
Time bar (total: 5.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 23.7% | 76.3% | 0% | 0% | 0% | 0 |
| 100% | 23.7% | 0% | 76.3% | 0% | 0% | 0% | 1 |
Compiled 19 to 12 computations (36.8% saved)
| 3.4s | 8 256× | 1 | valid |
ival-log: 1.2s (40.4% of total)ival-log1p: 640.0ms (22% of total)adjust: 422.0ms (14.5% of total)ival-sub: 283.0ms (9.7% of total)ival-mult: 228.0ms (7.8% of total)ival-add: 100.0ms (3.4% of total)ival->: 47.0ms (1.6% of total)exact: 11.0ms (0.4% of total)ival-assert: 4.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 256 | 0 | - | 0 | - | (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) |
| 0 | 0 | - | 0 | - | n |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 n #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (log.f64 n) |
| 0 | 0 | - | 0 | - | (-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 n (log.f64 n)) |
| 0 | 0 | - | 0 | - | (log.f64 (+.f64 n #s(literal 1 binary64))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) | cancellation | 254 | 0 |
-.f64 | (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) | nan-rescue | 2 | 0 |
| ↳ | (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) | overflow | 2 | |
| ↳ | (*.f64 n (log.f64 n)) | overflow | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 256 | 0 |
| - | 0 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 256 | 0 | 0 |
| - | 0 | 0 | 0 |
| number | freq |
|---|---|
| 1 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 179.0ms | 512× | 1 | valid |
Compiled 121 to 31 computations (74.4% saved)
ival-log1p: 62.0ms (39.7% of total)ival-log: 42.0ms (26.9% of total)adjust: 22.0ms (14.1% of total)ival-mult: 14.0ms (9% of total)ival-sub: 9.0ms (5.8% of total)ival-add: 6.0ms (3.8% 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 | 11 | 37 |
| 1 | 24 | 37 |
| 2 | 52 | 37 |
| 3 | 177 | 35 |
| 4 | 548 | 34 |
| 5 | 2188 | 32 |
| 6 | 6391 | 32 |
| 0 | 9 | 15 |
| 0 | 16 | 15 |
| 1 | 26 | 15 |
| 2 | 49 | 15 |
| 3 | 185 | 15 |
| 4 | 547 | 15 |
| 5 | 2107 | 15 |
| 6 | 7813 | 15 |
| 0 | 8123 | 11 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (log1p.f64 n) (log.f64 n)) n (-.f64 (log1p.f64 n) #s(literal 1 binary64))) |
Compiled 15 to 9 computations (40% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 1.5% | (-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64)) |
Compiled 15 to 9 computations (40% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64)) | |
| cost-diff | 2 | (log.f64 (+.f64 n #s(literal 1 binary64))) | |
| cost-diff | 2 | (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 51 |
| 0 | 16 | 51 |
| 1 | 26 | 51 |
| 2 | 49 | 51 |
| 3 | 185 | 51 |
| 4 | 547 | 51 |
| 5 | 2107 | 51 |
| 6 | 7813 | 51 |
| 0 | 8123 | 39 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) |
(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) |
(+.f64 n #s(literal 1 binary64)) |
n |
#s(literal 1 binary64) |
(log.f64 (+.f64 n #s(literal 1 binary64))) |
(*.f64 n (log.f64 n)) |
(log.f64 n) |
| Outputs |
|---|
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (log1p.f64 n) (log.f64 n)) n (-.f64 (log1p.f64 n) #s(literal 1 binary64))) |
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) |
(fma.f64 (-.f64 (log1p.f64 n) (log.f64 n)) n (log1p.f64 n)) |
(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) |
(fma.f64 (log1p.f64 n) n (log1p.f64 n)) |
(+.f64 n #s(literal 1 binary64)) |
(-.f64 n #s(literal -1 binary64)) |
n |
#s(literal 1 binary64) |
(log.f64 (+.f64 n #s(literal 1 binary64))) |
(log1p.f64 n) |
(*.f64 n (log.f64 n)) |
(*.f64 (log.f64 n) n) |
(log.f64 n) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64)) | |
| accuracy | 0.3125 | (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) | |
| accuracy | 0.3125 | (*.f64 n (log.f64 n)) | |
| accuracy | 62.00987132182244 | (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) |
| 135.0ms | 256× | 1 | valid |
Compiled 53 to 11 computations (79.2% saved)
ival-log: 53.0ms (51.3% of total)ival-log1p: 19.0ms (18.4% of total)adjust: 11.0ms (10.6% of total)ival-mult: 11.0ms (10.6% of total)ival-sub: 5.0ms (4.8% of total)ival-add: 3.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) |
(log.f64 (+.f64 n #s(literal 1 binary64))) |
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64)) |
(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) |
(*.f64 n (log.f64 n)) |
| Outputs |
|---|
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- 1 (log n))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- (+ 1 (* 1/2 n)) (log n))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))) (log n))))) |
