
Time bar (total: 5.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 3.2% | 96.8% | 0% | 0% | 0% | 0 |
| 100% | 3.2% | 0% | 96.8% | 0% | 0% | 0% | 1 |
Compiled 15 to 10 computations (33.3% saved)
| 1.2s | 7 358× | 1 | valid |
| 53.0ms | 898× | 0 | valid |
ival-log1p: 376.0ms (37% of total)adjust: 238.0ms (23.4% of total)ival-log: 223.0ms (21.9% of total)ival-sub: 76.0ms (7.5% of total)ival-<: 56.0ms (5.5% of total)ival->: 23.0ms (2.3% of total)ival-and: 12.0ms (1.2% of total)exact: 10.0ms (1% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 249 | 0 | - | 0 | - | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 0 | 0 | - | 0 | - | N |
| 0 | 0 | - | 0 | - | (log.f64 N) |
| 0 | 0 | - | 0 | - | (+.f64 N #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (log.f64 (+.f64 N #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) | cancellation | 249 | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 249 | 1 |
| - | 0 | 6 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 249 | 1 | 0 |
| - | 0 | 1 | 5 |
| number | freq |
|---|---|
| 0 | 7 |
| 1 | 249 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 69.0ms | 456× | 1 | valid |
| 3.0ms | 56× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-log: 19.0ms (35.4% of total)ival-log1p: 15.0ms (28% of total)adjust: 12.0ms (22.4% of total)ival-sub: 4.0ms (7.5% of total)ival-add: 2.0ms (3.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 11 | 19 |
| 2 | 14 | 19 |
| 3 | 25 | 19 |
| 4 | 61 | 19 |
| 5 | 267 | 17 |
| 6 | 2316 | 17 |
| 7 | 5695 | 17 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 13 | 7 |
| 2 | 16 | 7 |
| 3 | 27 | 7 |
| 4 | 61 | 7 |
| 5 | 252 | 7 |
| 6 | 2195 | 7 |
| 7 | 5491 | 7 |
| 0 | 8635 | 5 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 24.2% | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
Compiled 7 to 6 computations (14.3% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 N) | |
| cost-diff | 0 | (+.f64 N #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) | |
| cost-diff | 2 | (log.f64 (+.f64 N #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 10 | 18 |
| 1 | 13 | 18 |
| 2 | 16 | 18 |
| 3 | 27 | 18 |
| 4 | 61 | 18 |
| 5 | 252 | 18 |
| 6 | 2195 | 18 |
| 7 | 5491 | 18 |
| 0 | 8635 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
(log.f64 (+.f64 N #s(literal 1 binary64))) |
(+.f64 N #s(literal 1 binary64)) |
N |
#s(literal 1 binary64) |
(log.f64 N) |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(log.f64 (+.f64 N #s(literal 1 binary64))) |
(log1p.f64 N) |
(+.f64 N #s(literal 1 binary64)) |
(-.f64 N #s(literal -1 binary64)) |
N |
#s(literal 1 binary64) |
(log.f64 N) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 N #s(literal 1 binary64)) | |
| accuracy | 0.0 | (log.f64 N) | |
| accuracy | 0.0078125 | (log.f64 (+.f64 N #s(literal 1 binary64))) | |
| accuracy | 48.517777267595854 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 58.0ms | 228× | 1 | valid |
| 2.0ms | 28× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
adjust: 26.0ms (52.9% of total)ival-log1p: 10.0ms (20.3% of total)ival-log: 8.0ms (16.3% of total)ival-sub: 3.0ms (6.1% of total)ival-add: 2.0ms (4.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(log.f64 (+.f64 N #s(literal 1 binary64))) |
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
(+.f64 N #s(literal 1 binary64)) |
(log.f64 N) |
| Outputs |
|---|
N |
(* N (+ 1 (* -1/2 N))) |
(* N (+ 1 (* N (- (* 1/3 N) 1/2)))) |
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2)))) |
(* -1 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
1 |
(+ 1 N) |
(log N) |
(* -1 (log (/ 1 N))) |
(+ (* -1 (log (/ 1 N))) (/ 1 N)) |
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))) |
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(* N (+ 1 (/ 1 N))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
(* -1 (/ (- (* 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)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | N | @ | 0 | ((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N)) |
| 19.0ms | N | @ | -inf | ((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N)) |
| 7.0ms | N | @ | inf | ((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 258 |
| 1 | 254 | 232 |
| 2 | 702 | 231 |
| 3 | 2862 | 227 |
| 0 | 8229 | 218 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
N |
(* N (+ 1 (* -1/2 N))) |
(* N (+ 1 (* N (- (* 1/3 N) 1/2)))) |
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2)))) |
(* -1 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
1 |
(+ 1 N) |
(log N) |
(* -1 (log (/ 1 N))) |
(+ (* -1 (log (/ 1 N))) (/ 1 N)) |
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))) |
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))) |
(/ 1 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(* N (+ 1 (/ 1 N))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
(* -1 (/ (- (* 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 |
|---|
N |
(* N (+ 1 (* -1/2 N))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) |
(* N (+ 1 (* N (- (* 1/3 N) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) |
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) |
(* -1 (log N)) |
(neg.f64 (log.f64 N)) |
(- N (log N)) |
(-.f64 N (log.f64 N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N))) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N) N (-.f64 N (log.f64 N))) |
1 |
#s(literal 1 binary64) |
(+ 1 N) |
(-.f64 N #s(literal -1 binary64)) |
(log N) |
(log.f64 N) |
(* -1 (log (/ 1 N))) |
(log.f64 N) |
(+ (* -1 (log (/ 1 N))) (/ 1 N)) |
(+.f64 (/.f64 #s(literal 1 binary64) N) (log.f64 N)) |
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))) |
(+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)) (log.f64 N)) |
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))) |
(+.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)) (log.f64 N)) |
(/ 1 N) |
(/.f64 #s(literal 1 binary64) N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) 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)) N) #s(literal -1 binary64)) N) |
(* N (+ 1 (/ 1 N))) |
(-.f64 N #s(literal -1 binary64)) |
(+ (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 (/.f64 #s(literal 1 binary64) N) (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) 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 (+.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) N))) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N 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)) N) #s(literal -1 binary64)) N) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 10 | 15 |
| 1 | 41 | 15 |
| 0 | 287 | 12 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (+.f64 N #s(literal 1 binary64))) |
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
(+.f64 N #s(literal 1 binary64)) |
(log.f64 N) |
| Outputs |
|---|
(log1p.f64 N) |
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) |
(-.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) |
(log.f64 (-.f64 N #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N)) |
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (-.f64 N #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) |
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))) |
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) |
(-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))) |
(-.f64 N #s(literal -1 binary64)) |
(+.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) |
(+.f64 #s(literal 1 binary64) N) |
(+.f64 N #s(literal 1 binary64)) |
(log.f64 N) |
Compiled 700 to 182 computations (74% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 37 | 9 | 46 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 38 | 9 | 47 |
| Status | Accuracy | Program |
|---|---|---|
| 24.0% | (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) | |
| 24.0% | (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) | |
| ▶ | 24.0% | (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) |
| ▶ | 24.2% | (-.f64 (log1p.f64 N) (log.f64 N)) |
| 26.8% | (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) | |
| ▶ | 96.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
| ▶ | 94.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))) |
| 92.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))) | |
| ▶ | 84.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
Compiled 274 to 184 computations (32.8% saved)
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log1p.f64 N) | |
| 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) (log1p.f64 N))) | |
| cost-diff | 5 | (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) | |
| 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 | (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) | |
| cost-diff | 0 | (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)) | |
| cost-diff | 0 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) N) | |
| cost-diff | 0 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) | |
| cost-diff | 0 | (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) | |
| cost-diff | 0 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 228 |
| 0 | 59 | 222 |
| 1 | 86 | 222 |
| 2 | 160 | 222 |
| 3 | 371 | 222 |
| 4 | 892 | 217 |
| 5 | 3289 | 217 |
| 6 | 6929 | 217 |
| 0 | 8240 | 217 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) 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)) N) #s(literal -1 binary64)) N) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) |
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) |
(/.f64 #s(literal -1/4 binary64) N) |
#s(literal -1/4 binary64) |
N |
#s(literal 1/3 binary64) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
(/.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
N |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))) |
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)) |
(+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) |
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/3 binary64) N) |
#s(literal 1/3 binary64) |
N |
#s(literal 1/2 binary64) |
(*.f64 N N) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(log1p.f64 N) |
N |
(log.f64 N) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
(log1p.f64 N) |
N |
#s(literal 2 binary64) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
(log.f64 N) |
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) 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)) N) #s(literal -1 binary64)) N) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) |
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) |
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) |
(/.f64 #s(literal -1/4 binary64) N) |
#s(literal -1/4 binary64) |
N |
#s(literal 1/3 binary64) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
(/.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
N |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) N)) |
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)) |
(/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) N) |
(+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) |
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/3 binary64) N) |
#s(literal 1/3 binary64) |
N |
#s(literal 1/2 binary64) |
(*.f64 N N) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(log1p.f64 N) |
N |
(log.f64 N) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) |
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
(log1p.f64 N) |
N |
#s(literal 2 binary64) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
(log.f64 N) |
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.46875 | (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) | |
| accuracy | 0.5130462890737681 | (pow.f64 (log.f64 N) #s(literal 2 binary64)) | |
| accuracy | 0.5185737793053261 | (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) | |
| accuracy | 48.1335999007646 | (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) | |
| accuracy | 0.0 | (log1p.f64 N) | |
| accuracy | 0.0 | (log.f64 N) | |
| accuracy | 48.517777267595854 | (-.f64 (log1p.f64 N) (log.f64 N)) | |
| accuracy | 0.00390625 | (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) | |
| accuracy | 0.30078125 | (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)) | |
| accuracy | 0.3515625 | (/.f64 #s(literal 1/3 binary64) N) | |
| accuracy | 3.008698958536628 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) N) | |
| accuracy | 10.047128027838381 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) | |
