
Time bar (total: 11.8s)
| 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)
| 2.3s | 4 510× | 1 | valid |
| 832.0ms | 1 605× | 2 | valid |
| 189.0ms | 2 086× | 0 | valid |
| 136.0ms | 1 971× | 0 | invalid |
| 45.0ms | 55× | 3 | valid |
| 2.0ms | 22× | 1 | exit |
ival-pow: 1.8s (56.2% of total)ival-div: 814.0ms (26% of total)adjust: 182.0ms (5.8% of total)ival-sub: 133.0ms (4.2% of total)ival-mult: 117.0ms (3.7% of total)ival-add: 101.0ms (3.2% of total)exact: 11.0ms (0.4% of total)ival-true: 9.0ms (0.3% of total)ival-assert: 5.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 184 | 0 | - | 0 | - | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) |
| 59 | 83 | (-2.433787080454176e-60 1.5346350033659381e+38) | 1 | (1.7203379661008964e-6 43.46717958168685) | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) |
| 40 | 0 | - | 1 | (-1.2482720571947984e-261 9.200585382170547e+52) | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 1 | 0 | - | 1 | (-4.400760584752217e-296 -8.210570539852199e-306) | (*.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 | - | 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 | - | #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 | 184 | 0 |
pow.f64 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | sensitivity | 128 | 2 |
/.f64 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) | n/u | 39 | 0 |
| ↳ | (/.f64 i n) | underflow | 39 | |
pow.f64 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | oflow-rescue | 13 | 0 |
| ↳ | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | overflow | 38 | |
| ↳ | (/.f64 i n) | overflow | 13 | |
| ↳ | (+.f64 #s(literal 1 binary64) (/.f64 i n)) | overflow | 13 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 203 | 0 |
| - | 19 | 34 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 203 | 0 | 0 |
| - | 19 | 0 | 34 |
| number | freq |
|---|---|
| 0 | 34 |
| 1 | 119 |
| 2 | 64 |
| 3 | 39 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 98.0ms | 288× | 1 | valid |
| 65.0ms | 146× | 2 | valid |
| 41.0ms | 76× | 0 | valid |
| 2.0ms | 2× | 3 | valid |
Compiled 187 to 44 computations (76.5% saved)
ival-pow: 94.0ms (65.2% of total)ival-div: 19.0ms (13.2% of total)adjust: 13.0ms (9% of total)ival-sub: 6.0ms (4.2% of total)ival-add: 6.0ms (4.2% of total)ival-mult: 6.0ms (4.2% of total)ival-true: 1.0ms (0.7% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 85 |
| 1 | 82 | 81 |
| 2 | 242 | 77 |
| 3 | 934 | 77 |
| 4 | 3832 | 77 |
| 5 | 6014 | 77 |
| 0 | 10 | 15 |
| 0 | 16 | 15 |
| 1 | 30 | 15 |
| 2 | 56 | 15 |
| 3 | 104 | 15 |
| 4 | 203 | 15 |
| 5 | 469 | 15 |
| 6 | 779 | 15 |
| 7 | 1236 | 15 |
| 8 | 1979 | 15 |
| 9 | 2834 | 15 |
| 10 | 3306 | 15 |
| 11 | 3447 | 15 |
| 12 | 3457 | 15 |
| 13 | 3458 | 15 |
| 14 | 3458 | 15 |
| 15 | 3478 | 15 |
| 16 | 3486 | 15 |
| 17 | 3486 | 15 |
| 0 | 3486 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.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 (/.f64 (fma.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
Compiled 15 to 10 computations (33.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 23.7% | (*.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)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | |
| cost-diff | 0 | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) | |
| cost-diff | 128 | (*.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))) | |
| cost-diff | 384 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 56 |
| 0 | 16 | 56 |
| 1 | 30 | 56 |
| 2 | 56 | 56 |
| 3 | 104 | 56 |
| 4 | 203 | 56 |
| 5 | 469 | 56 |
| 6 | 779 | 56 |
| 7 | 1236 | 56 |
| 8 | 1979 | 56 |
| 9 | 2834 | 56 |
| 10 | 3306 | 56 |
| 11 | 3447 | 56 |
| 12 | 3457 | 56 |
| 13 | 3458 | 56 |
| 14 | 3458 | 56 |
| 15 | 3478 | 56 |
| 16 | 3486 | 56 |
| 17 | 3486 | 56 |
| 0 | 3486 | 55 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.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(literal 100 binary64) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
(-.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 #s(literal 1 binary64) (/.f64 i n)) |
#s(literal 1 binary64) |
(/.f64 i 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 (/.f64 (fma.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
#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 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) n) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) |
(pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) |
(+.f64 #s(literal 1 binary64) (/.f64 i n)) |
(-.f64 (/.f64 i n) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 i n) |
i |
n |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.13652845591783974 | (*.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 | 9.222222639637994 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) | |
| accuracy | 12.870298790733907 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | |
| accuracy | 42.24488278681215 | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) |
| 70.0ms | 73× | 2 | valid |
| 47.0ms | 144× | 1 | valid |
| 4.0ms | 38× | 0 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 114 to 22 computations (80.7% saved)
ival-pow: 83.0ms (77% of total)ival-div: 9.0ms (8.4% of total)adjust: 6.0ms (5.6% of total)ival-sub: 3.0ms (2.8% of total)ival-add: 3.0ms (2.8% of total)ival-mult: 3.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 (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))) |
(-.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) |
| Outputs |
|---|
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)))))))))) |
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 (- (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 (/ 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 (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)) |
(- (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))) |
(/ (* (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))))))))))) |
(* 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)))))))) |
(/ (* 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) |
(- (+ (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))))) |
(* -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))))) |
(- (+ (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))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | n | @ | 0 | ((/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n)) |
| 4.0ms | i | @ | inf | ((/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n)) |
| 4.0ms | i | @ | -inf | ((/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n)) |
| 3.0ms | n | @ | inf | ((/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n)) |
| 2.0ms | i | @ | 0 | ((/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 515 | 3778 |
| 1 | 1624 | 3436 |
| 2 | 5511 | 3215 |
| 0 | 8123 | 2937 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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)))))))))) |
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 (- (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 (/ 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 (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)) |
(- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1) |
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(- (+ (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)))))) |
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(/ (* (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))))))))))) |
(* 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)))))))) |
(/ (* 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) |
(- (+ (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))))) |
(* -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))))) |
(- (+ (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))) |
| Outputs |
|---|
n |
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) |
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) 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))))))) |
(fma.f64 (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n) |
(* 100 n) |
(*.f64 #s(literal 100 binary64) n) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i 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)))))))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) 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 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)) |
i |
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i) |
(* 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 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i) |
1 |
#s(literal 1 binary64) |
(+ 1 i) |
(+.f64 #s(literal 1 binary64) i) |
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)) |
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64)) |
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i) |
(*.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 n 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 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (*.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (/.f64 (pow.f64 n #s(literal 3 binary64)) 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 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (*.f64 n (*.f64 (/.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) i) (fma.f64 n n (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) 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 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (*.f64 n (*.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (+.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i) i) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64)))) (/.f64 (*.f64 n n) i))))) i) |
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 n i)) #s(literal 100 binary64)) |
(/ (+ (* 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 (/.f64 (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (*.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (/.f64 (pow.f64 n #s(literal 3 binary64)) i))) i) #s(literal 100 binary64)) |
(/ (+ (* 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) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (*.f64 n (*.f64 (/.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) i) (fma.f64 n n (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) 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) |
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (*.f64 n (*.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (+.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i) i) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64)))) (/.f64 (*.f64 n n) i)))))) i) |
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) |
(expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) |
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) |
(fma.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (/.f64 (*.f64 n n) i) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) |
(- (+ (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) |
(fma.f64 (/.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) i) (fma.f64 n n (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i)) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) |
(- (+ (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) |
(fma.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (+.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i) i) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64)))) (/.f64 (*.f64 n n) i)) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) |
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) |
(*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) |
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(* (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))))))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) i) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) (/.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64)))) (/.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 4 binary64)))))) n (-.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) i)) (/.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))))) n (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) i) i)))) n (*.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) #s(literal 100 binary64))) n) n) |
(* n (+ (log i) (* -1 (log n)))) |
(*.f64 (-.f64 (log.f64 i) (log.f64 n)) n) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)) n (-.f64 (log.f64 i) (log.f64 n))) n) |
(* 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))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) (/.f64 #s(literal 1/2 binary64) (*.f64 i i))) n (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i))) n (-.f64 (log.f64 i) (log.f64 n))) n) |
(* 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))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) i) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 4 binary64)) #s(literal 1/24 binary64) (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 i i))) (/.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))))) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 i i))) n (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i))) n (-.f64 (log.f64 i) (log.f64 n))) n) |
(+ 1 (* n (+ (log i) (* -1 (log n))))) |
(fma.f64 (-.f64 (log.f64 i) (log.f64 n)) n #s(literal 1 binary64)) |
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))) |
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)) n (-.f64 (log.f64 i) (log.f64 n))) n #s(literal 1 binary64)) |
(+ 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)))))))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) (/.f64 #s(literal 1/2 binary64) (*.f64 i i))) n (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i))) n (-.f64 (log.f64 i) (log.f64 n))) n #s(literal 1 binary64)) |
(/ (* n (- (exp i) 1)) i) |
(/.f64 (*.f64 (expm1.f64 i) n) i) |
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) (/.f64 (exp.f64 i) n) (/.f64 (expm1.f64 i) i)) n) |
(* 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 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) (/.f64 (exp.f64 i) n) (fma.f64 (/.f64 (/.f64 (exp.f64 i) i) n) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n) (/.f64 (expm1.f64 i) i))) n) |
(* 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 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) (/.f64 (exp.f64 i) n) (fma.f64 (/.f64 (exp.f64 i) i) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n) n)) (/.f64 (expm1.f64 i) i))) n) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) |
(*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 #s(literal -50 binary64) (/.f64 (*.f64 (exp.f64 i) i) n))) n) |
(* 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 (fma.f64 (*.f64 #s(literal -50 binary64) i) (/.f64 (exp.f64 i) n) (*.f64 (fma.f64 (/.f64 (/.f64 (exp.f64 i) i) n) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n) (/.f64 (expm1.f64 i) i)) #s(literal 100 binary64))) n) |
(* 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 (fma.f64 (*.f64 #s(literal -50 binary64) i) (/.f64 (exp.f64 i) n) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n) n)) (/.f64 (expm1.f64 i) i)))) n) |
(- (exp i) 1) |
(expm1.f64 i) |
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1) |
(fma.f64 (*.f64 i (/.f64 (*.f64 (exp.f64 i) i) n)) #s(literal -1/2 binary64) (expm1.f64 i)) |
(- (+ (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) |
(+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 i i)) (/.f64 (exp.f64 i) n) (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n))) (expm1.f64 i)) |
(- (+ (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) |
(+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 i i)) (/.f64 (exp.f64 i) n) (*.f64 (/.f64 (exp.f64 i) n) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (*.f64 n n)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)))) (expm1.f64 i)) |
(exp i) |
(exp.f64 i) |
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) |
(fma.f64 (*.f64 i (/.f64 (*.f64 (exp.f64 i) i) n)) #s(literal -1/2 binary64) (exp.f64 i)) |
