
Time bar (total: 9.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 6 |
| 39.1% | 39% | 60.9% | 0.1% | 0% | 0% | 0% | 7 |
| 44.5% | 44.5% | 55.4% | 0.1% | 0% | 0% | 0% | 8 |
| 55.3% | 55% | 44.5% | 0.1% | 0% | 0.4% | 0% | 9 |
| 59.3% | 58.7% | 40.4% | 0.1% | 0% | 0.8% | 0% | 10 |
| 65.5% | 64.5% | 34% | 0.1% | 0% | 1.5% | 0% | 11 |
| 67.8% | 66.6% | 31.6% | 0.1% | 0% | 1.8% | 0% | 12 |
Compiled 17 to 12 computations (29.4% saved)
| 2.0s | 4 540× | 1 | valid |
| 1.5s | 1 708× | 2 | valid |
| 200.0ms | 2 020× | 0 | invalid |
| 183.0ms | 1 951× | 0 | valid |
| 139.0ms | 57× | 3 | valid |
ival-pow: 2.3s (63.9% of total)ival-div: 433.0ms (12.2% of total)adjust: 329.0ms (9.3% of total)ival-sub: 172.0ms (4.9% of total)ival-mult: 164.0ms (4.6% of total)ival-add: 153.0ms (4.3% of total)exact: 12.0ms (0.3% of total)ival-true: 8.0ms (0.2% of total)ival-assert: 5.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 175 | 0 | - | 0 | - | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) |
| 68 | 79 | (-7.214061175449116e-295 8.878011842976152e+243) | 0 | - | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) |
| 49 | 0 | - | 3 | (-1.9906174247455854e-165 8.518727351468665e+157) | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 0 | 0 | - | 0 | - | n |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (/.f64 i n)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | i |
| 0 | 0 | - | 0 | - | (/.f64 i n) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 0 | 0 | - | 0 | - | #s(literal 100 binary64) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) | cancellation | 175 | 0 |
pow.f64 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | sensitivity | 126 | 0 |
/.f64 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) | n/u | 46 | 0 |
| ↳ | (/.f64 i n) | underflow | 46 | |
pow.f64 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | oflow-rescue | 21 | 0 |
| ↳ | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | overflow | 29 | |
| ↳ | (/.f64 i n) | overflow | 21 | |
| ↳ | (+.f64 #s(literal 1 binary64) (/.f64 i n)) | overflow | 21 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 189 | 0 |
| - | 30 | 37 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 189 | 0 | 0 |
| - | 30 | 0 | 37 |
| number | freq |
|---|---|
| 0 | 37 |
| 1 | 116 |
| 2 | 57 |
| 3 | 46 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 112.0ms | 298× | 1 | valid |
| 76.0ms | 126× | 2 | valid |
| 8.0ms | 6× | 3 | valid |
| 8.0ms | 82× | 0 | valid |
Compiled 131 to 34 computations (74% saved)
ival-pow: 110.0ms (62.5% of total)adjust: 19.0ms (10.8% of total)ival-div: 19.0ms (10.8% of total)ival-add: 11.0ms (6.2% of total)ival-mult: 9.0ms (5.1% of total)ival-sub: 6.0ms (3.4% of total)ival-true: 1.0ms (0.6% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 85 |
| 1 | 69 | 85 |
| 2 | 178 | 81 |
| 3 | 480 | 81 |
| 4 | 1010 | 77 |
| 5 | 2821 | 77 |
| 6 | 6308 | 77 |
| 1× | node limit |
Compiled 15 to 10 computations (33.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 29.0% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
Compiled 15 to 10 computations (33.3% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08984375 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) | |
| accuracy | 11.224174656850098 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) | |
| accuracy | 15.870225381437 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | |
| accuracy | 40.14442425447435 | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) |
| 56.0ms | 149× | 1 | valid |
| 36.0ms | 63× | 2 | valid |
| 4.0ms | 3× | 3 | valid |
| 4.0ms | 41× | 0 | valid |
Compiled 58 to 12 computations (79.3% saved)
ival-pow: 53.0ms (63.9% of total)ival-div: 11.0ms (13.3% of total)adjust: 9.0ms (10.9% of total)ival-sub: 3.0ms (3.6% of total)ival-mult: 3.0ms (3.6% of total)ival-add: 3.0ms (3.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| Outputs |
|---|
i |
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
1 |
(+ 1 i) |
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) |
n |
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) |
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(* 100 n) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))) |
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) |
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) |
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1) |
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1) |
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) |
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i) |
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i) |
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1) |
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) 1) |
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) 1) |
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) 1) |
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) |
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) |
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) |
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) |
(/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i) |
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) |
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i))) i)) |
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i)) |
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i)) |
(* n (+ (log i) (* -1 (log n)))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))) |
(+ 1 (* n (+ (log i) (* -1 (log n))))) |
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))) |
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))) |
(/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)) |
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i)))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))))))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))))))))) |
(- (exp i) 1) |
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1) |
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1) |
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1) |
(exp i) |
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) |
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) |
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) |
(/ (* n (- (exp i) 1)) i) |
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))) |
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))) |
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))) |
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) |
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n))))) |
(* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i))))) |
(* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | i | @ | 0 | ((- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))) |
| 5.0ms | n | @ | 0 | ((- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))) |
| 4.0ms | i | @ | inf | ((- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))) |
| 3.0ms | i | @ | -inf | ((- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))) |
| 3.0ms | n | @ | inf | ((- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 515 | 3951 |
| 1× | iter limit |
| Inputs |
|---|
i |
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
1 |
(+ 1 i) |
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) |
n |
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) |
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(* 100 n) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))) |
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) |
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) |
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1) |
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1) |
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) |
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i) |
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i) |
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1) |
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) 1) |
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) 1) |
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) 1) |
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) |
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) |
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) |
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) |
(/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i) |
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) |
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i))) i)) |
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i)) |
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i)) |
(* n (+ (log i) (* -1 (log n)))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))) |
(+ 1 (* n (+ (log i) (* -1 (log n))))) |
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))) |
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))) |
(/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)) |
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i)))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))))))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))))))))) |
(- (exp i) 1) |
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1) |
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1) |
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1) |
(exp i) |
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) |
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) |
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) |
(/ (* n (- (exp i) 1)) i) |
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))) |
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))) |
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))) |
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) |
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n))))) |
(* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i))))) |
(* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n))))) |
| Outputs |
|---|
i |
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))) |
(*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (*.f64 i (-.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 i) |
(+.f64 #s(literal 1 binary64) i) |
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))) |
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))) |
n |
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) |
(+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) |
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(+.f64 n (*.f64 i (fma.f64 i (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))) |
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(+.f64 n (*.f64 i (fma.f64 i (fma.f64 i (*.f64 n (-.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))))))) (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))) |
(* 100 n) |
(*.f64 #s(literal 100 binary64) n) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))) |
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))) |
(fma.f64 #s(literal 100 binary64) n (*.f64 i (fma.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 #s(literal 100 binary64) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
(fma.f64 #s(literal 100 binary64) n (*.f64 i (fma.f64 #s(literal 100 binary64) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 i (fma.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))))))) (*.f64 #s(literal 100 binary64) (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))))) |
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) |
(expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) |
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) |
(-.f64 (+.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (/.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i))))))) i)) #s(literal 1 binary64)) |
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1) |
(-.f64 (+.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) (pow.f64 i #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i))))))) i))) #s(literal 1 binary64)) |
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1) |
(-.f64 (+.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) (pow.f64 i #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64)))))) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i))))))) i)))) #s(literal 1 binary64)) |
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) |
(exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) |
(+.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (/.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i))))))) i)) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) |
(+.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) (pow.f64 i #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i))))))) i))) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) |
(+.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) (pow.f64 i #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64)))))) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i))))))) i)))) |
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i))))))) i) |
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i) |
(/.f64 (fma.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (/.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i))))))) i)) i) |
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/.f64 (fma.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (+.f64 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))))) (pow.f64 i #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i))))))) i))) i) |
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/.f64 (fma.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (+.f64 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))))) (pow.f64 i #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64))))))) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i))))))) i)))) i) |
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i))))))) i)) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
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(/.f64 (*.f64 n (expm1.f64 i)) i) |
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))) |
(*.f64 n (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (/.f64 (exp.f64 i) i)) (/.f64 #s(literal 1 binary64) i))) |
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))) |
(*.f64 n (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (+.f64 (/.f64 (exp.f64 i) i) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i (pow.f64 n #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) i))) |
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))) |
(*.f64 n (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (+.f64 (/.f64 (exp.f64 i) i) (+.f64 (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)))))) (*.f64 i (pow.f64 n #s(literal 3 binary64)))) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i (pow.f64 n #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) i))) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) |
(*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))) |
(*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))) |
(*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)))))) (*.f64 i (pow.f64 n #s(literal 3 binary64)))) (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))) |
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) |
(-.f64 (+.f64 (exp.f64 i) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 i #s(literal 2 binary64)) (exp.f64 i)))) n))) #s(literal 1 binary64)) |
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) |
(-.f64 (+.f64 (exp.f64 i) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))) n) (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))))) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 i #s(literal 2 binary64)) (exp.f64 i)))) n))) #s(literal 1 binary64)) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(+.f64 (exp.f64 i) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 i #s(literal 2 binary64)) (exp.f64 i)))) n))) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(+.f64 (exp.f64 i) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))) n) (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))))) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 i #s(literal 2 binary64)) (exp.f64 i)))) n))) |
(* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n))))) |
(*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n))))) |
(* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i))))) |
(*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 i (exp.f64 i)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i n))) n) (*.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 i) i))))) |
(* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i))))) |
(*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))) (*.f64 i n))) n) (*.f64 #s(literal -1/2 binary64) (*.f64 i (exp.f64 i)))) n) (*.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 i) i))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n))))) |
(*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n))))) |
(*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i n)))) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n))))) |
(*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))) (*.f64 i n)))) n))) n))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 44 |
| 0 | 16 | 44 |
| 1 | 64 | 44 |
| 2 | 417 | 44 |
| 3 | 4671 | 44 |
| 0 | 8504 | 38 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| Outputs |
|---|
(*.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n)))) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n)))) (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n)))) (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n))))) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n)))) (-.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 4 binary64)) (pow.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n)))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n)))) (+.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 6 binary64)))) (fma.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64))) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 4 binary64)))) |
(*.f64 (+.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) #s(literal 1 binary64)) (-.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (expm1.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n)))) (+.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) |
(*.f64 (+.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (expm1.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (tanh.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log1p.f64 (/.f64 i n))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) #s(literal 2 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -2 binary64))) (+.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)))) |
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(fma.f64 (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 i n)) (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) #s(literal 1 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) i)) (neg.f64 n))) |
(fma.f64 (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 i n)) (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) i) n)) |
(fma.f64 (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) #s(literal 1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 i n)) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) i)) (neg.f64 n))) |
(fma.f64 (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) #s(literal 1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 i n)) (*.f64 (/.f64 #s(literal -1 binary64) i) n)) |
(fma.f64 (/.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n)) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) i)) (neg.f64 n))) |
(fma.f64 (/.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n)) (*.f64 (/.f64 #s(literal -1 binary64) i) n)) |
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) i)) (neg.f64 n))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) i) n)) |
(fma.f64 (/.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n)) (/.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) i)) (neg.f64 n))) |
(fma.f64 (/.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n)) (/.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) i) n)) |
(fma.f64 (/.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n)) (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) i)) (neg.f64 n))) |
(fma.f64 (/.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n)) (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal -1 binary64) i) n)) |
(fma.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i) (neg.f64 n) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) i)) (neg.f64 n))) |
(fma.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i) (neg.f64 n) (*.f64 (/.f64 #s(literal -1 binary64) i) n)) |
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (/.f64 n #s(literal 4 binary64))) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (/.f64 n #s(literal 4 binary64))) (/.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n))) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) i)) (neg.f64 n))) |
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (/.f64 n #s(literal 4 binary64))) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (/.f64 n #s(literal 4 binary64))) (/.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n))) (*.f64 (/.f64 #s(literal -1 binary64) i) n)) |
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) i)) (neg.f64 n))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)) |
(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 i n)) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) i)) (neg.f64 n))) |
(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 i n)) (*.f64 (/.f64 #s(literal -1 binary64) i) n)) |
(fma.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n)) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) i)) (neg.f64 n))) |
(fma.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n)) (*.f64 (/.f64 #s(literal -1 binary64) i) n)) |
(fma.f64 (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) i)) (neg.f64 n))) |
(fma.f64 (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) i) n)) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) i)) (neg.f64 n))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) i) n)) |
(fma.f64 (neg.f64 n) (/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) i)) (neg.f64 n))) |
(fma.f64 (neg.f64 n) (/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i) (*.f64 (/.f64 #s(literal -1 binary64) i) n)) |
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) i)) (neg.f64 n))) |
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) i) n)) |
(fma.f64 n (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) i)) (neg.f64 n))) |
(fma.f64 n (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 #s(literal -1 binary64) i) n)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) i)) (neg.f64 n))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (*.f64 (/.f64 #s(literal -1 binary64) i) n)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n))) (/.f64 (pow.f64 (/.f64 i n) #s(literal -2 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 i n) #s(literal -3 binary64)) (fma.f64 (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)) (pow.f64 (/.f64 i n) #s(literal 2 binary64))) (/.f64 (/.f64 i n) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n))) (pow.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n))) (pow.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (/.f64 i n)) (/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 i n))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 i n)) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)) (/.f64 i n))) |