| accuracy | 0.0703125 | (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) | |
| accuracy | 0.14453125 | (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) | |
| accuracy | 0.3203125 | (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) | |
| accuracy | 2.2930562533792593 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
| 198.0ms | 231× | 1 | valid |
| 5.0ms | 25× | 0 | valid |
Compiled 220 to 31 computations (85.9% saved)
ival-log: 58.0ms (33.6% of total)adjust: 26.0ms (15.1% of total)ival-div: 25.0ms (14.5% of total)ival-pow2: 22.0ms (12.8% of total)ival-add: 13.0ms (7.5% of total)ival-sub: 10.0ms (5.8% of total)ival-log1p: 9.0ms (5.2% of total)const: 7.0ms (4.1% of total)ival-mult: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log 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)) N) #s(literal -1 binary64)) 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)) N) #s(literal -1 binary64)) N) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
(/.f64 #s(literal 1 binary64) N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))) |
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)) |
(+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) |
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(log1p.f64 N) |
(log.f64 N) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) |
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) N) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) |
| Outputs |
|---|
(* -1 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(/ -1/4 (pow N 4)) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/ -1/4 (pow N 3)) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/ 1 N) |
(/ 1/3 (pow N 3)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 3)) |
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3)) |
(/ 1/3 N) |
(/ (+ 1/3 (* -1/2 N)) N) |
(/ (+ 1/3 (* N (- N 1/2))) 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)))) |
(log N) |
(/ (pow N 2) (log N)) |
(* (pow N 2) (+ (* -1 (* N (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))) |
(* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 11/12 (/ 1 (log N)))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))) |
(* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (+ (* 11/12 (/ 1 (log N))) (* N (- (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))) (+ (* 5/6 (/ 1 (log N))) (* 11/12 (/ 1 (pow (log N) 2))))))))))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))) |
(pow N 2) |
(* (pow N 2) (+ 1 (* -1 N))) |
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1)))) |
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1)))) |
(/ -1/4 (pow N 2)) |
(/ (- (* 1/3 N) 1/4) (pow N 2)) |
(/ -1/4 N) |
(/ (- (* 1/3 N) 1/4) N) |
(pow (log N) 2) |
(+ (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 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
1 |
(- 1 (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) |
(/ -1/2 N) |
(/ (- (* 1/3 (/ 1 N)) 1/2) N) |
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N) |
(* N (- 1 (* 1/2 (/ 1 N)))) |
(* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))) |
-1/2 |
(- (* 1/3 (/ 1 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))) |
(/ (+ 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) |
(/ (- (+ 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) |
(* -1/2 (log (/ 1 N))) |
(+ (* -1/2 (log (/ 1 N))) (* 3/4 (/ 1 N))) |
(+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/8 (pow N 2)) (+ (* 3/4 (/ 1 N)) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) |
(- (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/8 (pow N 2)) (+ (* 3/4 (/ 1 N)) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 3/16 (* (pow N 3) (log (/ 1 N)))) (* 1/12 (/ 1 (pow N 3)))))) |
(pow (log (/ 1 N)) 2) |
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2)) |
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2)))) |
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3))) |
(/ (- 1/3 (* 1/4 (/ 1 N))) N) |
1/3 |
(- 1/3 (* 1/4 (/ 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 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)) |
(* -1 (* N (- (* 1/2 (/ 1 N)) 1))) |
(* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1))) |
(+ (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)))) |
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) |
(* -1 (/ (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N))) N)) |
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(* -1 (/ (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 5))) (+ (* -2/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* 1/2 (/ (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* 11/12 (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))))) (+ (* -1 (/ (- (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1/2 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1/2 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/3 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))) N)) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4))) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) N)) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N))) N)) |
(/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) |
(+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) |
(+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) |
(+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1/2 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) N)) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) |
(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 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) |
(+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N)) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | N | @ | -inf | ((- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ 1/3 N) (pow (log N) 2) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) |
| 19.0ms | N | @ | 0 | ((- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ 1/3 N) (pow (log N) 2) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) |
| 12.0ms | N | @ | inf | ((- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ 1/3 N) (pow (log N) 2) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 512 | 4577 |
| 1 | 1722 | 3642 |
| 2 | 7320 | 3505 |
| 0 | 8430 | 3401 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(/ -1/4 (pow N 4)) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/ -1/4 (pow N 3)) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/ 1 N) |
(/ 1/3 (pow N 3)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 3)) |
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3)) |
(/ 1/3 N) |
(/ (+ 1/3 (* -1/2 N)) N) |
(/ (+ 1/3 (* N (- N 1/2))) 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)))) |
(log N) |
(/ (pow N 2) (log N)) |
(* (pow N 2) (+ (* -1 (* N (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))) |
(* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 11/12 (/ 1 (log N)))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))) |
(* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (+ (* 11/12 (/ 1 (log N))) (* N (- (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))) (+ (* 5/6 (/ 1 (log N))) (* 11/12 (/ 1 (pow (log N) 2))))))))))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))) |
(pow N 2) |
(* (pow N 2) (+ 1 (* -1 N))) |
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1)))) |
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1)))) |
(/ -1/4 (pow N 2)) |
(/ (- (* 1/3 N) 1/4) (pow N 2)) |
(/ -1/4 N) |
(/ (- (* 1/3 N) 1/4) N) |
(pow (log N) 2) |
(+ (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 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
1 |
(- 1 (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) |
(/ -1/2 N) |
(/ (- (* 1/3 (/ 1 N)) 1/2) N) |
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N) |
(* N (- 1 (* 1/2 (/ 1 N)))) |
(* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))) |
-1/2 |
(- (* 1/3 (/ 1 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))) |
(/ (+ 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) |
(/ (- (+ 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) |
(* -1/2 (log (/ 1 N))) |
(+ (* -1/2 (log (/ 1 N))) (* 3/4 (/ 1 N))) |
(+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/8 (pow N 2)) (+ (* 3/4 (/ 1 N)) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) |
(- (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/8 (pow N 2)) (+ (* 3/4 (/ 1 N)) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 3/16 (* (pow N 3) (log (/ 1 N)))) (* 1/12 (/ 1 (pow N 3)))))) |
(pow (log (/ 1 N)) 2) |
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2)) |
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2)))) |
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3))) |
(/ (- 1/3 (* 1/4 (/ 1 N))) N) |
1/3 |
(- 1/3 (* 1/4 (/ 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 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)) |
(* -1 (* N (- (* 1/2 (/ 1 N)) 1))) |
(* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1))) |
(+ (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)))) |
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) |
(* -1 (/ (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N))) N)) |
(* -1 (/ (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4))) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) N)) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N))) N)) |
(* -1 (/ (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 5))) (+ (* -2/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* 1/2 (/ (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* 11/12 (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))))) (+ (* -1 (/ (- (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1/2 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1/2 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/3 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))) N)) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4))) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) N)) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N))) N)) |
(/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) |
(+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) |
(+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) |
(+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1/2 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) N)) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) |
(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 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) |
(+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N)) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) |
| Outputs |
|---|
(* -1 (log N)) |
(neg.f64 (log.f64 N)) |
(- N (log N)) |
(-.f64 N (log.f64 N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)) |
(/ -1/4 (pow N 4)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
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(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/3 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 -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))))) (fma.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))))) (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))))) #s(literal -1/2 binary64) (neg.f64 (-.f64 (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))))) (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))))) (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))))) (*.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))))) N) #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))))) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))))) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)))))) N) #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))))) (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))))) N) #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 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)) |
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) N) #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) |
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (neg.f64 N))) N) #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))) |
(+ (* -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)) |
(fma.f64 (/.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 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64)) N)) N)) N) #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))) |
