
Time bar (total: 4.9s)
| 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)
| 3.6s | 8 255× | 1 | valid |
| 0.0ms | 1× | 2 | valid |
ival-log1p: 1.1s (35.3% of total)ival-log: 989.0ms (31.1% of total)adjust: 435.0ms (13.7% of total)ival-mult!: 406.0ms (12.8% of total)ival-sub!: 114.0ms (3.6% of total)ival-add!: 113.0ms (3.6% of total)Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 51 |
| 1 | 73 | 44 |
| 2 | 267 | 42 |
| 3 | 1387 | 42 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 1.6% | (-.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 24 to 18 computations (25% saved)
| 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 |
|---|
#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))) (* 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 (* (+ 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 1) #s(hole binary64 1)) |
#s(approx (+ n 1) #s(hole binary64 (+ 1 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 (log n)) #s(hole binary64 (* n (log n)))) |
#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 (- (* (+ 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 (* (+ 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 1) #s(hole binary64 (* n (+ 1 (/ 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 (+ (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))) (* 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 (* (+ 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 (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)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 53.0ms | n | @ | 0 | ((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (* (+ n 1) (log (+ n 1))) (+ n 1) n 1 (log (+ n 1)) (* n (log n)) (log n)) |
| 42.0ms | n | @ | -inf | ((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (* (+ n 1) (log (+ n 1))) (+ n 1) n 1 (log (+ n 1)) (* n (log n)) (log n)) |
| 11.0ms | n | @ | inf | ((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (* (+ n 1) (log (+ n 1))) (+ n 1) n 1 (log (+ n 1)) (* n (log n)) (log n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 219 | 1361 |
| 0 | 232 | 1216 |
| 0 | 851 | 1074 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 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) |
#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))) (* 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 (* (+ 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 1) #s(hole binary64 1)) |
#s(approx (+ n 1) #s(hole binary64 (+ 1 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 (log n)) #s(hole binary64 (* n (log n)))) |
#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 (- (* (+ 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 (* (+ 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 1) #s(hole binary64 (* n (+ 1 (/ 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 (+ (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))) (* 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 (* (+ 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 (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)))))) |
| Outputs |
|---|
(neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (*.f64 (log.f64 n) n)))) |
(-.f64 (-.f64 (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (*.f64 (log.f64 n) n)) #s(literal 1 binary64)) |
(-.f64 (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (fma.f64 (log.f64 n) n #s(literal 1 binary64))) |
(+.f64 (-.f64 (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (*.f64 (log.f64 n) n)) #s(literal -1 binary64)) |
(neg.f64 (-.f64 (*.f64 (log.f64 n) n) (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))))) |
(fma.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64)) (*.f64 (neg.f64 n) (log.f64 n))) |
(fma.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64)) (neg.f64 (*.f64 (log.f64 n) n))) |
(fma.f64 (-.f64 n #s(literal -1 binary64)) (log.f64 (-.f64 n #s(literal -1 binary64))) (*.f64 (neg.f64 n) (log.f64 n))) |
(fma.f64 (-.f64 n #s(literal -1 binary64)) (log.f64 (-.f64 n #s(literal -1 binary64))) (neg.f64 (*.f64 (log.f64 n) n))) |
(-.f64 (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (*.f64 (log.f64 n) n)) |
(+.f64 (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (*.f64 (neg.f64 n) (log.f64 n))) |
(+.f64 (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (neg.f64 (*.f64 (log.f64 n) n))) |
(*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) |
(*.f64 (-.f64 n #s(literal -1 binary64)) (log.f64 (-.f64 n #s(literal -1 binary64)))) |
(log.f64 (pow.f64 (-.f64 n #s(literal -1 binary64)) (-.f64 n #s(literal -1 binary64)))) |
(-.f64 #s(literal 1 binary64) (neg.f64 n)) |
(-.f64 n #s(literal -1 binary64)) |
(+.f64 #s(literal 1 binary64) n) |
(+.f64 n #s(literal 1 binary64)) |
n |
#s(literal 1 binary64) |
(log1p.f64 n) |
(log.f64 (fabs.f64 (-.f64 n #s(literal -1 binary64)))) |
(log.f64 (-.f64 n #s(literal -1 binary64))) |
(*.f64 (log.f64 n) n) |
(*.f64 n (log.f64 n)) |
(log.f64 (pow.f64 n n)) |
(log.f64 (fabs.f64 n)) |
(log.f64 n) |
#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) (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) (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) n #s(literal 1 binary64)) (log.f64 n)) n #s(literal -1 binary64))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)) n #s(literal 1 binary64)) (log.f64 n)) n #s(literal -1 binary64))) |
#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))) (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) n #s(literal 1 binary64)) (log.f64 n)) n)) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (*.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)) n #s(literal 1 binary64)) (log.f64 n)) n)) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (*.f64 (-.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)) (log.f64 n)) n)) |
