 29.1% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64))) |
Compiled 3278 to 1757 computations (46.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) |
| ✓ | cost-diff | 0 | (log1p.f64 N) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 6400 | (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) |
| ✓ | cost-diff | 0 | (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) |
| ✓ | cost-diff | 0 | (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) |
| ✓ | cost-diff | 256 | (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))) |
| ✓ | cost-diff | 0 | (*.f64 N N) |
| ✓ | 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 | (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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)) (-.f64 #s(literal 0 binary64) N)) |
| ✓ | cost-diff | 384 | (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)) |
| 2924× | *-lowering-*.f32 |
| 2924× | *-lowering-*.f64 |
| 1694× | sum3-define |
| 1530× | /-lowering-/.f32 |
| 1530× | /-lowering-/.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 451 |
| 1 | 184 | 421 |
| 2 | 409 | 407 |
| 3 | 1133 | 402 |
| 4 | 3790 | 395 |
| 0 | 8341 | 395 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N))) |
1 |
(* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N)) |
(+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) |
(/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) |
(- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) |
1/2 |
(/ (+ 1/12 (/ -1/24 N)) N) |
(+ 1/12 (/ -1/24 N)) |
1/12 |
(/ -1/24 N) |
-1/24 |
N |
(- 0 N) |
0 |
-1 |
(/ (+ N -1/2) (* N N)) |
(+ N -1/2) |
N |
-1/2 |
(* N N) |
(/ (- (/ 1 (* N (* N N))) (/ 1/8 (* (* N (* N N)) (* N (* N N))))) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))))) |
(- (/ 1 (* N (* N N))) (/ 1/8 (* (* N (* N N)) (* N (* N N))))) |
(/ 1 (* N (* N N))) |
1 |
(* N (* N N)) |
N |
(* N N) |
(/ 1/8 (* (* N (* N N)) (* N (* N N)))) |
1/8 |
(* (* N (* N N)) (* N (* N N))) |
(+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) |
(* (/ 1 N) (/ 1 N)) |
(/ 1 N) |
(+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))) |
(* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) |
(/ (/ 1/2 N) N) |
(/ 1/2 N) |
1/2 |
(* (/ 1 N) (/ (/ 1/2 N) N)) |
(* (/ -1 (- (log (* (+ (* N N) -1) N)) (log (+ N -1)))) (* (log (* N (+ 1 N))) (log (/ N (+ 1 N))))) |
(/ -1 (- (log (* (+ (* N N) -1) N)) (log (+ N -1)))) |
-1 |
(- (log (* (+ (* N N) -1) N)) (log (+ N -1))) |
(log (* (+ (* N N) -1) N)) |
(* (+ (* N N) -1) N) |
(+ (* N N) -1) |
(* N N) |
N |
(log (+ N -1)) |
(+ N -1) |
(* (log (* N (+ 1 N))) (log (/ N (+ 1 N)))) |
(log (* N (+ 1 N))) |
(* N (+ 1 N)) |
(+ 1 N) |
1 |
(log (/ N (+ 1 N))) |
(/ N (+ 1 N)) |
(+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ N 1))))) (neg (/ 1 (/ (log (* N (+ 1 N))) (pow (log N) 2))))) |
(log (+ 1 N)) |
N |
(/ (log (+ 1 N)) (log (* N (+ N 1)))) |
(log (* N (+ N 1))) |
(* N (+ N 1)) |
(+ N 1) |
1 |
(neg (/ 1 (/ (log (* N (+ 1 N))) (pow (log N) 2)))) |
(/ 1 (/ (log (* N (+ 1 N))) (pow (log N) 2))) |
(/ (log (* N (+ 1 N))) (pow (log N) 2)) |
(log (* N (+ 1 N))) |
(* N (+ 1 N)) |
(+ 1 N) |
(pow (log N) 2) |
(log N) |
2 |
| Outputs |
|---|
(/ 1 (* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N))) |
(/.f64 #s(literal 1 binary64) (+.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)))) |
1 |
#s(literal 1 binary64) |
(* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N)) |
(+.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) |
(+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) |
(+.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)) |
(/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) |
(- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) |
1/2 |
#s(literal 1/2 binary64) |
(/ (+ 1/12 (/ -1/24 N)) N) |
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) |
(+ 1/12 (/ -1/24 N)) |
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) |
1/12 |
#s(literal 1/12 binary64) |
(/ -1/24 N) |
(/.f64 #s(literal -1/24 binary64) N) |
-1/24 |
#s(literal -1/24 binary64) |
N |
(- 0 N) |
(-.f64 #s(literal 0 binary64) N) |
0 |
#s(literal 0 binary64) |
-1 |
#s(literal -1 binary64) |
(/ (+ N -1/2) (* N N)) |
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N) |
(+ N -1/2) |
(+.f64 N #s(literal -1/2 binary64)) |
N |
-1/2 |
#s(literal -1/2 binary64) |
(* N N) |
(*.f64 N N) |
(/ (- (/ 1 (* N (* N N))) (/ 1/8 (* (* N (* N N)) (* N (* N N))))) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 N N)) N) (*.f64 N (*.f64 N N)))) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))))) |
(- (/ 1 (* N (* N N))) (/ 1/8 (* (* N (* N N)) (* N (* N N))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 N N)) N) (*.f64 N (*.f64 N N)))) |
(/ 1 (* N (* N N))) |
(/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) |
1 |
#s(literal 1 binary64) |
(* N (* N N)) |
(*.f64 N (*.f64 N N)) |
N |
(* N N) |
(*.f64 N N) |
(/ 1/8 (* (* N (* N N)) (* N (* N N)))) |
(/.f64 (/.f64 #s(literal 1/8 binary64) N) (*.f64 (*.f64 N N) (*.f64 N (*.f64 N N)))) |
1/8 |
#s(literal 1/8 binary64) |
(* (* N (* N N)) (* N (* N N))) |
(*.f64 N (*.f64 (*.f64 N N) (*.f64 N (*.f64 N N)))) |
(+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) |
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))) |
(* (/ 1 N) (/ 1 N)) |
(/.f64 (/.f64 #s(literal 1 binary64) N) N) |
(/ 1 N) |
(/.f64 #s(literal 1 binary64) N) |
(+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) (*.f64 N N)) |
(* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) |
(/.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) N) (*.f64 N N)) N) |
(/ (/ 1/2 N) N) |
(/.f64 #s(literal 1/2 binary64) (*.f64 N N)) |
(/ 1/2 N) |
(/.f64 #s(literal 1/2 binary64) N) |
1/2 |
#s(literal 1/2 binary64) |
(* (/ 1 N) (/ (/ 1/2 N) N)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 N (*.f64 N N))) |
(* (/ -1 (- (log (* (+ (* N N) -1) N)) (log (+ N -1)))) (* (log (* N (+ 1 N))) (log (/ N (+ 1 N))))) |
(/.f64 (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))))) |
(/ -1 (- (log (* (+ (* N N) -1) N)) (log (+ N -1)))) |
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) (log.f64 (+.f64 N #s(literal -1 binary64))))) |
-1 |
#s(literal -1 binary64) |
(- (log (* (+ (* N N) -1) N)) (log (+ N -1))) |
(-.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) (log.f64 (+.f64 N #s(literal -1 binary64)))) |
(log (* (+ (* N N) -1) N)) |
(log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) |
(* (+ (* N N) -1) N) |
(*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N))) |
(+ (* N N) -1) |
(+.f64 #s(literal -1 binary64) (*.f64 N N)) |
(* N N) |
(*.f64 N N) |
N |
(log (+ N -1)) |
(log.f64 (+.f64 N #s(literal -1 binary64))) |
(+ N -1) |
(+.f64 N #s(literal -1 binary64)) |
(* (log (* N (+ 1 N))) (log (/ N (+ 1 N)))) |
(*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) |
(log (* N (+ 1 N))) |
(log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) |
(* N (+ 1 N)) |
(*.f64 N (+.f64 #s(literal 1 binary64) N)) |
(+ 1 N) |
(+.f64 #s(literal 1 binary64) N) |
1 |
#s(literal 1 binary64) |
(log (/ N (+ 1 N))) |
(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) |
(/ N (+ 1 N)) |
(/.f64 N (+.f64 #s(literal 1 binary64) N)) |
(+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ N 1))))) (neg (/ 1 (/ (log (* N (+ 1 N))) (pow (log N) 2))))) |
(-.f64 (*.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(log (+ 1 N)) |
(log1p.f64 N) |
N |
(/ (log (+ 1 N)) (log (* N (+ N 1)))) |
(/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) |
(log (* N (+ N 1))) |
(log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) |
(* N (+ N 1)) |
(*.f64 N (+.f64 #s(literal 1 binary64) N)) |
(+ N 1) |
(+.f64 #s(literal 1 binary64) N) |
1 |
#s(literal 1 binary64) |
(neg (/ 1 (/ (log (* N (+ 1 N))) (pow (log N) 2)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) |
(/ 1 (/ (log (* N (+ 1 N))) (pow (log N) 2))) |
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) |
(/ (log (* N (+ 1 N))) (pow (log N) 2)) |
(/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) |
(log (* N (+ 1 N))) |
(log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) |
(* N (+ 1 N)) |
(*.f64 N (+.f64 #s(literal 1 binary64) N)) |
(+ 1 N) |
(+.f64 #s(literal 1 binary64) N) |
(pow (log N) 2) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(log N) |
(log.f64 N) |
2 |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) |
| ✓ | accuracy | 99.9% | (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) |
| ✓ | accuracy | 99.9% | (pow.f64 (log.f64 N) #s(literal 2 binary64)) |
| ✓ | accuracy | 98.7% | (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))) |
| ✓ | accuracy | 99.9% | (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) |
| ✓ | accuracy | 99.9% | (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64)))) |
| ✓ | accuracy | 99.1% | (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) |
| ✓ | accuracy | 99.9% | (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)) |
| ✓ | accuracy | 99.9% | (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) |
| ✓ | accuracy | 100.0% | (+.f64 N #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 N N) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))) |
| ✓ | accuracy | 99.9% | (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) |
| ✓ | accuracy | 99.9% | (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal -1/24 binary64) N) |
| 971.0ms | 223× | 5 | exit |
| 27.0ms | 33× | 0 | valid |
Compiled 562 to 62 computations (89% saved)
backward-pass: 188.0ms (40.2% of total)ival-div: 62.0ms (13.3% of total)ival-log: 58.0ms (12.4% of total)ival-mult: 53.0ms (11.3% of total)ival-add: 29.0ms (6.2% of total)compiled-spec: 27.0ms (5.8% of total)...c/correct-round.rkt:119:19: 23.0ms (4.9% of total)ival-sub: 14.0ms (3% of total)ival-pow: 7.0ms (1.5% of total)const: 3.0ms (0.6% of total)ival-neg: 3.0ms (0.6% of total)| Inputs |
|---|
#<alt (* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N))> |
#<alt (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N))> |
#<alt (/ 1 (* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N)))> |
#<alt (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1)> |
#<alt (/ (+ N -1/2) (* N N))> |
#<alt (+ N -1/2)> |
#<alt (* N N)> |
#<alt (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))> |
#<alt (* (/ 1 N) (/ 1 N))> |
#<alt (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N))> |
#<alt (* (/ 1 N) (/ (/ 1/2 N) N))> |
#<alt (* (/ -1 (- (log (* (+ (* N N) -1) N)) (log (+ N -1)))) (* (log (* N (+ 1 N))) (log (/ N (+ 1 N)))))> |
#<alt (/ -1 (- (log (* (+ (* N N) -1) N)) (log (+ N -1))))> |