(-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (pow.f64 (/.f64 i n) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) i)) (neg.f64 n))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (*.f64 (/.f64 #s(literal -1 binary64) i) n)) |
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) (neg.f64 n)) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) (*.f64 (neg.f64 n) #s(literal 100 binary64))) |
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 #s(literal 100 binary64) (/.f64 (neg.f64 i) n))) |
(*.f64 (neg.f64 n) (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i)) |
(*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i)) #s(literal 100 binary64)) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) (/.f64 i n))) |
(*.f64 n (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i))) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (neg.f64 n)) (neg.f64 i)) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) n) i) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n)))) (*.f64 #s(literal 100 binary64) n)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n)))) (*.f64 #s(literal 100 binary64) n)) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i)) |
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 #s(literal 100 binary64) n)) (neg.f64 i)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 #s(literal 100 binary64) n)) i) |
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 i n) #s(literal -2 binary64))) #s(literal 100 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 3 binary64)) (pow.f64 (/.f64 i n) #s(literal -3 binary64))) #s(literal 100 binary64)) (fma.f64 (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64)) (pow.f64 (/.f64 i n) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n)) i) |
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 i n) #s(literal -2 binary64)))) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 3 binary64)) (pow.f64 (/.f64 i n) #s(literal -3 binary64)))) (fma.f64 (pow.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (pow.f64 (/.f64 i n) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (/.f64 i n)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (log1p.f64 (/.f64 i n)))) #s(literal 100 binary64)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) n) (log1p.f64 (/.f64 i n)))) #s(literal 100 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n))) |
(/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 (neg.f64 i) n)) |
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) |
(/.f64 (*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 1 binary64)) |
(neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))) |
(neg.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 (neg.f64 i) n))) |
(neg.f64 (*.f64 (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) n)) |
(neg.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (neg.f64 i) n)))) |
(neg.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (neg.f64 i) n)) #s(literal 100 binary64))) |
Compiled 12 586 to 1 699 computations (86.5% saved)
21 alts after pruning (20 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 331 | 20 | 351 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 331 | 21 | 352 |
| Status | Accuracy | Program |
|---|---|---|
| 16.6% | (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 i n) #s(literal -2 binary64))) #s(literal 100 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n))) | |
| 63.2% | (/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i) | |
| ▶ | 72.0% | (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) |
| ▶ | 71.3% | (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n)) |
| 70.9% | (*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) | |
| 71.3% | (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n) | |
| ▶ | 24.3% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
| ✓ | 29.0% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 16.6% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 i n) #s(literal -2 binary64))) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))) | |
| 20.9% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 (neg.f64 i) n)) (/.f64 (neg.f64 i) n)) (neg.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64))))) | |
| 14.2% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) | |
| 17.2% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) | |
| 34.7% | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))) (/.f64 i n))) | |
| 57.7% | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))) | |
| 29.6% | (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 i i)) (*.f64 n n))) | |
| 71.3% | (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n)) | |
| 70.1% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))) | |
| 49.4% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 n (*.f64 i (fma.f64 i (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) | |
| 51.5% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) | |
| ▶ | 51.6% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
| ▶ | 47.0% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
Compiled 907 to 594 computations (34.5% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.046875 | (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) | |
| accuracy | 0.08203125 | (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n)) | |
| accuracy | 5.112148383394061 | (log1p.f64 (/.f64 i n)) | |
| accuracy | 10.791805216290797 | (*.f64 (log1p.f64 (/.f64 i n)) n) | |
| accuracy | 0.07421875 | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) | |
| accuracy | 0.1953125 | (*.f64 (/.f64 #s(literal -1 binary64) i) n) | |
| accuracy | 15.870225381437 | (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) | |
| accuracy | 34.81469840067438 | (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)) | |
| accuracy | 0.01953125 | (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) | |
| accuracy | 0.05859375 | (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) | |
| accuracy | 0.12890625 | (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) | |
| accuracy | 27.303463212421832 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) | |
| accuracy | 0.0 | (*.f64 #s(literal 100 binary64) n) | |
| accuracy | 29.963835249382974 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) | |
| accuracy | 0.0859375 | (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) | |
| accuracy | 5.112148383394061 | (log1p.f64 (/.f64 i n)) | |
| accuracy | 10.508570435553544 | (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) | |
| accuracy | 10.791805216290797 | (*.f64 (log1p.f64 (/.f64 i n)) n) |
| 126.0ms | 143× | 1 | valid |
| 78.0ms | 47× | 2 | valid |
| 13.0ms | 47× | 0 | valid |
| 11.0ms | 2× | 5 | exit |
| 4.0ms | 16× | 0 | invalid |
| 2.0ms | 1× | 3 | valid |
Compiled 305 to 37 computations (87.9% saved)
ival-pow: 102.0ms (50.5% of total)ival-mult: 29.0ms (14.4% of total)adjust: 24.0ms (11.9% of total)ival-div: 22.0ms (10.9% of total)ival-add: 11.0ms (5.4% of total)ival-log1p: 4.0ms (2% of total)ival-sub: 4.0ms (2% of total)ival-expm1: 4.0ms (2% of total)exact: 1.0ms (0.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (log1p.f64 (/.f64 i n)) n) |
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) |
(log1p.f64 (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(literal 100 binary64) n) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) |
(*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) |
(*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(*.f64 (/.f64 #s(literal -1 binary64) i) n) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n)) |
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) |
| Outputs |
|---|
i |
(* i (+ 1 (* -1/2 (/ i n)))) |
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n)))))) |
(* 100 n) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))) |
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
(/ i n) |
(* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n))) |
(* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) |
(* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) |
(* 100 i) |
(* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n)))))))) |
(* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
(* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) |
(* i (* n (- 1/2 (* 1/2 (/ 1 n))))) |
(/ (+ n (* -1 n)) i) |
(/ (+ n (+ (* -1 n) (* i n))) i) |
(/ (+ n (+ (* -1 n) (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/ (+ n (+ (* -1 n) (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
1 |
(+ 1 i) |
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) |
(* -1 (/ n i)) |
(* 100 (/ (+ n (* -1 n)) i)) |
(/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i) |
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))) |
(+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))) |
(+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))) |
(* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) |
(+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i)) |
(+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))) |
(+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* 1/3 (/ (pow n 4) (pow i 3))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i)))) |
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(+ (log (/ 1 n)) (* -1 (log (/ 1 i)))) |
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (/ n i))) |
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (/ n i)))) |
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (+ (* 1/3 (/ (pow n 3) (pow i 3))) (/ n i))))) |
(* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) |
(+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) |
(+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2))) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) |
(+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2))) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3))) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) |
(/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i) |
(/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) |
(* 100 (/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i)) |
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(/ (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) i) |
(/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) i) |
(/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1) i) |
(/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1) i) |
(* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))) |
(+ (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))) (/ (pow n 2) i)) |
(+ (* -1 (/ (+ (* -1 (pow n 2)) (* 1/2 (/ (pow n 3) i))) i)) (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow n 3)) (* 1/3 (/ (pow n 4) i))) i)) (* -1 (pow n 2))) i)) (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) |
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) |
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(* n (+ (log i) (* -1 (log n)))) |
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(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)) |
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(+ (log i) (* -1 (log n))) |
(+ (log i) (+ (* -1 (log n)) (/ n i))) |
(+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i))))) |
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(* 100 (* n (+ (log i) (* -1 (log n))))) |
(* n (+ (* 100 (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))) (* 100 (+ (log i) (* -1 (log n)))))) |
(* n (+ (* 100 (+ (log i) (* -1 (log n)))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2)))))) (* 100 (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))) |
(* n (+ (* 100 (+ (log i) (* -1 (log n)))) (* n (+ (* 100 (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)))))))) (* 100 (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))))))))) |
(* -50 i) |
(+ (* -50 i) (* 50 (* i n))) |
-1/2 |
(- (* 1/2 n) 1/2) |
(* -1/2 i) |
(+ (* -1/2 i) (* 1/2 (* i n))) |
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(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(+ 1 (* n (+ (log i) (* -1 (log n))))) |
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))) |
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))) |
(* 100 (* (pow n 2) (+ (* -1 (/ (log n) i)) (/ (log i) i)))) |
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))))) |
(* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))))))) |
(* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))))))))) |
(/ (* n (+ (log i) (* -1 (log n)))) i) |
(* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) |
(* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(+ i (* -1/2 (/ (pow i 2) n))) |
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(+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
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(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))) |
(/ (+ i (* -1/2 (/ (pow i 2) n))) n) |
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n) |
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n) |
(* 100 (- (exp i) 1)) |
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(* 50 (* i n)) |
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(exp i) |
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(* 100 (* n (- (/ (exp i) i) (/ 1 i)))) |
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(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (- (/ (exp i) i) (/ 1 i))) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))))) |
(/ (- (exp i) 1) i) |
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(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n))) |
(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n))))) |
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n)) |
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(* -1 (* n (+ (* -50 i) (* 50 (/ i n))))) |
(* -1 (* n (- (* 1/2 (/ 1 n)) 1/2))) |
(* -1 (* n (+ (* -1/2 i) (* 1/2 (/ i n))))) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i)))) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* 1/2 (/ (* i (exp i)) n)) (/ 1 i))))) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (/ 1 i))))) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (/ 1 i))))) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(* -100 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i)))) |
(* -1 (* n (+ (* 50 (/ (* i (exp i)) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i)))))) |
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i)))))) |
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i)))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i)) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | i | @ | inf | ((* (log (+ 1 (/ i n))) n) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (log (+ 1 (/ i n))) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))) (* i (* n (- 1/2 (* 1/2 (/ 1 n))))) (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (pow (+ (/ i n) 1) n) (* (/ -1 i) n) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* 100 n)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) |
| 4.0ms | i | @ | -inf | ((* (log (+ 1 (/ i n))) n) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (log (+ 1 (/ i n))) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))) (* i (* n (- 1/2 (* 1/2 (/ 1 n))))) (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (pow (+ (/ i n) 1) n) (* (/ -1 i) n) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* 100 n)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) |
| 4.0ms | n | @ | 0 | ((* (log (+ 1 (/ i n))) n) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (log (+ 1 (/ i n))) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))) (* i (* n (- 1/2 (* 1/2 (/ 1 n))))) (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (pow (+ (/ i n) 1) n) (* (/ -1 i) n) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* 100 n)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) |
| 4.0ms | n | @ | -inf | ((* (log (+ 1 (/ i n))) n) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (log (+ 1 (/ i n))) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))) (* i (* n (- 1/2 (* 1/2 (/ 1 n))))) (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (pow (+ (/ i n) 1) n) (* (/ -1 i) n) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* 100 n)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) |
| 4.0ms | i | @ | 0 | ((* (log (+ 1 (/ i n))) n) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (log (+ 1 (/ i n))) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))) (* i (* n (- 1/2 (* 1/2 (/ 1 n))))) (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (pow (+ (/ i n) 1) n) (* (/ -1 i) n) (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* 100 n)) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 918 | 7229 |
| 1× | iter limit |
| Inputs |
|---|
i |
(* i (+ 1 (* -1/2 (/ i n)))) |
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n)))))) |
(* 100 n) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))) |
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
(/ i n) |
(* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n))) |
(* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) |
(* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) |
(* 100 i) |
(* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n)))))))) |
(* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
(* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) |
(* i (* n (- 1/2 (* 1/2 (/ 1 n))))) |
(/ (+ n (* -1 n)) i) |
(/ (+ n (+ (* -1 n) (* i n))) i) |
(/ (+ n (+ (* -1 n) (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/ (+ n (+ (* -1 n) (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
1 |
(+ 1 i) |
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) |
(* -1 (/ n i)) |
(* 100 (/ (+ n (* -1 n)) i)) |
(/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i) |
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))) |
(+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))) |
(+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))) |
(* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) |
(+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i)) |
(+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))) |
(+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* 1/3 (/ (pow n 4) (pow i 3))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i)))) |
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(+ (log (/ 1 n)) (* -1 (log (/ 1 i)))) |
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (/ n i))) |
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (/ n i)))) |
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (+ (* 1/3 (/ (pow n 3) (pow i 3))) (/ n i))))) |
(* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) |
(+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) |
(+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2))) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) |
(+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2))) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3))) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) |
(/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i) |
(/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) |
(* 100 (/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i)) |
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(/ (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) i) |
(/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) i) |
(/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1) i) |
(/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1) i) |
(* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))) |
(+ (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))) (/ (pow n 2) i)) |
(+ (* -1 (/ (+ (* -1 (pow n 2)) (* 1/2 (/ (pow n 3) i))) i)) (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow n 3)) (* 1/3 (/ (pow n 4) i))) i)) (* -1 (pow n 2))) i)) (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) |
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(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i)) |
(+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))) |
(+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (/ n i))) |
(+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (* -1 (/ (+ (* -1 n) (* 1/2 (/ (pow n 2) i))) i)))) |
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(+ (* -1 (/ (+ (* -100 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -100 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* 100 (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) i))) i)) (* 100 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) |
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(* -1 (/ (+ n (+ (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i)))) i)) |
(* -1 (/ (+ n (+ (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i)))) i)) |
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) |
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) |
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(* -100 (/ (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i)) |
(* -1 (/ (+ (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) (* 100 (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))))) i)) |
(* -1 (/ (+ (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)) (* 100 (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))))) i)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i)) (* 100 (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))))) i)) |
(/ (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1) i) |
(* -1 (/ (+ (* -1 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -1 (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) |
(* -1 (/ (+ (* -1 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -1 (/ (+ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i)) i))) i)) |
(* -1 (/ (+ (* -1 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) i)) (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i)) |
(* n (+ (log i) (* -1 (log n)))) |
(* n (+ (log i) (+ (* -1 (log n)) (/ n i)))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i)))))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))) |
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)) |
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i)))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))))))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))))))))) |
(+ (log i) (* -1 (log n))) |
(+ (log i) (+ (* -1 (log n)) (/ n i))) |
(+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i))))) |
(+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))) |
(* 100 (* n (+ (log i) (* -1 (log n))))) |
(* n (+ (* 100 (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))) (* 100 (+ (log i) (* -1 (log n)))))) |
(* n (+ (* 100 (+ (log i) (* -1 (log n)))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2)))))) (* 100 (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))) |