(+ (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)))) |
(fma.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n) (fma.f64 (*.f64 i (/.f64 (*.f64 (exp.f64 i) i) n)) #s(literal -1/2 binary64) (exp.f64 i))) |
(+ (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))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 i i)) (/.f64 (exp.f64 i) n) (fma.f64 (exp.f64 i) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n) n)) (exp.f64 i))) |
(* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n))))) |
(*.f64 (neg.f64 n) (fma.f64 (*.f64 #s(literal 1/2 binary64) i) (/.f64 (exp.f64 i) n) (/.f64 (expm1.f64 i) (neg.f64 i)))) |
(* -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 (+.f64 (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/2 binary64) i (/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n) i))) n) (/.f64 (expm1.f64 i) i)) n) |
(* -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 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 i)) i (/.f64 (*.f64 (exp.f64 i) (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n) i))) (neg.f64 n))) n) (/.f64 (expm1.f64 i) i)) n) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n))))) |
(*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 #s(literal -50 binary64) (/.f64 (*.f64 (exp.f64 i) i) n))) 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 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n) i) #s(literal 100 binary64) (*.f64 #s(literal -50 binary64) i))) (neg.f64 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 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) (exp.f64 i)) i (/.f64 (*.f64 (exp.f64 i) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) #s(literal -100 binary64)))) (neg.f64 n))) (neg.f64 n)))) |
(- (+ (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) |
(fma.f64 (/.f64 (*.f64 (exp.f64 i) (fma.f64 (*.f64 #s(literal 1/2 binary64) i) i (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (neg.f64 n)))) n) #s(literal -1 binary64) (expm1.f64 i)) |
(- (+ (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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 i)) (*.f64 i i) (/.f64 (*.f64 (exp.f64 i) (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n) #s(literal -1 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))))) (neg.f64 n))) (neg.f64 n)) (expm1.f64 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))) |
(-.f64 (exp.f64 i) (/.f64 (*.f64 (exp.f64 i) (fma.f64 (*.f64 #s(literal 1/2 binary64) i) i (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (neg.f64 n)))) 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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 i)) (*.f64 i i) (/.f64 (*.f64 (exp.f64 i) (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n) #s(literal -1 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))))) (neg.f64 n))) n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 44 |
| 0 | 16 | 44 |
| 1 | 73 | 44 |
| 2 | 570 | 44 |
| 3 | 7354 | 44 |
| 0 | 8669 | 38 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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))) |
(-.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) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (/.f64 n i)) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)))) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (/.f64 n i)) (+.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 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (/.f64 n i)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n)))) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (/.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) 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 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) |
(*.f64 (/.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) 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 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (/.f64 (neg.f64 i) n) i)) (neg.f64 n)) |
(*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (neg.f64 i) i)) (*.f64 (neg.f64 n) n)) |
(*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (neg.f64 i)) (/.f64 n (/.f64 (neg.f64 i) n))) |
(*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 1 binary64)) (pow.f64 (/.f64 n i) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal -1 binary64)) (neg.f64 n)) |
(*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (/.f64 i n) i)) n) |
(*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 i i)) (*.f64 n n)) |
(*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) (/.f64 n i)) |
(*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) (*.f64 (/.f64 n i) n)) |
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal 1 binary64)) n) |
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) #s(literal -1 binary64)) n) |
(*.f64 (*.f64 (/.f64 n i) (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i))) (neg.f64 n)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (/.f64 (neg.f64 n) i)) |
(*.f64 (pow.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal -1 binary64)) (/.f64 (neg.f64 n) i)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 i n)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64))) (/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))) i)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 i n)) (/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.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 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))) (/.f64 i n))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (pow.f64 n #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)) i)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) #s(literal 1 binary64)) (/.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 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n))) (pow.f64 n #s(literal -1 binary64))) (/.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)) i)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n))) #s(literal 1 binary64)) (/.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 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 i)) (/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))) (/.f64 #s(literal -1 binary64) n))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) i) (/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (neg.f64 i)) (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) i) (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n))) (neg.f64 i)) (/.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 #s(literal -1 binary64) n))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n))) i) (/.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)) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 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 (pow.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n)))) #s(literal -1 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 -1 binary64))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) (neg.f64 n)) |
(*.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal -1 binary64) n))) |
(*.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 (neg.f64 n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (/.f64 n i)) (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) 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)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 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))) |
(*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))) (/.f64 n i))) |
(*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))) (/.f64 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)) (pow.f64 (/.f64 n i) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 n i)))) |
(*.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 n i) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 n i) (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 n i)) (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (pow.f64 i #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n)) |
(*.f64 (/.f64 (neg.f64 n) i) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(*.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n) |
(*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i i) n))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (/.f64 (/.f64 n i) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) 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 n i))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i i) n))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) 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 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 n) i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(*.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n))) (/.f64 (/.f64 n 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 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) 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 n i))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n))) (/.f64 #s(literal 1 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 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) 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 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 (neg.f64 n) i)) |
(*.f64 (neg.f64 n) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i))) |
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 1 binary64)) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(pow.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n)) i) |
(/.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (/.f64 i n) i)) (pow.f64 n #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 i i)) (pow.f64 n #s(literal -2 binary64))) |
(/.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) (/.f64 i n)) |
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(fma.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) (-.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 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (neg.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)))) |
(fma.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) (+.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))) (neg.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)))) |
(fma.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)))) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (+.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)) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n)))) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/4 binary64)))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/4 binary64))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64))) n) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal -1 binary64)) n) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal 1 binary64)) n) (pow.f64 (pow.f64 (fma.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)) (/.f64 i n) #s(literal 1 binary64)) #s(literal -1 binary64)) n) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3/2 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))) (neg.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)))) |
(fma.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/4 binary64))) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.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) (+.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 (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)))) |
(fma.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 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 -1 binary64)) (neg.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)))) |
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 (pow.f64 (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 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (neg.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)))) |
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) |
(expm1.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)) (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n))))) |
(expm1.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n))) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) n))) |
(expm1.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(-.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)) (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) 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))) #s(literal 1 binary64)) (/.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)) #s(literal 1 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 (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))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) |
(+.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) #s(literal -1 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))) (neg.f64 (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 (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))) (neg.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 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) |
(+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/4 binary64)))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64))) n) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal -1 binary64)) n)) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal 1 binary64)) n) (pow.f64 (pow.f64 (fma.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)) (/.f64 i n) #s(literal 1 binary64)) #s(literal -1 binary64)) n)) |
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/4 binary64))) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) |
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) |
(pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) n)) |
(pow.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(/.f64 (neg.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)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)) (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n))))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) n))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
Compiled 18 454 to 2 126 computations (88.5% saved)
28 alts after pruning (27 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 557 | 27 | 584 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 557 | 28 | 585 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 18.9% | (fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
| 65.4% | (/.f64 (/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))))) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) | |
| 77.8% | (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) | |
| 77.0% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 i n) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) | |
| 77.7% | (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n)) | |
| 77.1% | (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) | |
| ▶ | 76.7% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
| 77.8% | (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n) | |
| 19.5% | (*.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))) | |
| 19.9% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))) | |
| ✓ | 23.7% | (*.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))) |
| 14.0% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i))) | |
| 21.2% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 (neg.f64 i) n)) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (/.f64 (neg.f64 i) n)))) | |
| 15.2% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) | |
| 12.6% | (*.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))) | |
| 12.7% | (*.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))) | |
| 49.0% | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n))) | |
| 51.2% | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))) | |
| 8.1% | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n))) | |
| 22.3% | (*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.f64 n i))) | |
| 50.6% | (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (/.f64 i n) i)) n)) | |