#s(approx (log (+ n 1)) #s(hole binary64 n)) |
#s(approx (log (+ n 1)) #s(hole binary64 (* n (+ 1 (* -1/2 n))))) |
#s(approx (log (+ n 1)) #s(hole binary64 (* n (+ 1 (* n (- (* 1/3 n) 1/2)))))) |
#s(approx (log (+ n 1)) #s(hole binary64 (* n (+ 1 (* n (- (* n (+ 1/3 (* -1/4 n))) 1/2)))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 -1)) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- 1 (log n))) 1))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* 1/2 n)) (log n))) 1))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 n)) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ 1 (* 1/2 n))))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ 1 (* n (+ 1/2 (* -1/6 n))))))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6)))))))) |
#s(approx (* n (log n)) #s(hole binary64 (* n (log n)))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (* -1 (log (/ 1 n)))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (- (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))) (/ 1/6 (pow n 2))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (- (+ 1 (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3)))))) (/ 1/6 (pow n 2))))) |
#s(approx (log (+ n 1)) #s(hole binary64 (* -1 (log (/ 1 n))))) |
#s(approx (log (+ n 1)) #s(hole binary64 (+ (* -1 (log (/ 1 n))) (/ 1 n)))) |
#s(approx (log (+ n 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (/ 1 n)) (/ 1/2 (pow n 2))))) |
#s(approx (log (+ n 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (+ (/ 1 n) (* 1/3 (/ 1 (pow n 3))))) (/ 1/2 (pow n 2))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (* -1 (log (/ 1 n))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2))))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (log (/ 1 n)))))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (/ 1 n)))))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n))))))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (- (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n)))) (* 1/6 (/ 1 (pow n 3))))))) |
#s(approx (* n (log n)) #s(hole binary64 (* -1 (* n (log (/ 1 n)))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n))))))) |
#s(approx (log (+ n 1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n)))))) |
#s(approx (log (+ n 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (/ 1 n))))) |
#s(approx (log (+ n 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/2 (/ 1 n)) 1) n)))))) |
#s(approx (log (+ n 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 n)) 1/2) n)) 1) n)))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n)))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n)))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n)))))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ (log -1) (* -1 (log (/ -1 n))))))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n))))))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))) n))))))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))) n))))))) |
#s(approx (* n (log n)) #s(hole binary64 (* n (+ (log -1) (* -1 (log (/ -1 n))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | n | @ | 0 | ((- (* (+ n 1) (log (+ n 1))) (* n (log n))) (log (+ n 1)) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (* (+ n 1) (log (+ n 1))) (* n (log n))) |
| 31.0ms | n | @ | inf | ((- (* (+ n 1) (log (+ n 1))) (* n (log n))) (log (+ n 1)) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (* (+ n 1) (log (+ n 1))) (* n (log n))) |
| 12.0ms | n | @ | -inf | ((- (* (+ n 1) (log (+ n 1))) (* n (log n))) (log (+ n 1)) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (* (+ n 1) (log (+ n 1))) (* n (log n))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 210 | 1221 |
| 1 | 579 | 1147 |
| 2 | 1955 | 1115 |
| 0 | 8362 | 978 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- 1 (log n))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- (+ 1 (* 1/2 n)) (log n))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))) (log n))))) |
#s(approx (log (+ n 1)) #s(hole binary64 n)) |
#s(approx (log (+ n 1)) #s(hole binary64 (* n (+ 1 (* -1/2 n))))) |
#s(approx (log (+ n 1)) #s(hole binary64 (* n (+ 1 (* n (- (* 1/3 n) 1/2)))))) |
#s(approx (log (+ n 1)) #s(hole binary64 (* n (+ 1 (* n (- (* n (+ 1/3 (* -1/4 n))) 1/2)))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 -1)) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- 1 (log n))) 1))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* 1/2 n)) (log n))) 1))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 n)) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ 1 (* 1/2 n))))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ 1 (* n (+ 1/2 (* -1/6 n))))))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6)))))))) |