(* n (+ (* 100 (+ (log i) (* -1 (log n)))) (* n (+ (* 100 (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)))))))) (* 100 (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))))))))) |
(* -50 i) |
(+ (* -50 i) (* 50 (* i n))) |
-1/2 |
(- (* 1/2 n) 1/2) |
(* -1/2 i) |
(+ (* -1/2 i) (* 1/2 (* i n))) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (/ (log i) i))) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(+ 1 (* n (+ (log i) (* -1 (log n))))) |
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))) |
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))) |
(* 100 (* (pow n 2) (+ (* -1 (/ (log n) i)) (/ (log i) i)))) |
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))))) |
(* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))))))) |
(* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))))))))) |
(/ (* n (+ (log i) (* -1 (log n)))) i) |
(* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) |
(* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(+ i (* -1/2 (/ (pow i 2) n))) |
(+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) |
(+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))) |
(/ (+ i (* -1/2 (/ (pow i 2) n))) n) |
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n) |
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n) |
(* 100 (- (exp i) 1)) |
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1))) |
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) |
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))) |
(* 50 (* i n)) |
(* n (+ (* -50 (/ i n)) (* 50 i))) |
(* 1/2 n) |
(* n (- 1/2 (* 1/2 (/ 1 n)))) |
(* 1/2 (* i n)) |
(* n (+ (* -1/2 (/ i n)) (* 1/2 i))) |
(* n (- (/ (exp i) i) (/ 1 i))) |
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))) |
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))) |
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))) |
(exp i) |
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) |
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) |
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) |
(* 100 (* n (- (/ (exp i) i) (/ 1 i)))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (- (/ (exp i) i) (/ 1 i))))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (- (/ (exp i) i) (/ 1 i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (- (/ (exp i) i) (/ 1 i))) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))))) |
(/ (- (exp i) 1) i) |
(- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)) |
(- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)) |
(- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)) |
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n))) |
(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n))))) |
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n)) |
(+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1))) |
(* -1 (* n (+ (* -50 i) (* 50 (/ i n))))) |
(* -1 (* n (- (* 1/2 (/ 1 n)) 1/2))) |
(* -1 (* n (+ (* -1/2 i) (* 1/2 (/ i n))))) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i)))) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* 1/2 (/ (* i (exp i)) n)) (/ 1 i))))) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (/ 1 i))))) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (/ 1 i))))) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(* -100 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i)))) |
(* -1 (* n (+ (* 50 (/ (* i (exp i)) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i)))))) |
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i)))))) |
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i)))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i)) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i)) |
| Outputs |
|---|
i |
(* i (+ 1 (* -1/2 (/ i n)))) |
(*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))) |
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n)))))) |
(*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 i (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) |
(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n)))))) |
(*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (*.f64 i (fma.f64 #s(literal -1/4 binary64) (/.f64 i (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) |
(* 100 n) |
(*.f64 #s(literal 100 binary64) n) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))) |
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))) |
(fma.f64 #s(literal 100 binary64) n (*.f64 i (fma.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 #s(literal 100 binary64) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
(fma.f64 #s(literal 100 binary64) n (*.f64 i (fma.f64 #s(literal 100 binary64) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 i (fma.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))))))) (*.f64 #s(literal 100 binary64) (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))))) |
(/ i n) |
(/.f64 i n) |
(* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n))) |
(*.f64 i (fma.f64 #s(literal -1/2 binary64) (/.f64 i (pow.f64 n #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) n))) |
(* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) |
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(* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) |
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(exp i) |
(exp.f64 i) |
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(*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i n)))) n) (*.f64 #s(literal 100 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i)))))) |
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i)))))) |
(*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))) (*.f64 i n)))) n))) n) (*.f64 #s(literal 100 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i)))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i)) |
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i n)) (*.f64 #s(literal 1/2 binary64) (*.f64 i (exp.f64 i)))) n) (/.f64 (exp.f64 i) i)) (/.f64 #s(literal 1 binary64) i)) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i)) |
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))) (*.f64 i n)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i)) n) (*.f64 #s(literal 1/2 binary64) (*.f64 i (exp.f64 i)))) n) (/.f64 (exp.f64 i) i)) (/.f64 #s(literal 1 binary64) i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 187 |
| 0 | 64 | 168 |
| 1 | 236 | 163 |
| 2 | 1488 | 163 |
| 0 | 8305 | 162 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (log1p.f64 (/.f64 i n)) n) |
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) |
(log1p.f64 (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(literal 100 binary64) n) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) |
(*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) |
(*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n)) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(*.f64 (/.f64 #s(literal -1 binary64) i) n) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n)) |
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 n #s(literal 2 binary64))) (log1p.f64 (/.f64 i n))) |
(*.f64 (/.f64 (+.f64 n n) #s(literal 2 binary64)) (log1p.f64 (/.f64 i n))) |
(*.f64 (/.f64 n #s(literal 2 binary64)) (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))))) |
(*.f64 (log1p.f64 (/.f64 i n)) (log.f64 (exp.f64 n))) |
(*.f64 (log1p.f64 (/.f64 i n)) n) |
(*.f64 n (log1p.f64 (/.f64 i n))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 n #s(literal 2 binary64))) (log1p.f64 (/.f64 i n)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (+.f64 n n) #s(literal 2 binary64)) (log1p.f64 (/.f64 i n)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 n #s(literal 2 binary64)) (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))))) #s(literal 0 binary64)) |
(fma.f64 (log1p.f64 (/.f64 i n)) (log.f64 (exp.f64 n)) #s(literal 0 binary64)) |
(fma.f64 (log1p.f64 (/.f64 i n)) n #s(literal 0 binary64)) |
(fma.f64 n (log1p.f64 (/.f64 i n)) #s(literal 0 binary64)) |
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))))) (log.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))))) (log.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) #s(literal 1 binary64)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))))) |
(+.f64 #s(literal 0 binary64) (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(+.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 0 binary64)) |
(log.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 2 binary64)) (pow.f64 (/.f64 i n) #s(literal -2 binary64))) n) (/.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal -1 binary64)) i))) |
(*.f64 (/.f64 #s(literal 100 binary64) n) (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 2 binary64)) (pow.f64 (/.f64 i n) #s(literal -2 binary64))) (/.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal -1 binary64)) i))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 i n))) |
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (neg.f64 i)) (neg.f64 n)) |
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal 100 binary64)) n) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) #s(literal 100 binary64)) |
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) i)) |
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) (/.f64 i n))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n))) |
(*.f64 n (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) i) #s(literal 100 binary64))) |
(*.f64 n (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal 100 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 100 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 i #s(literal -1 binary64)) n) #s(literal 100 binary64)) (*.f64 (*.f64 (pow.f64 i #s(literal -1 binary64)) n) #s(literal 100 binary64)))) (fma.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 100 binary64) (*.f64 (*.f64 (pow.f64 i #s(literal -1 binary64)) n) #s(literal 100 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 100 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -100 binary64) (/.f64 (neg.f64 n) i)) (*.f64 #s(literal -100 binary64) (/.f64 (neg.f64 n) i)))) (fma.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 (neg.f64 n) i)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 100 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)) (*.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 100 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1000000 binary64) (pow.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 3 binary64))) (pow.f64 (*.f64 (*.f64 (pow.f64 i #s(literal -1 binary64)) n) #s(literal 100 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 100 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 i #s(literal -1 binary64)) n) #s(literal 100 binary64)) (*.f64 (*.f64 (pow.f64 i #s(literal -1 binary64)) n) #s(literal 100 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 100 binary64)) (*.f64 (*.f64 (pow.f64 i #s(literal -1 binary64)) n) #s(literal 100 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1000000 binary64) (pow.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal -100 binary64) (/.f64 (neg.f64 n) i)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 100 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -100 binary64) (/.f64 (neg.f64 n) i)) (*.f64 #s(literal -100 binary64) (/.f64 (neg.f64 n) i)) (*.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 (neg.f64 n) i)))))) |
(/.f64 (fma.f64 #s(literal 1000000 binary64) (pow.f64 (/.f64 (neg.f64 n) i) #s(literal 3 binary64)) (*.f64 #s(literal 1000000 binary64) (pow.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 100 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)) (*.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 100 binary64)))))) |
(/.f64 (fma.f64 #s(literal 100 binary64) (neg.f64 n) (*.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) n) #s(literal 100 binary64))) i) |
(/.f64 (fma.f64 (neg.f64 n) #s(literal 100 binary64) (*.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) n) #s(literal 100 binary64))) i) |
(/.f64 (fma.f64 #s(literal 100 binary64) (neg.f64 n) (*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) n))) i) |
(/.f64 (fma.f64 (neg.f64 n) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) n))) i) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) n) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (neg.f64 n))) i) |
(/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) n) (*.f64 #s(literal 100 binary64) (neg.f64 n))) i) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) n) #s(literal 100 binary64) (*.f64 (neg.f64 n) #s(literal 100 binary64))) i) |
(/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) n) (*.f64 (neg.f64 n) #s(literal 100 binary64))) i) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 #s(literal 100 binary64) n))) (neg.f64 (neg.f64 i))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 2 binary64)) (pow.f64 (/.f64 i n) #s(literal -2 binary64))) #s(literal 100 binary64))) (neg.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64)) (/.f64 i n)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 n) i) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 3 binary64))) #s(literal 100 binary64))) (neg.f64 (fma.f64 (/.f64 (neg.f64 n) i) (/.f64 (-.f64 (neg.f64 n) (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) n)) i) (pow.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) (neg.f64 (neg.f64 i))) |
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 2 binary64)) (pow.f64 (/.f64 i n) #s(literal -2 binary64))))) (neg.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64)) (/.f64 i n)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (+.f64 (pow.f64 (/.f64 (neg.f64 n) i) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 (neg.f64 n) i) (/.f64 (-.f64 (neg.f64 n) (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) n)) i) (pow.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) #s(literal 100 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) n) #s(literal 100 binary64)) (*.f64 #s(literal 100 binary64) (neg.f64 n))) i))) |
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(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) (/.f64 (neg.f64 i) n)) |
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(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n)))) (neg.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64)) i))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64))))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) i))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (neg.f64 (neg.f64 i))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) i) (*.f64 (neg.f64 i) #s(literal 1 binary64))) (*.f64 (neg.f64 i) i)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) i) (*.f64 i #s(literal 1 binary64))) (*.f64 i i)) |
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (*.f64 (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64)) i)) |
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) i)) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (neg.f64 i)) |
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) |
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i)) |
(neg.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) i) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64)) i)) (/.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64)) i))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) i) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) i) #s(literal 2 binary64)) (+.f64 (pow.f64 i #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) i) (pow.f64 i #s(literal -1 binary64)))))) (/.f64 (pow.f64 i #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) i) #s(literal 2 binary64)) (+.f64 (pow.f64 i #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) i) (pow.f64 i #s(literal -1 binary64))))))) |
(-.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) i) (*.f64 (neg.f64 i) i)) (/.f64 (*.f64 (neg.f64 i) #s(literal 1 binary64)) (*.f64 (neg.f64 i) i))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) i) (*.f64 i i)) (/.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 i i))) |
(-.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) (*.f64 (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64)) i)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64)) i))) |
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) i)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) i))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64))) i) (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64)) #s(literal -1 binary64)) i)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))))) i) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) #s(literal -1 binary64)) i)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) i) (pow.f64 i #s(literal -1 binary64))) |
(+.f64 (/.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (/.f64 (-.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)) i)) |
Compiled 28 987 to 3 434 computations (88.2% saved)
35 alts after pruning (30 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 715 | 22 | 737 |
| Fresh | 7 | 8 | 15 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 723 | 35 | 758 |
| Status | Accuracy | Program |
|---|---|---|
| 16.6% | (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 i n) #s(literal -2 binary64))) #s(literal 100 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n))) | |
| 63.2% | (/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i) | |
| 28.1% | (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)))))) (/.f64 i n)) | |
| ✓ | 72.0% | (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) |
| 34.6% | (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) (/.f64 i n)) | |
| 57.7% | (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) (expm1.f64 i))) (/.f64 i n)) | |
| 37.6% | (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) | |
| 27.9% | (*.f64 (/.f64 (expm1.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64))))) i) (*.f64 #s(literal 100 binary64) n)) | |
| ✓ | 71.3% | (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n)) |
| 71.3% | (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n) | |
| ▶ | 70.4% | (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i)) |
| 10.7% | (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (+.f64 (log.f64 i) (*.f64 #s(literal -1 binary64) (log.f64 n)))) i)) (*.f64 #s(literal 100 binary64) n)) | |
| ▶ | 74.3% | (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal 100 binary64) n)) |
| 49.4% | (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) (*.f64 #s(literal 100 binary64) n)) | |
| 24.2% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))) | |
| ✓ | 24.3% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
| 9.2% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) | |
| 13.4% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) | |
| ✓ | 29.0% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 20.9% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 (neg.f64 i) n)) (/.f64 (neg.f64 i) n)) (neg.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64))))) | |
| 34.7% | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))) (/.f64 i n))) | |
| 29.6% | (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 i i)) (*.f64 n n))) | |
| 70.1% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))) | |
| 49.4% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 n (*.f64 i (fma.f64 i (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) | |
| 10.4% | (*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (fma.f64 #s(literal -1 binary64) n (*.f64 i (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) i))) | |
| 17.5% | (*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) | |
| ▶ | 51.2% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i))) |
| ▶ | 36.4% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (*.f64 n (/.f64 #s(literal -1/2 binary64) n)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))))))) |
| 51.5% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 i n) (*.f64 #s(literal 50 binary64) i)))))) | |
| 51.2% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) | |
| ▶ | 46.8% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)))) |
| 51.5% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) #s(literal 100 binary64))) | |
| ✓ | 47.0% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
| 48.7% | #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)) (*.f64 i (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) i)) | |
| 47.0% | #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 i n) (*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)))) i)) |
Compiled 1 838 to 1 217 computations (33.8% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1796875 | (/.f64 (*.f64 #s(literal 100 binary64) n) i) | |
| accuracy | 5.112148383394061 | (log1p.f64 (/.f64 i n)) | |
| accuracy | 11.02287395306124 | (*.f64 (log1p.f64 (/.f64 i n)) n) | |
| accuracy | 11.070897769778409 | (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i)) | |
| accuracy | 0.1328125 | (*.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (*.f64 n (/.f64 #s(literal -1/2 binary64) n)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))))) | |
| accuracy | 0.140625 | (*.f64 n (/.f64 #s(literal -1/2 binary64) n)) | |
| accuracy | 20.45761747070193 | (/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (*.f64 n (/.f64 #s(literal -1/2 binary64) n)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))) | |
| accuracy | 27.303463212421832 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (*.f64 n (/.f64 #s(literal -1/2 binary64) n)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))))))) | |
| accuracy | 0.0078125 | (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) | |
| accuracy | 0.05859375 | (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) | |
| accuracy | 0.3659079002416761 | (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i) | |
| accuracy | 27.303463212421832 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i))) | |
| accuracy | 0.0 | (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i))) | |
| accuracy | 0.0 | (*.f64 #s(literal -50 binary64) i) | |
| accuracy | 27.303463212421832 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)))) | |
| accuracy | 35.84890026904224 | #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)) | |
| accuracy | 0.0 | (*.f64 #s(literal 100 binary64) n) | |
| accuracy | 0.0 | (expm1.f64 i) | |
| accuracy | 0.08203125 | (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal 100 binary64) n)) | |
| accuracy | 14.95226454887491 | #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) |
| 121.0ms | 144× | 1 | valid |
| 67.0ms | 44× | 2 | valid |
| 16.0ms | 48× | 0 | valid |
| 6.0ms | 2× | 5 | exit |
| 5.0ms | 16× | 0 | invalid |
| 5.0ms | 2× | 3 | valid |
Compiled 432 to 50 computations (88.4% saved)
ival-pow: 52.0ms (28.2% of total)ival-mult: 42.0ms (22.8% of total)adjust: 39.0ms (21.2% of total)ival-div: 23.0ms (12.5% of total)ival-sub: 9.0ms (4.9% of total)ival-add: 7.0ms (3.8% of total)ival-expm1: 5.0ms (2.7% of total)ival-log1p: 5.0ms (2.7% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal 100 binary64) n)) |
(expm1.f64 i) |
(*.f64 #s(literal 100 binary64) n) |