| 63.1% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) | |
| ▶ | 62.6% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) |
| 74.9% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))) | |
| 8.9% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))) | |
| ▶ | 80.1% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
| 8.9% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) | |
| ▶ | 55.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
Compiled 1 191 to 794 computations (33.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) | |
| cost-diff | 0 | (/.f64 n i) | |
| cost-diff | 0 | (*.f64 (/.f64 n i) #s(literal 100 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) | |
| cost-diff | 0 | (+.f64 (/.f64 i n) #s(literal 1 binary64)) | |
| cost-diff | 0 | (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) | |
| cost-diff | 0 | (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) | |
| cost-diff | 0 | (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) | |
| cost-diff | 0 | #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)) | |
| cost-diff | 0 | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) | |
| cost-diff | 512 | (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) | |
| cost-diff | 960 | (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n) | |
| cost-diff | 0 | (*.f64 #s(literal 100 binary64) n) | |
| cost-diff | 0 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) | |
| cost-diff | 0 | (/.f64 (expm1.f64 i) i) | |
| cost-diff | 0 | (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n) | |
| cost-diff | 0 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 345 |
| 0 | 83 | 341 |
| 1 | 161 | 339 |
| 2 | 342 | 330 |
| 3 | 901 | 330 |
| 4 | 2743 | 330 |
| 5 | 6374 | 330 |
| 0 | 8190 | 314 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n) |
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) |
(/.f64 (expm1.f64 i) i) |
(expm1.f64 i) |
i |
#s(literal 100 binary64) |
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(literal 100 binary64) |
n |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) |
#s(literal 100 binary64) |
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)) |
(fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n) |
(*.f64 n i) |
n |
i |
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
#s(literal 1/3 binary64) |
(*.f64 n n) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1/2 binary64) n) |
#s(literal 1/2 binary64) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) |
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(+.f64 (/.f64 i n) #s(literal 1 binary64)) |
(/.f64 i n) |
i |
n |
#s(literal 1 binary64) |
#s(literal 100 binary64) |
(*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)) |
(/.f64 (neg.f64 n) i) |
(neg.f64 n) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (/.f64 n i) #s(literal 100 binary64)) |
(/.f64 n i) |
n |
i |
#s(literal 100 binary64) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(*.f64 (log1p.f64 (/.f64 i n)) n) |
(log1p.f64 (/.f64 i n)) |
(/.f64 i n) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n) |
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) |
(/.f64 (expm1.f64 i) i) |
(expm1.f64 i) |
i |
#s(literal 100 binary64) |
n |
#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))) (*.f64 n #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) n) |
(*.f64 n #s(literal 100 binary64)) |
#s(literal 100 binary64) |
n |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) |
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) i (fma.f64 (/.f64 #s(literal 1/3 binary64) n) i (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64)))) i n)) #s(literal 100 binary64)) |
#s(literal 100 binary64) |
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)) |
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) i (fma.f64 (/.f64 #s(literal 1/3 binary64) n) i (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64)))) i n)) |
(fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) i (fma.f64 (/.f64 #s(literal 1/3 binary64) n) i (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64)))) i n) |
(*.f64 n i) |
n |
i |
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) |
(fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) n) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) i #s(literal 1/2 binary64))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) |
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal -1/3 binary64) (*.f64 n n))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) |
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
#s(literal 1/3 binary64) |
(*.f64 n n) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1/2 binary64) n) |
#s(literal 1/2 binary64) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) |
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) |
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(+.f64 (/.f64 i n) #s(literal 1 binary64)) |
(/.f64 i n) |
i |
n |
#s(literal 1 binary64) |
#s(literal 100 binary64) |
(*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)) |
(/.f64 #s(literal -100 binary64) (/.f64 i n)) |
(/.f64 (neg.f64 n) i) |
(neg.f64 n) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) |
(*.f64 (/.f64 n i) #s(literal 100 binary64)) |
(/.f64 n i) |
n |
i |
#s(literal 100 binary64) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(*.f64 (log1p.f64 (/.f64 i n)) n) |
(log1p.f64 (/.f64 i n)) |
(/.f64 i n) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.171875 | (*.f64 (/.f64 n i) #s(literal 100 binary64)) | |
| accuracy | 3.155547555495657 | (log1p.f64 (/.f64 i n)) | |
| accuracy | 9.193799744910466 | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) | |
| accuracy | 9.343542703371634 | (*.f64 (log1p.f64 (/.f64 i n)) n) | |
| accuracy | 0.140625 | (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) | |
| accuracy | 0.171875 | (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)) | |
| accuracy | 12.870298790733907 | (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) | |
| accuracy | 39.64890512609509 | (fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) | |
| accuracy | 0.9603835989368379 | (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) | |
| accuracy | 3.5283845535886402 | (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n) | |
| accuracy | 3.678633480243016 | (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) | |
| accuracy | 18.832427427902275 | #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)) | |
| accuracy | 0 | (*.f64 #s(literal 100 binary64) n) | |
| accuracy | 25.881953314900297 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) | |
| accuracy | 0.015625 | (/.f64 (expm1.f64 i) i) | |
| accuracy | 0.04296875 | (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) | |
| accuracy | 0.06640625 | (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n) | |
| accuracy | 9.944255711100238 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
| 185.0ms | 143× | 1 | valid |
| 87.0ms | 61× | 2 | valid |
| 53.0ms | 40× | 0 | valid |
| 4.0ms | 11× | 0 | invalid |
| 4.0ms | 1× | 5 | exit |
Compiled 655 to 94 computations (85.6% saved)
ival-pow: 104.0ms (35.3% of total)const: 48.0ms (16.3% of total)ival-div: 37.0ms (12.5% of total)ival-mult: 31.0ms (10.5% of total)ival-log1p: 24.0ms (8.1% of total)adjust: 22.0ms (7.5% of total)ival-add: 13.0ms (4.4% of total)ival-sub: 8.0ms (2.7% of total)ival-expm1: 5.0ms (1.7% of total)exact: 1.0ms (0.3% of total)ival-neg: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n) |
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) |
(/.f64 (expm1.f64 i) i) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(literal 100 binary64) n) |
(fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n) |
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) |
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) |
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(+.f64 (/.f64 i n) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (/.f64 n i) #s(literal 100 binary64)) |
(/.f64 n i) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)) |
(*.f64 (log1p.f64 (/.f64 i n)) n) |
(log1p.f64 (/.f64 i n)) |
| Outputs |
|---|
(* 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)))))))))) |
(+ (* 50 (* i n)) (* 100 n)) |
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n)))) |
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n)))))) |
100 |
(+ 100 (* 50 i)) |
(+ 100 (* i (+ 50 (* 50/3 i)))) |
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))) |
1 |
(+ 1 (* 1/2 i)) |
(+ 1 (* i (+ 1/2 (* 1/6 i)))) |
(+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))) |
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))))))) |
(- 1/2 (* 1/2 (/ 1 n))) |
(- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 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))))))) |
(/ n i) |
(/ (+ n (* i n)) i) |
(/ (+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))) i) |
(/ (+ 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 i) |
(/ (+ 1 i) i) |
(/ (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) i) |
(/ (+ 1 (* 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 (* 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 (/ i n)) |
(* 100 (/ n i)) |
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)))))) |
(/ (+ (* -100 n) (* 100 n)) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* 100 (* i n)))) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(/ (+ (* -100 n) (+ (* 100 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) |
(* -100 (/ n 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)))))) |
(/ 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 (- (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) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* 100 (/ (- (exp i) 1) i)) |
(/ (- (exp i) 1) i) |
(* (pow i 2) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) |
(* (pow i 2) (+ (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i))) |
(* (pow i 2) (+ (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (+ (/ n (pow i 2)) (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i)))) |
(* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) |
(* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* 1/2 (/ 1 i)))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* i n))))) |
(/ (* 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) |
(/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i) |
(/ (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i) |
(/ (+ (* 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) |
(/ (+ (* 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)))))) i) |
(/ (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (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)))))) (+ (* -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))) 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)))) 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)))) |
(* i (+ (/ 1 i) (/ 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) |
(/ (+ (* -100 n) (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) i) |
(/ (+ (* -100 n) (+ (* 100 (* 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 n) (+ (* 100 (* 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 n) (+ (* 100 (* 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) |
(* 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))))) |
(* 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)) |
(* (pow i 2) (+ (* -1 (/ (+ (* -1 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -1 (/ n i))) i)) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) |
(* -1 (* i (+ (* -1 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) 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)) |
(/ (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i) |
(* -1 (/ (+ (* -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))))))) i))) i)) |
(* -1 (/ (+ (* -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 (/ (+ (* -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)))))) i) |
(* -1 (/ (+ (* -1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (* -1 (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) |
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(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* 50 (/ (* i (exp i)) n)) (* 100 (/ 1 i)))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (/ 1 i)))))) |
(* -1 (* n (+ (* -100 (/ (exp i) 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)) (* 100 (/ 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 (/ (+ (* -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 | |
|---|---|---|---|---|
| 31.0ms | i | @ | -inf | ((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (* (* (/ n i) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (/ n i) 100) (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 1/3 (* n n)) (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (* (/ (neg n) i) 100) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n)))) |
| 9.0ms | n | @ | inf | ((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (* (* (/ n i) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (/ n i) 100) (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 1/3 (* n n)) (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (* (/ (neg n) i) 100) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n)))) |
| 6.0ms | i | @ | inf | ((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (* (* (/ n i) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (/ n i) 100) (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 1/3 (* n n)) (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (* (/ (neg n) i) 100) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n)))) |
| 6.0ms | i | @ | 0 | ((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (* (* (/ n i) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (/ n i) 100) (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 1/3 (* n n)) (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (* (/ (neg n) i) 100) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n)))) |
| 5.0ms | n | @ | 0 | ((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (/ (- (exp i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (pow (+ (/ i n) 1) n) i) (pow (+ (/ i n) 1) n) (+ (/ i n) 1) (* (* (/ n i) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (/ n i) 100) (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ 1/3 (* n n)) (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (* (/ (neg n) i) 100) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1008 | 8053 |
| 1 | 3137 | 7370 |
| 0 | 8383 | 6823 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)))))))))) |
(+ (* 50 (* i n)) (* 100 n)) |
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n)))) |
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n)))))) |
100 |
(+ 100 (* 50 i)) |
(+ 100 (* i (+ 50 (* 50/3 i)))) |
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))) |
1 |
(+ 1 (* 1/2 i)) |
(+ 1 (* i (+ 1/2 (* 1/6 i)))) |
(+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))) |
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))))))) |
(- 1/2 (* 1/2 (/ 1 n))) |
(- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 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))))))) |
(/ n i) |
(/ (+ n (* i n)) i) |
(/ (+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))) i) |
(/ (+ 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 i) |
(/ (+ 1 i) i) |
(/ (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) i) |
(/ (+ 1 (* 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 (* 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 (/ i n)) |
(* 100 (/ n i)) |
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)))))) |
(/ (+ (* -100 n) (* 100 n)) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* 100 (* i n)))) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(/ (+ (* -100 n) (+ (* 100 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) |
(* -100 (/ n 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)))))) |