#s(approx (* n (log n)) #s(hole binary64 (* n (log n)))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (* -1 (log (/ 1 n)))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (- (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))) (/ 1/6 (pow n 2))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (- (+ 1 (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3)))))) (/ 1/6 (pow n 2))))) |
#s(approx (log (+ n 1)) #s(hole binary64 (* -1 (log (/ 1 n))))) |
#s(approx (log (+ n 1)) #s(hole binary64 (+ (* -1 (log (/ 1 n))) (/ 1 n)))) |
#s(approx (log (+ n 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (/ 1 n)) (/ 1/2 (pow n 2))))) |
#s(approx (log (+ n 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (+ (/ 1 n) (* 1/3 (/ 1 (pow n 3))))) (/ 1/2 (pow n 2))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (* -1 (log (/ 1 n))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2))))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (log (/ 1 n)))))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (/ 1 n)))))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n))))))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (- (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n)))) (* 1/6 (/ 1 (pow n 3))))))) |
#s(approx (* n (log n)) #s(hole binary64 (* -1 (* n (log (/ 1 n)))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n))))))) |
#s(approx (log (+ n 1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n)))))) |
#s(approx (log (+ n 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (/ 1 n))))) |
#s(approx (log (+ n 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/2 (/ 1 n)) 1) n)))))) |
#s(approx (log (+ n 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 n)) 1/2) n)) 1) n)))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n)))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n)))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n)))))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ (log -1) (* -1 (log (/ -1 n))))))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n))))))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))) n))))))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))) n))))))) |
#s(approx (* n (log n)) #s(hole binary64 (* n (+ (log -1) (* -1 (log (/ -1 n))))))) |
| Outputs |
|---|
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- 1 (log n))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 n)) n)) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- (+ 1 (* 1/2 n)) (log n))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 n (*.f64 (fma.f64 #s(literal -1/2 binary64) n (log.f64 n)) n))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 n (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) n (log.f64 n)) n))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))) (log n))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) n #s(literal -1/6 binary64)) n #s(literal 1/2 binary64)) n (-.f64 #s(literal 1 binary64) (log.f64 n))) n)) |
#s(approx (log (+ n 1)) #s(hole binary64 n)) |
#s(approx (log (+ n 1)) n) |
#s(approx (log (+ n 1)) #s(hole binary64 (* n (+ 1 (* -1/2 n))))) |
#s(approx (log (+ n 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) n #s(literal 1 binary64)) n)) |
#s(approx (log (+ n 1)) #s(hole binary64 (* n (+ 1 (* n (- (* 1/3 n) 1/2)))))) |
#s(approx (log (+ n 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) n #s(literal -1/2 binary64)) n #s(literal 1 binary64)) n)) |
#s(approx (log (+ n 1)) #s(hole binary64 (* n (+ 1 (* n (- (* n (+ 1/3 (* -1/4 n))) 1/2)))))) |
#s(approx (log (+ n 1)) (*.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)) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 -1)) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- 1 (log n))) 1))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 n)) n #s(literal -1 binary64))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* 1/2 n)) (log n))) 1))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (-.f64 #s(literal 1 binary64) (log.f64 n))) n #s(literal -1 binary64))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)) n (-.f64 #s(literal 1 binary64) (log.f64 n))) n #s(literal -1 binary64))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 n)) |
#s(approx (* (+ n 1) (log (+ n 1))) n) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ 1 (* 1/2 n))))) |