#s(approx (* (+ n 1) (log (+ n 1))) 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))) (*.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))) (*.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 1) #s(literal 1 binary64)) |
#s(approx (+ n 1) (-.f64 n #s(literal -1 binary64))) |
#s(approx (log (+ n 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) n #s(literal 1 binary64)) n)) |
#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)) (*.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 (log n)) (*.f64 (log.f64 n) n)) |
#s(approx (log n) (log.f64 n)) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (neg.f64 (neg.f64 (log.f64 n)))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (neg.f64 (neg.f64 (log.f64 n))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (neg.f64 (neg.f64 (log.f64 n)))) (/.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 n n) n))) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (neg.f64 (neg.f64 (log.f64 n))) #s(literal 1 binary64))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (neg.f64 (neg.f64 (log.f64 n)))) #s(literal 1 binary64))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (neg.f64 (neg.f64 (log.f64 n)))) (/.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 n n) n))) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))))) |
#s(approx (* (+ n 1) (log (+ n 1))) (neg.f64 (*.f64 (neg.f64 (log.f64 n)) n))) |
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 (neg.f64 (neg.f64 (log.f64 n))) n)) (/.f64 #s(literal 1 binary64) n)) n)) |
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (neg.f64 (neg.f64 (log.f64 n))) n)) (neg.f64 (neg.f64 (log.f64 n)))) n)) |
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (-.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (neg.f64 (neg.f64 (log.f64 n))) n)) (neg.f64 (neg.f64 (log.f64 n)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n))) n)) |
#s(approx (+ n 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) n)) |
#s(approx (log (+ n 1)) (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 #s(literal 1 binary64) n))) |
#s(approx (log (+ n 1)) (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
#s(approx (log (+ n 1)) (-.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n n) n))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) #s(literal 0 binary64))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 0 binary64))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)))) #s(literal 0 binary64))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64)) n)) #s(literal 1/2 binary64)) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)))) #s(literal 0 binary64))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (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))) (+.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)))))) |
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64)) n)) #s(literal 1/2 binary64)) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)))))) |
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) #s(literal 0 binary64)) n)) |
#s(approx (* (+ n 1) (log (+ n 1))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)))) n)) (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) #s(literal 0 binary64)))) n))) |
#s(approx (* (+ n 1) (log (+ n 1))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 #s(literal 1/2 binary64) n))) n)) (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) #s(literal 0 binary64)))) n))) |
#s(approx (* (+ n 1) (log (+ n 1))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))))) n)) (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) #s(literal 0 binary64)))) n))) |
#s(approx (log (+ n 1)) (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 0 binary64))) |
#s(approx (log (+ n 1)) (+.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64)) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)))) #s(literal 0 binary64))) |
#s(approx (log (+ n 1)) (+.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)))) #s(literal 0 binary64))) |
Compiled 907 to 351 computations (61.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 72 | 2 | 74 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 73 | 2 | 75 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (neg.f64 (neg.f64 (log.f64 n)))) |
| ▶ | 1.6% | #s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64)) |
Compiled 26 to 24 computations (7.7% saved)
| 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) (neg.f64 (neg.f64 (log.f64 n)))) |
(neg.f64 (neg.f64 (log.f64 n))) |
(neg.f64 (log.f64 n)) |
(log.f64 n) |
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 (neg (neg (log n))) #s(hole binary64 (log n))) |
#s(approx (neg (log n)) #s(hole binary64 (* -1 (log n)))) |
#s(approx n #s(hole 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) #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 (neg (log n)) #s(hole binary64 (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 (neg (log n)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 n))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | n | @ | 0 | ((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) -1 (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (neg (neg (log n))) (neg (log n)) (log n) n) |
| 11.0ms | n | @ | -inf | ((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) -1 (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (neg (neg (log n))) (neg (log n)) (log n) n) |
| 10.0ms | n | @ | inf | ((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) -1 (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (neg (neg (log n))) (neg (log n)) (log n) n) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 452 |
| 0 | 96 | 400 |
| 0 | 350 | 349 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 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) (neg.f64 (neg.f64 (log.f64 n)))) |
(neg.f64 (neg.f64 (log.f64 n))) |