(/ 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 (- (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) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* 100 (/ (- (exp i) 1) i)) |
(/ (- (exp i) 1) i) |
(* (pow i 2) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) |
(* (pow i 2) (+ (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i))) |
(* (pow i 2) (+ (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (+ (/ n (pow i 2)) (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i)))) |
(* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) |
(* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* 1/2 (/ 1 i)))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* i n))))) |
(/ (* 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) |
(/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i) |
(/ (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i) |
(/ (+ (* 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) |
(/ (+ (* 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)))))) i) |
(/ (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (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)))))) (+ (* -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))) 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)))) 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))) |
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(* i (+ (/ 1 i) (/ 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) |
(/ (+ (* -100 n) (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) i) |
(/ (+ (* -100 n) (+ (* 100 (* 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 n) (+ (* 100 (* 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 n) (+ (* 100 (* 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) |
(* 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)))) |
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(* 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)) |
(* (pow i 2) (+ (* -1 (/ (+ (* -1 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -1 (/ n i))) i)) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) |
(* -1 (* i (+ (* -1 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) i))))) |
(/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i) |
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(* -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 (+ (* -1 (/ (exp i) i)) (* 1/2 (/ (* i (exp i)) n))))) |
(* -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 (* 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 (/ (+ (* -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 (/ (+ (* -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)) |
(+ (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))) |
(- (+ (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) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (* 100 (/ 1 i))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* 50 (/ (* i (exp i)) n)) (* 100 (/ 1 i)))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (/ 1 i)))))) |
(* -1 (* n (+ (* -100 (/ (exp i) 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)) (* 100 (/ 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 (/ (+ (* -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 |
|---|
(* 100 n) |
(*.f64 n #s(literal 100 binary64)) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 n #s(literal 100 binary64))) |
(+ (* 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 (fma.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n (*.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)))) i (*.f64 n #s(literal 100 binary64))) |
(+ (* 50 (* i n)) (* 100 n)) |
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) |
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n)))) |
(fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64))) |
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n)))))) |
(fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64))) |
100 |
#s(literal 100 binary64) |
(+ 100 (* 50 i)) |
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) |
(+ 100 (* i (+ 50 (* 50/3 i)))) |
(fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) |
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 i)) |
(fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) |
(+ 1 (* i (+ 1/2 (* 1/6 i)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) |
(+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))) |
(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)) |
n |
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) |
(fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) |
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n) |
(- 1/2 (* 1/2 (/ 1 n))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) |
(- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))) |
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 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))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 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)) i n) |
(/ n i) |
(/.f64 n i) |
(/ (+ n (* i n)) i) |
(/.f64 (fma.f64 n i n) i) |
(/ (+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))) i) |
(/.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) i) |
(/ (+ 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) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n) i n) i) |
(/ 1 i) |
(/.f64 #s(literal 1 binary64) i) |
(/ (+ 1 i) i) |
(/.f64 (+.f64 i #s(literal 1 binary64)) i) |
(/ (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) i) |
(/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)) i) |
(/ (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) i) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64)) i) |
(+ 1 i) |
(+.f64 i #s(literal 1 binary64)) |
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)) |
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64)) |
(+ 1 (/ i n)) |
(+.f64 (/.f64 i n) #s(literal 1 binary64)) |
(* 100 (/ n i)) |
(*.f64 (/.f64 n i) #s(literal 100 binary64)) |
i |
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(fma.f64 (*.f64 i i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) |
(* 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)))))) |
(fma.f64 (*.f64 i i) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) |
(/ (+ (* -100 n) (* 100 n)) i) |
(/.f64 #s(literal 0 binary64) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* 100 (* i n)))) i) |
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) n #s(literal 0 binary64)) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(/.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 0 binary64)) i) |
(/ (+ (* -100 n) (+ (* 100 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) |
(/.f64 (fma.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 n #s(literal 100 binary64))) i #s(literal 0 binary64)) i) |
(* -100 (/ n i)) |
(*.f64 #s(literal -100 binary64) (/.f64 n i)) |
(* i (+ 1 (* -1/2 (/ i n)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) #s(literal 1 binary64)) i) |
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n)))))) |
(fma.f64 (*.f64 i i) (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) |
(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n)))))) |
(fma.f64 (*.f64 i i) (fma.f64 (fma.f64 (/.f64 i (pow.f64 n #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) i (/.f64 #s(literal -1/2 binary64) n)) i) |
(/ i n) |
(/.f64 i n) |
(* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n))) |
(*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i) |
(* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 i (pow.f64 n #s(literal 3 binary64))) #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) i (/.f64 #s(literal 1 binary64) n)) i) |
(* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 i (pow.f64 n #s(literal 4 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 3 binary64)))) i (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) i (/.f64 #s(literal 1 binary64) n)) i) |
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) |
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n) i) #s(literal 100 binary64)) |
(/ (+ (* 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 (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (pow.f64 n #s(literal 3 binary64))) 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) |
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n (+.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 i i)))) (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (pow.f64 n #s(literal 3 binary64))) 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) |
(/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (+.f64 (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 i i)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64)))))) (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (pow.f64 n #s(literal 3 binary64))) i)))) i) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n) |
(* 100 (/ (- (exp i) 1) i)) |
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) |
(/ (- (exp i) 1) i) |
(/.f64 (expm1.f64 i) i) |
(* (pow i 2) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) |
(*.f64 (*.f64 i (*.f64 n i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) |
(* (pow i 2) (+ (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i))) |
(*.f64 (*.f64 n (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)))) (*.f64 i i)) |
(* (pow i 2) (+ (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (+ (/ n (pow i 2)) (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i)))) |
(*.f64 (fma.f64 n (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 n (*.f64 i i))) (*.f64 i i)) |
(* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i) |
(* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* 1/2 (/ 1 i)))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* i n))))) |
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(* -1 (* n (+ (* -100 (/ (exp i) 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)) (* 100 (/ 1 i)))))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 i) i) #s(literal -100 binary64) (-.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) (exp.f64 i)) i (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) (exp.f64 i)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) (*.f64 (*.f64 (/.f64 (exp.f64 i) i) #s(literal 100 binary64)) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n))) (neg.f64 n))) n))) (neg.f64 n)) |
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n))) |
(-.f64 i (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal -1/3 binary64) (*.f64 (*.f64 i i) #s(literal 1/2 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 (fma.f64 (*.f64 i i) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal -1/4 binary64) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (neg.f64 n))) n)) |
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n)) |
(/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal 1/2 binary64) (neg.f64 i)) (neg.f64 n)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 i (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) i) i)) 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 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) i (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal 1/4 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (neg.f64 n))) (neg.f64 n)) i) (neg.f64 n)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 281 |
| 0 | 83 | 267 |
| 1 | 331 | 267 |
| 2 | 2598 | 258 |
| 0 | 9712 | 258 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n) |
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) |
(/.f64 (expm1.f64 i) i) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(literal 100 binary64) n) |
(fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n) |
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) |
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) |
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(+.f64 (/.f64 i n) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (/.f64 n i) #s(literal 100 binary64)) |
(/.f64 n i) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)) |
(*.f64 (log1p.f64 (/.f64 i n)) n) |
(log1p.f64 (/.f64 i n)) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (expm1.f64 (*.f64 i #s(literal 2 binary64))))) (/.f64 (*.f64 n #s(literal 100 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (expm1.f64 (*.f64 i #s(literal 3 binary64))))) (/.f64 (*.f64 n #s(literal 100 binary64)) (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) |
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)) |
(*.f64 (*.f64 n (/.f64 (expm1.f64 i) i)) #s(literal 100 binary64)) |
(*.f64 (pow.f64 i #s(literal -1 binary64)) (/.f64 (*.f64 n #s(literal 100 binary64)) (pow.f64 (expm1.f64 i) #s(literal -1 binary64)))) |
(*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) |
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n) |
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64))) |
(*.f64 (expm1.f64 i) (*.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 n #s(literal 100 binary64)))) |
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 i) i) n)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n)) (neg.f64 i)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 i)) (*.f64 n #s(literal 100 binary64)))) (neg.f64 (neg.f64 i))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 i) (*.f64 n #s(literal 100 binary64)))) (neg.f64 i)) |
(/.f64 (neg.f64 (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64)))) (neg.f64 i)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 n #s(literal 100 binary64)))) (neg.f64 (/.f64 i (expm1.f64 i)))) |
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i) |
(/.f64 (*.f64 (neg.f64 (expm1.f64 i)) (*.f64 n #s(literal 100 binary64))) (neg.f64 i)) |
(/.f64 (*.f64 (expm1.f64 i) (*.f64 n #s(literal 100 binary64))) i) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 n #s(literal 100 binary64))) (/.f64 i (expm1.f64 i))) |
(/.f64 (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64))) i) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) i)) |
(*.f64 #s(literal -100 binary64) (/.f64 (neg.f64 (expm1.f64 i)) i)) |
(*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) |
(*.f64 (expm1.f64 i) (*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 100 binary64))) |
(*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) |
(pow.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 i)) #s(literal 100 binary64))) (neg.f64 (neg.f64 i))) |
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (neg.f64 (expm1.f64 i)))) (neg.f64 (neg.f64 i))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)))) (neg.f64 (neg.f64 i))) |
(/.f64 (*.f64 (neg.f64 (expm1.f64 i)) #s(literal 100 binary64)) (neg.f64 i)) |
(/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 (expm1.f64 i))) (neg.f64 i)) |
(/.f64 #s(literal -100 binary64) (neg.f64 (/.f64 i (expm1.f64 i)))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64))) (neg.f64 i)) |
(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64)))) |
(/.f64 #s(literal 100 binary64) (/.f64 i (expm1.f64 i))) |
(*.f64 (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i) (/.f64 (expm1.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 i (expm1.f64 (*.f64 i #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 i (expm1.f64 (*.f64 i #s(literal 3 binary64)))) #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 (pow.f64 i #s(literal -1 binary64)) (pow.f64 (pow.f64 (expm1.f64 i) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 i #s(literal -1 binary64)) (expm1.f64 i)) |
(*.f64 (neg.f64 (expm1.f64 i)) (pow.f64 (neg.f64 i) #s(literal -1 binary64))) |
(*.f64 (expm1.f64 i) (/.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (expm1.f64 i) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 i) i)) |