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) |
(+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) |
(fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)) N)) #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) N) (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) N) #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))) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)))) N) #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N)) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) |
(fma.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) N) (/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 4 binary64))))) N)) N) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) N) (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) N) #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))) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)))))) N) #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 191 |
| 0 | 59 | 169 |
| 1 | 255 | 169 |
| 0 | 1902 | 169 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) 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)) N) #s(literal -1 binary64)) N) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
(/.f64 #s(literal 1 binary64) N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))) |
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)) |
(+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) |
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(log1p.f64 N) |
(log.f64 N) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) |
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) N) |
(pow.f64 (log.f64 N) #s(literal 2 binary64)) |
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) |
| Outputs |
|---|
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(/.f64 (-.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
(*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (-.f64 (log.f64 N) (log1p.f64 N))) |
(*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) |
(*.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))) |
(/.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))) |
(neg.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))) |
(*.f64 (neg.f64 (log1p.f64 N)) (neg.f64 (log1p.f64 N))) |
(*.f64 (fabs.f64 (log1p.f64 N)) (fabs.f64 (log1p.f64 N))) |
(*.f64 (exp.f64 (log.f64 (log1p.f64 N))) (exp.f64 (log.f64 (log1p.f64 N)))) |
(*.f64 (log1p.f64 N) (log1p.f64 N)) |
(pow.f64 (exp.f64 (log.f64 (log1p.f64 N))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) (log1p.f64 N))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 (/.f64 #s(literal -1/4 binary64) N) N)) (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 2 binary64))) (-.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 #s(literal 1/3 binary64) N))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 #s(literal 1/3 binary64) N))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))) (neg.f64 (neg.f64 N))) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) N) (neg.f64 N) (*.f64 N #s(literal -1/3 binary64))) (*.f64 (neg.f64 N) N)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) N) N (*.f64 N #s(literal 1/3 binary64))) (*.f64 N N)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)) |
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)) N)) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))) (neg.f64 N)) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) |
(neg.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))) N)) |
(neg.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (neg.f64 N))) |
(+.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 #s(literal 1/3 binary64) N)) |
(+.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 (/.f64 #s(literal -1/4 binary64) N) N)) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64))) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) |
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (/.f64 #s(literal -1/12 binary64) N)))) |
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (neg.f64 N)) #s(literal 1/3 binary64)) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)))) |
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) (/.f64 #s(literal 1/27 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)))) |
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) |
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 N)) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 N))) |
(/.f64 #s(literal 1/3 binary64) N) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) N)) |
(neg.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 N))) |
(*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) |
(*.f64 (fabs.f64 (log.f64 N)) (fabs.f64 (log.f64 N))) |
(*.f64 (exp.f64 (log.f64 (log.f64 N))) (exp.f64 (log.f64 (log.f64 N)))) |
(*.f64 (log.f64 N) (log.f64 N)) |
(pow.f64 (exp.f64 (log.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 (log.f64 N) #s(literal 2 binary64)) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64))) |
(log.f64 (pow.f64 N (log.f64 N))) |
(*.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (-.f64 (log.f64 N) (log1p.f64 N))) |
(*.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) |
(*.f64 (log.f64 N) (/.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))) |
(/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))) |
(neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))) |
Compiled 13 122 to 1 690 computations (87.1% saved)
25 alts after pruning (21 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 352 | 18 | 370 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 354 | 25 | 379 |
| Status | Accuracy | Program |
|---|---|---|
| 24.0% | (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) | |
| 24.0% | (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) | |
| 23.7% | (/.f64 (-.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) | |
| 24.0% | (-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))) | |
| ✓ | 24.0% | (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) |
| ▶ | 24.3% | (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log.f64 N) (/.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) |
| ✓ | 24.2% | (-.f64 (log1p.f64 N) (log.f64 N)) |
| 24.0% | (*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) | |
| ▶ | 26.8% | (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
| 96.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N))) N)) | |
| ▶ | 96.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
| ✓ | 96.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
| 95.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) | |
| 94.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N))) | |
| 96.0% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (*.f64 N #s(literal -1 binary64))) (*.f64 N N))) | |
| 92.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) | |
| ▶ | 92.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N))) |
| 94.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N))) | |
| 94.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)) (*.f64 N N))) | |
| ✓ | 84.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| 96.2% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))) | |
| ▶ | 94.9% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)))) |
| 94.9% | #s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 N (*.f64 N N)))) | |
| 95.8% | #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))) | |
| 94.8% | #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))) |
Compiled 1 190 to 753 computations (36.7% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log1p.f64 N) | |
| 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) (log1p.f64 N))) | |
| cost-diff | 6 | (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log.f64 N) (/.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) | |
| cost-diff | 0 | (-.f64 N #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 N #s(literal -1 binary64)) N) | |
| cost-diff | 2 | (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) N) | |
| cost-diff | 0 | (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N))) | |
| cost-diff | 0 | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)))) | |
| cost-diff | 2 | (/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) | |
| cost-diff | 0 | #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)) | |
| cost-diff | 0 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N))) | |
| cost-diff | 0 | (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) | |
| cost-diff | 0 | (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N) | |
| cost-diff | 0 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 295 |
| 0 | 73 | 289 |
| 1 | 116 | 283 |
| 2 | 223 | 278 |
| 3 | 483 | 277 |
| 4 | 1051 | 277 |
| 5 | 3835 | 277 |
| 6 | 7844 | 277 |
| 0 | 8031 | 275 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N) |
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) |
(/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) |
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) |
#s(literal 1/3 binary64) |
(/.f64 #s(literal -1/4 binary64) N) |
#s(literal -1/4 binary64) |
N |
(+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/2 binary64) N) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N))) |
(/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)) |
(+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) |
#s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
N |
(*.f64 N N) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) |
(/.f64 #s(literal 1/3 binary64) N) |
#s(literal 1/3 binary64) |
N |
(*.f64 N N) |
(/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)) |
(-.f64 #s(literal 1/2 binary64) N) |
#s(literal 1/2 binary64) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 N #s(literal -1 binary64)) N) |
(-.f64 N #s(literal -1 binary64)) |
N |
#s(literal -1 binary64) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log.f64 N) (/.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) |
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
(log1p.f64 N) |
N |
#s(literal 2 binary64) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
(log.f64 N) |
(*.f64 (log.f64 N) (/.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)) |
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N) |
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N) |
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) |
(-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) |
(/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) |
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) |
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) |
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(/.f64 #s(literal -1/4 binary64) N) |
#s(literal -1/4 binary64) |
N |
(+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/2 binary64) N) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) N)) |
(/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)) |
(/.f64 (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) N) |
(+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) |
#s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
N |
(*.f64 N N) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N))) |
(-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/.f64 #s(literal 1/3 binary64) N) |
#s(literal 1/3 binary64) |
N |
(*.f64 N N) |
(/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N) |
(-.f64 #s(literal 1/2 binary64) N) |
#s(literal 1/2 binary64) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
(/.f64 (-.f64 N #s(literal -1 binary64)) N) |
(-.f64 N #s(literal -1 binary64)) |
N |
#s(literal -1 binary64) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log.f64 N) (/.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) |
(/.f64 (fma.f64 (neg.f64 (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) |
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
(log1p.f64 N) |
N |
#s(literal 2 binary64) |
(+.f64 (log.f64 N) (log1p.f64 N)) |
(log.f64 N) |
(*.f64 (log.f64 N) (/.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) |
(*.f64 (/.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (log.f64 N)) |
(/.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.135097509768442 | (/.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) | |