#s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)))) |
(*.f64 #s(literal -50 binary64) i) |
(fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i))) |
(*.f64 (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) |
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (*.f64 n (/.f64 #s(literal -1/2 binary64) n)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (*.f64 n (/.f64 #s(literal -1/2 binary64) n)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))) |
(*.f64 n (/.f64 #s(literal -1/2 binary64) n)) |
(*.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (*.f64 n (/.f64 #s(literal -1/2 binary64) n)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i)) |
(*.f64 (log1p.f64 (/.f64 i n)) n) |
(log1p.f64 (/.f64 i n)) |
(/.f64 (*.f64 #s(literal 100 binary64) n) i) |
| Outputs |
|---|
1 |
(+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))) |
(+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))) |
(+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))) |
(* 100 n) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))) |
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
i |
(* i (+ 1 (* 1/2 i))) |
(* i (+ 1 (* i (+ 1/2 (* 1/6 i))))) |
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))) |
(* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) |
(* -50 i) |
(* 100 (/ (* i (- (* 1/4 (pow n 2)) 1/4)) (+ 1/2 (* 1/2 n)))) |
(* i (+ 1 (* -1/2 (/ i n)))) |
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n)))))) |
(/ i n) |
(* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n))) |
(* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) |
(* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) |
(* 100 (/ n i)) |
(/ (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) i) |
(/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) i) |
(/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1) i) |
(/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1) i) |
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(- (exp i) 1) |
(* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i)))) |
(* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) |
(+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i)) |
(+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))) |
(+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* 1/3 (/ (pow n 4) (pow i 3))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i)))) |
(+ (log (/ 1 n)) (* -1 (log (/ 1 i)))) |
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (/ n i))) |
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (/ n i)))) |
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (+ (* 1/3 (/ (pow n 3) (pow i 3))) (/ n i))))) |
(/ (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1) i) |
(* -1 (/ (+ (* -1 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -1 (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) |
(* -1 (/ (+ (* -1 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -1 (/ (+ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i)) i))) i)) |
(* -1 (/ (+ (* -1 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) i)) (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i)) |
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i)) |
(* -1 (* i (+ (* -100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -100 (/ n i))))) |
(* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))) |
(+ (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))) (/ (pow n 2) i)) |
(+ (* -1 (/ (+ (* -1 (pow n 2)) (* 1/2 (/ (pow n 3) i))) i)) (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow n 3)) (* 1/3 (/ (pow n 4) i))) i)) (* -1 (pow n 2))) i)) (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) |
(+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))) |
(+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (/ n i))) |
(+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (* -1 (/ (+ (* -1 n) (* 1/2 (/ (pow n 2) i))) i)))) |
(+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (* -1 (/ (+ (* -1 n) (* -1 (/ (+ (* -1/2 (pow n 2)) (* 1/3 (/ (pow n 3) i))) i))) i)))) |
(/ (* n (+ (log i) (* -1 (log n)))) i) |
(* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) |
(* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)) |
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i)))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))))))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))))))))) |
(+ (* -50 i) (* 50 (* i n))) |
(+ (* -50 i) (* n (+ 100 (* 50 i)))) |
-1/2 |
(- (* 1/2 n) 1/2) |
-50 |
(- (* 50 n) 50) |
(* n (+ (log i) (* -1 (log n)))) |
(* n (+ (log i) (+ (* -1 (log n)) (/ n i)))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i)))))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))) |
(+ (log i) (* -1 (log n))) |
(+ (log i) (+ (* -1 (log n)) (/ n i))) |
(+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i))))) |
(+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))) |
(/ (- (exp i) 1) i) |
(- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)) |
(- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)) |
(- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))) |
(* 50 (* i n)) |
(* n (+ (* -50 (/ i n)) (* 50 i))) |
(* n (+ 100 (* 50 i))) |
(* n (+ 100 (+ (* -50 (/ i n)) (* 50 i)))) |
(* 1/2 n) |
(* n (- 1/2 (* 1/2 (/ 1 n)))) |
(* 50 n) |
(* n (- 50 (* 50 (/ 1 n)))) |
(+ i (* -1/2 (/ (pow i 2) n))) |
(+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) |
(+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) |
(/ (+ i (* -1/2 (/ (pow i 2) n))) n) |
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n) |
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i)) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i)) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n))))) |
(* -1 (* n (+ (* -50 i) (* 50 (/ i n))))) |
(* -1 (* n (- (* -50 i) 100))) |
(* -1 (* n (- (+ (* -50 i) (* 50 (/ i n))) 100))) |
(* -1 (* n (- (* 1/2 (/ 1 n)) 1/2))) |
(* -1 (* n (- (* 50 (/ 1 n)) 50))) |
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n))) |
(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n))) |
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | n | @ | 0 | ((/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* 100 n)) (- (exp i) 1) (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* -50 i) (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* 100 (* (- 1/2 (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n) (* 100 (* (- 1/2 (/ 1/2 n)) n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (* (* n 1/2) (* n 1/2)) (* (* n (/ -1/2 n)) (* n (/ -1/2 n)))) (- (* n 1/2) (* n (/ -1/2 n)))) (* n (/ -1/2 n)) (* 100 (* i (/ (- (* (* n 1/2) (* n 1/2)) (* (* n (/ -1/2 n)) (* n (/ -1/2 n)))) (- (* n 1/2) (* n (/ -1/2 n)))))) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ (* 100 n) i)) |
| 5.0ms | n | @ | -inf | ((/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* 100 n)) (- (exp i) 1) (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* -50 i) (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* 100 (* (- 1/2 (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n) (* 100 (* (- 1/2 (/ 1/2 n)) n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (* (* n 1/2) (* n 1/2)) (* (* n (/ -1/2 n)) (* n (/ -1/2 n)))) (- (* n 1/2) (* n (/ -1/2 n)))) (* n (/ -1/2 n)) (* 100 (* i (/ (- (* (* n 1/2) (* n 1/2)) (* (* n (/ -1/2 n)) (* n (/ -1/2 n)))) (- (* n 1/2) (* n (/ -1/2 n)))))) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ (* 100 n) i)) |
| 4.0ms | i | @ | 0 | ((/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* 100 n)) (- (exp i) 1) (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* -50 i) (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* 100 (* (- 1/2 (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n) (* 100 (* (- 1/2 (/ 1/2 n)) n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (* (* n 1/2) (* n 1/2)) (* (* n (/ -1/2 n)) (* n (/ -1/2 n)))) (- (* n 1/2) (* n (/ -1/2 n)))) (* n (/ -1/2 n)) (* 100 (* i (/ (- (* (* n 1/2) (* n 1/2)) (* (* n (/ -1/2 n)) (* n (/ -1/2 n)))) (- (* n 1/2) (* n (/ -1/2 n)))))) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ (* 100 n) i)) |
| 3.0ms | i | @ | inf | ((/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* 100 n)) (- (exp i) 1) (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* -50 i) (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* 100 (* (- 1/2 (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n) (* 100 (* (- 1/2 (/ 1/2 n)) n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (* (* n 1/2) (* n 1/2)) (* (* n (/ -1/2 n)) (* n (/ -1/2 n)))) (- (* n 1/2) (* n (/ -1/2 n)))) (* n (/ -1/2 n)) (* 100 (* i (/ (- (* (* n 1/2) (* n 1/2)) (* (* n (/ -1/2 n)) (* n (/ -1/2 n)))) (- (* n 1/2) (* n (/ -1/2 n)))))) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ (* 100 n) i)) |
| 3.0ms | i | @ | -inf | ((/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* 100 n)) (- (exp i) 1) (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* -50 i) (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* 100 (* (- 1/2 (/ 1/2 n)) n)) i) (* (- 1/2 (/ 1/2 n)) n) (* 100 (* (- 1/2 (/ 1/2 n)) n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (* (* n 1/2) (* n 1/2)) (* (* n (/ -1/2 n)) (* n (/ -1/2 n)))) (- (* n 1/2) (* n (/ -1/2 n)))) (* n (/ -1/2 n)) (* 100 (* i (/ (- (* (* n 1/2) (* n 1/2)) (* (* n (/ -1/2 n)) (* n (/ -1/2 n)))) (- (* n 1/2) (* n (/ -1/2 n)))))) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ (* 100 n) i)) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ (* 100 n) i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 631 | 3274 |
| 1× | iter limit |
| Inputs |
|---|
1 |
(+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))) |
(+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))) |
(+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))) |
(* 100 n) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))) |
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
i |
(* i (+ 1 (* 1/2 i))) |
(* i (+ 1 (* i (+ 1/2 (* 1/6 i))))) |
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))) |
(* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) |
(* -50 i) |
(* 100 (/ (* i (- (* 1/4 (pow n 2)) 1/4)) (+ 1/2 (* 1/2 n)))) |
(* i (+ 1 (* -1/2 (/ i n)))) |
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n)))))) |
(/ i n) |
(* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n))) |
(* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) |
(* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) |
(* 100 (/ n i)) |
(/ (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) i) |
(/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) i) |
(/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1) i) |
(/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1) i) |
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(- (exp i) 1) |
(* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i)))) |
(* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) |
(+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i)) |
(+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))) |
(+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* 1/3 (/ (pow n 4) (pow i 3))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i)))) |
(+ (log (/ 1 n)) (* -1 (log (/ 1 i)))) |
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (/ n i))) |
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (/ n i)))) |
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (+ (* 1/3 (/ (pow n 3) (pow i 3))) (/ n i))))) |
(/ (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1) i) |
(* -1 (/ (+ (* -1 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -1 (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) |
(* -1 (/ (+ (* -1 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -1 (/ (+ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i)) i))) i)) |
(* -1 (/ (+ (* -1 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) i)) (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i)) |
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i)) |
(* -1 (* i (+ (* -100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -100 (/ n i))))) |
(* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))) |
(+ (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))) (/ (pow n 2) i)) |
(+ (* -1 (/ (+ (* -1 (pow n 2)) (* 1/2 (/ (pow n 3) i))) i)) (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow n 3)) (* 1/3 (/ (pow n 4) i))) i)) (* -1 (pow n 2))) i)) (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) |
(+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))) |
(+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (/ n i))) |
(+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (* -1 (/ (+ (* -1 n) (* 1/2 (/ (pow n 2) i))) i)))) |
(+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (* -1 (/ (+ (* -1 n) (* -1 (/ (+ (* -1/2 (pow n 2)) (* 1/3 (/ (pow n 3) i))) i))) i)))) |
(/ (* n (+ (log i) (* -1 (log n)))) i) |
(* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) |
(* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)) |
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i)))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))))))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))))))))) |
(+ (* -50 i) (* 50 (* i n))) |
(+ (* -50 i) (* n (+ 100 (* 50 i)))) |
-1/2 |
(- (* 1/2 n) 1/2) |
-50 |
(- (* 50 n) 50) |
(* n (+ (log i) (* -1 (log n)))) |
(* n (+ (log i) (+ (* -1 (log n)) (/ n i)))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i)))))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))) |
(+ (log i) (* -1 (log n))) |
(+ (log i) (+ (* -1 (log n)) (/ n i))) |
(+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i))))) |
(+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))) |
(/ (- (exp i) 1) i) |
(- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)) |
(- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)) |
(- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))) |
(* 50 (* i n)) |
(* n (+ (* -50 (/ i n)) (* 50 i))) |
(* n (+ 100 (* 50 i))) |
(* n (+ 100 (+ (* -50 (/ i n)) (* 50 i)))) |
(* 1/2 n) |
(* n (- 1/2 (* 1/2 (/ 1 n)))) |
(* 50 n) |
(* n (- 50 (* 50 (/ 1 n)))) |
(+ i (* -1/2 (/ (pow i 2) n))) |
(+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) |
(+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) |
(/ (+ i (* -1/2 (/ (pow i 2) n))) n) |
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n) |
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i)) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i)) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n))))) |
(* -1 (* n (+ (* -50 i) (* 50 (/ i n))))) |
(* -1 (* n (- (* -50 i) 100))) |
(* -1 (* n (- (+ (* -50 i) (* 50 (/ i n))) 100))) |
(* -1 (* n (- (* 1/2 (/ 1 n)) 1/2))) |
(* -1 (* n (- (* 50 (/ 1 n)) 50))) |
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n))) |
(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n))) |
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))) |
(+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) |
(+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))) |
(+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) |
(+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))) |
(+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (*.f64 i (-.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) |
(* 100 n) |
(*.f64 #s(literal 100 binary64) n) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
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(*.f64 n (+.f64 (log.f64 i) (fma.f64 #s(literal -1 binary64) (log.f64 n) (/.f64 n i)))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i)))))) |
(*.f64 n (+.f64 (log.f64 i) (fma.f64 #s(literal -1 binary64) (log.f64 n) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 n (pow.f64 i #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) i)))))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))) |
(*.f64 n (+.f64 (log.f64 i) (fma.f64 #s(literal -1 binary64) (log.f64 n) (*.f64 n (fma.f64 n (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 n (pow.f64 i #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) i)))))) |
(+ (log i) (* -1 (log n))) |
(+.f64 (log.f64 i) (*.f64 #s(literal -1 binary64) (log.f64 n))) |
(+ (log i) (+ (* -1 (log n)) (/ n i))) |
(+.f64 (log.f64 i) (fma.f64 #s(literal -1 binary64) (log.f64 n) (/.f64 n i))) |
(+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i))))) |
(+.f64 (log.f64 i) (fma.f64 #s(literal -1 binary64) (log.f64 n) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 n (pow.f64 i #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) i))))) |
(+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))) |
(+.f64 (log.f64 i) (fma.f64 #s(literal -1 binary64) (log.f64 n) (*.f64 n (fma.f64 n (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 n (pow.f64 i #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) i))))) |
(/ (- (exp i) 1) i) |
(/.f64 (expm1.f64 i) i) |
(- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (/.f64 (exp.f64 i) i)) (/.f64 #s(literal 1 binary64) i)) |
(- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (+.f64 (/.f64 (exp.f64 i) i) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i (pow.f64 n #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) i)) |
(- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (+.f64 (/.f64 (exp.f64 i) i) (+.f64 (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)))))) (*.f64 i (pow.f64 n #s(literal 3 binary64)))) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i (pow.f64 n #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) i)) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) |
(*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))) |
(*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))) |
(*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)))))) (*.f64 i (pow.f64 n #s(literal 3 binary64)))) (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))) |
(* 50 (* i n)) |
(*.f64 #s(literal 50 binary64) (*.f64 i n)) |
(* n (+ (* -50 (/ i n)) (* 50 i))) |
(*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 i n) (*.f64 #s(literal 50 binary64) i))) |
(* n (+ 100 (* 50 i))) |
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))) |
(* n (+ 100 (+ (* -50 (/ i n)) (* 50 i)))) |
(*.f64 n (+.f64 #s(literal 100 binary64) (fma.f64 #s(literal -50 binary64) (/.f64 i n) (*.f64 #s(literal 50 binary64) i)))) |
(* 1/2 n) |
(*.f64 #s(literal 1/2 binary64) n) |
(* n (- 1/2 (* 1/2 (/ 1 n)))) |
(*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) |
(* 50 n) |
(*.f64 #s(literal 50 binary64) n) |
(* n (- 50 (* 50 (/ 1 n)))) |
(*.f64 n (-.f64 #s(literal 50 binary64) (*.f64 #s(literal 50 binary64) (/.f64 #s(literal 1 binary64) n)))) |
(+ i (* -1/2 (/ (pow i 2) n))) |
(+.f64 i (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 i #s(literal 2 binary64)) n))) |
(+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) |
(+.f64 i (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 i #s(literal 2 binary64)) n) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 n #s(literal 2 binary64)))))) |
(+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) |
(+.f64 i (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 i #s(literal 2 binary64)) n) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 n #s(literal 2 binary64))))))) |
(/ (+ i (* -1/2 (/ (pow i 2) n))) n) |
(/.f64 (+.f64 i (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 i #s(literal 2 binary64)) n))) n) |
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n) |
(/.f64 (+.f64 i (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 i #s(literal 2 binary64)) n) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 n #s(literal 2 binary64)))))) n) |
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n) |
(/.f64 (+.f64 i (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 i #s(literal 2 binary64)) n) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 n #s(literal 2 binary64))))))) n) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i)) |
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i n)) (*.f64 #s(literal 1/2 binary64) (*.f64 i (exp.f64 i)))) n) (/.f64 (exp.f64 i) i)) (/.f64 #s(literal 1 binary64) i)) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i)) |
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))) (*.f64 i n)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i)) n) (*.f64 #s(literal 1/2 binary64) (*.f64 i (exp.f64 i)))) n) (/.f64 (exp.f64 i) i)) (/.f64 #s(literal 1 binary64) i)) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n))))) |
(*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n))))) |
(*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i n)))) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n))))) |
(*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))) (*.f64 i n)))) n))) n))))) |
(* -1 (* n (+ (* -50 i) (* 50 (/ i n))))) |
(*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -50 binary64) i (*.f64 #s(literal 50 binary64) (/.f64 i n))))) |
(* -1 (* n (- (* -50 i) 100))) |
(*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (*.f64 #s(literal -50 binary64) i) #s(literal 100 binary64)))) |
(* -1 (* n (- (+ (* -50 i) (* 50 (/ i n))) 100))) |
(*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (fma.f64 #s(literal -50 binary64) i (*.f64 #s(literal 50 binary64) (/.f64 i n))) #s(literal 100 binary64)))) |
(* -1 (* n (- (* 1/2 (/ 1 n)) 1/2))) |
(*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)))) |
(* -1 (* n (- (* 50 (/ 1 n)) 50))) |
(*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (*.f64 #s(literal 50 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 50 binary64)))) |
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n))) |
(+.f64 i (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 i #s(literal 3 binary64)) n) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 2 binary64)))) n))) |
(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n))) |
(+.f64 i (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) n) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 2 binary64)))) n))) |
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n)) |
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) i (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 i #s(literal 2 binary64)) n))) n)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n)) |
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) i (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 i #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 i #s(literal 3 binary64)) n))) n))) n)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n)) |
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) i (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) n))) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 i #s(literal 2 binary64)))) n))) n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 317 |
| 0 | 89 | 239 |
| 1 | 344 | 237 |
| 2 | 2512 | 237 |
| 0 | 9226 | 235 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal 100 binary64) n)) |
(expm1.f64 i) |
(*.f64 #s(literal 100 binary64) n) |
#s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)))) |
(*.f64 #s(literal -50 binary64) i) |
(fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i))) |
(*.f64 (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) |