#<alt (- (log (* (+ (* N N) -1) N)) (log (+ N -1)))> |
#<alt (log (* (+ (* N N) -1) N))> |
#<alt (+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ N 1))))) (neg (/ 1 (/ (log (* N (+ 1 N))) (pow (log N) 2)))))> |
#<alt (/ 1 (/ (log (* N (+ 1 N))) (pow (log N) 2)))> |
#<alt (log (+ 1 N))> |
#<alt (/ (log (+ 1 N)) (log (* N (+ N 1))))> |
#<alt (/ -1/24 N)> |
#<alt (+ 1/12 (/ -1/24 N))> |
#<alt (* (* N (* N N)) (* N (* N N)))> |
#<alt (/ (- (/ 1 (* N (* N N))) (/ 1/8 (* (* N (* N N)) (* N (* N N))))) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))))> |
#<alt (log (/ N (+ 1 N)))> |
#<alt (pow (log N) 2)> |
#<alt (/ (log (* N (+ 1 N))) (pow (log N) 2))> |
| Outputs |
|---|
#<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 (* 24 (pow N 2))> |
#<alt (* (pow N 2) (+ 24 (* 48 N)))> |
#<alt (* (pow N 2) (+ 24 (* N (+ 48 (* -192 N)))))> |
#<alt (* (pow N 2) (+ 24 (* N (+ 48 (* N (- (* -1536 N) 192))))))> |
#<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 (/ -1/24 (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 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 3))> |
#<alt -1> |
#<alt (* -1 (+ 1 (* 1/2 (/ 1 N))))> |
#<alt (- (/ 1/12 (pow N 2)) (+ 1 (* 1/2 (/ 1 N))))> |
#<alt (- (/ 1/12 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (* 1/2 (/ 1 N))))> |
#<alt (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)> |
#<alt (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)> |
#<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 (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 4))> |
#<alt (/ (+ 1/4 (* 1/2 N)) (pow N 4))> |
#<alt (/ (+ 1/4 (* 1/2 N)) (pow N 4))> |
#<alt (/ (+ 1/4 (* 1/2 N)) (pow N 4))> |
#<alt (/ 1/2 (pow N 3))> |
#<alt (/ (+ 1/2 (* 1/4 (/ 1 N))) (pow N 3))> |
#<alt (/ (+ 1/2 (* 1/4 (/ 1 N))) (pow N 3))> |
#<alt (/ (+ 1/2 (* 1/4 (/ 1 N))) (pow N 3))> |
#<alt (/ 1/2 (pow N 3))> |
#<alt (/ (+ 1/2 (* 1/4 (/ 1 N))) (pow N 3))> |
#<alt (/ (+ 1/2 (* 1/4 (/ 1 N))) (pow N 3))> |
#<alt (/ (+ 1/2 (* 1/4 (/ 1 N))) (pow N 3))> |
#<alt (/ 1 (pow N 2))> |
#<alt (/ 1 (pow N 2))> |
#<alt (/ 1 (pow N 2))> |
#<alt (/ 1 (pow N 2))> |
#<alt (/ 1 (pow N 2))> |
#<alt (/ 1 (pow N 2))> |
#<alt (/ 1 (pow N 2))> |
#<alt (/ 1 (pow N 2))> |
#<alt (/ 1 (pow N 2))> |
#<alt (/ 1 (pow N 2))> |
#<alt (/ 1 (pow N 2))> |
#<alt (/ 1 (pow N 2))> |
#<alt (/ 1/4 (pow N 4))> |
#<alt (/ 1/4 (pow N 4))> |
#<alt (/ 1/4 (pow N 4))> |
#<alt (/ 1/4 (pow N 4))> |
#<alt (/ 1/4 (pow N 4))> |
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#<alt (- (* -1/2 (log (/ 1 N))) (* 1/4 (/ 1 N)))> |
#<alt (- (+ (* -1/2 (log (/ 1 N))) (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))> |
#<alt (- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3)))))))> |
#<alt (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))> |
#<alt (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))))> |
#<alt (+ (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3))))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* N (log (/ -1 N))))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3)))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))> |
#<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 (/ N (log N))> |
#<alt (* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))> |
#<alt (* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (* 1/2 (/ 1 (pow (log N) 2)))) (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))> |
#<alt (* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* N (- (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/4 (/ 1 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))) (* 2/3 (/ 1 (pow (log N) 2)))))))))) (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))> |
#<alt 1/2> |
#<alt (- 1/2 (* 1/4 (/ 1 (* N (log (/ 1 N))))))> |
#<alt (- (+ 1/2 (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))))> |
#<alt (- (+ 1/2 (+ (/ 1/16 (* (pow N 3) (pow (log (/ 1 N)) 2))) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (+ (* 1/8 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))))))> |
#<alt (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N))))> |
#<alt (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N)))))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N)))))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ 1 (log (/ -1 N)))) (+ (* -1/12 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N))))))) N)) (* 1/4 (/ 1 (log (/ -1 N))))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 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 N)> |
#<alt (/ -1/24 N)> |
#<alt (/ (- (* 1/12 N) 1/24) N)> |
#<alt (/ (- (* 1/12 N) 1/24) N)> |
#<alt (/ (- (* 1/12 N) 1/24) N)> |
#<alt 1/12> |
#<alt (- 1/12 (* 1/24 (/ 1 N)))> |
#<alt (- 1/12 (* 1/24 (/ 1 N)))> |
#<alt (- 1/12 (* 1/24 (/ 1 N)))> |
#<alt 1/12> |
#<alt (- 1/12 (* 1/24 (/ 1 N)))> |
#<alt (- 1/12 (* 1/24 (/ 1 N)))> |
#<alt (- 1/12 (* 1/24 (/ 1 N)))> |
#<alt (pow N 6)> |
#<alt (pow N 6)> |
#<alt (pow N 6)> |
#<alt (pow N 6)> |
#<alt (pow N 6)> |
#<alt (pow N 6)> |
#<alt (pow N 6)> |
#<alt (pow N 6)> |
#<alt (pow N 6)> |
#<alt (pow N 6)> |
#<alt (pow N 6)> |
#<alt (pow N 6)> |
#<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 (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)> |
#<alt (/ 1 (log N))> |
#<alt (+ (/ 1 (log N)) (/ N (pow (log N) 2)))> |
#<alt (+ (* N (+ (* -1/2 (/ N (pow (log N) 2))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))> |
#<alt (+ (* N (+ (* N (- (* 1/3 (/ N (pow (log N) 2))) (* 1/2 (/ 1 (pow (log N) 2))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))> |
#<alt (/ -2 (log (/ 1 N)))> |
#<alt (- (/ 1 (* N (pow (log (/ 1 N)) 2))) (* 2 (/ 1 (log (/ 1 N)))))> |
#<alt (- (/ 1 (* N (pow (log (/ 1 N)) 2))) (+ (/ 1/2 (* (pow N 2) (pow (log (/ 1 N)) 2))) (* 2 (/ 1 (log (/ 1 N))))))> |
#<alt (- (+ (/ 1 (* N (pow (log (/ 1 N)) 2))) (* 1/3 (/ 1 (* (pow N 3) (pow (log (/ 1 N)) 2))))) (+ (* 2 (/ 1 (log (/ 1 N)))) (* 1/2 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))))> |
#<alt (* -2 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))> |
#<alt (+ (* -2 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (/ 1 (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))> |
#<alt (+ (* -2 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* -1 (/ (- (* 1/2 (/ 1 (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)))> |
#<alt (+ (* -2 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | N | @ | inf | (* (/ -1 (- (log (* (+ (* N N) -1) N)) (log (+ N -1)))) (* (log (* N (+ 1 N))) (log (/ N (+ 1 N))))) |
| 5.0ms | N | @ | -inf | (* (/ -1 (- (log (* (+ (* N N) -1) N)) (log (+ N -1)))) (* (log (* N (+ 1 N))) (log (/ N (+ 1 N))))) |
| 3.0ms | N | @ | inf | (/ -1 (- (log (* (+ (* N N) -1) N)) (log (+ N -1)))) |
| 2.0ms | N | @ | -inf | (/ -1 (- (log (* (+ (* N N) -1) N)) (log (+ N -1)))) |
| 1.0ms | N | @ | -inf | (/ (log (* N (+ 1 N))) (pow (log N) 2)) |
| 1× | batch-egg-rewrite |
| 2736× | fma-lowering-fma.f32 |
| 2736× | fma-lowering-fma.f64 |
| 2486× | /-lowering-/.f32 |
| 2486× | /-lowering-/.f64 |
| 2260× | *-lowering-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 258 |
| 1 | 468 | 219 |
| 2 | 4836 | 217 |
| 0 | 8056 | 217 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N)) |
(/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) |
(/ 1 (* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N))) |
(+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) |
(/ (+ N -1/2) (* N N)) |
(+ N -1/2) |
(* N N) |
(+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))) |
(* (/ 1 N) (/ 1 N)) |
(* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) |
(* (/ 1 N) (/ (/ 1/2 N) N)) |
(* (/ -1 (- (log (* (+ (* N N) -1) N)) (log (+ N -1)))) (* (log (* N (+ 1 N))) (log (/ N (+ 1 N))))) |
(/ -1 (- (log (* (+ (* N N) -1) N)) (log (+ N -1)))) |
(- (log (* (+ (* N N) -1) N)) (log (+ N -1))) |
(log (* (+ (* N N) -1) N)) |
(+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ N 1))))) (neg (/ 1 (/ (log (* N (+ 1 N))) (pow (log N) 2))))) |
(/ 1 (/ (log (* N (+ 1 N))) (pow (log N) 2))) |
(log (+ 1 N)) |
(/ (log (+ 1 N)) (log (* N (+ N 1)))) |
(/ -1/24 N) |
(+ 1/12 (/ -1/24 N)) |
(* (* N (* N N)) (* N (* N N))) |
(/ (- (/ 1 (* N (* N N))) (/ 1/8 (* (* N (* N N)) (* N (* N N))))) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))))) |
(log (/ N (+ 1 N))) |
(pow (log N) 2) |
(/ (log (* N (+ 1 N))) (pow (log N) 2)) |
| Outputs |
|---|
(+.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) (-.f64 #s(literal 0 binary64) N))) |
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) 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 (*.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) N) #s(literal -1 binary64))) |
(+.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)) #s(literal 0 binary64)) (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))))) |
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)) N) |
(+.f64 (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))) (neg.f64 (*.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))))) |
(fma.f64 N #s(literal 1 binary64) (*.f64 (/.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 0 binary64) N))) |
(fma.f64 #s(literal 0 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)) (neg.f64 (*.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))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) N) #s(literal -1 binary64))) |
(fma.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) N) (/.f64 (+.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 #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) N) N) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) 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) (-.f64 #s(literal 0 binary64) N))) |
(fma.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)) #s(literal 0 binary64) (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))))) |
(fma.f64 #s(literal 1 binary64) 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) (-.f64 #s(literal 0 binary64) 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)))) |