| accuracy | 0.4609375 | (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) | |
| accuracy | 0.5185737793053261 | (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) | |
| accuracy | 48.1335999007646 | (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log.f64 N) (/.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) | |
| accuracy | 0.0 | (-.f64 N #s(literal -1 binary64)) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 N #s(literal -1 binary64)) N) | |
| accuracy | 46.93577015680256 | (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) | |
| accuracy | 0.26953125 | (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)) | |
| accuracy | 0.3515625 | (/.f64 #s(literal 1/3 binary64) N) | |
| accuracy | 0.35546875 | (/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) | |
| accuracy | 3.008698958536628 | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)))) | |
| accuracy | 0.00390625 | (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) | |
| accuracy | 0.30078125 | (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)) | |
| accuracy | 3.008698958536628 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N))) | |
| accuracy | 10.418530229179717 | #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) | |
| accuracy | 0.14453125 | (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) | |
| accuracy | 0.25 | (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) | |
| accuracy | 0.3203125 | (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) | |
| accuracy | 2.2930562533792593 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
| 152.0ms | 232× | 1 | valid |
| 6.0ms | 24× | 0 | valid |
Compiled 263 to 38 computations (85.6% saved)
adjust: 28.0ms (21.8% of total)ival-div: 28.0ms (21.8% of total)const: 18.0ms (14% of total)ival-log: 14.0ms (10.9% of total)ival-sub: 12.0ms (9.3% of total)ival-log1p: 9.0ms (7% of total)ival-add: 8.0ms (6.2% of total)ival-mult: 5.0ms (3.9% of total)ival-pow2: 4.0ms (3.1% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N) |
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) |
(/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N))) |
(/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)) |
(+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) |
#s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N))) |
(/.f64 #s(literal 1/3 binary64) N) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 N #s(literal -1 binary64)) N) |
(-.f64 N #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log.f64 N) (/.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) |
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
(log1p.f64 N) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) |
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)) |
(/.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) |
| Outputs |
|---|
(* -1 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(/ -1/4 (pow N 4)) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/ -1/4 (pow N 3)) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/ 1/3 (pow N 3)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 3)) |
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3)) |
(/ 1/3 N) |
(/ (+ 1/3 (* -1/2 N)) N) |
(/ (+ 1/3 (* N (- N 1/2))) 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 N) N) |
1 |
(+ 1 N) |
(/ (pow N 2) (log N)) |
(* (pow N 2) (+ (* -1 (* N (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))) |
(* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 11/12 (/ 1 (log N)))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))) |
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(* -1/2 (log (/ 1 N))) |
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(pow (log (/ 1 N)) 2) |
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2)) |
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(* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) |
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(/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) |
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(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) |
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(+ (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 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) |
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N)) |
(/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) |
(+ (* -1 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (/ (log -1) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) |
(+ (* -1 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (log -1) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) |
(+ (* -1 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) (* -1/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (log -1) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | N | @ | -inf | ((- (log (+ N 1)) (log N)) (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ (/ 1/3 N) (* N N)) (- (log (+ N 1)) (log N)) (- (/ (/ 1/3 N) (* N N)) (/ (- 1/2 N) (* N N))) (/ 1/3 N) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (log N) (/ (log N) (+ (log N) (log (+ 1 N)))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2) (log (+ 1 N)) (/ (+ 1/3 (/ -1/4 N)) N) (+ 1/3 (/ -1/4 N)) (/ (- 1/2 N) (* N N)) (/ (log N) (+ (log N) (log (+ 1 N))))) |
| 4.0ms | N | @ | inf | ((- (log (+ N 1)) (log N)) (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ (/ 1/3 N) (* N N)) (- (log (+ N 1)) (log N)) (- (/ (/ 1/3 N) (* N N)) (/ (- 1/2 N) (* N N))) (/ 1/3 N) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (log N) (/ (log N) (+ (log N) (log (+ 1 N)))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2) (log (+ 1 N)) (/ (+ 1/3 (/ -1/4 N)) N) (+ 1/3 (/ -1/4 N)) (/ (- 1/2 N) (* N N)) (/ (log N) (+ (log N) (log (+ 1 N))))) |
| 3.0ms | N | @ | 0 | ((- (log (+ N 1)) (log N)) (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ (/ 1/3 N) (* N N)) (- (log (+ N 1)) (log N)) (- (/ (/ 1/3 N) (* N N)) (/ (- 1/2 N) (* N N))) (/ 1/3 N) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (log N) (/ (log N) (+ (log N) (log (+ 1 N)))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2) (log (+ 1 N)) (/ (+ 1/3 (/ -1/4 N)) N) (+ 1/3 (/ -1/4 N)) (/ (- 1/2 N) (* N N)) (/ (log N) (+ (log N) (log (+ 1 N))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 545 | 4701 |
| 1 | 1859 | 3713 |
| 0 | 8138 | 3613 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (log N)) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(/ -1/4 (pow N 4)) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/ -1/4 (pow N 3)) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/ 1/3 (pow N 3)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 3)) |
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3)) |
(/ 1/3 N) |
(/ (+ 1/3 (* -1/2 N)) N) |
(/ (+ 1/3 (* N (- N 1/2))) 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 N) N) |
1 |
(+ 1 N) |
(/ (pow N 2) (log N)) |
(* (pow N 2) (+ (* -1 (* N (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))) |
(* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 11/12 (/ 1 (log N)))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))) |
(* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (+ (* 11/12 (/ 1 (log N))) (* N (- (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))) (+ (* 5/6 (/ 1 (log N))) (* 11/12 (/ 1 (pow (log N) 2))))))))))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))) |
(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)))) |
N |
(* N (+ 1 (* -1/2 N))) |
(* N (+ 1 (* N (- (* 1/3 N) 1/2)))) |
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2)))) |
(/ -1/4 (pow N 2)) |
(/ (- (* 1/3 N) 1/4) (pow N 2)) |
(/ -1/4 N) |
(/ (- (* 1/3 N) 1/4) N) |
(/ 1/2 (pow N 2)) |
(/ (+ 1/2 (* -1 N)) (pow N 2)) |
(+ 1 (* -1 (/ N (log N)))) |
(+ 1 (* N (- (* N (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2)))) (/ 1 (log N))))) |
(+ 1 (* N (- (* N (+ (* -1 (* N (+ (* 1/3 (/ 1 (log N))) (+ (/ 1 (pow (log N) 2)) (/ 1 (pow (log N) 3)))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(- 1 (* 1/2 (/ 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))))) |
(/ 1/3 (pow N 2)) |
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2)) |
(* N (- 1 (* 1/2 (/ 1 N)))) |
(* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))) |
-1/2 |
(- (* 1/3 (/ 1 N)) 1/2) |
(+ 1 (/ 1 N)) |
(* N (+ 1 (/ 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) |
(/ (- (+ 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) |
(* -1/2 (log (/ 1 N))) |
(+ (* -1/2 (log (/ 1 N))) (* 3/4 (/ 1 N))) |
(+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/8 (pow N 2)) (+ (* 3/4 (/ 1 N)) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) |
(- (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/8 (pow N 2)) (+ (* 3/4 (/ 1 N)) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 3/16 (* (pow N 3) (log (/ 1 N)))) (* 1/12 (/ 1 (pow N 3)))))) |
(pow (log (/ 1 N)) 2) |
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2)) |
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2)))) |
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3))) |
(* -1 (log (/ 1 N))) |
(+ (* -1 (log (/ 1 N))) (/ 1 N)) |
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))) |
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))) |
(/ (- 1/3 (* 1/4 (/ 1 N))) N) |
1/3 |
(- 1/3 (* 1/4 (/ 1 N))) |
(/ -1 N) |
(/ (- (* 1/2 (/ 1 N)) 1) N) |
1/2 |
(+ 1/2 (* 1/4 (/ 1 (* N (log (/ 1 N)))))) |
(- (+ 1/2 (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))))) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))) |
(- (+ 1/2 (+ (/ 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 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/16 (* (pow N 3) (pow (log (/ 1 N)) 2))) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(* -1 (* N (- (* 1/2 (/ 1 N)) 1))) |
(* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1))) |
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) |
(* -1 (/ (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N))) N)) |
(* -1 (/ (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4))) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) N)) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N))) N)) |
(* -1 (/ (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 5))) (+ (* -2/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* 1/2 (/ (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* 11/12 (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))))) (+ (* -1 (/ (- (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1/2 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1/2 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/3 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))) N)) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4))) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) N)) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N))) N)) |
(/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) |
(+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) |
(+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) |
(+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1/2 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) N)) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) |
(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)) |
(+ (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 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) |
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N)) |
(/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) |
(+ (* -1 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (/ (log -1) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) |
(+ (* -1 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (log -1) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) |
(+ (* -1 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) (* -1/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (log -1) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) |
| Outputs |
|---|
(* -1 (log N)) |
(neg.f64 (log.f64 N)) |
(- N (log N)) |
(-.f64 N (log.f64 N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)) |
(/ -1/4 (pow N 4)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ -1/4 (pow N 3)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ 1/3 (pow N 3)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/ (+ 1/3 (* -1/2 N)) (pow N 3)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3)) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ 1/3 N) |