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (*.f64 n (/.f64 #s(literal -1/2 binary64) n)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (*.f64 n (/.f64 #s(literal -1/2 binary64) n)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))) |
(*.f64 n (/.f64 #s(literal -1/2 binary64) n)) |
(*.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (*.f64 n (/.f64 #s(literal -1/2 binary64) n)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i)) |
(*.f64 (log1p.f64 (/.f64 i n)) n) |
(log1p.f64 (/.f64 i n)) |
(/.f64 (*.f64 #s(literal 100 binary64) n) i) |
| Outputs |
|---|
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) |
(*.f64 (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) n) #s(literal 100 binary64)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i))) n) |
(*.f64 (*.f64 #s(literal 100 binary64) n) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i))) |
(*.f64 #s(literal 100 binary64) (*.f64 n #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 n (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)))) |
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(/.f64 (*.f64 (*.f64 #s(literal -100 binary64) n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n)))) (*.f64 (neg.f64 i) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal -100 binary64) n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64))))) (*.f64 (neg.f64 i) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n)))) (*.f64 i (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64))))) (*.f64 i (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (*.f64 #s(literal -100 binary64) n)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (neg.f64 i))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (*.f64 #s(literal 100 binary64) n)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) (*.f64 #s(literal -100 binary64) n)) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (neg.f64 i))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) (*.f64 #s(literal 100 binary64) n)) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i)) |
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) n) i) |
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 n #s(literal 2 binary64))) (log1p.f64 (/.f64 i n))) |
(*.f64 (/.f64 (+.f64 n n) #s(literal 2 binary64)) (log1p.f64 (/.f64 i n))) |
(*.f64 (/.f64 n #s(literal 2 binary64)) (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) |
(*.f64 (log1p.f64 (/.f64 i n)) (log.f64 (exp.f64 n))) |
(*.f64 (log1p.f64 (/.f64 i n)) n) |
(*.f64 n (log1p.f64 (/.f64 i n))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 n #s(literal 2 binary64))) (log1p.f64 (/.f64 i n)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (+.f64 n n) #s(literal 2 binary64)) (log1p.f64 (/.f64 i n)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 n #s(literal 2 binary64)) (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) #s(literal 0 binary64)) |
(fma.f64 (log1p.f64 (/.f64 i n)) (log.f64 (exp.f64 n)) #s(literal 0 binary64)) |
(fma.f64 (log1p.f64 (/.f64 i n)) n #s(literal 0 binary64)) |
(fma.f64 n (log1p.f64 (/.f64 i n)) #s(literal 0 binary64)) |
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (log.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (log.f64 (*.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (log.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) |
(+.f64 #s(literal 0 binary64) (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(+.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 0 binary64)) |
(log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) |
(log1p.f64 (/.f64 i n)) |
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)))) |
(-.f64 (log1p.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 i n))))) |
(-.f64 (log1p.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64))) (log1p.f64 (*.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64))))) |
(log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) |
(*.f64 (/.f64 n i) #s(literal 100 binary64)) |
(*.f64 #s(literal 100 binary64) (/.f64 n i)) |
(*.f64 n (/.f64 #s(literal 100 binary64) i)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -100 binary64) n))) (neg.f64 (neg.f64 (neg.f64 i)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -100 binary64) n)) (neg.f64 (neg.f64 i))) |
(/.f64 (*.f64 #s(literal -100 binary64) n) (neg.f64 i)) |
(/.f64 (*.f64 #s(literal 100 binary64) n) i) |
(neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) n) i)) |
(neg.f64 (/.f64 (*.f64 #s(literal 100 binary64) n) (neg.f64 i))) |
Compiled 28 462 to 3 484 computations (87.8% saved)
34 alts after pruning (27 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 564 | 12 | 576 |
| Fresh | 10 | 15 | 25 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 577 | 34 | 611 |
| Status | Accuracy | Program |
|---|---|---|
| 63.2% | (/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i) | |
| ✓ | 72.0% | (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) |
| 57.7% | (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) (expm1.f64 i))) (/.f64 i n)) | |
| 37.6% | (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) | |
| ✓ | 71.3% | (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n)) |
| ▶ | 74.3% | (*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i))) n) |
| 70.3% | (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 n (/.f64 #s(literal 100 binary64) i))) | |
| 28.4% | (*.f64 (expm1.f64 (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 (*.f64 #s(literal 100 binary64) n) i)) | |
| 10.7% | (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (+.f64 (log.f64 i) (*.f64 #s(literal -1 binary64) (log.f64 n)))) i)) (*.f64 #s(literal 100 binary64) n)) | |
| ✓ | 74.3% | (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal 100 binary64) n)) |
| ▶ | 53.7% | (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i)) (*.f64 #s(literal 100 binary64) n)) |
| 53.3% | (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) i)) (*.f64 #s(literal 100 binary64) n)) | |
| 51.4% | (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i)) (*.f64 #s(literal 100 binary64) n)) | |
| ▶ | 49.4% | (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) (*.f64 #s(literal 100 binary64) n)) |
| 24.2% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))) | |
| ✓ | 24.3% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
| 13.4% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) | |
| ✓ | 29.0% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 20.9% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 (neg.f64 i) n)) (/.f64 (neg.f64 i) n)) (neg.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64))))) | |
| 29.6% | (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 i i)) (*.f64 n n))) | |
| 70.1% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))) | |
| 49.4% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 n (*.f64 i (fma.f64 i (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) | |
| 17.5% | (*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) | |
| 45.6% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal -100 binary64)) i))) | |
| 33.8% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) n)) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) n) n))) i))) | |
| 50.8% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(approx (* 100 (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 50 binary64) n)) i))) | |
| 51.2% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) | |
| ✓ | 46.8% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)))) |
| 46.8% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (-.f64 #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)) (*.f64 #s(literal -100 binary64) n))) | |
| ▶ | 51.5% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) #s(literal 100 binary64))) |
| ✓ | 47.0% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
| ▶ | 51.2% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))))) |
| 33.9% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 i (fma.f64 #s(literal 100 binary64) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 #s(literal 100 binary64) (/.f64 n i)))))) | |
| 47.0% | #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 i n) (*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)))) i)) |
Compiled 1 740 to 1 178 computations (32.3% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.20171950400381294 | (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) | |
| accuracy | 0.8085131504158829 | (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) | |
| accuracy | 4.691320618964572 | (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) | |
| accuracy | 27.925677136653757 | #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) | |
| accuracy | 0.20703125 | (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i))) | |
| accuracy | 0.34375 | (*.f64 #s(literal 1/24 binary64) i) | |
| accuracy | 14.95226454887491 | #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i)) | |
| accuracy | 18.32666393276462 | #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) | |
| accuracy | 0.01171875 | (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) | |
| accuracy | 0.05859375 | (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) #s(literal 100 binary64)) | |
| accuracy | 0.05859375 | (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) | |
| accuracy | 27.303463212421832 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) #s(literal 100 binary64))) | |
| accuracy | 0.00390625 | (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)) | |
| accuracy | 0.06640625 | (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))) | |
| accuracy | 15.321557535374113 | #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))) | |
| accuracy | 27.303463212421832 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))))) | |
| accuracy | 0.0 | (expm1.f64 i) | |
| accuracy | 0.0703125 | (*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i))) n) | |
| accuracy | 0.21223676310088962 | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i))) | |
| accuracy | 14.95226454887491 | #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) |
| 181.0ms | 144× | 1 | valid |
| 74.0ms | 44× | 2 | valid |
| 20.0ms | 48× | 0 | valid |
| 7.0ms | 16× | 0 | invalid |
| 7.0ms | 2× | 5 | exit |
| 5.0ms | 2× | 3 | valid |
Compiled 487 to 61 computations (87.5% saved)
ival-pow: 51.0ms (23.4% of total)ival-mult: 46.0ms (21.1% of total)adjust: 45.0ms (20.7% of total)ival-add: 21.0ms (9.6% of total)ival-div: 19.0ms (8.7% of total)const: 13.0ms (6% of total)ival-sub: 9.0ms (4.1% of total)ival-expm1: 5.0ms (2.3% of total)ival-log1p: 5.0ms (2.3% of total)ival-pow2: 3.0ms (1.4% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i))) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i))) n) |
(expm1.f64 i) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))) |
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))) |
(+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) #s(literal 100 binary64))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) #s(literal 100 binary64)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) |
#s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) |
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i)) |
(*.f64 #s(literal 1/24 binary64) i) |
(*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i))) |
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) |
(*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) |
(*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) |
| Outputs |
|---|
1 |
(+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))) |
(+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))) |
(+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))) |
100 |
(+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))) |
(+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))) |
(* 100 n) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))) |
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
i |
(* i (+ 1 (* 1/2 i))) |
(* i (+ 1 (* i (+ 1/2 (* 1/6 i))))) |
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))) |
(+ (* 50 (* i n)) (* 100 n)) |
(+ 100 (* 50 i)) |
n |
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) |
(* 1/24 i) |
(* 1/6 i) |
(* i (+ 1/6 (* 1/24 i))) |
(* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) |
(* i (- 1/2 (* 1/2 (/ 1 n)))) |
(* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) |
(/ (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) i) |
(/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) i) |
(/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1) i) |
(/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1) i) |
(* 100 (/ (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) i)) |
(/ (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2))) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2))) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3))) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(- (exp i) 1) |
(* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) |
(* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i)))) |
(* 50 (* i n)) |
(* i (+ (* 50 n) (* 100 (/ n i)))) |
(* 50 i) |
(* i (+ 50 (* 100 (/ 1 i)))) |
(* i (* n (- 1/2 (* 1/2 (/ 1 n))))) |
(* i (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i))) |
(* 1/24 (pow i 2)) |
(* (pow i 2) (+ 1/24 (* 1/6 (/ 1 i)))) |
(* (pow i 2) (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) |
(* (pow i 2) (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* 1/2 (/ 1 i)))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* i n))))) |
(/ (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1) i) |
(* -1 (/ (+ (* -1 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -1 (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) |
(* -1 (/ (+ (* -1 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -1 (/ (+ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i)) i))) i)) |
(* -1 (/ (+ (* -1 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) i)) (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i)) |
(* 100 (/ (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1) i)) |
(* -1 (/ (+ (* -100 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -100 (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) |
(* -1 (/ (+ (* -100 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -1 (/ (+ (* 100 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) i)) |
(* -1 (/ (+ (* -100 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (* 100 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i))) i)) (* 100 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i)) |
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i)) |
(* -1 (* i (+ (* -100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -100 (/ n i))))) |
(* -1 (* i (+ (* -100 (/ n i)) (* -50 n)))) |
(* -1 (* i (+ (* -1 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -1 (/ n i))))) |
(/ (* n (+ (log i) (* -1 (log n)))) i) |
(* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) |
(* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(* 100 (/ (* n (+ (log i) (* -1 (log n)))) i)) |
(* n (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i)))) |
(* n (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))))))) |
(* n (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))))))))) |
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)) |
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i)))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))))))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))))))))) |
(* -50 i) |
(+ (* -50 i) (* n (+ 100 (* 50 i)))) |
(* n (+ 100 (* 50 i))) |
-1/2 |
(- (* 1/2 n) 1/2) |
(+ (* -50 i) (* 100 (* n (+ 1 (* 1/2 i))))) |
(* -1/2 i) |
(+ (* -1/2 i) (* n (+ 1 (* 1/2 i)))) |
(* 1/3 (/ i (pow n 2))) |
(/ (+ (* -1/2 (* i n)) (* 1/3 i)) (pow n 2)) |
(/ (+ (* 1/3 i) (* n (+ (* -1/2 i) (* 1/6 (* i n))))) (pow n 2)) |
(* 1/3 (/ (pow i 2) (pow n 2))) |
(/ (+ (* 1/3 (pow i 2)) (* i (* n (- (* -1/2 i) 1/2)))) (pow n 2)) |
(/ (+ (* 1/3 (pow i 2)) (* n (+ (* i (* n (+ 1/2 (* 1/6 i)))) (* i (- (* -1/2 i) 1/2))))) (pow n 2)) |
(/ 1 (pow n 2)) |
(/ (- (exp i) 1) i) |
(- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)) |
(- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)) |
(- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)) |
(* 100 (/ (- (exp i) 1) i)) |
(+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))) |
(+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))) |
(+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))) |
(* n (+ 100 (+ (* -50 (/ i n)) (* 50 i)))) |
(* 1/2 n) |
(* n (- 1/2 (* 1/2 (/ 1 n)))) |
(* 100 (* n (+ 1 (* 1/2 i)))) |
(* n (+ (* -50 (/ i n)) (* 100 (+ 1 (* 1/2 i))))) |
(* n (+ 1 (* 1/2 i))) |
(* n (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))) |
(+ (* -1/2 (/ i n)) (* 1/6 i)) |
(+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2))))) |
(* i (+ 1/2 (* 1/6 i))) |
(+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)) |
(+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i)) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i)) |
(+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i))) n)) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n))))) |
(* -1 (* n (- (* -50 i) 100))) |
(* -1 (* n (- (+ (* -50 i) (* 50 (/ i n))) 100))) |
(* -1 (* n (- (* 1/2 (/ 1 n)) 1/2))) |
(* -100 (* n (- (* -1/2 i) 1))) |
(* -1 (* n (+ (* 50 (/ i n)) (* 100 (- (* -1/2 i) 1))))) |
(* -1 (* n (- (* -1/2 i) 1))) |
(* -1 (* n (- (+ (* -1/2 i) (* 1/2 (/ i n))) 1))) |
(+ (* -1 (/ (+ (* -1/3 (/ i n)) (* 1/2 i)) n)) (* 1/6 i)) |
(+ (* -1 (/ (* i (+ 1/2 (* 1/2 i))) n)) (* i (+ 1/2 (* 1/6 i)))) |
(+ (* -1 (/ (+ (* -1/3 (/ (pow i 2) n)) (* i (+ 1/2 (* 1/2 i)))) n)) (* i (+ 1/2 (* 1/6 i)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | i | @ | -inf | ((/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (* n (+ 100 (* 50 i))) (+ 100 (* 50 i)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (- 1/2 (/ 1/2 n)) n) (* (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) 100) (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (- (exp i) 1) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* 1/24 i) (* i (+ 1/6 (* 1/24 i))) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (/ 1 (pow n 2))) |
| 4.0ms | i | @ | inf | ((/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (* n (+ 100 (* 50 i))) (+ 100 (* 50 i)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (- 1/2 (/ 1/2 n)) n) (* (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) 100) (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (- (exp i) 1) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* 1/24 i) (* i (+ 1/6 (* 1/24 i))) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (/ 1 (pow n 2))) |
| 4.0ms | i | @ | 0 | ((/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (* n (+ 100 (* 50 i))) (+ 100 (* 50 i)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (- 1/2 (/ 1/2 n)) n) (* (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) 100) (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (- (exp i) 1) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* 1/24 i) (* i (+ 1/6 (* 1/24 i))) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (/ 1 (pow n 2))) |
| 3.0ms | n | @ | 0 | ((/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (* n (+ 100 (* 50 i))) (+ 100 (* 50 i)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (- 1/2 (/ 1/2 n)) n) (* (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) 100) (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (- (exp i) 1) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* 1/24 i) (* i (+ 1/6 (* 1/24 i))) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (/ 1 (pow n 2))) |
| 3.0ms | n | @ | -inf | ((/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (* n (+ 100 (* 50 i))) (+ 100 (* 50 i)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (- 1/2 (/ 1/2 n)) n) (* (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) 100) (+ (* (* (- 1/2 (/ 1/2 n)) n) i) n) (- (exp i) 1) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* 1/24 i) (* i (+ 1/6 (* 1/24 i))) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (/ 1 (pow n 2))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 621 | 3973 |
| 1× | iter limit |
| Inputs |
|---|
1 |
(+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))) |
(+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))) |
(+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))) |
100 |
(+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))) |
(+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))) |
(* 100 n) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))) |
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
i |
(* i (+ 1 (* 1/2 i))) |
(* i (+ 1 (* i (+ 1/2 (* 1/6 i))))) |
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))) |
(+ (* 50 (* i n)) (* 100 n)) |
(+ 100 (* 50 i)) |
n |
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) |
(* 1/24 i) |
(* 1/6 i) |
(* i (+ 1/6 (* 1/24 i))) |
(* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) |
(* i (- 1/2 (* 1/2 (/ 1 n)))) |
(* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) |
(/ (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) i) |
(/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) i) |
(/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1) i) |
(/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1) i) |
(* 100 (/ (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) i)) |
(/ (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2))) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2))) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3))) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(- (exp i) 1) |
(* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) |
(* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i)))) |
(* 50 (* i n)) |
(* i (+ (* 50 n) (* 100 (/ n i)))) |
(* 50 i) |
(* i (+ 50 (* 100 (/ 1 i)))) |
(* i (* n (- 1/2 (* 1/2 (/ 1 n))))) |
(* i (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i))) |
(* 1/24 (pow i 2)) |
(* (pow i 2) (+ 1/24 (* 1/6 (/ 1 i)))) |
(* (pow i 2) (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) |
(* (pow i 2) (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* 1/2 (/ 1 i)))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* i n))))) |
(/ (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1) i) |
(* -1 (/ (+ (* -1 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -1 (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) |
(* -1 (/ (+ (* -1 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -1 (/ (+ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i)) i))) i)) |
(* -1 (/ (+ (* -1 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) i)) (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i)) |
(* 100 (/ (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1) i)) |
(* -1 (/ (+ (* -100 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -100 (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) |
(* -1 (/ (+ (* -100 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -1 (/ (+ (* 100 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) i)) |
(* -1 (/ (+ (* -100 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (* 100 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i))) i)) (* 100 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i)) |