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (fma.f64 #s(literal 1/2 binary64) n #s(literal 1 binary64)) n)) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ 1 (* n (+ 1/2 (* -1/6 n))))))) |
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)) n #s(literal 1 binary64)) n)) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6)))))))) |
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) n #s(literal -1/6 binary64)) n #s(literal 1/2 binary64)) n #s(literal 1 binary64)) n)) |
#s(approx (* n (log n)) #s(hole binary64 (* n (log n)))) |
#s(approx (* n (log n)) (*.f64 (log.f64 n) n)) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (* -1 (log (/ 1 n)))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (log.f64 n) #s(literal -1 binary64))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n)) #s(literal -1 binary64))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (- (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))) (/ 1/6 (pow n 2))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (-.f64 (log.f64 n) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (- (+ 1 (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3)))))) (/ 1/6 (pow n 2))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64)) n) #s(literal 1/2 binary64)) n) #s(literal -1 binary64)) (log.f64 n))) |
#s(approx (log (+ n 1)) #s(hole binary64 (* -1 (log (/ 1 n))))) |
#s(approx (log (+ n 1)) (log.f64 n)) |
#s(approx (log (+ n 1)) #s(hole binary64 (+ (* -1 (log (/ 1 n))) (/ 1 n)))) |
#s(approx (log (+ n 1)) (+.f64 (log.f64 n) (/.f64 #s(literal 1 binary64) n))) |
#s(approx (log (+ n 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (/ 1 n)) (/ 1/2 (pow n 2))))) |
#s(approx (log (+ n 1)) (-.f64 (+.f64 (log.f64 n) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) n))) |
#s(approx (log (+ n 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (+ (/ 1 n) (* 1/3 (/ 1 (pow n 3))))) (/ 1/2 (pow n 2))))) |
#s(approx (log (+ n 1)) (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) n) (+.f64 (log.f64 n) (/.f64 #s(literal 1 binary64) n)))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (* -1 (log (/ 1 n))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (log.f64 n) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64)) n) #s(literal 1/2 binary64)) n) (log.f64 n))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (log (/ 1 n)))))) |
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (log.f64 n) n)) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (/ 1 n)))))) |
#s(approx (* (+ n 1) (log (+ n 1))) (fma.f64 (+.f64 (/.f64 (log.f64 n) n) (log.f64 n)) n #s(literal 1 binary64))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n))))))) |
#s(approx (* (+ n 1) (log (+ n 1))) (fma.f64 (+.f64 (/.f64 (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n)) n) (log.f64 n)) n #s(literal 1 binary64))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (- (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n)))) (* 1/6 (/ 1 (pow n 3))))))) |
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (-.f64 (+.f64 (/.f64 (-.f64 (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n)) #s(literal -1 binary64)) n) (log.f64 n)) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) n)) |
#s(approx (* n (log n)) #s(hole binary64 (* -1 (* n (log (/ 1 n)))))) |
#s(approx (* n (log n)) (*.f64 (log.f64 n) n)) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n)))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n))))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64)) n) #s(literal 1/2 binary64)) n)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) |
#s(approx (log (+ n 1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n)))))) |
#s(approx (log (+ n 1)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) |
#s(approx (log (+ n 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (/ 1 n))))) |
#s(approx (log (+ n 1)) (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) |
#s(approx (log (+ n 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/2 (/ 1 n)) 1) n)))))) |
#s(approx (log (+ n 1)) (-.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)))) |
#s(approx (log (+ n 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 n)) 1/2) n)) 1) n)))))) |
#s(approx (log (+ n 1)) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal -1 binary64) #s(literal -1 binary64)) n)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n)))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n)))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n)))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64)) n) #s(literal 1/2 binary64)) n) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) n)))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ (log -1) (* -1 (log (/ -1 n))))))) |