(/.f64 (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(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.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 (*.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(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 N (*.f64 N N))) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (/.f64 (+.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (*.f64 (*.f64 N N) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 N (*.f64 N (*.f64 N (*.f64 N (*.f64 N N)))))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 N (*.f64 N (*.f64 N (*.f64 N (*.f64 N N)))))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 N (*.f64 N (*.f64 N (*.f64 N (*.f64 N N)))))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 N (*.f64 N (*.f64 N (*.f64 N (*.f64 N N)))))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))) (*.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 N (*.f64 N (*.f64 N (*.f64 N (*.f64 N N)))))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 N (*.f64 N (*.f64 N (*.f64 N (*.f64 N N)))))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 N (*.f64 N (*.f64 N (*.f64 N (*.f64 N N)))))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))))) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 N (*.f64 N N)))) (*.f64 N (*.f64 N N))) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) |
(/.f64 (*.f64 (-.f64 (*.f64 N (*.f64 N (*.f64 N (*.f64 N (*.f64 N N))))) (*.f64 (*.f64 N (*.f64 N N)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N (*.f64 N (*.f64 N (*.f64 N N))))))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N (*.f64 N (*.f64 N (*.f64 N N))))))) (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 N (*.f64 N (*.f64 N (*.f64 N (*.f64 N N)))))) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 N (*.f64 N (*.f64 N (*.f64 N (*.f64 N N))))) (*.f64 N (*.f64 N (*.f64 N (*.f64 N (*.f64 N N))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))) (+.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 N (*.f64 N (*.f64 N (*.f64 N (*.f64 N N)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1/8 binary64) (*.f64 N (*.f64 N (*.f64 N (*.f64 N (*.f64 N N)))))))) (/.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 N (*.f64 N (*.f64 N (*.f64 N N))))))) |
(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1/8 binary64) (*.f64 N (*.f64 N (*.f64 N (*.f64 N (*.f64 N N))))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 N (*.f64 N N)))) (*.f64 N (*.f64 N N)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1/8 binary64) (*.f64 N (*.f64 N (*.f64 N (*.f64 N (*.f64 N N)))))))) |
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 N (*.f64 N N)))) (*.f64 N (*.f64 N N)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 N (*.f64 N N)))) (*.f64 N (*.f64 N N))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 N (*.f64 N N)))) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 N (*.f64 N N)))) (*.f64 N (*.f64 N N)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 N (*.f64 N N)))) (*.f64 N (*.f64 N N)))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 N (*.f64 N N)))) (*.f64 N (*.f64 N N))) (+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 N N)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 N (*.f64 N (*.f64 N (*.f64 N N))))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N (*.f64 N N)))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 N (*.f64 N N)))) (*.f64 N (*.f64 N N))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N (*.f64 N N)))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 N N)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))))))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))) (*.f64 N N)))) |
(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) |
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
(+.f64 (log.f64 N) (-.f64 #s(literal 0 binary64) (log1p.f64 N))) |
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 N)) (log.f64 N)) |
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) N)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1 binary64))))) |
(+.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))) (log.f64 (-.f64 (+.f64 (*.f64 N N) #s(literal 1 binary64)) N))) |
(+.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))))) |
(+.f64 (log.f64 (/.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) (log.f64 (+.f64 N #s(literal -1 binary64)))) |
(+.f64 (log.f64 (/.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (-.f64 #s(literal 1 binary64) N))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) |
(-.f64 (log.f64 N) (log1p.f64 N)) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) N)) (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (log.f64 N) #s(literal 1/2 binary64)) (pow.f64 (log.f64 N) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (log1p.f64 N))) |
(neg.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) 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 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (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 (log.f64 (log.f64 N))) #s(literal 2 binary64)) |
(*.f64 (log.f64 N) (log.f64 N)) |
(*.f64 (exp.f64 (log.f64 (log.f64 N))) (exp.f64 (log.f64 (log.f64 N)))) |
(neg.f64 (/.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(/.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) |
(/.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) |
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 1 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) |
(/.f64 (/.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 N)) (log.f64 N)) |
(pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) |
(*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (log.f64 N) #s(literal -2 binary64))) |
(*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) |
| 1× | egg-herbie |
| 4860× | +-lowering-+.f64 |
| 4860× | +-lowering-+.f32 |
| 3480× | *-lowering-*.f32 |
| 3480× | *-lowering-*.f64 |
| 1816× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 868 | 6069 |
| 1 | 3015 | 5441 |
| 0 | 8290 | 5441 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/24 (pow N 2)) |
(/ (+ 1/24 (* -1/12 N)) (pow N 2)) |
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2)) |
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2)) |
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)) |
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(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (log (/ -1 N)))) (+ (* -1/4 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/24 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))))) (+ (* 1/6 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (+ (* 1/4 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N))))))) (log (/ -1 N))))))) N)) (+ (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))))) (+ (* 1/4 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))) N)) (/ (log -1) (log (/ -1 N)))) 1) N)) |
(log N) |
(+ (log N) (* -1 N)) |
(+ (log N) (* N (- (* N (+ 1/2 (/ 1 (log N)))) 1))) |
(+ (log N) (* N (- (* N (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) 1))) |
(* -1/2 (log (/ 1 N))) |
(- (* -1/2 (log (/ 1 N))) (* 1/4 (/ 1 N))) |
(- (+ (* -1/2 (log (/ 1 N))) (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))) |
(- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3))))))) |
(* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) |
(+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2))))) |
(+ (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3))))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* N (log (/ -1 N))))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3)))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))) |
N |
(* N (+ 1 (* -1/2 N))) |
(* N (+ 1 (* N (- (* 1/3 N) 1/2)))) |
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2)))) |
(* -1 (log (/ 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)))) |
(/ N (log N)) |
(* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))) |
(* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (* 1/2 (/ 1 (pow (log N) 2)))) (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))) |
(* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* N (- (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/4 (/ 1 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))) (* 2/3 (/ 1 (pow (log N) 2)))))))))) (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))) |
1/2 |
(- 1/2 (* 1/4 (/ 1 (* N (log (/ 1 N)))))) |
(- (+ 1/2 (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))))) |
(- (+ 1/2 (+ (/ 1/16 (* (pow N 3) (pow (log (/ 1 N)) 2))) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (+ (* 1/8 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))))))) |
(* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N)))) |
(+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ 1 (log (/ -1 N)))) (+ (* -1/12 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N))))))) N)) (* 1/4 (/ 1 (log (/ -1 N))))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 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 N) |
(/ -1/24 N) |
(/ (- (* 1/12 N) 1/24) N) |
(/ (- (* 1/12 N) 1/24) N) |
(/ (- (* 1/12 N) 1/24) N) |
1/12 |
(- 1/12 (* 1/24 (/ 1 N))) |
(- 1/12 (* 1/24 (/ 1 N))) |
(- 1/12 (* 1/24 (/ 1 N))) |
1/12 |
(- 1/12 (* 1/24 (/ 1 N))) |
(- 1/12 (* 1/24 (/ 1 N))) |
(- 1/12 (* 1/24 (/ 1 N))) |
(pow N 6) |
(pow N 6) |
(pow N 6) |
(pow N 6) |
(pow N 6) |
(pow N 6) |
(pow N 6) |
(pow N 6) |
(pow N 6) |
(pow N 6) |
(pow N 6) |
(pow N 6) |
(/ -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)) |
(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) |
(/ 1 (log N)) |
(+ (/ 1 (log N)) (/ N (pow (log N) 2))) |
(+ (* N (+ (* -1/2 (/ N (pow (log N) 2))) (/ 1 (pow (log N) 2)))) (/ 1 (log N))) |
(+ (* N (+ (* N (- (* 1/3 (/ N (pow (log N) 2))) (* 1/2 (/ 1 (pow (log N) 2))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N))) |
(/ -2 (log (/ 1 N))) |
(- (/ 1 (* N (pow (log (/ 1 N)) 2))) (* 2 (/ 1 (log (/ 1 N))))) |
(- (/ 1 (* N (pow (log (/ 1 N)) 2))) (+ (/ 1/2 (* (pow N 2) (pow (log (/ 1 N)) 2))) (* 2 (/ 1 (log (/ 1 N)))))) |
(- (+ (/ 1 (* N (pow (log (/ 1 N)) 2))) (* 1/3 (/ 1 (* (pow N 3) (pow (log (/ 1 N)) 2))))) (+ (* 2 (/ 1 (log (/ 1 N)))) (* 1/2 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))))) |
(* -2 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) |
(+ (* -2 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (/ 1 (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) |
(+ (* -2 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* -1 (/ (- (* 1/2 (/ 1 (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N))) |
(+ (* -2 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N))) |
| Outputs |
|---|
(/ 1/24 (pow N 2)) |
(/.f64 #s(literal 1/24 binary64) (*.f64 N N)) |
(/ (+ 1/24 (* -1/12 N)) (pow N 2)) |
(/.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 N #s(literal -1/12 binary64))) (*.f64 N N)) |
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2)) |
(/.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 N (+.f64 (*.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)))) (*.f64 N N)) |
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2)) |