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i)) |
(* -1 (* i (+ (* -100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -100 (/ n i))))) |
(* -1 (* i (+ (* -100 (/ n i)) (* -50 n)))) |
(* -1 (* i (+ (* -1 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -1 (/ n i))))) |
(/ (* n (+ (log i) (* -1 (log n)))) i) |
(* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) |
(* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(* 100 (/ (* n (+ (log i) (* -1 (log n)))) i)) |
(* n (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i)))) |
(* n (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))))))) |
(* n (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))))))))) |
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)) |
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i)))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))))))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))))))))) |
(* -50 i) |
(+ (* -50 i) (* n (+ 100 (* 50 i)))) |
(* n (+ 100 (* 50 i))) |
-1/2 |
(- (* 1/2 n) 1/2) |
(+ (* -50 i) (* 100 (* n (+ 1 (* 1/2 i))))) |
(* -1/2 i) |
(+ (* -1/2 i) (* n (+ 1 (* 1/2 i)))) |
(* 1/3 (/ i (pow n 2))) |
(/ (+ (* -1/2 (* i n)) (* 1/3 i)) (pow n 2)) |
(/ (+ (* 1/3 i) (* n (+ (* -1/2 i) (* 1/6 (* i n))))) (pow n 2)) |
(* 1/3 (/ (pow i 2) (pow n 2))) |
(/ (+ (* 1/3 (pow i 2)) (* i (* n (- (* -1/2 i) 1/2)))) (pow n 2)) |
(/ (+ (* 1/3 (pow i 2)) (* n (+ (* i (* n (+ 1/2 (* 1/6 i)))) (* i (- (* -1/2 i) 1/2))))) (pow n 2)) |
(/ 1 (pow n 2)) |
(/ (- (exp i) 1) i) |
(- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)) |
(- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)) |
(- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)) |
(* 100 (/ (- (exp i) 1) i)) |
(+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))) |
(+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))) |
(+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))) |
(* n (+ 100 (+ (* -50 (/ i n)) (* 50 i)))) |
(* 1/2 n) |
(* n (- 1/2 (* 1/2 (/ 1 n)))) |
(* 100 (* n (+ 1 (* 1/2 i)))) |
(* n (+ (* -50 (/ i n)) (* 100 (+ 1 (* 1/2 i))))) |
(* n (+ 1 (* 1/2 i))) |
(* n (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))) |
(+ (* -1/2 (/ i n)) (* 1/6 i)) |
(+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2))))) |
(* i (+ 1/2 (* 1/6 i))) |
(+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)) |
(+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i)) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i)) |
(+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i))) n)) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n))))) |
(* -1 (* n (- (* -50 i) 100))) |
(* -1 (* n (- (+ (* -50 i) (* 50 (/ i n))) 100))) |
(* -1 (* n (- (* 1/2 (/ 1 n)) 1/2))) |
(* -100 (* n (- (* -1/2 i) 1))) |
(* -1 (* n (+ (* 50 (/ i n)) (* 100 (- (* -1/2 i) 1))))) |
(* -1 (* n (- (* -1/2 i) 1))) |
(* -1 (* n (- (+ (* -1/2 i) (* 1/2 (/ i n))) 1))) |
(+ (* -1 (/ (+ (* -1/3 (/ i n)) (* 1/2 i)) n)) (* 1/6 i)) |
(+ (* -1 (/ (* i (+ 1/2 (* 1/2 i))) n)) (* i (+ 1/2 (* 1/6 i)))) |
(+ (* -1 (/ (+ (* -1/3 (/ (pow i 2) n)) (* i (+ 1/2 (* 1/2 i)))) n)) (* i (+ 1/2 (* 1/6 i)))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))) |
(+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) |
(+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))) |
(+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) |
(+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))) |
(+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (*.f64 i (-.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) |
100 |
#s(literal 100 binary64) |
(+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))) |
(+.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) |
(+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))) |
(+.f64 #s(literal 100 binary64) (*.f64 i (fma.f64 #s(literal 100 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 #s(literal 100 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))) |
(+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))) |
(+.f64 #s(literal 100 binary64) (*.f64 i (fma.f64 #s(literal 100 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 i (fma.f64 #s(literal 100 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))))))) (*.f64 #s(literal 100 binary64) (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) |
(* 100 n) |
(*.f64 #s(literal 100 binary64) n) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))) |
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))) |
(fma.f64 #s(literal 100 binary64) n (*.f64 i (fma.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 #s(literal 100 binary64) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
(fma.f64 #s(literal 100 binary64) n (*.f64 i (fma.f64 #s(literal 100 binary64) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 i (fma.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))))))) (*.f64 #s(literal 100 binary64) (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))))) |
i |
(* i (+ 1 (* 1/2 i))) |
(*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i))) |
(* i (+ 1 (* i (+ 1/2 (* 1/6 i))))) |
(*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i))))) |
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))) |
(*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i))))))) |
(+ (* 50 (* i n)) (* 100 n)) |
(fma.f64 #s(literal 50 binary64) (*.f64 i n) (*.f64 #s(literal 100 binary64) n)) |
(+ 100 (* 50 i)) |
(+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)) |
n |
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) |
(+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) |
(* 1/24 i) |
(*.f64 #s(literal 1/24 binary64) i) |
(* 1/6 i) |
(*.f64 #s(literal 1/6 binary64) i) |
(* i (+ 1/6 (* 1/24 i))) |
(*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i))) |
(* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) |
(*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) |
(* i (- 1/2 (* 1/2 (/ 1 n)))) |
(*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) |
(* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) |
(*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) |
(/ (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) i) |
(/.f64 (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) i) |
(/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) i) |
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (/.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i))))))) i)) #s(literal 1 binary64)) i) |
(/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1) i) |
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) (pow.f64 i #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i))))))) i))) #s(literal 1 binary64)) i) |
(/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1) i) |
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) (pow.f64 i #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64)))))) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i))))))) i)))) #s(literal 1 binary64)) i) |
(* 100 (/ (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) i)) |
(/ (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/.f64 (fma.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i))))))) i))) i) |
(/ (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2))) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/.f64 (fma.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) (pow.f64 i #s(literal 2 binary64))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i))))))) i)))) i) |
(/ (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2))) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3))) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(/.f64 (fma.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) (pow.f64 i #s(literal 2 binary64))) (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i)))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64)))))) (pow.f64 i #s(literal 3 binary64))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i))))))) i))))) i) |
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i))))))) i)) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i))))))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) i))))))) i))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
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(*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))) |
(*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)))))) (*.f64 i (pow.f64 n #s(literal 3 binary64)))) (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))) |
(* n (+ 100 (+ (* -50 (/ i n)) (* 50 i)))) |
(*.f64 n (+.f64 #s(literal 100 binary64) (fma.f64 #s(literal -50 binary64) (/.f64 i n) (*.f64 #s(literal 50 binary64) i)))) |
(* 1/2 n) |
(*.f64 #s(literal 1/2 binary64) n) |
(* n (- 1/2 (* 1/2 (/ 1 n)))) |
(*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) |
(* 100 (* n (+ 1 (* 1/2 i)))) |
(*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) |
(* n (+ (* -50 (/ i n)) (* 100 (+ 1 (* 1/2 i))))) |
(*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 i n) (*.f64 #s(literal 100 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i))))) |
(* n (+ 1 (* 1/2 i))) |
(*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i))) |
(* n (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))) |
(*.f64 n (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (*.f64 #s(literal 1/2 binary64) i)))) |
(+ (* -1/2 (/ i n)) (* 1/6 i)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (*.f64 #s(literal 1/6 binary64) i)) |
(+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (fma.f64 #s(literal 1/6 binary64) i (*.f64 #s(literal 1/3 binary64) (/.f64 i (pow.f64 n #s(literal 2 binary64)))))) |
(* i (+ 1/2 (* 1/6 i))) |
(*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i))) |
(+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)) |
(fma.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n)) |
(+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 i #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i)) |
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i n)) (*.f64 #s(literal 1/2 binary64) (*.f64 i (exp.f64 i)))) n) (/.f64 (exp.f64 i) i)) (/.f64 #s(literal 1 binary64) i)) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i)) |
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))) (*.f64 i n)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i)) n) (*.f64 #s(literal 1/2 binary64) (*.f64 i (exp.f64 i)))) n) (/.f64 (exp.f64 i) i)) (/.f64 #s(literal 1 binary64) i)) |
(+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i n)) (*.f64 #s(literal 50 binary64) (*.f64 i (exp.f64 i)))) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i))) n)) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))) (*.f64 i n)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i))) n) (*.f64 #s(literal 50 binary64) (*.f64 i (exp.f64 i)))) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n))))) |
(*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n))))) |
(*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i n)))) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n))))) |
(*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))) (*.f64 i n)))) n))) n))))) |
(* -1 (* n (- (* -50 i) 100))) |
(*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (*.f64 #s(literal -50 binary64) i) #s(literal 100 binary64)))) |
(* -1 (* n (- (+ (* -50 i) (* 50 (/ i n))) 100))) |
(*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (fma.f64 #s(literal -50 binary64) i (*.f64 #s(literal 50 binary64) (/.f64 i n))) #s(literal 100 binary64)))) |
(* -1 (* n (- (* 1/2 (/ 1 n)) 1/2))) |
(*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)))) |
(* -100 (* n (- (* -1/2 i) 1))) |
(*.f64 #s(literal -100 binary64) (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1 binary64)))) |
(* -1 (* n (+ (* 50 (/ i n)) (* 100 (- (* -1/2 i) 1))))) |
(*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal 50 binary64) (/.f64 i n) (*.f64 #s(literal 100 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1 binary64)))))) |
(* -1 (* n (- (* -1/2 i) 1))) |
(*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1 binary64)))) |
(* -1 (* n (- (+ (* -1/2 i) (* 1/2 (/ i n))) 1))) |
(*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (fma.f64 #s(literal -1/2 binary64) i (*.f64 #s(literal 1/2 binary64) (/.f64 i n))) #s(literal 1 binary64)))) |
(+ (* -1 (/ (+ (* -1/3 (/ i n)) (* 1/2 i)) n)) (* 1/6 i)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (*.f64 #s(literal 1/2 binary64) i)) n) (*.f64 #s(literal 1/6 binary64) i)) |
(+ (* -1 (/ (* i (+ 1/2 (* 1/2 i))) n)) (* i (+ 1/2 (* 1/6 i)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) i))) n) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))) |
(+ (* -1 (/ (+ (* -1/3 (/ (pow i 2) n)) (* i (+ 1/2 (* 1/2 i)))) n)) (* i (+ 1/2 (* 1/6 i)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 i #s(literal 2 binary64)) n) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) i)))) n) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 351 |
| 0 | 103 | 313 |
| 1 | 451 | 313 |
| 2 | 3318 | 307 |
| 0 | 9643 | 279 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i))) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i))) n) |
(expm1.f64 i) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))) |
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))) |
(+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) #s(literal 100 binary64))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) #s(literal 100 binary64)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) |
#s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) |
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i)) |
(*.f64 #s(literal 1/24 binary64) i) |
(*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i))) |
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) |
(*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) |
(*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) #s(literal 100 binary64)) |
(*.f64 (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) n) #s(literal 100 binary64)) |
(*.f64 (*.f64 #s(literal 100 binary64) n) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i))) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i))) n) |
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) n)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 n (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 i i))) (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))) |
(/.f64 (expm1.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64)))) |
(expm1.f64 i) |
(-.f64 (/.f64 (pow.f64 (exp.f64 i) #s(literal 2 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 i) #s(literal 3 binary64)) (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(-.f64 (exp.f64 i) #s(literal 1 binary64)) |
(+.f64 (cosh.f64 i) (-.f64 (sinh.f64 i) #s(literal 1 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n))) |
#s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n)) |
(*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n) |
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 10000 binary64) (pow.f64 (*.f64 #s(literal 50 binary64) i) #s(literal 2 binary64))) n) (-.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))) |
(/.f64 (*.f64 (fma.f64 #s(literal 125000 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 1000000 binary64)) n) (fma.f64 (*.f64 #s(literal 50 binary64) i) (-.f64 (*.f64 #s(literal 50 binary64) i) #s(literal 100 binary64)) #s(literal 10000 binary64))) |
(/.f64 (*.f64 n (-.f64 #s(literal 10000 binary64) (pow.f64 (*.f64 #s(literal 50 binary64) i) #s(literal 2 binary64)))) (-.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))) |
(/.f64 (*.f64 n (fma.f64 #s(literal 125000 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 1000000 binary64))) (fma.f64 (*.f64 #s(literal 50 binary64) i) (-.f64 (*.f64 #s(literal 50 binary64) i) #s(literal 100 binary64)) #s(literal 10000 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 10000 binary64) (*.f64 n n)) (pow.f64 (*.f64 (*.f64 #s(literal 50 binary64) i) n) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 (*.f64 #s(literal 50 binary64) i) n))) |
(/.f64 (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1000000 binary64) (*.f64 #s(literal 125000 binary64) (pow.f64 (*.f64 n i) #s(literal 3 binary64)))) (fma.f64 #s(literal 10000 binary64) (*.f64 n n) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 50 binary64) i) n) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 (*.f64 #s(literal 50 binary64) i) n))))) |
(fma.f64 (*.f64 n #s(literal 50 binary64)) i (*.f64 #s(literal 100 binary64) n)) |
(fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n)) |
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(fma.f64 #s(literal 1/2 binary64) i (*.f64 i (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (/.f64 #s(literal -1/2 binary64) n)))) |
(fma.f64 i (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) (*.f64 i (/.f64 #s(literal -1/2 binary64) n))) |
(fma.f64 i #s(literal 1/2 binary64) (*.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (/.f64 #s(literal -1/2 binary64) n)) i)) |
(fma.f64 i #s(literal 1/2 binary64) (*.f64 i (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (/.f64 #s(literal -1/2 binary64) n)))) |
(+.f64 (*.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i) (*.f64 (/.f64 #s(literal -1/2 binary64) n) i)) |
(+.f64 (*.f64 i (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i #s(literal 1/2 binary64))) (*.f64 i (/.f64 #s(literal -1/2 binary64) n))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (/.f64 #s(literal -1/2 binary64) n)) i)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 i (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (/.f64 #s(literal -1/2 binary64) n)))) |
(*.f64 (fabs.f64 (pow.f64 n #s(literal -1 binary64))) (fabs.f64 (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (neg.f64 n) #s(literal -1 binary64)) (pow.f64 (neg.f64 n) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 n) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 n) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) n)) |
(*.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64))) (neg.f64 (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))) |
(pow.f64 (neg.f64 (*.f64 (neg.f64 n) n)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 n n) #s(literal -1 binary64)) |
(pow.f64 n #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 n) n)) |
(/.f64 (pow.f64 n #s(literal -1 binary64)) n) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 n) n))) |
(/.f64 #s(literal 1 binary64) (*.f64 n n)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 n n))) |
(-.f64 (cosh.f64 (*.f64 (log.f64 n) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 n) #s(literal 2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)) (log.f64 n))) |
(exp.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (*.f64 (log.f64 n) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 n) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 n) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 n) #s(literal -2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 n) #s(literal 2 binary64)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 n) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 n) #s(literal -2 binary64))) (sinh.f64 (*.f64 (log.f64 n) #s(literal -2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 n) #s(literal 2 binary64))) (sinh.f64 (neg.f64 (*.f64 (log.f64 n) #s(literal 2 binary64))))) |
Compiled 17 026 to 2 307 computations (86.5% saved)
44 alts after pruning (36 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 329 | 17 | 346 |
| Fresh | 3 | 19 | 22 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 7 | 7 |
| Total | 336 | 44 | 380 |
| Status | Accuracy | Program |
|---|---|---|
| 63.2% | (/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i) | |
| ✓ | 72.0% | (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) |
| 57.7% | (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) (expm1.f64 i))) (/.f64 i n)) | |
| 37.6% | (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) | |
| ✓ | 71.3% | (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n)) |
| 10.7% | (*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (+.f64 (log.f64 i) (*.f64 #s(literal -1 binary64) (log.f64 n)))) i))) n) | |
| ✓ | 74.3% | (*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i))) n) |
| 53.7% | (*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i))) n) | |
| 51.4% | (*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i))) n) | |
| 70.3% | (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 n (/.f64 #s(literal 100 binary64) i))) | |
| 28.4% | (*.f64 (expm1.f64 (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 (*.f64 #s(literal 100 binary64) n) i)) | |
| 49.4% | (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))) (*.f64 #s(literal 100 binary64) n)) | |
| ✓ | 74.3% | (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal 100 binary64) n)) |
| 53.7% | (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) i)) (*.f64 #s(literal 100 binary64) n)) | |
| 53.7% | (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 i i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) i))))))) i)) (*.f64 #s(literal 100 binary64) n)) | |
| 53.9% | (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (*.f64 #s(literal 1/2 binary64) i)) n) (*.f64 #s(literal 1/6 binary64) i)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) (*.f64 #s(literal 100 binary64) n)) | |
| 53.4% | (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) #s(approx (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) (*.f64 #s(literal 100 binary64) n)) | |
| 24.2% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))) | |
| ✓ | 24.3% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
| 13.4% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) | |
| ✓ | 29.0% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 20.9% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 (neg.f64 i) n)) (/.f64 (neg.f64 i) n)) (neg.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64))))) | |
| 29.6% | (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 i i)) (*.f64 n n))) | |
| 70.1% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))) | |
| 49.4% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 n (*.f64 i (fma.f64 i (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) | |
| 17.5% | (*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) | |
| 45.6% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal -100 binary64)) i))) | |
| 33.8% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) n)) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) n) n))) i))) | |
| 50.8% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(approx (* 100 (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 50 binary64) n)) i))) | |
| 51.2% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) | |
| ✓ | 46.8% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)))) |
| 46.8% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (-.f64 #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)) (*.f64 #s(literal -100 binary64) n))) | |
| 26.8% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (sqrt.f64 n) (sqrt.f64 n) (*.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) #s(literal 100 binary64))) | |