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n))))))) |
#s(approx (* (+ n 1) (log (+ n 1))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) n (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))) n))))))) |
#s(approx (* (+ n 1) (log (+ n 1))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) n (-.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 #s(literal -1/2 binary64) n)))) |
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))) n))))))) |
#s(approx (* (+ n 1) (log (+ n 1))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) n (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n))))) |
#s(approx (* n (log n)) #s(hole binary64 (* n (+ (log -1) (* -1 (log (/ -1 n))))))) |
#s(approx (* n (log n)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 44 |
| 0 | 16 | 44 |
| 1 | 66 | 42 |
| 0 | 549 | 35 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) |
(log.f64 (+.f64 n #s(literal 1 binary64))) |
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64)) |
(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) |
(*.f64 n (log.f64 n)) |
| Outputs |
|---|
(*.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 n) n) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (log.f64 n) n (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 n) n) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (log.f64 n) n) (fma.f64 (log.f64 n) n (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 n) (log.f64 n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (log.f64 n) n) #s(literal 2 binary64)) (*.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) (*.f64 (neg.f64 n) (log.f64 n)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 n) n) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (log.f64 n) n (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 n) n) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (log.f64 n) n) (fma.f64 (log.f64 n) n (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 n) n) #s(literal 2 binary64))) (fma.f64 (log.f64 n) n (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 n) n) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 n) n) (fma.f64 (log.f64 n) n (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) |
(fma.f64 (log.f64 n) (neg.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) |
(fma.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)) (*.f64 (neg.f64 (log.f64 n)) n)) |
(fma.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)) (*.f64 (neg.f64 n) (log.f64 n))) |
(fma.f64 (-.f64 n #s(literal -1 binary64)) (log1p.f64 n) (*.f64 (neg.f64 (log.f64 n)) n)) |
(fma.f64 (-.f64 n #s(literal -1 binary64)) (log1p.f64 n) (*.f64 (neg.f64 n) (log.f64 n))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 n) n (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))))) (/.f64 (pow.f64 (*.f64 (log.f64 n) n) #s(literal 2 binary64)) (fma.f64 (log.f64 n) n (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 (log.f64 n) n) (fma.f64 (log.f64 n) n (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (log.f64 n) n) #s(literal 3 binary64)) (fma.f64 (*.f64 (log.f64 n) n) (fma.f64 (log.f64 n) n (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 n)) (log.f64 n))) |
(-.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) (*.f64 (log.f64 n) n)) |
(+.f64 (*.f64 (neg.f64 n) (log.f64 n)) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) |
(+.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) (*.f64 (neg.f64 (log.f64 n)) n)) |
(+.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) (*.f64 (neg.f64 n) (log.f64 n))) |
(log.f64 (/.f64 (pow.f64 (-.f64 n #s(literal -1 binary64)) (-.f64 n #s(literal -1 binary64))) (pow.f64 n n))) |
(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 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (log.f64 n) n #s(literal 1 binary64)) (fma.f64 (log.f64 n) n #s(literal 1 binary64)))) (fma.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)) (fma.f64 (log.f64 n) n #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (log.f64 n) n #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (fma.f64 (log.f64 n) n #s(literal 1 binary64)) (fma.f64 (log.f64 n) n #s(literal 1 binary64)) (*.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) (fma.f64 (log.f64 n) n #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)) (fma.f64 (neg.f64 n) (log.f64 n) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)) (fma.f64 (neg.f64 n) (log.f64 n) #s(literal 1 binary64))) (pow.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)) (fma.f64 (neg.f64 n) (log.f64 n) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)) (fma.f64 (neg.f64 n) (log.f64 n) #s(literal 1 binary64))) (pow.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)) (-.f64 (*.f64 (neg.f64 n) (log.f64 n)) #s(literal 1 binary64))) |