(neg.f64 (log.f64 n)) |
(log.f64 n) |
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(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 (neg (neg (log n))) #s(hole binary64 (log n))) |
#s(approx (neg (log n)) #s(hole binary64 (* -1 (log n)))) |
#s(approx n #s(hole 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) #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 (neg (log n)) #s(hole binary64 (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 (neg (log n)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 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)) |
(*.f64 (neg.f64 (log.f64 n)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 n))) |
(neg.f64 (neg.f64 (log.f64 n))) |
(log.f64 (fabs.f64 n)) |
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) |
(log.f64 n) |
(*.f64 #s(literal -1 binary64) (log.f64 n)) |
(*.f64 (log.f64 n) #s(literal -1 binary64)) |
(neg.f64 (log.f64 n)) |
(log.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) n))) |
(log.f64 (/.f64 #s(literal 1 binary64) n)) |
(*.f64 (neg.f64 (log.f64 n)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 n))) |
(neg.f64 (neg.f64 (log.f64 n))) |
(log.f64 (fabs.f64 n)) |
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) |
(log.f64 n) |
n |
#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) (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) (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) n #s(literal 1 binary64)) (log.f64 n)) n #s(literal -1 binary64))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)) n #s(literal 1 binary64)) (log.f64 n)) n #s(literal -1 binary64))) |
#s(approx (neg (neg (log n))) (log.f64 n)) |
#s(approx (neg (log n)) (neg.f64 (log.f64 n))) |
#s(approx n 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) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 n n) n)) (/.f64 #s(literal 1/2 binary64) n)) (log.f64 n)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) |
#s(approx (neg (log n)) (neg.f64 (log.f64 n))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) #s(literal 0 binary64))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 0 binary64))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)))) #s(literal 0 binary64))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64)) n)) #s(literal 1/2 binary64)) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)))) #s(literal 0 binary64))) |
#s(approx (neg (log n)) (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) #s(literal 0 binary64)))) |
Compiled 241 to 109 computations (54.8% saved)
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 23 | 1 | 24 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 24 | 2 | 26 |
| 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 24 to 22 computations (8.3% saved)
| Inputs |
|---|
#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(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 #s(hole 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) #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))) (* 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)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | n | @ | 0 | ((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log n) n) |
| 11.0ms | n | @ | inf | ((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log n) n) |
| 9.0ms | n | @ | -inf | ((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log n) n) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 392 |
| 0 | 84 | 359 |
| 0 | 317 | 311 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) |
(log.f64 n) |
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(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 #s(hole 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) #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))) (* 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)))))) |
| Outputs |
|---|
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n)) |
(log.f64 (fabs.f64 n)) |
(log.f64 n) |
n |
#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) (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) (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) n #s(literal 1 binary64)) (log.f64 n)) n #s(literal -1 binary64))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)) n #s(literal 1 binary64)) (log.f64 n)) n #s(literal -1 binary64))) |
#s(approx (log n) (log.f64 n)) |
#s(approx n n) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (neg.f64 (neg.f64 (log.f64 n)))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (neg.f64 (neg.f64 (log.f64 n))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (neg.f64 (neg.f64 (log.f64 n)))) (/.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 n n) n))) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) #s(literal 0 binary64))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 0 binary64))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)))) #s(literal 0 binary64))) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64)) n)) #s(literal 1/2 binary64)) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)))) #s(literal 0 binary64))) |
Compiled 197 to 78 computations (60.4% saved)
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 14 | 0 | 14 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 14 | 2 | 16 |
| 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 61 to 45 computations (26.2% 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)) |
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (neg.f64 (neg.f64 (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 23 to 18 computations (21.7% 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 23 to 18 computations (21.7% saved)
| 1× | done |
Compiled 22 to 13 computations (40.9% saved)
Compiled 54 to 39 computations (27.8% saved)
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