(/.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 N (+.f64 (*.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)) |
N |
(* N (+ 1 (* 1/2 (/ 1 N)))) |
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.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)))) |
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) |
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1))) |
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)) |
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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 (+.f64 (*.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 (+.f64 (*.f64 N (+.f64 #s(literal 1/12 binary64) (*.f64 N #s(literal -1/2 binary64)))) #s(literal -1/24 binary64)) (*.f64 N (*.f64 N N))) |
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3)) |
(/.f64 (+.f64 (*.f64 N (+.f64 #s(literal 1/12 binary64) (*.f64 N #s(literal -1/2 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 (/.f64 #s(literal 1/24 binary64) (*.f64 N 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 (/.f64 #s(literal 1/24 binary64) (*.f64 N N)) #s(literal 1/2 binary64))) 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)) (-.f64 #s(literal 0 binary64) 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)) (-.f64 #s(literal 0 binary64) 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)) (-.f64 #s(literal 0 binary64) N)) |
(* 24 (pow N 2)) |
(*.f64 (*.f64 N N) #s(literal 24 binary64)) |
(* (pow N 2) (+ 24 (* 48 N))) |
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(+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N))))) |
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))) N)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N))))) |
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (*.f64 #s(literal -1/8 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) N))))) N)) (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))))) N)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ 1 (log (/ -1 N)))) (+ (* -1/12 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N))))))) N)) (* 1/4 (/ 1 (log (/ -1 N))))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N))))) |
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (*.f64 #s(literal -1/8 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (*.f64 #s(literal -1/12 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))))) N)) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) N))))) N)) (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 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 N) |
(/.f64 #s(literal -1/24 binary64) N) |
(/ -1/24 N) |
(/.f64 #s(literal -1/24 binary64) N) |
(/ (- (* 1/12 N) 1/24) N) |
(/.f64 (+.f64 (*.f64 N #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) N) |
(/ (- (* 1/12 N) 1/24) N) |
(/.f64 (+.f64 (*.f64 N #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) N) |
(/ (- (* 1/12 N) 1/24) N) |
(/.f64 (+.f64 (*.f64 N #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) N) |
1/12 |
#s(literal 1/12 binary64) |
(- 1/12 (* 1/24 (/ 1 N))) |
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) |
(- 1/12 (* 1/24 (/ 1 N))) |
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) |
(- 1/12 (* 1/24 (/ 1 N))) |
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) |
1/12 |
#s(literal 1/12 binary64) |
(- 1/12 (* 1/24 (/ 1 N))) |
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) |
(- 1/12 (* 1/24 (/ 1 N))) |
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) |
(- 1/12 (* 1/24 (/ 1 N))) |
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) |
(pow N 6) |
(pow.f64 N #s(literal 6 binary64)) |
(pow N 6) |
(pow.f64 N #s(literal 6 binary64)) |
(pow N 6) |
(pow.f64 N #s(literal 6 binary64)) |
(pow N 6) |
(pow.f64 N #s(literal 6 binary64)) |
(pow N 6) |
(pow.f64 N #s(literal 6 binary64)) |
(pow N 6) |
(pow.f64 N #s(literal 6 binary64)) |
(pow N 6) |
(pow.f64 N #s(literal 6 binary64)) |
(pow N 6) |
(pow.f64 N #s(literal 6 binary64)) |
(pow N 6) |
(pow.f64 N #s(literal 6 binary64)) |
(pow N 6) |
(pow.f64 N #s(literal 6 binary64)) |
(pow N 6) |
(pow.f64 N #s(literal 6 binary64)) |
(pow N 6) |
(pow.f64 N #s(literal 6 binary64)) |
(/ -1/2 (pow N 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 N N)) |
(/ (- N 1/2) (pow N 2)) |
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
(/ (- N 1/2) (pow N 2)) |
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
(/ (- N 1/2) (pow N 2)) |
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
(/ 1 N) |
(/.f64 #s(literal 1 binary64) N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) 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 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #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) |
(log N) |
(log.f64 N) |
(+ (log N) (* -1 N)) |
(-.f64 (log.f64 N) N) |
(+ (log N) (* N (- (* 1/2 N) 1))) |
(+.f64 (log.f64 N) (*.f64 N (+.f64 (*.f64 N #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1))) |
(+.f64 (log.f64 N) (*.f64 N (+.f64 (*.f64 N (+.f64 #s(literal 1/2 binary64) (*.f64 N #s(literal -1/3 binary64)))) #s(literal -1 binary64)))) |
(/ -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 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) 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)) (-.f64 #s(literal 0 binary64) 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)) (-.f64 #s(literal 0 binary64) 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 (log N)) |
(/.f64 #s(literal 1 binary64) (log.f64 N)) |
(+ (/ 1 (log N)) (/ N (pow (log N) 2))) |
(+.f64 (/.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 N))) |
(+ (* N (+ (* -1/2 (/ N (pow (log N) 2))) (/ 1 (pow (log N) 2)))) (/ 1 (log N))) |
(+.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (*.f64 N (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 (*.f64 N #s(literal -1/2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) |
(+ (* N (+ (* N (- (* 1/3 (/ N (pow (log N) 2))) (* 1/2 (/ 1 (pow (log N) 2))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N))) |
(+.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (*.f64 N (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 N (+.f64 (/.f64 (*.f64 N #s(literal 1/3 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))) |
(/ -2 (log (/ 1 N))) |
(/.f64 #s(literal 2 binary64) (log.f64 N)) |
(- (/ 1 (* N (pow (log (/ 1 N)) 2))) (* 2 (/ 1 (log (/ 1 N))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (log.f64 N))) |
(- (/ 1 (* N (pow (log (/ 1 N)) 2))) (+ (/ 1/2 (* (pow N 2) (pow (log (/ 1 N)) 2))) (* 2 (/ 1 (log (/ 1 N)))))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (log.f64 N))) |
(- (+ (/ 1 (* N (pow (log (/ 1 N)) 2))) (* 1/3 (/ 1 (* (pow N 3) (pow (log (/ 1 N)) 2))))) (+ (* 2 (/ 1 (log (/ 1 N)))) (* 1/2 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 N (*.f64 N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (log.f64 N)))) |
(* -2 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) |
(/.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) |
(+ (* -2 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (/ 1 (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) |
(+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) N) (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)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* -1 (/ (- (* 1/2 (/ 1 (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N))) |
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) N)) |
(+ (* -2 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N))) |
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) N)) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) N)) |
Compiled 39134 to 3465 computations (91.1% saved)
76 alts after pruning (66 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 965 | 26 | 991 |
| Fresh | 9 | 40 | 49 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 7 | 8 |
| Total | 977 | 76 | 1053 |
| Status | Accuracy | Program |
|---|---|---|
| 27.7% | (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) | |
| 27.9% | (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) | |
| 27.9% | (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))) | |
| 26.6% | (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) | |
| ✓ | 25.9% | (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) |
| ✓ | 26.4% | (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) |
| 28.1% | (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 N)) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64))))) | |
| 27.8% | (/.f64 (fma.f64 (log.f64 N) (log.f64 N) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64))))) | |
| 26.1% | (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64))))) | |
| 95.2% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/8 binary64)) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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) | |
| 93.9% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.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 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) (*.f64 N (*.f64 N N))) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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) | |
| 95.6% | (/.f64 (/.f64 #s(literal -1 binary64) 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))) | |
| 26.0% | (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) | |
| 25.8% | (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))))) | |
| 27.6% | (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64))))) | |
| 26.0% | (/.f64 (-.f64 (pow.f64 (exp.f64 (log.f64 (log.f64 N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64))))) | |
| 26.1% | (/.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64)))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))))) | |
| 26.1% | (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))) | |
| 25.9% | (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) | |
| 93.7% | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) | |
| ✓ | 95.2% | (/.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) |
| ✓ | 90.7% | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
| 93.7% | (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N) | |
| ✓ | 90.5% | (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
| 26.1% | (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (log.f64 N) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))) | |
| 29.1% | (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) | |
| 29.1% | (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))) | |