(pow.f64 (/.f64 (/.f64 i (expm1.f64 i)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 i (expm1.f64 i)) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 i #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 i #s(literal -1 binary64))) (neg.f64 (pow.f64 i #s(literal -1 binary64)))) (*.f64 (/.f64 (exp.f64 i) i) (neg.f64 (pow.f64 i #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 2 binary64))) (pow.f64 i #s(literal -1 binary64)))) (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (pow.f64 i #s(literal -1 binary64)))) (neg.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 i) #s(literal 1 binary64))) (neg.f64 i)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (pow.f64 i #s(literal -2 binary64)))) (neg.f64 (+.f64 (/.f64 (exp.f64 i) i) (pow.f64 i #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 3 binary64)) (pow.f64 i #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (+.f64 (pow.f64 i #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 i) i) (pow.f64 i #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 i)))) (neg.f64 (neg.f64 (neg.f64 i)))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 i) i) (*.f64 i #s(literal 1 binary64)))) (neg.f64 (*.f64 i i))) |
(/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 2 binary64))) (pow.f64 i #s(literal -1 binary64))) (+.f64 (exp.f64 i) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (pow.f64 i #s(literal -1 binary64))) (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (expm1.f64 i) #s(literal 1 binary64)) i) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (pow.f64 i #s(literal -2 binary64))) (+.f64 (/.f64 (exp.f64 i) i) (pow.f64 i #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 3 binary64)) (pow.f64 i #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (+.f64 (pow.f64 i #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 i) i) (pow.f64 i #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 i))) (neg.f64 (neg.f64 i))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 i #s(literal 2 binary64)))) (neg.f64 (*.f64 i (+.f64 (exp.f64 i) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (neg.f64 (*.f64 i (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i)) |
(/.f64 (-.f64 (*.f64 (exp.f64 i) i) (*.f64 i #s(literal 1 binary64))) (*.f64 i i)) |
(/.f64 (expm1.f64 (*.f64 i #s(literal 2 binary64))) (*.f64 i (+.f64 (exp.f64 i) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 i (expm1.f64 i)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (expm1.f64 i)))) |
(/.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (*.f64 i (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 i)) (neg.f64 i)) |
(/.f64 (expm1.f64 i) i) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 i (expm1.f64 i))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (expm1.f64 i)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (expm1.f64 i))) |
(neg.f64 (/.f64 (neg.f64 (expm1.f64 i)) i)) |
(neg.f64 (/.f64 (expm1.f64 i) (neg.f64 i))) |
(fma.f64 (exp.f64 i) (pow.f64 i #s(literal -1 binary64)) (neg.f64 (pow.f64 i #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (+.f64 (/.f64 (exp.f64 i) i) (pow.f64 i #s(literal -1 binary64)))) (/.f64 (pow.f64 i #s(literal -2 binary64)) (+.f64 (/.f64 (exp.f64 i) i) (pow.f64 i #s(literal -1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (+.f64 (pow.f64 i #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 i) i) (pow.f64 i #s(literal -1 binary64)))))) (/.f64 (pow.f64 i #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (+.f64 (pow.f64 i #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 i) i) (pow.f64 i #s(literal -1 binary64))))))) |
(-.f64 (/.f64 (*.f64 (exp.f64 i) i) (*.f64 i i)) (/.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 i i))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 i) #s(literal 2 binary64)) (*.f64 i (+.f64 (exp.f64 i) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 i (+.f64 (exp.f64 i) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 i) #s(literal 3 binary64)) (*.f64 i (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 i (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 i) #s(literal 2 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i) (/.f64 (pow.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) #s(literal -1 binary64)) i)) |
(-.f64 (/.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)))) i) (/.f64 (pow.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) #s(literal -1 binary64)) i)) |
(-.f64 (/.f64 #s(literal 0 binary64) i) (/.f64 (expm1.f64 i) (neg.f64 i))) |
(-.f64 (/.f64 (exp.f64 i) i) (pow.f64 i #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 i (expm1.f64 i))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (exp.f64 i) i) (neg.f64 (pow.f64 i #s(literal -1 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) |
(*.f64 n #s(literal 100 binary64)) |
(*.f64 #s(literal 100 binary64) n) |
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(pow.f64 (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)))) (neg.f64 (neg.f64 i))) |
(/.f64 #s(literal -100 binary64) (/.f64 i n)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64))) (neg.f64 i)) |
(/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) (neg.f64 (neg.f64 i))) |
(/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64))))) |
(/.f64 (*.f64 n #s(literal 100 binary64)) (neg.f64 i)) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64)))) |
(/.f64 #s(literal 100 binary64) (/.f64 (neg.f64 i) n)) |
(neg.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64))) (log1p.f64 (/.f64 i n))) |
(*.f64 (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64))) (log1p.f64 (/.f64 i n))) |
(*.f64 (*.f64 n #s(literal 1/2 binary64)) (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))))) |
(*.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 1/2 binary64))) (log1p.f64 (/.f64 i n)) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64))) (log1p.f64 (/.f64 i n)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 n #s(literal 1/2 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 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64)))) #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 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64)))) (log.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(+.f64 (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64)))) (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))))) |
(+.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)) |
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 n i) #s(literal -2 binary64)))))) |
(neg.f64 (log.f64 (/.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(neg.f64 (log.f64 (/.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 n i) #s(literal -3 binary64)) #s(literal 1 binary64))))) |
(neg.f64 (log.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 i n)) (+.f64 (pow.f64 (/.f64 n i) #s(literal -3 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 n i) #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 n i) #s(literal -2 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 n i) #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 (neg.f64 (+.f64 (pow.f64 (/.f64 n i) #s(literal -3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 i n))))) |
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)))) (log1p.f64 (/.f64 (neg.f64 i) n))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)))) |
(-.f64 (log1p.f64 (pow.f64 (/.f64 n i) #s(literal -3 binary64))) (log1p.f64 (*.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (pow.f64 (/.f64 n i) #s(literal -3 binary64))) (log.f64 (-.f64 (+.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 i n)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 n i) #s(literal -2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 n i) #s(literal -3 binary64)) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 i n)) (+.f64 (pow.f64 (/.f64 n i) #s(literal -3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal -1 binary64)))) |
(+.f64 (log.f64 (-.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64))) (log.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (log1p.f64 (pow.f64 (/.f64 n i) #s(literal -3 binary64))) (log.f64 (pow.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (log1p.f64 (pow.f64 (/.f64 n i) #s(literal -3 binary64))) (log.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -1 binary64)))) |
(log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) |
Compiled 33 542 to 4 041 computations (88% saved)
40 alts after pruning (37 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 904 | 28 | 932 |
| Fresh | 13 | 9 | 22 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 920 | 40 | 960 |
| Status | Accuracy | Program |
|---|---|---|
| 19.4% | (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 n #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) | |
| 19.0% | (fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64))))) | |
| 18.9% | (fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i))) | |
| 19.5% | (fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) #s(literal 100 binary64)) n (*.f64 #s(literal -100 binary64) (/.f64 n i))) | |
| 8.4% | (fma.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) | |
| 8.4% | (fma.f64 #s(approx (* (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) | |
| 18.9% | (fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64))) | |
| 77.8% | (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n)) | |
| 77.2% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) | |
| 77.8% | (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n) | |
| 76.7% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n #s(literal 100 binary64)))) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) | |
| 23.4% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) | |
| ✓ | 76.7% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
| 50.5% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) | |
| 8.1% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) | |
| 65.7% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) | |
| 76.7% | (*.f64 (*.f64 n (/.f64 #s(literal 100 binary64) i)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) | |
| 19.5% | (*.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))) | |
| 19.9% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))) | |
| ✓ | 23.7% | (*.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))) |
| 14.0% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i))) | |
| ▶ | 12.6% | (*.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))) |
| ▶ | 22.3% | (*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.f64 n i))) |
| 50.6% | (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (/.f64 i n) i)) n)) | |
| 63.1% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) | |
| 66.2% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) | |
| 51.5% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) n))) | |
| 8.9% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))) | |
| 49.5% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n)))) | |
| 66.2% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)))) | |
| 8.7% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))))) | |
| 56.9% | #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) n #s(literal 0 binary64)) i)) | |
| 12.9% | #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) | |
| ▶ | 80.1% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) |
| ▶ | 8.9% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) |
| 68.1% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (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))) #s(literal 100 binary64)) n)) | |
| 68.1% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) | |
| 66.2% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) | |
| ▶ | 63.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
| ✓ | 55.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
Compiled 2 009 to 1 333 computations (33.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 n n) | |
| cost-diff | 0 | (*.f64 (*.f64 n n) #s(literal 100 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) | |
| cost-diff | 0 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) | |
| cost-diff | 0 | (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) | |
| cost-diff | 0 | (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) | |
| cost-diff | 128 | (*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.f64 n i))) | |
| cost-diff | 704 | (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.f64 n i)) | |
| cost-diff | 0 | #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) | |
| cost-diff | 0 | (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) | |
| cost-diff | 128 | (*.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))) | |
| cost-diff | 384 | (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)) | |
| cost-diff | 0 | (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n) | |
| cost-diff | 0 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) | |
| cost-diff | 0 | (expm1.f64 i) | |
| cost-diff | 0 | (/.f64 (expm1.f64 i) i) | |
| cost-diff | 0 | (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64))) | |
| cost-diff | 0 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 318 |
| 0 | 72 | 318 |
| 1 | 131 | 318 |
| 2 | 244 | 314 |
| 3 | 536 | 314 |
| 4 | 1166 | 314 |
| 5 | 2513 | 314 |
| 6 | 4462 | 314 |
| 7 | 7873 | 314 |
| 0 | 8145 | 309 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) |
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64))) |
(/.f64 (expm1.f64 i) i) |
(expm1.f64 i) |
i |
(*.f64 n #s(literal 100 binary64)) |
n |
#s(literal 100 binary64) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n) |
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) |
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) |
#s(literal 50 binary64) |
i |
#s(literal 100 binary64) |
n |
(*.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))) |
#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 (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) |
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) |
(+.f64 #s(literal 1 binary64) i) |
#s(literal 1 binary64) |
i |
(/.f64 i n) |
n |
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.f64 n i))) |
#s(literal 100 binary64) |
(-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.f64 n i)) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) |
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(+.f64 (/.f64 i n) #s(literal 1 binary64)) |
(/.f64 i n) |
i |
n |
#s(literal 1 binary64) |
(/.f64 n i) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) |
(*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) |
(*.f64 (*.f64 n n) #s(literal 100 binary64)) |
(*.f64 n n) |
n |
#s(literal 100 binary64) |
(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) |
(-.f64 (log.f64 i) (log.f64 n)) |
(log.f64 i) |
i |
(log.f64 n) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (expm1.f64 i) n))) |
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (expm1.f64 i) n)) |
(/.f64 (expm1.f64 i) i) |
(expm1.f64 i) |
i |
(*.f64 n #s(literal 100 binary64)) |
n |
#s(literal 100 binary64) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n) |
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) |
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) |
#s(literal 50 binary64) |
i |
#s(literal 100 binary64) |
n |
(*.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 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) |
#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 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) n (neg.f64 n)) i) |
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) |
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) |
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) i) |
(+.f64 i #s(literal 1 binary64)) |
#s(literal 1 binary64) |
i |
(/.f64 i n) |
n |
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.f64 n i))) |
(*.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) |
#s(literal 100 binary64) |
(-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.f64 n i)) |
(/.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n (neg.f64 n)) i) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) |