(/.f64 #s(literal 1/3 binary64) N) |
(/ (+ 1/3 (* -1/2 N)) N) |
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) |
(/ (+ 1/3 (* N (- N 1/2))) N) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) |
(+ N (* -1 (log N))) |
(-.f64 N (log.f64 N)) |
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)) |
(/ 1 N) |
(/.f64 #s(literal 1 binary64) N) |
(/ (+ 1 N) N) |
(/.f64 (+.f64 #s(literal 1 binary64) N) N) |
1 |
#s(literal 1 binary64) |
(+ 1 N) |
(+.f64 #s(literal 1 binary64) N) |
(/ (pow N 2) (log N)) |
(*.f64 (/.f64 N (log.f64 N)) N) |
(* (pow N 2) (+ (* -1 (* N (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (+.f64 (/.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 N (log.f64 N)))) (*.f64 N N)) |
(* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 11/12 (/ 1 (log N)))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))) |
(fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -11/12 binary64) (log.f64 N))) N (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) N (/.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 N)))) (pow.f64 N #s(literal 3 binary64)) (*.f64 (/.f64 N (log.f64 N)) N)) |
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(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) N) #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) |
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (neg.f64 N))) N) #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))) |
(+ (* -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)) |
(fma.f64 (/.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64)) N)) N)) N) #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))) |
(+ (log -1) (* -1 (log (/ -1 N)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) N))) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)) |
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) N)) |
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) |
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (neg.f64 N)) |
(/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))))) |
(+ (* -1 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (/ (log -1) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) |
(fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.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) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))))) |
(+ (* -1 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (log -1) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) |
(fma.f64 (/.f64 (+.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 3 binary64)))) N)) N) #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))))) |
(+ (* -1 (/ (log (/ -1 N)) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) (* -1/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N)) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (log -1) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) N) (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) N) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 3 binary64))) (/.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) N) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 4 binary64)))))) (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 3 binary64))))) N) #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)))) N) #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 243 |
| 0 | 73 | 213 |
| 1 | 310 | 203 |
| 0 | 2655 | 198 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N) |
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) |
(/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N))) |
(/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)) |
(+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) |
#s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N))) |
(/.f64 #s(literal 1/3 binary64) N) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 N #s(literal -1 binary64)) N) |
(-.f64 N #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log.f64 N) (/.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) |
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) |
(pow.f64 (log1p.f64 N) #s(literal 2 binary64)) |
(log1p.f64 N) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) |
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)) |
(/.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)))) (neg.f64 (neg.f64 N))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) N) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) (*.f64 N N)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 2 binary64))) (*.f64 (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 2 binary64))) N)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))) (neg.f64 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)) N) #s(literal -1 binary64)) N) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))) N)) |
(neg.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (neg.f64 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)) N) N) (/.f64 #s(literal -1 binary64) N)) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)))) |
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(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N))) |
(+.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 #s(literal 1/3 binary64) N)) |
(+.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 (/.f64 #s(literal -1/4 binary64) N) N)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) N) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64))) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (/.f64 #s(literal -1/4 binary64) N) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) N) #s(literal 1/3 binary64)) |
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))) (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))) |
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (/.f64 #s(literal -1/4 binary64) N) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/4 binary64) N) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) |
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) N) (neg.f64 N)) (neg.f64 N)) |
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) N) (fabs.f64 N)) (fabs.f64 N)) |
(/.f64 (-.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 #s(literal 1 binary64) N))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 #s(literal 1 binary64) N))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 #s(literal 1 binary64) N))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) N) N)) (neg.f64 N)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) N))) (*.f64 N N)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 N N)) (pow.f64 N #s(literal 3 binary64))) (pow.f64 N #s(literal 4 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) N) N) N) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) (*.f64 N N))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal 3 binary64))) (*.f64 (fma.f64 N (+.f64 #s(literal 1/2 binary64) N) #s(literal 1/4 binary64)) (*.f64 N N))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) N)) (*.f64 (neg.f64 N) N)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 (neg.f64 N) N))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 #s(literal 1 binary64) N)) |
(*.f64 (/.f64 (log.f64 N) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (-.f64 (log.f64 N) (log1p.f64 N))) |
(*.f64 (/.f64 (log.f64 N) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 N) (log1p.f64 (/.f64 #s(literal 1 binary64) N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 N))) (neg.f64 (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))) |
(/.f64 (neg.f64 (log.f64 N)) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 N)) (+.f64 (log.f64 N) (log1p.f64 N)))) |
(neg.f64 (/.f64 (log.f64 N) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))) |
Compiled 15 030 to 1 950 computations (87% saved)
22 alts after pruning (18 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 397 | 12 | 409 |
| Fresh | 10 | 6 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 2 | 2 | 4 |
| Total | 412 | 22 | 434 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| ✓ | 26.8% | (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
| 92.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) N)) | |
| ✓ | 96.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
| 95.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) | |
| 94.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N))) | |
| 96.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)) | |
| 96.0% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (*.f64 N #s(literal -1 binary64))) (*.f64 N N))) | |
| ▶ | 94.7% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) (*.f64 N N)) (*.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1/2 binary64) N))) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)))) |
| 94.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) N) (*.f64 (*.f64 (neg.f64 N) N) (/.f64 (-.f64 #s(literal 1/2 binary64) N) N))) (*.f64 (*.f64 (neg.f64 N) N) N))) | |
| 94.7% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 N N)) (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1/2 binary64) N))) (*.f64 (pow.f64 N #s(literal 3 binary64)) (*.f64 N N)))) | |
| ▶ | 92.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
| ✓ | 92.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N))) |
| 92.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (-.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N)) (*.f64 (-.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))) | |
| ▶ | 94.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (fma.f64 N (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 N N))) |
| 94.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N))) | |
| 94.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)) (*.f64 N N))) | |
| ✓ | 84.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| 96.2% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))) | |
| 94.9% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 N) (*.f64 N N))) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)))) | |
| ▶ | 92.4% | #s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) (/.f64 #s(literal 1 binary64) N))) |
| 95.8% | #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))) |
Compiled 1 029 to 722 computations (29.8% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 3 | (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) (*.f64 N N)) (*.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1/2 binary64) N))) | |
| cost-diff | 3 | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) (*.f64 N N)) (*.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1/2 binary64) N))) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N))) | |
| cost-diff | 4 | (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)) | |
| cost-diff | 4 | (*.f64 (/.f64 #s(literal -1/3 binary64) N) (*.f64 N N)) | |
| cost-diff | 0 | #s(approx (+ (- (/ 1/3 N) 1/2) N) (fma.f64 N (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (fma.f64 N (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 N N)) | |
| cost-diff | 0 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (fma.f64 N (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 N N))) | |
| cost-diff | 3 | (fma.f64 N (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) | |
| cost-diff | 0 | #s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) (/.f64 #s(literal 1 binary64) N))) | |
| cost-diff | 2 | (+.f64 (/.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) (/.f64 #s(literal 1 binary64) N)) | |
| cost-diff | 0 | #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) | |
| cost-diff | 0 | (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N) | |
| cost-diff | 0 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) N) | |
| cost-diff | 0 | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 381 |
| 0 | 75 | 377 |
| 1 | 132 | 368 |
| 2 | 394 | 324 |
| 3 | 2040 | 321 |
| 4 | 6856 | 321 |
| 0 | 8671 | 310 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
(/.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
N |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N) |
(-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) |
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) |
(/.f64 #s(literal -1/2 binary64) N) |
#s(literal -1/2 binary64) |
N |