| 95.6% | (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.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)))) N) | |
| 82.4% | (/.f64 N (*.f64 N N)) | |
| 95.5% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 N (+.f64 (*.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N))) | |
| 95.6% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 N N)) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 binary64))) (*.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))))) | |
| 95.6% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 N N)) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (/.f64 (+.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (*.f64 N (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))))))) | |
| 95.7% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 binary64))) (+.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)))) | |
| 95.7% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (/.f64 (+.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) | |
| 29.6% | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))) | |
| 93.7% | (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))) | |
| 95.7% | (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)) N)) | |
| 95.5% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (/.f64 (+.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 binary64)) (/.f64 #s(literal -1 binary64) (/.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 0 binary64) N))) | |
| 95.6% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (/.f64 (+.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 #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) (-.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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) (/.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 0 binary64) N))) | |
| 95.6% | (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 (+.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 #s(literal 1 binary64) (+.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 #s(literal 0 binary64) N))) | |
| 95.6% | (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N N)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))))) (-.f64 #s(literal 0 binary64) N))) | |
| 95.6% | (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (-.f64 #s(literal 0 binary64) (*.f64 N N))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) N))) | |
| 95.6% | (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (-.f64 #s(literal 0 binary64) (*.f64 N N)))) (-.f64 #s(literal 0 binary64) N))) | |
| 94.2% | (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))) | |
| 91.4% | (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) | |
| ✓ | 82.6% | (/.f64 #s(literal 1 binary64) N) |
| 95.6% | (/.f64 #s(literal -1 binary64) (*.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)))) | |
| ✓ | 26.1% | (-.f64 (log1p.f64 N) (log.f64 N)) |
| ✓ | 25.8% | (-.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64)))) |
| 95.3% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 0 binary64) (*.f64 N (*.f64 N N)))) (*.f64 N N)) | |
| 95.2% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 0 binary64) (*.f64 N N))) N) | |
| 29.6% | (*.f64 (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N))) (+.f64 N #s(literal -1 binary64))))))) | |
| 95.6% | (*.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal -1 binary64) N)) | |
| 90.3% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))) | |
| 23.9% | (*.f64 (/.f64 #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 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) | |
| 27.7% | (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -3 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (pow.f64 N #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 N N))) (log.f64 (+.f64 N #s(literal -1 binary64))))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) | |
| 27.1% | (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -3 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (*.f64 N N))) (log.f64 (+.f64 N #s(literal -1 binary64))))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) | |
| 26.0% | (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) 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))))))) | |
| ✓ | 29.6% | (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) |
| 29.6% | (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N)) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) | |
| 29.6% | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) | |
| 24.1% | (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) | |
| 29.6% | (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (-.f64 (log.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N))) (log.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) | |
| 29.6% | (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (-.f64 (log.f64 (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) (*.f64 N (*.f64 N N)))) (log.f64 (+.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (*.f64 N N) (*.f64 N (*.f64 N N)))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) | |
| 29.6% | (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N)) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) | |
| 29.6% | (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) | |
| ✓ | 29.6% | (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) |
| 29.1% | (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))))) | |
| 26.0% | (*.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))))) | |
| 29.1% | (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))) | |
| 29.6% | (neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) | |
| 29.2% | (neg.f64 (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)))) | |
| 29.6% | (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) | |
| 29.1% | (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) | |
| 27.7% | (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))) #s(literal -1 binary64))) | |
| 29.1% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64))) |
Compiled 5953 to 1777 computations (70.1% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) N) |
(/.f64 N (*.f64 N N)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) |
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N)) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #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 #s(literal 1/3 binary64) 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) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 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 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))) |
(/.f64 #s(literal -1 binary64) (*.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 #s(literal 1 binary64) (/.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 N (+.f64 (*.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N))) |
(/.f64 (/.f64 #s(literal -1 binary64) 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 (neg.f64 (/.f64 #s(literal 1 binary64) (+.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)))) N) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal -1 binary64) N)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #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))) N)) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)) N)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.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 N (*.f64 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 N N)) |
(/.f64 (/.f64 (+.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))) N) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 0 binary64) (*.f64 N N))) N) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.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)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (-.f64 #s(literal 0 binary64) (*.f64 N N)))) (-.f64 #s(literal 0 binary64) N))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (-.f64 #s(literal 0 binary64) (*.f64 N N))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) N))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N N)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))))) (-.f64 #s(literal 0 binary64) N))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 0 binary64) (*.f64 N (*.f64 N N)))) (*.f64 N N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (/.f64 #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)))) N) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/8 binary64)) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 (-.f64 #s(literal 0 binary64) N) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 binary64))) (+.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 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 N N)) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 binary64))) (*.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 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))))) |
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(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) |
(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) |
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))) |
(*.f64 (/.f64 #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 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(*.f64 (/.f64 #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 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(neg.f64 (/.f64 (+.f64 (neg.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 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))) |
(*.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))))) |
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))))) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))))) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (/.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))) |
(*.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))) |
(*.f64 (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N))) (+.f64 N #s(literal -1 binary64))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) 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))))))) |
(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (log.f64 N) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64)))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)) N)) |
(*.f64 (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N))) (+.f64 N #s(literal -1 binary64))))))) |
2 calls:
| 31.0ms | N |
| 26.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | N |
| 99.3% | 2 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) N) |
(/.f64 N (*.f64 N N)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) |