(*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) |
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(+.f64 (/.f64 i n) #s(literal 1 binary64)) |
(/.f64 i n) |
i |
n |
#s(literal 1 binary64) |
(/.f64 n i) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) n) (-.f64 (log.f64 i) (log.f64 n)))) |
(*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) |
(*.f64 (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) n) (-.f64 (log.f64 i) (log.f64 n))) |
(*.f64 (*.f64 n n) #s(literal 100 binary64)) |
(*.f64 n n) |
n |
#s(literal 100 binary64) |
(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) |
(-.f64 (log.f64 i) (log.f64 n)) |
(log.f64 i) |
i |
(log.f64 n) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1171875 | (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) | |
| accuracy | 0.1747339806337844 | (-.f64 (log.f64 i) (log.f64 n)) | |
| accuracy | 2.173007930622799 | (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) | |
| accuracy | 14.27966829494411 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) | |
| accuracy | 0.02734375 | (*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.f64 n i))) | |
| accuracy | 0.03125 | (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) | |
| accuracy | 3.6494059668493892 | (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) | |
| accuracy | 10.197711887747438 | (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.f64 n i)) | |
| accuracy | 0.02734375 | (*.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))) | |
| accuracy | 1.8767564943463437 | (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n)) | |
| accuracy | 9.261497241162195 | #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) | |
| accuracy | 12.678048280878016 | (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n) | |
| accuracy | 5.2030060261940365 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) | |
| accuracy | 9.241352327040863 | #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) | |
| accuracy | 0 | (*.f64 n #s(literal 100 binary64)) | |
| accuracy | 0 | (expm1.f64 i) | |
| accuracy | 0.00390625 | (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64))) | |
| accuracy | 5.2030060261940365 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) |
| 62.0ms | 177× | 0 | invalid |
| 32.0ms | 42× | 1 | valid |
| 24.0ms | 1× | 5 | exit |
| 21.0ms | 20× | 2 | valid |
| 5.0ms | 16× | 0 | valid |
Compiled 592 to 83 computations (86% saved)
ival-pow: 31.0ms (35% of total)ival-mult: 21.0ms (23.7% of total)ival-div: 13.0ms (14.7% of total)adjust: 6.0ms (6.8% of total)ival-add: 5.0ms (5.6% of total)ival-log: 5.0ms (5.6% of total)ival-sub: 4.0ms (4.5% of total)ival-expm1: 2.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) |
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64))) |
(/.f64 (expm1.f64 i) i) |
(expm1.f64 i) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n) |
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) |
(fma.f64 #s(literal 50 binary64) i #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(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 (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) |
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) |
(-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.f64 n i)) |
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.f64 n i))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) |
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) |
(*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) |
(*.f64 (*.f64 n n) #s(literal 100 binary64)) |
(*.f64 n n) |
(*.f64 n #s(literal 100 binary64)) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(-.f64 (log.f64 i) (log.f64 n)) |
(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) |
| Outputs |
|---|
(* 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)))))))))) |
(+ (* 50 (* i n)) (* 100 n)) |
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n)))) |
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n)))))) |
1 |
(+ 1 (* 1/2 i)) |
(+ 1 (* i (+ 1/2 (* 1/6 i)))) |
(+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))) |
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 |
(+ 100 (* 50 i)) |
(+ 100 (* i (+ 50 (* 50/3 i)))) |
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))) |
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))))))) |
(* 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 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 i) |
(/ (+ n (* i n)) i) |
(/ (+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))) i) |
(/ (+ 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 i) |
(/ (+ 1 i) i) |
(/ (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) i) |
(/ (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) i) |
(* 100 (/ (* (pow n 2) (- (log i) (log n))) i)) |
(- (log i) (log n)) |
(/ (- (log i) (log n)) 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) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(/ (- (exp i) 1) i) |
(- (exp i) 1) |
(* 100 (/ (- (exp i) 1) i)) |
(* 50 i) |
(* i (+ 50 (* 100 (/ 1 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) |
(- (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))))))) n) i) |
(/ (- (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) n) i) |
(/ (- (+ (* 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))) n) i) |
(/ (- (+ (* 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)))) n) i) |
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(* -1 (/ (+ (* -1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (* -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 (/ (+ (* (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 (* (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 (/ (* (pow n 2) (- (+ (log -1) (* -1 (log (/ -1 i)))) (log n))) i)) |
(- (+ (log -1) (* -1 (log (/ -1 i)))) (log n)) |
(/ (- (+ (log -1) (* -1 (log (/ -1 i)))) (log n)) 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))))))))))) |
(/ (* (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)))) |
(* 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) (+ (* -1 (/ (log n) i)) (/ (log i) 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 (+ (* n (+ (* -1 (/ (log n) i)) (/ (log i) i))) (/ 1 i))) |
(* n (+ (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) (/ 1 i))) |
(* n (+ (* 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)))) (/ 1 i))) |
(+ (* n (+ (* -1 (/ (log n) i)) (/ (log i) i))) (/ 1 i)) |
(+ (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) (/ 1 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)))) (/ 1 i)) |
(* 100 (pow n 2)) |
(pow n 2) |
(* 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 (- (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))) |
(- (+ (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) i) (/ 1 i))) |
(* 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)))))))) |
(/ (* n (exp i)) i) |
(* n (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) 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)))))) |
(* 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))))))) |
(/ (exp i) i) |
(+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) 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))))) |
(+ (* -1/2 (/ (* 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)))))) |
(* 100 (/ (* (pow n 2) (- (log i) (* -1 (log (/ 1 n))))) i)) |
(- (log i) (* -1 (log (/ 1 n)))) |
(/ (- (log i) (* -1 (log (/ 1 n)))) 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 (+ (* -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))))) |
(- (+ (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) 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))))) |
(* -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 (* n (+ (* -1 (/ (exp i) i)) (* 1/2 (/ (* i (exp i)) n))))) |
(* -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 (* 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 (/ (+ (* -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 (/ (+ (* -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)) |
(* 100 (/ (* (pow n 2) (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))) i)) |
(- (log i) (+ (log -1) (* -1 (log (/ -1 n))))) |
(/ (- (log i) (+ (log -1) (* -1 (log (/ -1 n))))) i) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 70.0ms | i | @ | -inf | ((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ (- (exp i) 1) i) (* n 100)) (/ (- (exp i) 1) i) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (- (* (/ (pow (+ (/ i n) 1) n) i) n) (/ n i)) (* 100 (- (* (/ (pow (+ (/ i n) 1) n) i) n) (/ n i))) (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (pow (+ (/ i n) 1) n) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (* n n) 100) (/ (- (log i) (log n)) i)) (* (* n n) 100) (* n n) (* n 100) (pow (+ (/ i n) 1) n) (- (log i) (log n)) (/ (- (log i) (log n)) i)) |
| 54.0ms | n | @ | inf | ((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ (- (exp i) 1) i) (* n 100)) (/ (- (exp i) 1) i) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (- (* (/ (pow (+ (/ i n) 1) n) i) n) (/ n i)) (* 100 (- (* (/ (pow (+ (/ i n) 1) n) i) n) (/ n i))) (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (pow (+ (/ i n) 1) n) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (* n n) 100) (/ (- (log i) (log n)) i)) (* (* n n) 100) (* n n) (* n 100) (pow (+ (/ i n) 1) n) (- (log i) (log n)) (/ (- (log i) (log n)) i)) |
| 51.0ms | i | @ | 0 | ((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ (- (exp i) 1) i) (* n 100)) (/ (- (exp i) 1) i) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (- (* (/ (pow (+ (/ i n) 1) n) i) n) (/ n i)) (* 100 (- (* (/ (pow (+ (/ i n) 1) n) i) n) (/ n i))) (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (pow (+ (/ i n) 1) n) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (* n n) 100) (/ (- (log i) (log n)) i)) (* (* n n) 100) (* n n) (* n 100) (pow (+ (/ i n) 1) n) (- (log i) (log n)) (/ (- (log i) (log n)) i)) |
| 43.0ms | i | @ | inf | ((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ (- (exp i) 1) i) (* n 100)) (/ (- (exp i) 1) i) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (- (* (/ (pow (+ (/ i n) 1) n) i) n) (/ n i)) (* 100 (- (* (/ (pow (+ (/ i n) 1) n) i) n) (/ n i))) (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (pow (+ (/ i n) 1) n) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (* n n) 100) (/ (- (log i) (log n)) i)) (* (* n n) 100) (* n n) (* n 100) (pow (+ (/ i n) 1) n) (- (log i) (log n)) (/ (- (log i) (log n)) i)) |
| 21.0ms | n | @ | 0 | ((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (/ (- (exp i) 1) i) (* n 100)) (/ (- (exp i) 1) i) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (- (* (/ (pow (+ (/ i n) 1) n) i) n) (/ n i)) (* 100 (- (* (/ (pow (+ (/ i n) 1) n) i) n) (/ n i))) (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (pow (+ (/ i n) 1) n) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (* n n) 100) (/ (- (log i) (log n)) i)) (* (* n n) 100) (* n n) (* n 100) (pow (+ (/ i n) 1) n) (- (log i) (log n)) (/ (- (log i) (log n)) i)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 779 | 7297 |
| 1 | 2483 | 6729 |
| 2 | 7741 | 6729 |
| 0 | 8054 | 6223 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)))))))))) |
(+ (* 50 (* i n)) (* 100 n)) |
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n)))) |
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n)))))) |
1 |
(+ 1 (* 1/2 i)) |
(+ 1 (* i (+ 1/2 (* 1/6 i)))) |
(+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))) |
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 |
(+ 100 (* 50 i)) |
(+ 100 (* i (+ 50 (* 50/3 i)))) |
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))) |
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))))))) |
(* 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 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 i) |
(/ (+ n (* i n)) i) |
(/ (+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))) i) |
(/ (+ 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 i) |
(/ (+ 1 i) i) |
(/ (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) i) |
(/ (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) i) |
(* 100 (/ (* (pow n 2) (- (log i) (log n))) i)) |
(- (log i) (log n)) |
(/ (- (log i) (log n)) 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) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(/ (- (exp i) 1) i) |
(- (exp i) 1) |
(* 100 (/ (- (exp i) 1) i)) |
(* 50 i) |
(* i (+ 50 (* 100 (/ 1 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) |
(- (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))))))) n) i) |
(/ (- (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) n) i) |
(/ (- (+ (* 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))) n) i) |
(/ (- (+ (* 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)))) n) i) |
(* 100 (/ (- (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) n) i)) |
(/ (+ (* 100 (- (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) n)) (* 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))))))) n)) (+ (* 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))))))) n)) (+ (* 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) |
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(/ (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i) |
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(- (+ (log -1) (* -1 (log (/ -1 i)))) (log n)) |
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(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)) |
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(/ (* (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)))) |
(* 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))))))) |
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(* (pow n 2) (+ (* -1 (/ (log n) i)) (/ (log i) i))) |
(* 100 (* (pow n 2) (+ (* -1 (/ (log n) i)) (/ (log i) i)))) |
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(* (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)))))))) |
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(* n (+ (* n (+ (* -1 (/ (log n) i)) (/ (log i) i))) (/ 1 i))) |
(* n (+ (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) (/ 1 i))) |
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(+ (* n (+ (* -1 (/ (log n) i)) (/ (log i) i))) (/ 1 i)) |
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(* 100 (pow n 2)) |
(pow n 2) |
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(/ (* n (- (exp i) 1)) i) |
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(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)))) |
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(* n (- (/ (exp i) i) (/ 1 i))) |
(* 100 (* n (- (/ (exp i) i) (/ 1 i)))) |
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(/ (* n (exp i)) i) |
(* n (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i))) |
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(/ (exp i) i) |
(+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) 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))))) |
(+ (* -1/2 (/ (* 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)))))) |
(* 100 (/ (* (pow n 2) (- (log i) (* -1 (log (/ 1 n))))) i)) |
(- (log i) (* -1 (log (/ 1 n)))) |
(/ (- (log i) (* -1 (log (/ 1 n)))) 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 (+ (* -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))))) |
(- (+ (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) 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))))) |
(* -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 (* n (+ (* -1 (/ (exp i) i)) (* 1/2 (/ (* i (exp i)) n))))) |
(* -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 (* 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 (/ (+ (* -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 (/ (+ (* -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)) |
(* 100 (/ (* (pow n 2) (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))) i)) |
(- (log i) (+ (log -1) (* -1 (log (/ -1 n))))) |