(fma.f64 (-.f64 n #s(literal -1 binary64)) (log1p.f64 n) (-.f64 (*.f64 (neg.f64 n) (log.f64 n)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)) (fma.f64 (neg.f64 n) (log.f64 n) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)) (fma.f64 (neg.f64 n) (log.f64 n) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (fma.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)) (fma.f64 (neg.f64 n) (log.f64 n) #s(literal 1 binary64))) (pow.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)) (fma.f64 (neg.f64 n) (log.f64 n) #s(literal 1 binary64))) (pow.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64))))) |
(-.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) (fma.f64 (log.f64 n) n #s(literal 1 binary64))) |
(+.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(+.f64 (*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) (-.f64 (*.f64 (neg.f64 n) (log.f64 n)) #s(literal 1 binary64))) |
(*.f64 (log1p.f64 n) (-.f64 n #s(literal -1 binary64))) |
(*.f64 (-.f64 n #s(literal -1 binary64)) (log1p.f64 n)) |
(/.f64 (*.f64 (fma.f64 n n #s(literal -1 binary64)) (log1p.f64 n)) (-.f64 n #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -1 binary64)) (log1p.f64 n)) (fma.f64 n n (-.f64 #s(literal 1 binary64) n))) |
(/.f64 (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64))) (-.f64 n #s(literal 1 binary64))) |
(/.f64 (*.f64 (log1p.f64 n) (-.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 n n (-.f64 #s(literal 1 binary64) n))) |
(fma.f64 (log1p.f64 n) #s(literal 1 binary64) (*.f64 (log1p.f64 n) n)) |
(fma.f64 (log1p.f64 n) n (*.f64 (log1p.f64 n) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (log1p.f64 n) (*.f64 n (log1p.f64 n))) |
(fma.f64 n (log1p.f64 n) (*.f64 #s(literal 1 binary64) (log1p.f64 n))) |
(+.f64 (*.f64 #s(literal 1 binary64) (log1p.f64 n)) (*.f64 n (log1p.f64 n))) |
(+.f64 (*.f64 n (log1p.f64 n)) (*.f64 #s(literal 1 binary64) (log1p.f64 n))) |
(+.f64 (*.f64 (log1p.f64 n) #s(literal 1 binary64)) (*.f64 (log1p.f64 n) n)) |
(+.f64 (*.f64 (log1p.f64 n) n) (*.f64 (log1p.f64 n) #s(literal 1 binary64))) |
(log.f64 (pow.f64 (-.f64 n #s(literal -1 binary64)) (-.f64 n #s(literal -1 binary64)))) |
(*.f64 (log.f64 n) n) |
(*.f64 n (log.f64 n)) |
(log.f64 (pow.f64 n n)) |
Compiled 2 700 to 460 computations (83% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 109 | 2 | 111 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 110 | 2 | 112 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) |
| ▶ | 1.6% | #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) |
Compiled 35 to 22 computations (37.1% saved)
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 n) | |
| cost-diff | 0 | #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) | |
| cost-diff | 0 | #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 39 |
| 0 | 14 | 39 |
| 1 | 24 | 39 |
| 2 | 47 | 39 |
| 3 | 181 | 39 |
| 4 | 543 | 39 |
| 5 | 2074 | 39 |
| 6 | 7778 | 39 |
| 0 | 8088 | 31 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) |
(log.f64 n) |
n |
| Outputs |
|---|
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) |
(log.f64 n) |
n |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (log.f64 n) | |
| accuracy | 0.0 | #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) | |
| accuracy | 63.00433305322539 | #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) |
| 76.0ms | 256× | 1 | valid |
Compiled 36 to 12 computations (66.7% saved)
ival-log: 19.0ms (28.6% of total)ival-log1p: 19.0ms (28.6% of total)adjust: 14.0ms (21.1% of total)ival-mult: 7.0ms (10.5% of total)ival-sub: 4.0ms (6% of total)ival-add: 3.0ms (4.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) |
(log.f64 n) |
| Outputs |
|---|
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 -1)) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- 1 (log n))) 1))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* 1/2 n)) (log n))) 1))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1))) |
#s(approx (log n) #s(hole binary64 (log n))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (* -1 (log (/ 1 n))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2))))) |