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N)) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #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 #s(literal 1/3 binary64) 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) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 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 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))) |
(/.f64 #s(literal -1 binary64) (*.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 #s(literal 1 binary64) (/.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 N (+.f64 (*.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N))) |
(/.f64 (/.f64 #s(literal -1 binary64) 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 (neg.f64 (/.f64 #s(literal 1 binary64) (+.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)))) N) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal -1 binary64) N)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #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))) N)) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)) N)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.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 N (*.f64 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 N N)) |
(/.f64 (/.f64 (+.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))) N) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 0 binary64) (*.f64 N N))) N) |
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(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N)) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N)) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (-.f64 (log.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N))) (log.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -3 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (*.f64 N N))) (log.f64 (+.f64 N #s(literal -1 binary64))))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (-.f64 (log.f64 (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) (*.f64 N (*.f64 N N)))) (log.f64 (+.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (*.f64 N N) (*.f64 N (*.f64 N N)))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -3 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (pow.f64 N #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 N N))) (log.f64 (+.f64 N #s(literal -1 binary64))))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (log.f64 N) (log.f64 N) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 N)) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (log.f64 (log.f64 N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64))))) |
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) |
(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) |
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))) |
(*.f64 (/.f64 #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 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(*.f64 (/.f64 #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 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) |
(neg.f64 (/.f64 (+.f64 (neg.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 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))) |
(*.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))))) |
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))))) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))))) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (/.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))) |
(*.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)) N)) |
(neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) |
2 calls:
| 29.0ms | N |
| 24.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | N |
| 99.3% | 2 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) N) |
(/.f64 N (*.f64 N N)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) |
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N)) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #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 #s(literal 1/3 binary64) 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) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 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 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))) |
(/.f64 #s(literal -1 binary64) (*.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 #s(literal 1 binary64) (/.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 N (+.f64 (*.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N))) |
(/.f64 (/.f64 #s(literal -1 binary64) 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 (neg.f64 (/.f64 #s(literal 1 binary64) (+.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)))) N) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal -1 binary64) N)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #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))) N)) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)) N)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.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 N (*.f64 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 N N)) |
(/.f64 (/.f64 (+.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))) N) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 0 binary64) (*.f64 N N))) N) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.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)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (-.f64 #s(literal 0 binary64) (*.f64 N N)))) (-.f64 #s(literal 0 binary64) N))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (-.f64 #s(literal 0 binary64) (*.f64 N N))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) N))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N N)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))))) (-.f64 #s(literal 0 binary64) N))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 0 binary64) (*.f64 N (*.f64 N N)))) (*.f64 N N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (/.f64 #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)))) N) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/8 binary64)) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 (-.f64 #s(literal 0 binary64) N) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 binary64))) (+.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 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 N N)) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 binary64))) (*.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 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 (+.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 #s(literal 1 binary64) (+.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 #s(literal 0 binary64) N))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.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 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) (*.f64 N (*.f64 N N))) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 binary64) (*.f64 (/.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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 binary64) (*.f64 (/.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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 binary64) (*.f64 (/.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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.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 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (/.f64 (+.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 #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) (-.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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) (/.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 0 binary64) N))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (/.f64 (+.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 binary64)) (/.f64 #s(literal -1 binary64) (/.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 0 binary64) N))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (/.f64 (+.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 binary64)) (/.f64 #s(literal -1 binary64) (/.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) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 N N)) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (/.f64 (+.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (*.f64 N (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 binary64)) (/.f64 #s(literal -1 binary64) (/.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 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 (*.f64 (/.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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (*.f64 N (*.f64 N N)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))))) |
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) |
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
(neg.f64 (log.f64 (/.f64 (*.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N N))))) |
(neg.f64 (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
(-.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 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))) |
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)) N)) |
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) |
2 calls:
| 16.0ms | N |
| 15.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | N |
| 99.3% | 2 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) N) |
(/.f64 N (*.f64 N N)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) |
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N)) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #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 #s(literal 1/3 binary64) 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) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 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 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))) |
(/.f64 #s(literal -1 binary64) (*.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 #s(literal 1 binary64) (/.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 N (+.f64 (*.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N))) |
(/.f64 (/.f64 #s(literal -1 binary64) 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 (neg.f64 (/.f64 #s(literal 1 binary64) (+.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)))) N) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal -1 binary64) N)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #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))) N)) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)) N)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.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 N (*.f64 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 N N)) |