#s(literal -1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) (/.f64 #s(literal 1 binary64) N))) |
(+.f64 (/.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) (/.f64 #s(literal 1 binary64) N)) |
(/.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) |
(/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) |
#s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
N |
(/.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (fma.f64 N (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 N N))) |
(/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (fma.f64 N (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 N N)) |
#s(approx (+ (- (/ 1/3 N) 1/2) N) (fma.f64 N (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(fma.f64 N (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
N |
(+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) N) N) |
(/.f64 #s(literal 1/3 binary64) N) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(literal -1/2 binary64) |
(*.f64 N N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) (*.f64 N N)) (*.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1/2 binary64) N))) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) (*.f64 N N)) (*.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1/2 binary64) N))) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N))) |
(-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) (*.f64 N N)) (*.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1/2 binary64) N))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) N) (*.f64 N N)) |
(/.f64 #s(literal -1/3 binary64) N) |
#s(literal -1/3 binary64) |
N |
(*.f64 N N) |
(*.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1/2 binary64) N)) |
(*.f64 (neg.f64 N) N) |
(neg.f64 N) |
(-.f64 #s(literal 1/2 binary64) N) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)) |
| Outputs |
|---|
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
(/.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
N |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N) |
(-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) |
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) |
(/.f64 #s(literal -1/2 binary64) N) |
#s(literal -1/2 binary64) |
N |
#s(literal -1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) (/.f64 #s(literal 1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 N #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64))) (*.f64 N N))) |
(+.f64 (/.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) (/.f64 #s(literal 1 binary64) N)) |
(/.f64 (+.f64 N #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64))) (*.f64 N N)) |
(/.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) |
(/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) |
#s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
N |
(/.f64 #s(literal 1 binary64) N) |
#s(literal 1 binary64) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (fma.f64 N (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (-.f64 (-.f64 N (/.f64 #s(literal -1/3 binary64) N)) #s(literal 1/2 binary64))) (*.f64 N N))) |
(/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (fma.f64 N (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 N N)) |
(/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (-.f64 (-.f64 N (/.f64 #s(literal -1/3 binary64) N)) #s(literal 1/2 binary64))) (*.f64 N N)) |
#s(approx (+ (- (/ 1/3 N) 1/2) N) (fma.f64 N (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
#s(approx (+ (- (/ 1/3 N) 1/2) N) (-.f64 (-.f64 N (/.f64 #s(literal -1/3 binary64) N)) #s(literal 1/2 binary64))) |
(fma.f64 N (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
(-.f64 (-.f64 N (/.f64 #s(literal -1/3 binary64) N)) #s(literal 1/2 binary64)) |
N |
(+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) |
(/.f64 (-.f64 N (/.f64 #s(literal -1/3 binary64) N)) N) |
(/.f64 (/.f64 #s(literal 1/3 binary64) N) N) |
(/.f64 #s(literal 1/3 binary64) (*.f64 N N)) |
(/.f64 #s(literal 1/3 binary64) N) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(literal -1/2 binary64) |
(*.f64 N N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) (*.f64 N N)) (*.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1/2 binary64) N))) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) (*.f64 N N)) (*.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1/2 binary64) N))) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N))) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) (*.f64 N N)) (*.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1/2 binary64) N))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) N) N #s(literal -1/3 binary64)) N) |
(*.f64 (/.f64 #s(literal -1/3 binary64) N) (*.f64 N N)) |
(*.f64 #s(literal -1/3 binary64) N) |
(/.f64 #s(literal -1/3 binary64) N) |
#s(literal -1/3 binary64) |
N |
(*.f64 N N) |
(*.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1/2 binary64) N)) |
(*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) |
(*.f64 (neg.f64 N) N) |
(neg.f64 N) |
(-.f64 #s(literal 1/2 binary64) N) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)) |
(neg.f64 (pow.f64 N #s(literal 4 binary64))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3515625 | (/.f64 #s(literal -1/3 binary64) N) | |
| accuracy | 0.35546875 | (*.f64 (/.f64 #s(literal -1/3 binary64) N) (*.f64 N N)) | |
| accuracy | 0.5576362793053261 | (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)) | |
| accuracy | 3.008698958536628 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) (*.f64 N N)) (*.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1/2 binary64) N))) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)))) | |
| accuracy | 0.2109375 | (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) | |
| accuracy | 0.30078125 | (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (fma.f64 N (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 N N)) | |
| accuracy | 0.3515625 | (/.f64 #s(literal 1/3 binary64) N) | |
| accuracy | 3.008698958536628 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (fma.f64 N (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 N N))) | |
| accuracy | 0.13671875 | (+.f64 (/.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) (/.f64 #s(literal 1 binary64) N)) | |
| accuracy | 0.2265625 | (/.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) | |
| accuracy | 3.008698958536628 | #s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) (/.f64 #s(literal 1 binary64) N))) | |
| accuracy | 10.418530229179717 | #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) | |
| accuracy | 0.0 | (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) | |
| accuracy | 0.06640625 | (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N) | |
| accuracy | 2.2930562533792593 | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) | |
| accuracy | 10.197268305633802 | #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) N) | |
| accuracy | 0.1328125 | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| 165.0ms | 228× | 1 | valid |
| 8.0ms | 28× | 0 | valid |
Compiled 259 to 44 computations (83% saved)
ival-div: 32.0ms (25.5% of total)adjust: 31.0ms (24.7% of total)ival-mult: 13.0ms (10.3% of total)ival-sub: 11.0ms (8.8% of total)ival-log1p: 11.0ms (8.8% of total)const: 10.0ms (8% of total)ival-add: 10.0ms (8% of total)ival-log: 6.0ms (4.8% of total)exact: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
(/.f64 #s(literal 1 binary64) N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N) |
(-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) |
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) |
(+.f64 (/.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) (/.f64 #s(literal 1 binary64) N))) |
(/.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) |
(/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) |
(fma.f64 N (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (fma.f64 N (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 N N))) |
(/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (fma.f64 N (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 N N)) |
#s(approx (+ (- (/ 1/3 N) 1/2) N) (fma.f64 N (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) N) (*.f64 N N)) |
(*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) (*.f64 N N)) (*.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1/2 binary64) N))) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N))) |
(-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) (*.f64 N N)) (*.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1/2 binary64) N))) |
#s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1/3 binary64) N) |
(/.f64 (/.f64 #s(literal 1/3 binary64) N) N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) (*.f64 N N)) (*.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1/2 binary64) N))) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)))) |
(/.f64 #s(literal -1/3 binary64) N) |
| Outputs |
|---|
(* -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) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(/ -1/4 (pow N 4)) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/ -1/4 (pow N 3)) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/ 1/3 (pow N 3)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 3)) |
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3)) |
(/ 1/3 (pow N 2)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 2)) |
(/ 1/3 N) |
(/ (+ 1/3 (* -1/2 N)) N) |
(/ (+ 1/3 (* N (- N 1/2))) N) |
(* -1/3 N) |
(* -1 (pow N 4)) |
(* N (- (* 1/2 N) 1/3)) |
(* N (- (* N (+ 1/2 (* -1 N))) 1/3)) |
(/ -1/3 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
1 |
(- 1 (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) |
(/ -1/2 N) |
(/ (- (* 1/3 (/ 1 N)) 1/2) N) |
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N) |
(/ -1/2 (pow N 2)) |
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2)) |
N |
(* N (- 1 (* 1/2 (/ 1 N)))) |
(* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))) |
(* -1 (pow N 3)) |
(* (pow N 3) (- (* 1/2 (/ 1 N)) 1)) |
(* (pow N 3) (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))) |
-1/2 |
(- (* 1/3 (/ 1 N)) 1/2) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)) |
(* -1 (* N (- (* 1/2 (/ 1 N)) 1))) |
(* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1))) |
(* -1 (* (pow N 3) (- 1 (* 1/2 (/ 1 N))))) |
(* -1 (* (pow N 3) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | N | @ | 0 | ((log (+ 1 (/ 1 N))) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (+ (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ 1 N)) (- (log (+ N 1)) (log N)) (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ (- (/ 1/3 N) 1/2) N) (+ (* N (+ (/ (/ 1/3 N) N) 1)) -1/2) (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (* (/ -1/3 N) (* N N)) (* (* (neg N) N) (* N N)) (/ (- (* (/ -1/3 N) (* N N)) (* (* (neg N) N) (- 1/2 N))) (* (* (neg N) N) (* N N))) (- (* (/ -1/3 N) (* N N)) (* (* (neg N) N) (- 1/2 N))) (- (/ 1/3 N) 1/2) (/ 1/3 N) (/ (/ 1/3 N) N) (- (log (+ N 1)) (log N)) (/ -1/3 N)) |
| 3.0ms | N | @ | -inf | ((log (+ 1 (/ 1 N))) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (+ (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ 1 N)) (- (log (+ N 1)) (log N)) (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ (- (/ 1/3 N) 1/2) N) (+ (* N (+ (/ (/ 1/3 N) N) 1)) -1/2) (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (* (/ -1/3 N) (* N N)) (* (* (neg N) N) (* N N)) (/ (- (* (/ -1/3 N) (* N N)) (* (* (neg N) N) (- 1/2 N))) (* (* (neg N) N) (* N N))) (- (* (/ -1/3 N) (* N N)) (* (* (neg N) N) (- 1/2 N))) (- (/ 1/3 N) 1/2) (/ 1/3 N) (/ (/ 1/3 N) N) (- (log (+ N 1)) (log N)) (/ -1/3 N)) |
| 2.0ms | N | @ | inf | ((log (+ 1 (/ 1 N))) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (+ (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ 1 N)) (- (log (+ N 1)) (log N)) (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ (- (/ 1/3 N) 1/2) N) (+ (* N (+ (/ (/ 1/3 N) N) 1)) -1/2) (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (* (/ -1/3 N) (* N N)) (* (* (neg N) N) (* N N)) (/ (- (* (/ -1/3 N) (* N N)) (* (* (neg N) N) (- 1/2 N))) (* (* (neg N) N) (* N N))) (- (* (/ -1/3 N) (* N N)) (* (* (neg N) N) (- 1/2 N))) (- (/ 1/3 N) 1/2) (/ 1/3 N) (/ (/ 1/3 N) N) (- (log (+ N 1)) (log N)) (/ -1/3 N)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 131 | 513 |
| 1 | 369 | 492 |
| 2 | 1148 | 452 |
| 3 | 5231 | 452 |