| 46.8% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n) #s(literal 100 binary64))) | |
| ✓ | 47.0% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
| 51.2% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n)))) | |
| 51.2% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n))) | |
| 51.0% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) i)))))))) | |
| 9.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 #s(literal 50 binary64) i))))) | |
| 33.9% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 i (fma.f64 #s(literal 100 binary64) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 #s(literal 100 binary64) (/.f64 n i)))))) | |
| 2.8% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 #s(literal -50 binary64) i))) | |
| 33.6% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 i (fma.f64 #s(literal 50 binary64) n (*.f64 #s(literal 100 binary64) (/.f64 n i))))))) | |
| 9.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) | |
| 47.0% | #s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 i n) (*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)))) i)) |
Compiled 3 628 to 1 363 computations (62.4% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 #s(literal -50 binary64) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n) #s(literal 100 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (-.f64 #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)) (*.f64 #s(literal -100 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(approx (* 100 (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 50 binary64) n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) #s(approx (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 i (fma.f64 #s(literal 50 binary64) n (*.f64 #s(literal 100 binary64) (/.f64 n i))))))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) i)))))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 i n) (*.f64 #s(literal 50 binary64) i)))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i))) n) |
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 i n) (*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal -100 binary64)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i))) n) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 i (fma.f64 #s(literal 100 binary64) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 #s(literal 100 binary64) (/.f64 n i)))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 i i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) i))))))) i)) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (sqrt.f64 n) (sqrt.f64 n) (*.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (fma.f64 #s(literal -1 binary64) n (*.f64 i (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) n)) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) n) n))) i))) |
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)) (*.f64 i (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) i)) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (*.f64 #s(literal 1/2 binary64) i)) n) (*.f64 #s(literal 1/6 binary64) i)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (*.f64 n (/.f64 #s(literal -1/2 binary64) n)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))))))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i))) n) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) (expm1.f64 i))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 n (*.f64 i (fma.f64 i (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (+.f64 (log.f64 i) (*.f64 #s(literal -1 binary64) (log.f64 n)))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (+.f64 (log.f64 i) (*.f64 #s(literal -1 binary64) (log.f64 n)))) i))) n) |
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n)) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 n (/.f64 #s(literal 100 binary64) i))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i)) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n)) |
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i) |
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 i i)) (*.f64 n n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 (neg.f64 i) n)) (/.f64 (neg.f64 i) n)) (neg.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64))))) |
(*.f64 (expm1.f64 (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 (*.f64 #s(literal 100 binary64) n) i)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64))))) i) (*.f64 #s(literal 100 binary64) n)) |
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)))))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 i n) #s(literal -2 binary64))) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 i n) #s(literal -2 binary64))) #s(literal 100 binary64)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) |
(*.f64 (expm1.f64 (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 (*.f64 #s(literal 100 binary64) n) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
4 calls:
| 19.0ms | n |
| 17.0ms | i |
| 14.0ms | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 13.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 3 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 95.3% | 3 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 88.5% | 4 | i |
| 90.1% | 3 | n |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 #s(literal -50 binary64) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n) #s(literal 100 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (-.f64 #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)) (*.f64 #s(literal -100 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(approx (* 100 (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 50 binary64) n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) #s(approx (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 i (fma.f64 #s(literal 50 binary64) n (*.f64 #s(literal 100 binary64) (/.f64 n i))))))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) i)))))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 i n) (*.f64 #s(literal 50 binary64) i)))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i))) n) |
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 i n) (*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal -100 binary64)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i))) n) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 i (fma.f64 #s(literal 100 binary64) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 #s(literal 100 binary64) (/.f64 n i)))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 i i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) i))))))) i)) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (sqrt.f64 n) (sqrt.f64 n) (*.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (fma.f64 #s(literal -1 binary64) n (*.f64 i (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) n)) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) n) n))) i))) |
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)) (*.f64 i (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) i)) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (*.f64 #s(literal 1/2 binary64) i)) n) (*.f64 #s(literal 1/6 binary64) i)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (*.f64 n (/.f64 #s(literal -1/2 binary64) n)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))))))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i))) n) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) (expm1.f64 i))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 n (*.f64 i (fma.f64 i (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (+.f64 (log.f64 i) (*.f64 #s(literal -1 binary64) (log.f64 n)))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (+.f64 (log.f64 i) (*.f64 #s(literal -1 binary64) (log.f64 n)))) i))) n) |
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n)) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 n (/.f64 #s(literal 100 binary64) i))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i)) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n)) |
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i) |
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 i i)) (*.f64 n n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 (neg.f64 i) n)) (/.f64 (neg.f64 i) n)) (neg.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
2 calls:
| 12.0ms | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 12.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.2% | 3 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 95.2% | 3 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
Compiled 28 to 18 computations (35.7% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 #s(literal -50 binary64) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n) #s(literal 100 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (-.f64 #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)) (*.f64 #s(literal -100 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(approx (* 100 (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 50 binary64) n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) #s(approx (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 i (fma.f64 #s(literal 50 binary64) n (*.f64 #s(literal 100 binary64) (/.f64 n i))))))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) i)))))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 i n) (*.f64 #s(literal 50 binary64) i)))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i))) n) |
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 i n) (*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal -100 binary64)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i))) n) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 i (fma.f64 #s(literal 100 binary64) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 #s(literal 100 binary64) (/.f64 n i)))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 i i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) i))))))) i)) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (sqrt.f64 n) (sqrt.f64 n) (*.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (fma.f64 #s(literal -1 binary64) n (*.f64 i (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) n)) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) n) n))) i))) |
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)) (*.f64 i (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) i)) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (*.f64 #s(literal 1/2 binary64) i)) n) (*.f64 #s(literal 1/6 binary64) i)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (*.f64 n (/.f64 #s(literal -1/2 binary64) n)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))))))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i))) n) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) (expm1.f64 i))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 n (*.f64 i (fma.f64 i (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (+.f64 (log.f64 i) (*.f64 #s(literal -1 binary64) (log.f64 n)))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (+.f64 (log.f64 i) (*.f64 #s(literal -1 binary64) (log.f64 n)))) i))) n) |
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n)) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 n (/.f64 #s(literal 100 binary64) i))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i)) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n)) |
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i) |
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
2 calls:
| 13.0ms | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 12.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.1% | 3 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 94.1% | 3 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
Compiled 28 to 18 computations (35.7% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 #s(literal -50 binary64) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n) #s(literal 100 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (-.f64 #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)) (*.f64 #s(literal -100 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(approx (* 100 (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 50 binary64) n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) #s(approx (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 i (fma.f64 #s(literal 50 binary64) n (*.f64 #s(literal 100 binary64) (/.f64 n i))))))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) i)))))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 i n) (*.f64 #s(literal 50 binary64) i)))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i))) n) |
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 i n) (*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal -100 binary64)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i))) n) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 i (fma.f64 #s(literal 100 binary64) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 #s(literal 100 binary64) (/.f64 n i)))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 i i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) i))))))) i)) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (sqrt.f64 n) (sqrt.f64 n) (*.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (fma.f64 #s(literal -1 binary64) n (*.f64 i (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) n)) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) n) n))) i))) |
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)) (*.f64 i (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) i)) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (*.f64 #s(literal 1/2 binary64) i)) n) (*.f64 #s(literal 1/6 binary64) i)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (*.f64 n (/.f64 #s(literal -1/2 binary64) n)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))))))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i))) n) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) (expm1.f64 i))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 n (*.f64 i (fma.f64 i (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (+.f64 (log.f64 i) (*.f64 #s(literal -1 binary64) (log.f64 n)))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (+.f64 (log.f64 i) (*.f64 #s(literal -1 binary64) (log.f64 n)))) i))) n) |
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n)) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 n (/.f64 #s(literal 100 binary64) i))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (*.f64 #s(literal 100 binary64) n) i)) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n)) |
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) #s(literal 100 binary64)) i) |
| Outputs |
|---|
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n)) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
2 calls:
| 11.0ms | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 11.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.1% | 3 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 94.1% | 3 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
Compiled 28 to 18 computations (35.7% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 #s(literal -50 binary64) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n) #s(literal 100 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (-.f64 #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)) (*.f64 #s(literal -100 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(approx (* 100 (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 50 binary64) n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) #s(approx (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 i (fma.f64 #s(literal 50 binary64) n (*.f64 #s(literal 100 binary64) (/.f64 n i))))))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) i)))))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 i n) (*.f64 #s(literal 50 binary64) i)))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i))) n) |
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 i n) (*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal -100 binary64)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i))) n) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 i (fma.f64 #s(literal 100 binary64) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 #s(literal 100 binary64) (/.f64 n i)))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 i i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) i))))))) i)) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (sqrt.f64 n) (sqrt.f64 n) (*.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (fma.f64 #s(literal -1 binary64) n (*.f64 i (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) n)) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) n) n))) i))) |
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)) (*.f64 i (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) i)) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (*.f64 #s(literal 1/2 binary64) i)) n) (*.f64 #s(literal 1/6 binary64) i)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (*.f64 n (/.f64 #s(literal -1/2 binary64) n)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))))))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i))) n) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) (expm1.f64 i))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 n (*.f64 i (fma.f64 i (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (+.f64 (log.f64 i) (*.f64 #s(literal -1 binary64) (log.f64 n)))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (+.f64 (log.f64 i) (*.f64 #s(literal -1 binary64) (log.f64 n)))) i))) n) |
| Outputs |
|---|
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
4 calls:
| 14.0ms | i |
| 13.0ms | n |
| 10.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 10.0ms | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.7% | 2 | i |
| 80.0% | 3 | n |
| 82.3% | 4 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 82.3% | 4 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 #s(literal -50 binary64) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n) #s(literal 100 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (-.f64 #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)) (*.f64 #s(literal -100 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(approx (* 100 (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 50 binary64) n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) #s(approx (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 i (fma.f64 #s(literal 50 binary64) n (*.f64 #s(literal 100 binary64) (/.f64 n i))))))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) i)))))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 i n) (*.f64 #s(literal 50 binary64) i)))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i))) n) |
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 i n) (*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal -100 binary64)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i))) n) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 i (fma.f64 #s(literal 100 binary64) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 #s(literal 100 binary64) (/.f64 n i)))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 i i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) i))))))) i)) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (sqrt.f64 n) (sqrt.f64 n) (*.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (fma.f64 #s(literal -1 binary64) n (*.f64 i (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) n)) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) n) n))) i))) |
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)) (*.f64 i (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) i)) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (*.f64 #s(literal 1/2 binary64) i)) n) (*.f64 #s(literal 1/6 binary64) i)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (*.f64 n (/.f64 #s(literal -1/2 binary64) n)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))))))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i))) n) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) (expm1.f64 i))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| Outputs |
|---|
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
2 calls:
| 9.0ms | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 9.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.3% | 4 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 82.3% | 4 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
Compiled 28 to 18 computations (35.7% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 #s(literal -50 binary64) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n) #s(literal 100 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (-.f64 #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)) (*.f64 #s(literal -100 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(approx (* 100 (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 50 binary64) n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) #s(approx (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 i (fma.f64 #s(literal 50 binary64) n (*.f64 #s(literal 100 binary64) (/.f64 n i))))))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) i)))))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 i n) (*.f64 #s(literal 50 binary64) i)))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i))) n) |
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 i n) (*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal -100 binary64)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i))) n) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 i (fma.f64 #s(literal 100 binary64) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 #s(literal 100 binary64) (/.f64 n i)))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 i i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) i))))))) i)) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (sqrt.f64 n) (sqrt.f64 n) (*.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (fma.f64 #s(literal -1 binary64) n (*.f64 i (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) n)) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) n) n))) i))) |
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)) (*.f64 i (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) i)) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (*.f64 #s(literal 1/2 binary64) i)) n) (*.f64 #s(literal 1/6 binary64) i)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (*.f64 n (/.f64 #s(literal -1/2 binary64) n)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))))))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i))) n) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) (expm1.f64 i))) (/.f64 i n)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i))) n) |
4 calls:
| 12.0ms | n |
| 12.0ms | i |
| 9.0ms | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 9.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.5% | 3 | n |
| 76.0% | 2 | i |