(/.f64 (/.f64 (+.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))) N) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 0 binary64) (*.f64 N N))) N) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.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)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (-.f64 #s(literal 0 binary64) (*.f64 N N)))) (-.f64 #s(literal 0 binary64) N))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (-.f64 #s(literal 0 binary64) (*.f64 N N))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) N))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N N)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))))) (-.f64 #s(literal 0 binary64) N))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 0 binary64) (*.f64 N (*.f64 N N)))) (*.f64 N N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (/.f64 #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)))) N) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/8 binary64)) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 (-.f64 #s(literal 0 binary64) N) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 binary64))) (+.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 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 N N)) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 binary64))) (*.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 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 (+.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 #s(literal 1 binary64) (+.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 #s(literal 0 binary64) N))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.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 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) (*.f64 N (*.f64 N N))) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 binary64) (*.f64 (/.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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 binary64) (*.f64 (/.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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 binary64) (*.f64 (/.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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.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 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (/.f64 (+.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 #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) (-.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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) (/.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 0 binary64) N))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (/.f64 (+.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 binary64)) (/.f64 #s(literal -1 binary64) (/.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 0 binary64) N))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (/.f64 (+.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 binary64)) (/.f64 #s(literal -1 binary64) (/.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) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 N N)) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (/.f64 (+.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (*.f64 N (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 binary64)) (/.f64 #s(literal -1 binary64) (/.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 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 (*.f64 (/.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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (*.f64 N (*.f64 N N)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))))) |
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) |
| Outputs |
|---|
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)) N)) |
1 calls:
| 15.0ms | N |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 2 | N |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) N) |
(/.f64 N (*.f64 N N)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) |
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N)) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #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 #s(literal 1/3 binary64) 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) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 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 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))) |
(/.f64 #s(literal -1 binary64) (*.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 #s(literal 1 binary64) (/.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 N (+.f64 (*.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N))) |
(/.f64 (/.f64 #s(literal -1 binary64) 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 (neg.f64 (/.f64 #s(literal 1 binary64) (+.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)))) N) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal -1 binary64) N)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #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))) N)) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)) N)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.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 N (*.f64 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 N N)) |
(/.f64 (/.f64 (+.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))) N) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 0 binary64) (*.f64 N N))) N) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.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)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (-.f64 #s(literal 0 binary64) (*.f64 N N)))) (-.f64 #s(literal 0 binary64) N))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (-.f64 #s(literal 0 binary64) (*.f64 N N))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) N))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N N)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))))) (-.f64 #s(literal 0 binary64) N))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 0 binary64) (*.f64 N (*.f64 N N)))) (*.f64 N N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (/.f64 #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)))) N) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/8 binary64)) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 (-.f64 #s(literal 0 binary64) N) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 binary64))) (+.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 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 N N)) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 binary64))) (*.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 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 (+.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 #s(literal 1 binary64) (+.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 #s(literal 0 binary64) N))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.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 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) (*.f64 N (*.f64 N N))) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 binary64) (*.f64 (/.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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 binary64) (*.f64 (/.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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 binary64) (*.f64 (/.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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.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 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (/.f64 (+.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 #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) (-.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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) (/.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 0 binary64) N))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (/.f64 (+.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 binary64)) (/.f64 #s(literal -1 binary64) (/.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 0 binary64) N))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (/.f64 (+.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 binary64)) (/.f64 #s(literal -1 binary64) (/.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) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 N N)) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (/.f64 (+.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (*.f64 N (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.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 binary64)) (/.f64 #s(literal -1 binary64) (/.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 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 (*.f64 (/.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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (*.f64 N (*.f64 N N)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)) N)) |
1 calls:
| 15.0ms | N |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.7% | 1 | N |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) N) |
(/.f64 N (*.f64 N N)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) |
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N)) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #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 #s(literal 1/3 binary64) 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) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 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 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))) |
(/.f64 #s(literal -1 binary64) (*.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 #s(literal 1 binary64) (/.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 N (+.f64 (*.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N))) |
(/.f64 (/.f64 #s(literal -1 binary64) 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 (neg.f64 (/.f64 #s(literal 1 binary64) (+.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)))) N) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal -1 binary64) N)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #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))) N)) |
| Outputs |
|---|
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.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)))) N) |