#s(approx (log n) #s(hole binary64 (* -1 (log (/ 1 n))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n)))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n)))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n)))))) |
#s(approx (log n) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | n | @ | -inf | ((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log n)) |
| 7.0ms | n | @ | inf | ((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log n)) |
| 6.0ms | n | @ | 0 | ((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 355 |
| 1 | 196 | 340 |
| 2 | 539 | 336 |
| 3 | 1852 | 333 |
| 4 | 6283 | 333 |
| 0 | 8177 | 279 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 -1)) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- 1 (log n))) 1))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* 1/2 n)) (log n))) 1))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1))) |
#s(approx (log n) #s(hole binary64 (log n))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (* -1 (log (/ 1 n))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2))))) |
#s(approx (log n) #s(hole binary64 (* -1 (log (/ 1 n))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n)))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n)))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n)))))) |
#s(approx (log n) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n)))))) |
| Outputs |
|---|
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 -1)) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- 1 (log n))) 1))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 n)) n #s(literal -1 binary64))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* 1/2 n)) (log n))) 1))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (-.f64 #s(literal 1 binary64) (log.f64 n))) n #s(literal -1 binary64))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)) n (-.f64 #s(literal 1 binary64) (log.f64 n))) n #s(literal -1 binary64))) |
#s(approx (log n) #s(hole binary64 (log n))) |
#s(approx (log n) (log.f64 n)) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (* -1 (log (/ 1 n))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (log.f64 n) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64)) n) #s(literal 1/2 binary64)) n) (log.f64 n))) |
#s(approx (log n) #s(hole binary64 (* -1 (log (/ 1 n))))) |
#s(approx (log n) (log.f64 n)) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n)))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n)))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n)))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64)) n) #s(literal 1/2 binary64)) n) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))))) |
#s(approx (log n) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n)))))) |
#s(approx (log n) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 37 |
| 0 | 14 | 37 |
| 1 | 64 | 35 |
| 0 | 546 | 31 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) |
(log.f64 n) |
| Outputs |
|---|
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) |
(log.f64 n) |
Compiled 372 to 59 computations (84.1% saved)
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 15 | 0 | 15 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 0 | 0 |
| Total | 15 | 2 | 17 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) |
| ✓ | 1.6% | #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) |
Compiled 85 to 42 computations (50.6% saved)
| Inputs |
|---|
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) |
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) |
3 calls:
| 2.0ms | n |
| 1.0ms | (-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64)) |
| 1.0ms | (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) |
| 100.0% | 1 | (-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64)) |
| 100.0% | 1 | n |
Compiled 29 to 18 computations (37.9% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) |
3 calls:
| 1.0ms | n |
| 1.0ms | (-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64)) |
| 1.0ms | (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 1.6% | 1 | (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) |
| 1.6% | 1 | (-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64)) |
| 1.6% | 1 | n |
Compiled 29 to 18 computations (37.9% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 35 |
| 1 | 23 | 35 |
| 2 | 46 | 35 |
| 3 | 184 | 35 |
| 4 | 646 | 35 |
| 5 | 3587 | 35 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) |
| 1× | done |
Compiled 35 to 13 computations (62.9% saved)
Compiled 148 to 78 computations (47.3% saved)
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