| 74.3% | 1 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 74.3% | 1 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 #s(literal -50 binary64) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n) #s(literal 100 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (-.f64 #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)) (*.f64 #s(literal -100 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(approx (* 100 (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 50 binary64) n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) #s(approx (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 i (fma.f64 #s(literal 50 binary64) n (*.f64 #s(literal 100 binary64) (/.f64 n i))))))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) i)))))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 i n) (*.f64 #s(literal 50 binary64) i)))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i))) n) |
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 i n) (*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal -100 binary64)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i))) n) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 i (fma.f64 #s(literal 100 binary64) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 #s(literal 100 binary64) (/.f64 n i)))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 i i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) i))))))) i)) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (sqrt.f64 n) (sqrt.f64 n) (*.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (fma.f64 #s(literal -1 binary64) n (*.f64 i (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) n)) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) n) n))) i))) |
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)) (*.f64 i (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) i)) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (*.f64 #s(literal 1/2 binary64) i)) n) (*.f64 #s(literal 1/6 binary64) i)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (*.f64 n (/.f64 #s(literal -1/2 binary64) n)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))))))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal 100 binary64) n)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal 100 binary64) n)) |
1 calls:
| 46.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.5% | 3 | n |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 #s(literal -50 binary64) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n) #s(literal 100 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (-.f64 #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)) (*.f64 #s(literal -100 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(approx (* 100 (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 50 binary64) n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) #s(approx (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 i (fma.f64 #s(literal 50 binary64) n (*.f64 #s(literal 100 binary64) (/.f64 n i))))))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) i)))))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 i n) (*.f64 #s(literal 50 binary64) i)))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i))) n) |
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 i n) (*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal -100 binary64)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i))) n) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 i (fma.f64 #s(literal 100 binary64) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 #s(literal 100 binary64) (/.f64 n i)))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 i i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) i))))))) i)) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (sqrt.f64 n) (sqrt.f64 n) (*.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (fma.f64 #s(literal -1 binary64) n (*.f64 i (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) n)) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) n) n))) i))) |
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)) (*.f64 i (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) i)) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (*.f64 #s(literal 1/2 binary64) i)) n) (*.f64 #s(literal 1/6 binary64) i)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (*.f64 n (/.f64 #s(literal -1/2 binary64) n)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))))))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))) |
| Outputs |
|---|
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))) |
1 calls:
| 11.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.7% | 3 | n |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 #s(literal -50 binary64) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n) #s(literal 100 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (-.f64 #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)) (*.f64 #s(literal -100 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(approx (* 100 (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 50 binary64) n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) #s(approx (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 i (fma.f64 #s(literal 50 binary64) n (*.f64 #s(literal 100 binary64) (/.f64 n i))))))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) i)))))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 i n) (*.f64 #s(literal 50 binary64) i)))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i))) n) |
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 i n) (*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal -100 binary64)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i))) n) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 i (fma.f64 #s(literal 100 binary64) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 #s(literal 100 binary64) (/.f64 n i)))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 i i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) i))))))) i)) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (sqrt.f64 n) (sqrt.f64 n) (*.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (fma.f64 #s(literal -1 binary64) n (*.f64 i (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) n)) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) n) n))) i))) |
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)) (*.f64 i (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) i)) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (*.f64 #s(literal 1/2 binary64) i)) n) (*.f64 #s(literal 1/6 binary64) i)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (*.f64 n (/.f64 #s(literal -1/2 binary64) n)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n (/.f64 #s(literal -1/2 binary64) n)))))))) |
| Outputs |
|---|
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n) #s(literal 1/6 binary64)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64))) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i))) n) |
4 calls:
| 11.0ms | n |
| 11.0ms | i |
| 8.0ms | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 8.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.9% | 1 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 53.9% | 1 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 61.8% | 3 | i |
| 63.2% | 3 | n |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 #s(literal -50 binary64) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n) #s(literal 100 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (-.f64 #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)) (*.f64 #s(literal -100 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(approx (* 100 (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 50 binary64) n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) #s(approx (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 i (fma.f64 #s(literal 50 binary64) n (*.f64 #s(literal 100 binary64) (/.f64 n i))))))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) i)))))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 i n) (*.f64 #s(literal 50 binary64) i)))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i))) n) |
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 i n) (*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal -100 binary64)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i))) n) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 i (fma.f64 #s(literal 100 binary64) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 #s(literal 100 binary64) (/.f64 n i)))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 i i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) i))))))) i)) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (sqrt.f64 n) (sqrt.f64 n) (*.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (fma.f64 #s(literal -1 binary64) n (*.f64 i (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))) i))) |
| Outputs |
|---|
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) #s(approx (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i))) n) |
1 calls:
| 9.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.1% | 3 | n |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 #s(literal -50 binary64) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n) #s(literal 100 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (-.f64 #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)) (*.f64 #s(literal -100 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(approx (* 100 (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 50 binary64) n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) #s(approx (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 i (fma.f64 #s(literal 50 binary64) n (*.f64 #s(literal 100 binary64) (/.f64 n i))))))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) i)))))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 i n) (*.f64 #s(literal 50 binary64) i)))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i))) n) |
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 i n) (*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal -100 binary64)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) i)))))))) i)) (*.f64 #s(literal 100 binary64) n)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) #s(approx (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i)) i)) (*.f64 #s(literal 100 binary64) n)) |
1 calls:
| 8.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.1% | 3 | n |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 #s(literal -50 binary64) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n) #s(literal 100 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (-.f64 #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)) (*.f64 #s(literal -100 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(approx (* 100 (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 50 binary64) n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) #s(approx (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 i (fma.f64 #s(literal 50 binary64) n (*.f64 #s(literal 100 binary64) (/.f64 n i))))))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) i)))))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 i n) (*.f64 #s(literal 50 binary64) i)))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i)) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i))) n) |
#s(approx (* 100 (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n))) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 i n) (*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 #s(literal -1 binary64) n)))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal -100 binary64)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n (*.f64 (/.f64 #s(literal -1 binary64) i) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) i)) (*.f64 #s(literal 100 binary64) n)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) #s(approx (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i))) n) |
1 calls:
| 10.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.5% | 3 | n |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 #s(literal -50 binary64) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n) #s(literal 100 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (-.f64 #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)) (*.f64 #s(literal -100 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(approx (* 100 (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 50 binary64) n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) #s(approx (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 i (fma.f64 #s(literal 50 binary64) n (*.f64 #s(literal 100 binary64) (/.f64 n i))))))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) i)))))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 i n) (*.f64 #s(literal 50 binary64) i)))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i)) (*.f64 #s(literal 100 binary64) n)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) #s(approx (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 #s(approx (- (exp i) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) i)) (*.f64 #s(literal 100 binary64) n)) |
1 calls:
| 6.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.5% | 3 | n |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 #s(literal -50 binary64) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n) #s(literal 100 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (-.f64 #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)) (*.f64 #s(literal -100 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(approx (* 100 (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 50 binary64) n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) #s(approx (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 i (fma.f64 #s(literal 50 binary64) n (*.f64 #s(literal 100 binary64) (/.f64 n i))))))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) i)))))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 i n) (*.f64 #s(literal 50 binary64) i)))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) |
| Outputs |
|---|
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) #s(approx (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) |
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) #s(approx (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) (*.f64 #s(literal 100 binary64) n)) |
1 calls:
| 5.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.3% | 3 | n |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 #s(literal -50 binary64) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n) #s(literal 100 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (-.f64 #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)) (*.f64 #s(literal -100 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(approx (* 100 (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 50 binary64) n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ (pow (+ (/ i n) 1) n) i) n) (* (/ -1 i) n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) n)) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n))) |
2 calls:
| 4.0ms | i |
| 4.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.3% | 3 | i |
| 60.0% | 3 | n |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 #s(literal -50 binary64) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n) #s(literal 100 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (-.f64 #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)) (*.f64 #s(literal -100 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(approx (* 100 (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 50 binary64) n)) i))) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
4 calls:
| 3.0ms | n |
| 3.0ms | i |
| 3.0ms | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 3.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.2% | 1 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 51.2% | 1 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 51.2% | 1 | i |
| 51.2% | 1 | n |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 #s(literal -50 binary64) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64)) i n) #s(literal 100 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (-.f64 #s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (*.f64 #s(literal -50 binary64) i)) (*.f64 #s(literal -100 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 100 binary64) n)))) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n))) |
4 calls:
| 3.0ms | i |
| 3.0ms | n |
| 2.0ms | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 2.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.2% | 1 | i |
| 51.2% | 1 | n |
| 51.2% | 1 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 51.2% | 1 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 #s(literal -50 binary64) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 #s(literal 50 binary64) i))))) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 n #s(approx (+ 100 (* 50 i)) (*.f64 #s(literal 50 binary64) i))))) |
4 calls:
| 2.0ms | i |
| 2.0ms | n |
| 1.0ms | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 1.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.3% | 2 | i |
| 47.0% | 1 | n |
| 47.0% | 1 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 47.0% | 1 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 #s(literal -50 binary64) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) #s(approx (* n (+ 100 (* 50 i))) (*.f64 #s(literal 50 binary64) (*.f64 i n))))) |
1 calls:
| 1.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.3% | 2 | i |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 #s(literal -50 binary64) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
3 calls:
| 1.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 1.0ms | i |
| 1.0ms | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.0% | 1 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 47.0% | 1 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 47.0% | 1 | i |
Compiled 29 to 20 computations (31% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 #s(literal -50 binary64) i))) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (*.f64 #s(literal -50 binary64) i))) |
4 calls:
| 1.0ms | i |
| 1.0ms | n |
| 1.0ms | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 1.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.8% | 1 | n |
| 2.8% | 1 | i |
| 2.8% | 1 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 2.8% | 1 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
Compiled 30 to 22 computations (26.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 1.0656345072429904e-250 | 1.258235067941468e-190 |
Compiled 18 to 15 computations (16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 1.0656345072429904e-250 | 1.258235067941468e-190 |
Compiled 18 to 15 computations (16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 1.0656345072429904e-250 | 1.258235067941468e-190 |
Compiled 18 to 15 computations (16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 1.0656345072429904e-250 | 1.258235067941468e-190 |
Compiled 18 to 15 computations (16.7% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -0.0 | 7.764095451371797e-261 |
| 0.0ms | -4.604209919888371e-211 | -4.164014185321859e-294 |
Compiled 18 to 15 computations (16.7% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -0.0 | 7.764095451371797e-261 |
| 0.0ms | -4.604209919888371e-211 | -4.164014185321859e-294 |
Compiled 18 to 15 computations (16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 73.0ms | 3.5864412962656154e-96 | 1.348395653895098e-74 |
| 41.0ms | -1.7271487826485252e-143 | -4.3490012539204814e-145 |
| 54.0ms | 92× | 2 | valid |
| 29.0ms | 148× | 1 | valid |
| 8.0ms | 134× | 0 | invalid |
| 6.0ms | 7× | 3 | valid |
| 3.0ms | 41× | 0 | valid |
Compiled 900 to 681 computations (24.3% saved)
ival-pow: 51.0ms (59.4% of total)ival-div: 11.0ms (12.8% of total)adjust: 11.0ms (12.8% of total)ival-sub: 4.0ms (4.7% of total)ival-mult: 4.0ms (4.7% of total)ival-add: 4.0ms (4.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.5864412962656154e-96 | 1.348395653895098e-74 |
| 1.0ms | -1.7271487826485252e-143 | -4.3490012539204814e-145 |
Compiled 900 to 681 computations (24.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 66.0ms | 3.5864412962656154e-96 | 1.348395653895098e-74 |
| 35.0ms | -1.7271487826485252e-143 | -4.3490012539204814e-145 |
| 47.0ms | 86× | 2 | valid |
| 31.0ms | 142× | 1 | valid |
| 8.0ms | 137× | 0 | invalid |
| 2.0ms | 28× | 0 | valid |
Compiled 900 to 645 computations (28.3% saved)
ival-pow: 41.0ms (54.8% of total)ival-div: 12.0ms (16.1% of total)adjust: 10.0ms (13.4% of total)ival-mult: 4.0ms (5.4% of total)ival-sub: 3.0ms (4% of total)ival-add: 3.0ms (4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 3.5864412962656154e-96 | 1.348395653895098e-74 |
| 48.0ms | -1.0794415330497004e-128 | -2.3454565616270813e-132 |
| 21.0ms | 39× | 2 | valid |
| 14.0ms | 69× | 1 | valid |
| 5.0ms | 79× | 0 | invalid |
| 1.0ms | 20× | 0 | valid |
Compiled 1 267 to 941 computations (25.7% saved)
ival-pow: 18.0ms (53.2% of total)adjust: 5.0ms (14.8% of total)ival-div: 5.0ms (14.8% of total)ival-sub: 2.0ms (5.9% of total)ival-add: 2.0ms (5.9% of total)ival-mult: 2.0ms (5.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 3.5864412962656154e-96 | 1.348395653895098e-74 |
| 1.0ms | -1.0794415330497004e-128 | -2.3454565616270813e-132 |
Compiled 1 411 to 1 029 computations (27.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 3.5864412962656154e-96 | 1.348395653895098e-74 |
| 1.0ms | -1.0794415330497004e-128 | -2.3454565616270813e-132 |
Compiled 1 378 to 996 computations (27.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.5864412962656154e-96 | 1.348395653895098e-74 |
| 1.0ms | -1.0794415330497004e-128 | -2.3454565616270813e-132 |
Compiled 1 323 to 963 computations (27.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.5864412962656154e-96 | 1.348395653895098e-74 |
| 1.0ms | -1.0794415330497004e-128 | -2.3454565616270813e-132 |
Compiled 1 323 to 963 computations (27.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 3.5864412962656154e-96 | 1.348395653895098e-74 |
| 1.0ms | -1.0794415330497004e-128 | -2.3454565616270813e-132 |
Compiled 1 576 to 1 117 computations (29.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.5864412962656154e-96 | 1.348395653895098e-74 |
| 1.0ms | -1.0794415330497004e-128 | -2.3454565616270813e-132 |
Compiled 1 275 to 881 computations (30.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 43.0ms | 34010.823023835204 | 7134210.702033308 |
| 35.0ms | 107× | 1 | valid |
| 2.0ms | 29× | 0 | invalid |
| 1.0ms | 5× | 0 | valid |
Compiled 466 to 316 computations (32.2% saved)
ival-pow: 22.0ms (66.4% of total)adjust: 3.0ms (9% of total)ival-div: 3.0ms (9% of total)ival-add: 1.0ms (3% of total)ival-sub: 1.0ms (3% of total)ival-mult: 1.0ms (3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 34010.823023835204 | 7134210.702033308 |
Compiled 480 to 323 computations (32.7% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 631 | 3274 |
| 0 | 70 | 351 |
| 0 | 103 | 313 |
| 1 | 451 | 313 |
| 2 | 3318 | 307 |
| 0 | 9643 | 279 |
| 0 | 621 | 3973 |
| 0 | 58 | 317 |
| 0 | 89 | 239 |
| 1 | 344 | 237 |
| 2 | 2512 | 237 |
| 0 | 9226 | 235 |
| 0 | 10 | 44 |
| 0 | 16 | 44 |
| 1 | 64 | 44 |
| 2 | 417 | 44 |
| 3 | 4671 | 44 |
| 0 | 8504 | 38 |
| 0 | 515 | 3951 |
| 0 | 918 | 7229 |
| 0 | 37 | 187 |
| 0 | 64 | 168 |
| 1 | 236 | 163 |
| 2 | 1488 | 163 |
| 0 | 8305 | 162 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
Compiled 1 970 to 221 computations (88.8% saved)
Compiled 4 050 to 498 computations (87.7% saved)
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