| 0 | 8462 | 429 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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) |
(- N (log N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(/ -1/4 (pow N 4)) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/ -1/4 (pow N 3)) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(/ 1/3 (pow N 3)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 3)) |
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3)) |
(/ 1/3 (pow N 2)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 2)) |
(/ 1/3 N) |
(/ (+ 1/3 (* -1/2 N)) N) |
(/ (+ 1/3 (* N (- N 1/2))) N) |
(* -1/3 N) |
(* -1 (pow N 4)) |
(* N (- (* 1/2 N) 1/3)) |
(* N (- (* N (+ 1/2 (* -1 N))) 1/3)) |
(/ -1/3 N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
1 |
(- 1 (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) |
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) |
(/ -1/2 N) |
(/ (- (* 1/3 (/ 1 N)) 1/2) N) |
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N) |
(/ -1/2 (pow N 2)) |
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2)) |
N |
(* N (- 1 (* 1/2 (/ 1 N)))) |
(* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))) |
(* -1 (pow N 3)) |
(* (pow N 3) (- (* 1/2 (/ 1 N)) 1)) |
(* (pow N 3) (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))) |
-1/2 |
(- (* 1/3 (/ 1 N)) 1/2) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)) |
(* -1 (* N (- (* 1/2 (/ 1 N)) 1))) |
(* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1))) |
(* -1 (* (pow N 3) (- 1 (* 1/2 (/ 1 N))))) |
(* -1 (* (pow N 3) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))) |
| Outputs |
|---|
(* -1 (log N)) |
(neg.f64 (log.f64 N)) |
(+ N (* -1 (log N))) |
(-.f64 N (log.f64 N)) |
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) N) N (-.f64 N (log.f64 N))) |
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N) N (-.f64 N (log.f64 N))) |
(/ 1 N) |
(/.f64 #s(literal 1 binary64) N) |
(- N (log N)) |
(-.f64 N (log.f64 N)) |
(- (* N (+ 1 (* -1/2 N))) (log N)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) N) N (-.f64 N (log.f64 N))) |
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N) N (-.f64 N (log.f64 N))) |
(/ -1/4 (pow N 4)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* 1/3 N) 1/4) (pow N 4)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) |
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))) |
(/ -1/4 (pow N 3)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* 1/3 N) 1/4) (pow N 3)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) |
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) |
(-.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)) |
(/ 1/3 (pow N 3)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) |
(/ (+ 1/3 (* -1/2 N)) (pow N 3)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3)) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ 1/3 (pow N 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 N N)) |
(/ (+ 1/3 (* -1/2 N)) (pow N 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) |
(/ 1/3 N) |
(/.f64 #s(literal 1/3 binary64) N) |
(/ (+ 1/3 (* -1/2 N)) N) |
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) |
(/ (+ 1/3 (* N (- N 1/2))) N) |
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1/2 binary64)) |
(* -1/3 N) |
(*.f64 #s(literal -1/3 binary64) N) |
(* -1 (pow N 4)) |
(neg.f64 (pow.f64 N #s(literal 4 binary64))) |
(* N (- (* 1/2 N) 1/3)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64)) N) |
(* N (- (* N (+ 1/2 (* -1 N))) 1/3)) |
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) N) N #s(literal -1/3 binary64)) N) |
(/ -1/3 N) |
(/.f64 #s(literal -1/3 binary64) N) |
(/ (- 1 (* 1/2 (/ 1 N))) N) |
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) |
(/.f64 (+.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 #s(literal -1/4 binary64) N)) (pow.f64 N #s(literal 3 binary64))) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/2 (/ 1 N))) |
(/.f64 (-.f64 N #s(literal 1/2 binary64)) N) |
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) |
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) |
(-.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)) |
(/ -1/2 N) |
(/.f64 #s(literal -1/2 binary64) N) |
(/ (- (* 1/3 (/ 1 N)) 1/2) N) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) |
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) |
(/ -1/2 (pow N 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 N N)) |
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
N |
(* N (- 1 (* 1/2 (/ 1 N)))) |
(-.f64 N #s(literal 1/2 binary64)) |
(* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1/2 binary64)) |
(* -1 (pow N 3)) |
(pow.f64 (neg.f64 N) #s(literal 3 binary64)) |
(* (pow N 3) (- (* 1/2 (/ 1 N)) 1)) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) N) |
(* (pow N 3) (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) N) N #s(literal -1/3 binary64)) N) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/3 (/ 1 N)) 1/2) |
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) |
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) |
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) |
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) |
(/.f64 (+.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 #s(literal -1/4 binary64) N)) (pow.f64 N #s(literal 3 binary64))) |
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) N)) |
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) |
(* -1 (* N (- (* 1/2 (/ 1 N)) 1))) |
(-.f64 N #s(literal 1/2 binary64)) |
(* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1/2 binary64)) |
(* -1 (* (pow N 3) (- 1 (* 1/2 (/ 1 N))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) N) |
(* -1 (* (pow N 3) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) N) N #s(literal -1/3 binary64)) N) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 330 |
| 0 | 75 | 322 |
| 1 | 315 | 313 |
| 0 | 2647 | 306 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
(/.f64 #s(literal 1 binary64) N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N) |
(-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) |
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) |
(+.f64 (/.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) (/.f64 #s(literal 1 binary64) N))) |
(/.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) |
(/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) |
(fma.f64 N (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (fma.f64 N (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 N N))) |
(/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (fma.f64 N (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 N N)) |
#s(approx (+ (- (/ 1/3 N) 1/2) N) (fma.f64 N (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) N) (*.f64 N N)) |
(*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) (*.f64 N N)) (*.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1/2 binary64) N))) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N))) |
(-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) (*.f64 N N)) (*.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1/2 binary64) N))) |
#s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1/3 binary64) N) |
(/.f64 (/.f64 #s(literal 1/3 binary64) N) N) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) (*.f64 N N)) (*.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1/2 binary64) N))) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)))) |
(/.f64 #s(literal -1/3 binary64) N) |
| Outputs |
|---|
(log1p.f64 (pow.f64 N #s(literal -1 binary64))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))) |
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))))) |
(log.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N)) |
(*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) |
(pow.f64 N #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 N)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N))) |
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) N) |
(neg.f64 (/.f64 #s(literal -1 binary64) N)) |
(exp.f64 (*.f64 (log.f64 N) #s(literal -1 binary64))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) N) (/.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) N)) (pow.f64 N #s(literal -2 binary64))) (+.f64 (/.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) N) (/.f64 #s(literal -1 binary64) N))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) N) (/.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) N) (+.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 (/.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) N) (/.f64 #s(literal -1 binary64) N))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 N))) |
(/.f64 (-.f64 (*.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) N) (*.f64 N #s(literal -1 binary64))) (*.f64 N N)) |
(/.f64 (-.f64 (pow.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N))) N)) |
(/.f64 (-.f64 (pow.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N))) (pow.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal 2 binary64))) N)) |
(/.f64 (neg.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (neg.f64 N)) |
(/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) N)) |
(neg.f64 (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) (neg.f64 N))) |
(-.f64 (/.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) N) (/.f64 #s(literal -1 binary64) N)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N))) (pow.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)))) |
(/.f64 (-.f64 (pow.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N))) (pow.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N))))) |
(-.f64 (/.f64 (pow.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N))) (pow.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N))) (pow.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal 2 binary64))))) |
(-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) |
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) |
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(fma.f64 (*.f64 N N) (/.f64 #s(literal -1/3 binary64) N) (*.f64 N (*.f64 (-.f64 #s(literal 1/2 binary64) N) N))) |
(fma.f64 (*.f64 N N) (/.f64 #s(literal -1/3 binary64) N) (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) N)) (*.f64 (neg.f64 N) N))) |
(fma.f64 (*.f64 N N) (/.f64 #s(literal -1/3 binary64) N) (*.f64 (neg.f64 (neg.f64 N)) (*.f64 (-.f64 #s(literal 1/2 binary64) N) N))) |
(fma.f64 (*.f64 N N) (/.f64 #s(literal -1/3 binary64) N) (*.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N))) |
(fma.f64 N (*.f64 (/.f64 #s(literal -1/3 binary64) N) N) (*.f64 N (*.f64 (-.f64 #s(literal 1/2 binary64) N) N))) |
(fma.f64 N (*.f64 (/.f64 #s(literal -1/3 binary64) N) N) (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) N)) (*.f64 (neg.f64 N) N))) |
(fma.f64 N (*.f64 (/.f64 #s(literal -1/3 binary64) N) N) (*.f64 (neg.f64 (neg.f64 N)) (*.f64 (-.f64 #s(literal 1/2 binary64) N) N))) |
(fma.f64 N (*.f64 (/.f64 #s(literal -1/3 binary64) N) N) (*.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) N) N) #s(literal 2 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) (neg.f64 N) (*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) N) N))) (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) (neg.f64 N)) #s(literal 2 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) (neg.f64 N) (*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) N) N)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) N) N) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) (neg.f64 N)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) (neg.f64 N) (*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) N) N)) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) N) N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) (neg.f64 N)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) (neg.f64 N)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) (neg.f64 N) (*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) N) N)) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) N) N) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) N) N) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) (neg.f64 N))) |