(/ (- (log i) (+ (log -1) (* -1 (log (/ -1 n))))) i) |
| Outputs |
|---|
(* 100 n) |
(*.f64 n #s(literal 100 binary64)) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 n #s(literal 100 binary64))) |
(+ (* 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 (fma.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n (*.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)))) i (*.f64 n #s(literal 100 binary64))) |
(+ (* 50 (* i n)) (* 100 n)) |
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) |
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n)))) |
(fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64))) |
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n)))))) |
(fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 i)) |
(fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) |
(+ 1 (* i (+ 1/2 (* 1/6 i)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) |
(+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))) |
(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 (+ 1 (* 1/2 i))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i) |
(* i (+ 1 (* i (+ 1/2 (* 1/6 i))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i) |
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))) |
(*.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) |
100 |
#s(literal 100 binary64) |
(+ 100 (* 50 i)) |
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) |
(+ 100 (* i (+ 50 (* 50/3 i)))) |
(fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) |
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64)) |
n |
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) |
(fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) |
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i 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))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 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)) i n) |
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i) |
(* 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 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i) |
(+ 1 i) |
(+.f64 i #s(literal 1 binary64)) |
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)) |
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64)) |
(/ n i) |
(/.f64 n i) |
(/ (+ n (* i n)) i) |
(/.f64 (fma.f64 n i n) i) |
(/ (+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))) i) |
(/.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) i) |
(/ (+ 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) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n) i n) i) |
(/ 1 i) |
(/.f64 #s(literal 1 binary64) i) |
(/ (+ 1 i) i) |
(/.f64 (+.f64 i #s(literal 1 binary64)) i) |
(/ (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) i) |
(/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)) i) |
(/ (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) i) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64)) i) |
(* 100 (/ (* (pow n 2) (- (log i) (log n))) i)) |
(*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) |
(- (log i) (log n)) |
(-.f64 (log.f64 i) (log.f64 n)) |
(/ (- (log i) (log n)) i) |
(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) |
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 n i)) #s(literal 100 binary64)) |
(/ (+ (* 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 #s(literal 100 binary64) (/.f64 (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (*.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (/.f64 (pow.f64 n #s(literal 3 binary64)) 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) |
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n (+.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (*.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (/.f64 (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i) i))) (*.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (/.f64 (pow.f64 n #s(literal 3 binary64)) 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) |
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) n (*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (+.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i) i) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64))))) (*.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (/.f64 (pow.f64 n #s(literal 3 binary64)) i))))) i) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n) |
(/ (- (exp i) 1) i) |
(/.f64 (expm1.f64 i) i) |
(- (exp i) 1) |
(expm1.f64 i) |
(* 100 (/ (- (exp i) 1) i)) |
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) |
(* 50 i) |
(*.f64 #s(literal 50 binary64) i) |
(* i (+ 50 (* 100 (/ 1 i)))) |
(*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i) |
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i) |
(*.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 n 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 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (*.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (/.f64 (pow.f64 n #s(literal 3 binary64)) 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 (+.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (*.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (/.f64 (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i) i))) (*.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (/.f64 (pow.f64 n #s(literal 3 binary64)) 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 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (fma.f64 n (*.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (+.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i) i) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64))))) (*.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (/.f64 (pow.f64 n #s(literal 3 binary64)) i)))) i) |
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(-.f64 (exp.f64 i) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 i)) (*.f64 i i) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (neg.f64 n))) 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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 i)) (*.f64 i i) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i) (/.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (exp.f64 i)) (neg.f64 n))) (neg.f64 n))) n)) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (exp.f64 i) i)) (neg.f64 n)) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* 1/2 (/ (* i (exp i)) n)) (/ 1 i))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (exp.f64 i) i))) (neg.f64 n)) |
(* -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))))) |
(neg.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 i)) i (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i))) (neg.f64 n)) (/.f64 (exp.f64 i) i)) n (/.f64 n 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))))) |
(neg.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 i)) i (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) i) (/.f64 (exp.f64 i) n) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (neg.f64 i))) (neg.f64 n))) (neg.f64 n)) (/.f64 (exp.f64 i) i)) n (/.f64 n i))) |
(* -100 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i)))) |
(*.f64 (*.f64 #s(literal -100 binary64) n) (-.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (exp.f64 i) i))) |
(* -1 (* n (+ (* 50 (/ (* i (exp i)) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 50 binary64) (fma.f64 (/.f64 (exp.f64 i) i) #s(literal -100 binary64) (/.f64 #s(literal 100 binary64) i))) (neg.f64 n)) |
(* -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)))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (exp.f64 i) i) #s(literal -100 binary64) (/.f64 #s(literal 100 binary64) i)) (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) (exp.f64 i)) i (*.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) (/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) n))) n)) (neg.f64 n)) |
(* -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 (-.f64 (fma.f64 (/.f64 (exp.f64 i) i) #s(literal -100 binary64) (/.f64 #s(literal 100 binary64) i)) (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) (exp.f64 i)) i (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) (exp.f64 i)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) (*.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) (/.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n) i))) (neg.f64 n))) n)) (neg.f64 n)) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* 1/2 (/ (* i (exp i)) n))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (/.f64 (exp.f64 i) (neg.f64 i))) (neg.f64 n)) |
(* -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))))) |
(*.f64 n (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 i)) i (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i))) n) (/.f64 (exp.f64 i) 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))))) |
(*.f64 n (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 i)) i (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) i) (/.f64 (exp.f64 i) n) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (neg.f64 i))) (neg.f64 n))) n) (/.f64 (exp.f64 i) 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)) |
(-.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 i)) i (*.f64 (/.f64 (exp.f64 i) (neg.f64 i)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n))) n)) |
(+ (* -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)) |
(-.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 i)) i (/.f64 (fma.f64 (/.f64 (exp.f64 i) (neg.f64 i)) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n) (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (/.f64 (exp.f64 i) i))) (neg.f64 n))) n)) |
(* 100 (/ (* (pow n 2) (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))) i)) |
(*.f64 (*.f64 (-.f64 (log.f64 i) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (*.f64 n n) i)) #s(literal 100 binary64)) |
(- (log i) (+ (log -1) (* -1 (log (/ -1 n))))) |
(-.f64 (log.f64 i) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) |
(/ (- (log i) (+ (log -1) (* -1 (log (/ -1 n))))) i) |
(/.f64 (-.f64 (log.f64 i) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))) i) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 279 |
| 0 | 72 | 275 |
| 1 | 283 | 271 |
| 2 | 2077 | 271 |
| 0 | 8565 | 260 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) |
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64))) |
(/.f64 (expm1.f64 i) i) |
(expm1.f64 i) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n) |
#s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) |
(fma.f64 #s(literal 50 binary64) i #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(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 (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) |
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) |
(-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.f64 n i)) |
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.f64 n i))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) |
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) |
(*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) |
(*.f64 (*.f64 n n) #s(literal 100 binary64)) |
(*.f64 n n) |
(*.f64 n #s(literal 100 binary64)) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(-.f64 (log.f64 i) (log.f64 n)) |
(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (expm1.f64 (*.f64 i #s(literal 2 binary64))))) (/.f64 (*.f64 n #s(literal 100 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (expm1.f64 (*.f64 i #s(literal 3 binary64))))) (/.f64 (*.f64 n #s(literal 100 binary64)) (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (expm1.f64 i)) i)) |
(*.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 i (expm1.f64 (*.f64 i #s(literal 2 binary64))))) (pow.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 i (expm1.f64 (*.f64 i #s(literal 3 binary64))))) (pow.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (expm1.f64 i) n) #s(literal 1 binary64)) (/.f64 #s(literal 100 binary64) i)) |
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) #s(literal 1 binary64)) (/.f64 n i)) |
(*.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 i #s(literal 2 binary64))))) (/.f64 #s(literal 100 binary64) (+.f64 (exp.f64 i) #s(literal 1 binary64)))) |
(*.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 i #s(literal 3 binary64))))) (/.f64 #s(literal 100 binary64) (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i (expm1.f64 (*.f64 i #s(literal 2 binary64))))) (/.f64 n (+.f64 (exp.f64 i) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i (expm1.f64 (*.f64 i #s(literal 3 binary64))))) (/.f64 n (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) #s(literal 1 binary64)) (/.f64 (expm1.f64 i) i)) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) |
(*.f64 (/.f64 (expm1.f64 i) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 i) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (/.f64 (expm1.f64 i) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 n (pow.f64 (expm1.f64 i) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 (expm1.f64 i) n) #s(literal 100 binary64)) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)) |
(*.f64 (pow.f64 i #s(literal -1 binary64)) (/.f64 (*.f64 n #s(literal 100 binary64)) (pow.f64 (expm1.f64 i) #s(literal -1 binary64)))) |
(*.f64 (/.f64 n i) (/.f64 #s(literal 100 binary64) (pow.f64 (expm1.f64 i) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) (/.f64 n #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n) |
(*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) |
(*.f64 (/.f64 (expm1.f64 i) i) (/.f64 (*.f64 n #s(literal 100 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64))) |
(*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) #s(literal 100 binary64))) |
(*.f64 (expm1.f64 i) (*.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 n #s(literal 100 binary64)))) |
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 i) i) n)) |
(pow.f64 (*.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) #s(literal 1/100 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 i)) (*.f64 n #s(literal 100 binary64)))) (neg.f64 (neg.f64 i))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 n #s(literal 100 binary64)))) (neg.f64 (/.f64 i (expm1.f64 i)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (neg.f64 (expm1.f64 i)))) (neg.f64 (neg.f64 i))) |
(/.f64 (neg.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 i (expm1.f64 i)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 i) n) #s(literal 100 binary64)))) (neg.f64 (neg.f64 i))) |
(/.f64 (neg.f64 (*.f64 n #s(literal 100 binary64))) (neg.f64 (/.f64 i (expm1.f64 i)))) |
(/.f64 (*.f64 (neg.f64 (expm1.f64 i)) (*.f64 n #s(literal 100 binary64))) (neg.f64 i)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 n #s(literal 100 binary64))) (/.f64 i (expm1.f64 i))) |
(/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (neg.f64 (expm1.f64 i))) (neg.f64 i)) |
(/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) #s(literal 1 binary64)) (/.f64 i (expm1.f64 i))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 i) n) #s(literal 100 binary64))) (neg.f64 i)) |
(/.f64 (*.f64 (*.f64 (expm1.f64 i) n) #s(literal 100 binary64)) i) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) #s(literal 1/100 binary64)))) |
(/.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 i (expm1.f64 i))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) #s(literal 1/100 binary64))) |
(*.f64 (/.f64 (expm1.f64 i) #s(literal 1 binary64)) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i) (/.f64 (expm1.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 i #s(literal 2 binary64))) i) (/.f64 (pow.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 i #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) #s(literal -1 binary64)) i)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) i) (/.f64 (pow.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) #s(literal -1 binary64)) i)) |