1 calls:
| 7.0ms | N |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.6% | 1 | N |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) N) |
(/.f64 N (*.f64 N N)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) |
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N)) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #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 #s(literal 1/3 binary64) 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) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 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 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))) |
(/.f64 #s(literal -1 binary64) (*.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 #s(literal 1 binary64) (/.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 N (+.f64 (*.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N))) |
(/.f64 (/.f64 #s(literal -1 binary64) 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 |
|---|
(/.f64 #s(literal -1 binary64) (*.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)))) |
1 calls:
| 8.0ms | N |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.6% | 1 | N |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) N) |
(/.f64 N (*.f64 N N)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) |
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N)) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #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 #s(literal 1/3 binary64) 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) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 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 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))) |
| Outputs |
|---|
(/.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) |
1 calls:
| 5.0ms | N |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.2% | 1 | N |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) N) |
(/.f64 N (*.f64 N N)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) |
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N)) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #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 #s(literal 1/3 binary64) 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) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))) |
1 calls:
| 5.0ms | N |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 1 | N |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) N) |
(/.f64 N (*.f64 N N)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) |
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N)) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #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 #s(literal 1/3 binary64) 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) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N))))) |
1 calls:
| 5.0ms | N |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 1 | N |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) N) |
(/.f64 N (*.f64 N N)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) |
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N)) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #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 #s(literal 1/3 binary64) 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) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))) |
1 calls:
| 4.0ms | N |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.7% | 1 | N |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) N) |
(/.f64 N (*.f64 N N)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) |
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N)) N) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) |
| Outputs |
|---|
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) |
1 calls:
| 4.0ms | N |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.7% | 1 | N |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) N) |
(/.f64 N (*.f64 N N)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) |
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) |
1 calls:
| 3.0ms | N |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.4% | 1 | N |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) N) |
(/.f64 N (*.f64 N N)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) |
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64))) |
| Outputs |
|---|
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) |
1 calls:
| 3.0ms | N |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.7% | 1 | N |
Compiled 2 to 1 computations (50% saved)
Total -0.1b remaining (-1.1%)
Threshold costs -0.1b (-1.1%)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) N) |
(/.f64 N (*.f64 N N)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) N) |
1 calls:
| 2.0ms | N |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.6% | 1 | N |
Compiled 2 to 1 computations (50% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0007987107434281882 | 0.0009812620259079807 |
Compiled 12 to 9 computations (25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0007987107434281882 | 0.0009812620259079807 |
Compiled 12 to 9 computations (25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0007987107434281882 | 0.0009812620259079807 |
Compiled 12 to 9 computations (25% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 723.0431580345104 | 1018.5958722920715 |
| 35.0ms | 64× | 0 | valid |
Compiled 128 to 97 computations (24.2% saved)
ival-sub: 31.0ms (93.1% of total)ival-log: 1.0ms (3% of total)ival-add: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 558× | distribute-lft-neg-in_binary64 |
| 334× | neg-mul-1_binary64 |
| 322× | distribute-neg-in_binary64 |
| 308× | neg-sub0_binary64 |
| 242× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 342 |
| 1 | 166 | 342 |
| 2 | 231 | 336 |
| 3 | 302 | 335 |
| 4 | 367 | 335 |
| 5 | 439 | 335 |
| 6 | 591 | 335 |
| 7 | 886 | 335 |
| 8 | 1275 | 335 |
| 9 | 1640 | 335 |
| 10 | 1857 | 335 |
| 11 | 1918 | 335 |
| 12 | 1921 | 335 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 7378697629483821/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)) N)) (*.f64 (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N))) (+.f64 N #s(literal -1 binary64)))))))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 7378697629483821/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)) N)) (neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (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 7378697629483821/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)) N)) (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) |
(if (<=.f64 N #s(literal 780 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)) N))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)) N)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.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)))) N) |
(/.f64 #s(literal -1 binary64) (*.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 (-.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 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N))))) |
(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) |
(/.f64 #s(literal 1 binary64) N) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 7378697629483821/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)) N)) (*.f64 (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N))) (+.f64 N #s(literal -1 binary64)))))))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 7378697629483821/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 N (*.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 (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N))) (+.f64 N #s(literal -1 binary64)))))))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 7378697629483821/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)) N)) (neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (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 7378697629483821/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 N (*.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 (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) (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 7378697629483821/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)) 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 7378697629483821/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 N (*.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 0 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) |
(if (<=.f64 N #s(literal 780 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)) N))) |
(if (<=.f64 N #s(literal 780 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (-.f64 N (*.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 binary64) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)) N)) |
(/.f64 #s(literal 1 binary64) (-.f64 N (*.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 (neg.f64 (/.f64 #s(literal 1 binary64) (+.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)))) N) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.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))) N) |
(/.f64 #s(literal -1 binary64) (*.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 (-.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 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64)) N)) N) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))) |
(/.f64 #s(literal -1 binary64) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N)))) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N))))) |
(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) |
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) |
(/.f64 #s(literal 1 binary64) N) |
| 4860× | +-lowering-+.f64 |
| 4860× | +-lowering-+.f32 |
| 4712× | *-lowering-*.f32 |
| 4712× | *-lowering-*.f64 |
| 4668× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 334 |
| 1 | 329 | 263 |
| 2 | 3131 | 244 |
| 0 | 9358 | 244 |
| 0 | 902 | 5556 |
| 1 | 3082 | 4989 |
| 0 | 8221 | 4989 |
| 0 | 88 | 580 |
| 1 | 290 | 496 |
| 2 | 748 | 478 |
| 3 | 2067 | 472 |
| 4 | 6711 | 472 |
| 0 | 8364 | 472 |
| 0 | 868 | 6069 |
| 1 | 3015 | 5441 |
| 0 | 8290 | 5441 |
| 0 | 62 | 258 |
| 1 | 468 | 219 |
| 2 | 4836 | 217 |
| 0 | 8056 | 217 |
| 0 | 9 | 19 |
| 1 | 71 | 19 |
| 2 | 404 | 19 |
| 3 | 3902 | 19 |
| 0 | 8685 | 19 |
| 0 | 41 | 181 |
| 1 | 293 | 153 |
| 2 | 2589 | 153 |
| 0 | 9757 | 153 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 668 to 343 computations (48.7% saved)
Compiled 702 to 224 computations (68.1% saved)
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