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)) (*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) N) N)) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) N) N) (*.f64 N (*.f64 (-.f64 #s(literal 1/2 binary64) N) N))) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) N) N) (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) N)) (*.f64 (neg.f64 N) N))) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) N) N) (*.f64 (neg.f64 (neg.f64 N)) (*.f64 (-.f64 #s(literal 1/2 binary64) N) N))) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) N) N) (*.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N))) |
#s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 N)) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 N))) |
(/.f64 #s(literal 1/3 binary64) N) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) N)) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) N) N)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (fabs.f64 N)) (fabs.f64 N)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1 binary64)) (neg.f64 N)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1 binary64)) N) |
(/.f64 (/.f64 #s(literal -1/3 binary64) N) (neg.f64 N)) |
(/.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 N) N)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) N) (neg.f64 (neg.f64 N))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) N) N) |
(/.f64 #s(literal 1/3 binary64) (*.f64 N N)) |
(neg.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (neg.f64 N))) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 N N))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) N) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) N) N (*.f64 N (*.f64 (-.f64 #s(literal 1/2 binary64) N) N))) (neg.f64 (pow.f64 N #s(literal 3 binary64)))) N)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 N))) |
(/.f64 #s(literal -1/3 binary64) N) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 N)) |
(neg.f64 (/.f64 #s(literal 1/3 binary64) N)) |
Compiled 10 141 to 1 199 computations (88.2% saved)
26 alts after pruning (20 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 297 | 8 | 305 |
| Fresh | 1 | 12 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 301 | 26 | 327 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
| 99.2% | (log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))) | |
| 95.2% | (log1p.f64 (exp.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)))) | |
| ✓ | 26.8% | (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
| 92.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) (neg.f64 N) (*.f64 (*.f64 N N) #s(literal -1 binary64))) (*.f64 (*.f64 N N) (neg.f64 N)))) | |
| 92.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) N)) | |
| ✓ | 96.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
| 95.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) | |
| 94.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N))) | |
| 96.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)) | |
| 96.0% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (*.f64 N #s(literal -1 binary64))) (*.f64 N N))) | |
| 94.7% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 N N)) (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1/2 binary64) N))) (*.f64 (pow.f64 N #s(literal 3 binary64)) (*.f64 N N)))) | |
| ✓ | 92.5% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
| 94.7% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ -1/3 N) (* N N)) (*.f64 #s(literal -1/3 binary64) N)) (*.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1/2 binary64) N))) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)))) | |
| ✓ | 92.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N))) |
| 92.2% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (-.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N)) (*.f64 (-.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))) | |
| 94.7% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ -1/3 N) (* N N)) (* (* (neg N) N) (- 1/2 N))) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) N) N #s(literal -1/3 binary64)) N)) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)))) | |
| 92.0% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ -1/3 N) (* N N)) (* (* (neg N) N) (- 1/2 N))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) N)) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)))) | |
| 94.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (fma.f64 N (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 N N))) | |
| 94.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N))) | |
| 94.9% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)) (*.f64 N N))) | |
| ✓ | 84.3% | #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| 96.2% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))) | |
| 94.9% | #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 N) (*.f64 N N))) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)))) | |
| 92.4% | #s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))) | |
| 95.8% | #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))) |
Compiled 1 853 to 726 computations (60.8% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) N)) |
#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (-.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N)) (*.f64 (-.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) (/.f64 #s(literal 1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (fma.f64 N (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ -1/3 N) (* N N)) (* (* (neg N) N) (- 1/2 N))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) N)) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) (neg.f64 N) (*.f64 (*.f64 N N) #s(literal -1 binary64))) (*.f64 (*.f64 N N) (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ -1/3 N) (* N N)) (* (* (neg N) N) (- 1/2 N))) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) N) N #s(literal -1/3 binary64)) N)) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 N) (*.f64 N N))) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (fma.f64 N (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ -1/3 N) (* N N)) (*.f64 #s(literal -1/3 binary64) N)) (*.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1/2 binary64) N))) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 N (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) (*.f64 N N)) (*.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1/2 binary64) N))) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) N) (*.f64 (*.f64 (neg.f64 N) N) (/.f64 (-.f64 #s(literal 1/2 binary64) N) N))) (*.f64 (*.f64 (neg.f64 N) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (*.f64 N #s(literal -1 binary64))) (*.f64 N N))) |
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))) |
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 N N)) (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1/2 binary64) N))) (*.f64 (pow.f64 N #s(literal 3 binary64)) (*.f64 N N)))) |
(log1p.f64 (exp.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)))) |
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log.f64 N) (/.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))) |
| Outputs |
|---|
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
2 calls:
| 13.0ms | N |
| 9.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 99.8% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) N)) |
#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (-.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N)) (*.f64 (-.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) (/.f64 #s(literal 1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (fma.f64 N (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ -1/3 N) (* N N)) (* (* (neg N) N) (- 1/2 N))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) N)) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) (neg.f64 N) (*.f64 (*.f64 N N) #s(literal -1 binary64))) (*.f64 (*.f64 N N) (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ -1/3 N) (* N N)) (* (* (neg N) N) (- 1/2 N))) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) N) N #s(literal -1/3 binary64)) N)) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 N) (*.f64 N N))) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (fma.f64 N (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ -1/3 N) (* N N)) (*.f64 #s(literal -1/3 binary64) N)) (*.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1/2 binary64) N))) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 N (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) (*.f64 N N)) (*.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1/2 binary64) N))) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) N) N) (*.f64 (*.f64 (neg.f64 N) N) (/.f64 (-.f64 #s(literal 1/2 binary64) N) N))) (*.f64 (*.f64 (neg.f64 N) N) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (*.f64 N #s(literal -1 binary64))) (*.f64 N N))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
2 calls:
| 7.0ms | N |
| 7.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 96.3% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) N)) |
#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (-.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N)) (*.f64 (-.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) (/.f64 #s(literal 1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (fma.f64 N (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ -1/3 N) (* N N)) (* (* (neg N) N) (- 1/2 N))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) N)) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) (neg.f64 N) (*.f64 (*.f64 N N) #s(literal -1 binary64))) (*.f64 (*.f64 N N) (neg.f64 N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ -1/3 N) (* N N)) (* (* (neg N) N) (- 1/2 N))) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) N) N #s(literal -1/3 binary64)) N)) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 N) (*.f64 N N))) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (fma.f64 N (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ -1/3 N) (* N N)) (*.f64 #s(literal -1/3 binary64) N)) (*.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1/2 binary64) N))) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
2 calls:
| 5.0ms | N |
| 4.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.2% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 95.2% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) N)) |
#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (-.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N)) (*.f64 (-.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) (/.f64 #s(literal 1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N))) |
2 calls:
| 3.0ms | N |
| 3.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 94.9% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) N)) |
#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (-.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N)) (*.f64 (-.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))) |
#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) (/.f64 #s(literal 1 binary64) N))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))) |
2 calls:
| 32.0ms | N |
| 2.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 94.9% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) N)) |
#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
2 calls:
| 2.0ms | N |
| 2.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 92.5% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N))) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))) |
2 calls:
| 2.0ms | N |
| 1.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.3% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 92.3% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| Outputs |
|---|
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
2 calls:
| 1.0ms | N |
| 1.0ms | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.3% | 1 | (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) |
| 84.3% | 1 | N |
Compiled 8 to 7 computations (12.5% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 152 |
| 1 | 78 | 152 |
| 2 | 97 | 152 |
| 3 | 130 | 152 |
| 4 | 202 | 152 |
| 5 | 484 | 152 |
| 6 | 2767 | 152 |
| 7 | 6880 | 152 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| Outputs |
|---|
(log1p.f64 (/.f64 #s(literal 1 binary64) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))) |
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) |
| 1× | fuel |
Compiled 152 to 61 computations (59.9% saved)
Compiled 372 to 172 computations (53.8% saved)
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