(*.f64 (pow.f64 (/.f64 i (expm1.f64 (*.f64 i #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 i (expm1.f64 (*.f64 i #s(literal 3 binary64)))) #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 (pow.f64 i #s(literal -1 binary64)) (pow.f64 (pow.f64 (expm1.f64 i) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 i #s(literal -1 binary64)) (expm1.f64 i)) |
(*.f64 (neg.f64 (expm1.f64 i)) (pow.f64 (neg.f64 i) #s(literal -1 binary64))) |
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 1 binary64)) |
(*.f64 (expm1.f64 i) (/.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1 binary64))) |
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(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (log.f64 (*.f64 n i)) i))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64))) i))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (log.f64 i) i) (*.f64 i (log.f64 n)))) (neg.f64 (*.f64 i i))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (log.f64 i)) (neg.f64 i)) (*.f64 (neg.f64 i) (neg.f64 (log.f64 n)))) (*.f64 i i)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (log.f64 i)) i) (*.f64 (neg.f64 i) (log.f64 n))) (*.f64 (neg.f64 i) i)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (log.f64 i)) (/.f64 i (log.f64 n))) (*.f64 (neg.f64 i) #s(literal 1 binary64))) (*.f64 (neg.f64 i) (/.f64 i (log.f64 n)))) |
(/.f64 (-.f64 (*.f64 (log.f64 i) (neg.f64 i)) (*.f64 i (neg.f64 (log.f64 n)))) (*.f64 i (neg.f64 i))) |
(/.f64 (-.f64 (*.f64 (log.f64 i) (/.f64 i (log.f64 n))) i) (*.f64 i (/.f64 i (log.f64 n)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i)) (*.f64 (/.f64 i (log.f64 i)) (neg.f64 (log.f64 n)))) (*.f64 (/.f64 i (log.f64 i)) (neg.f64 i))) |
(/.f64 (-.f64 i (*.f64 (/.f64 i (log.f64 i)) (log.f64 n))) (*.f64 (/.f64 i (log.f64 i)) i)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 i (log.f64 n))) (*.f64 (/.f64 i (log.f64 i)) #s(literal 1 binary64))) (*.f64 (/.f64 i (log.f64 i)) (/.f64 i (log.f64 n)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64))) (pow.f64 i #s(literal -1 binary64))) (log.f64 (*.f64 n i))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64))) (pow.f64 i #s(literal -1 binary64))) (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (log.f64 (/.f64 i n)) #s(literal 1 binary64)) i) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 i) i) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 n) i) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 i) i) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 n) i) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 i) i) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 n) i) #s(literal 2 binary64)) (*.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) (neg.f64 (*.f64 i (log.f64 (*.f64 n i))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64)))) (neg.f64 (*.f64 i (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 n i)) i)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64))) i)) |
(/.f64 (-.f64 (*.f64 (log.f64 i) i) (*.f64 i (log.f64 n))) (*.f64 i i)) |
(/.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64))) (*.f64 i (log.f64 (*.f64 n i)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 i (log.f64 (/.f64 i n))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (log.f64 (/.f64 i n))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64))) (*.f64 i (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64))))) |
(/.f64 (log.f64 (/.f64 n i)) (neg.f64 (neg.f64 (neg.f64 i)))) |
(/.f64 (log.f64 (/.f64 n i)) (neg.f64 i)) |
(/.f64 (log.f64 (/.f64 i n)) (neg.f64 (neg.f64 i))) |
(/.f64 (log.f64 (/.f64 i n)) i) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 i (log.f64 (/.f64 i n)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (log.f64 (/.f64 i n))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (log.f64 (/.f64 i n)))) |
(neg.f64 (/.f64 (log.f64 (/.f64 n i)) i)) |
(fma.f64 (log.f64 i) (pow.f64 i #s(literal -1 binary64)) (neg.f64 (/.f64 (log.f64 n) i))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (log.f64 i) i) #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 (pow.f64 (/.f64 (log.f64 n) i) #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (log.f64 i) i) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 i) i) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 n) i) #s(literal 2 binary64)) (*.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))))) (/.f64 (pow.f64 (/.f64 (log.f64 n) i) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 i) i) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 n) i) #s(literal 2 binary64)) (*.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i)))))) |
(-.f64 (/.f64 (*.f64 (log.f64 i) i) (*.f64 i i)) (/.f64 (*.f64 i (log.f64 n)) (*.f64 i i))) |
(-.f64 (/.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (*.f64 i (log.f64 (*.f64 n i)))) (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (*.f64 i (log.f64 (*.f64 n i))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (*.f64 i (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (*.f64 i (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (log.f64 (*.f64 n i))) (neg.f64 (neg.f64 i))) (/.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (log.f64 (*.f64 n i))) (neg.f64 (neg.f64 i)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64)))) (neg.f64 (neg.f64 i))) (/.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64)))) (neg.f64 (neg.f64 i)))) |
(-.f64 (/.f64 (log.f64 (neg.f64 i)) (neg.f64 (neg.f64 i))) (/.f64 (log.f64 (neg.f64 n)) (neg.f64 (neg.f64 i)))) |
(-.f64 (/.f64 (log.f64 i) (neg.f64 (neg.f64 i))) (/.f64 (log.f64 n) (neg.f64 (neg.f64 i)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 i) #s(literal 2 binary64)) (log.f64 (*.f64 n i))) i) (/.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (log.f64 (*.f64 n i))) i)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64)))) i) (/.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (fma.f64 (log.f64 n) (log.f64 (*.f64 n i)) (pow.f64 (log.f64 i) #s(literal 2 binary64)))) i)) |
(-.f64 (/.f64 (log.f64 (neg.f64 i)) i) (/.f64 (log.f64 (neg.f64 n)) i)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 i))) (/.f64 (log.f64 (/.f64 n i)) i)) |
(-.f64 (/.f64 #s(literal 0 binary64) i) (/.f64 (log.f64 (/.f64 n i)) i)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 i)) (/.f64 (log.f64 (/.f64 n i)) i)) |
(-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i)) |
(exp.f64 (*.f64 (log.f64 (/.f64 i (log.f64 (/.f64 i n)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (log.f64 i) i) (neg.f64 (/.f64 (log.f64 n) i))) |
Compiled 43 103 to 5 064 computations (88.3% saved)
41 alts after pruning (37 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 238 | 19 | 1 257 |
| Fresh | 14 | 18 | 32 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 256 | 41 | 1 297 |
| Status | Accuracy | Program |
|---|---|---|
| 19.0% | (fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64))))) | |
| 8.4% | (fma.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) | |
| 8.4% | (fma.f64 #s(approx (* (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) | |
| 12.6% | (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n)) | |
| ▶ | 77.8% | (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n)) |
| ▶ | 12.6% | (/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)))) |
| 12.2% | (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) | |
| ▶ | 8.1% | (*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
| 12.2% | (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) | |
| ✓ | 76.7% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
| 50.5% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) | |
| ▶ | 65.7% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) |
| 19.9% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))) | |
| 23.8% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i)) | |
| 8.7% | (*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) (*.f64 (/.f64 i n) i)) (/.f64 (*.f64 (/.f64 i n) n) (*.f64 (/.f64 i n) i)))) | |
| 11.7% | (*.f64 #s(literal 100 binary64) (-.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) (/.f64 n i))) | |
| 63.1% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) | |
| 66.2% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) | |
| 51.5% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) n))) | |
| 49.5% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n)))) | |
| 66.2% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)))) | |
| 8.7% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))))) | |
| 56.9% | #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) n #s(literal 0 binary64)) i)) | |
| 12.9% | #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) | |
| 74.8% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) n) #s(literal 100 binary64)) i)) | |
| 13.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 (*.f64 n n) #s(literal 100 binary64))) i)) | |
| 75.1% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) #s(literal 1/100 binary64)))) | |
| ✓ | 80.1% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) |
| 68.4% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.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 n #s(literal 100 binary64)))) | |
| 14.4% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 n i) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (log.f64 (/.f64 i n))) #s(literal 1 binary64)))) | |
| 14.5% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) (*.f64 n #s(literal 100 binary64)))) | |
| 68.1% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (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))) #s(literal 100 binary64)) n)) | |
| 63.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))) | |
| 68.1% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) | |
| 66.2% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) | |
| ✓ | 63.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
| 63.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (+.f64 (*.f64 #s(literal 50 binary64) i) #s(literal 100 binary64))) n)) | |
| 63.2% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n)) | |
| ▶ | 13.7% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) |
| 14.5% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (*.f64 n (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64))))) | |
| ✓ | 55.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
Compiled 2 303 to 1 521 computations (34% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) | |
| cost-diff | 0 | (/.f64 n i) | |
| cost-diff | 0 | (*.f64 (/.f64 n i) #s(literal 100 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) | |
| cost-diff | 0 | (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 i n) | |
| cost-diff | 384 | (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64))) | |
| cost-diff | 512 | (/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) | |
| cost-diff | 0 | (*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) | |
| cost-diff | 0 | #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i)) | |
| cost-diff | 0 | #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n) | |
| cost-diff | 0 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) | |
| cost-diff | 0 | (*.f64 (log1p.f64 (/.f64 i n)) n) | |
| cost-diff | 0 | (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) | |
| cost-diff | 0 | (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) | |
| cost-diff | 384 | (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 304 |
| 0 | 69 | 301 |
| 1 | 120 | 301 |
| 2 | 187 | 301 |
| 3 | 320 | 301 |
| 4 | 583 | 301 |
| 5 | 1051 | 301 |
| 6 | 1514 | 301 |
| 7 | 2310 | 301 |
| 8 | 3601 | 301 |
| 9 | 4973 | 301 |
| 10 | 5727 | 301 |
| 11 | 6131 | 301 |
| 12 | 6219 | 301 |
| 13 | 6282 | 301 |
| 14 | 6659 | 301 |
| 15 | 6844 | 301 |
| 16 | 6988 | 301 |
| 17 | 7078 | 301 |
| 18 | 7269 | 301 |
| 19 | 7312 | 301 |
| 20 | 7346 | 301 |
| 21 | 7351 | 301 |
| 22 | 7354 | 301 |
| 23 | 7355 | 301 |
| 0 | 8055 | 297 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n)) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(*.f64 (log1p.f64 (/.f64 i n)) n) |
(log1p.f64 (/.f64 i n)) |
(/.f64 i n) |
i |
n |
#s(literal 100 binary64) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) |
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n) |
#s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) |
#s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i)) |
(*.f64 #s(literal 50 binary64) i) |
#s(literal 50 binary64) |
i |
n |
(*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) |
(fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) |
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) |
(+.f64 i #s(literal 1 binary64)) |
i |
#s(literal 1 binary64) |
#s(literal 100 binary64) |
#s(literal -100 binary64) |
n |
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)))) |
#s(literal 100 binary64) |
(/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 i n) |
i |
n |
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) |
(+.f64 i #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) |
(*.f64 (/.f64 n i) #s(literal 100 binary64)) |
(/.f64 n i) |
n |
i |
#s(literal 100 binary64) |
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) |
(expm1.f64 i) |
| Outputs |
|---|
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) |
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(*.f64 (log1p.f64 (/.f64 i n)) n) |
(log1p.f64 (/.f64 i n)) |
(/.f64 i n) |
i |
n |
#s(literal 100 binary64) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) |
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n) |
#s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) |
#s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i)) |
(*.f64 #s(literal 50 binary64) i) |
#s(literal 50 binary64) |
i |
n |
(*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(*.f64 (/.f64 n i) (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (-.f64 i #s(literal -1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64))) |
(/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) |
(/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (-.f64 i #s(literal -1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) |
(fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) |
(fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (-.f64 i #s(literal -1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) |
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) |
#s(approx (pow (+ 1 (/ i n)) n) (-.f64 i #s(literal -1 binary64))) |
(+.f64 i #s(literal 1 binary64)) |
(-.f64 i #s(literal -1 binary64)) |
i |
#s(literal 1 binary64) |
#s(literal 100 binary64) |
#s(literal -100 binary64) |
n |
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(*.f64 (/.f64 n i) (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (-.f64 i #s(literal -1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64))) |
#s(literal 100 binary64) |
(/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 i (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (-.f64 i #s(literal -1 binary64))) n (neg.f64 n))) |
(/.f64 i n) |
i |
n |
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (-.f64 i #s(literal -1 binary64))) #s(literal 1 binary64)) |
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) |
#s(approx (pow (+ 1 (/ i n)) n) (-.f64 i #s(literal -1 binary64))) |
(+.f64 i #s(literal 1 binary64)) |
(-.f64 i #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) |
(*.f64 (/.f64 n i) #s(literal 100 binary64)) |
(/.f64 n i) |
n |
i |
#s(literal 100 binary64) |
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) |
(expm1.f64 i) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (expm1.f64 i) | |
| accuracy | 0.14453125 | (*.f64 (/.f64 n i) #s(literal 100 binary64)) | |
| accuracy | 9.189893494910466 | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) | |
| accuracy | 11.477177048302604 | #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) | |
| accuracy | 0.5705896411685911 | (/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)))) | |
| accuracy | 9.222388406915828 | (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64))) | |
| accuracy | 14.42684562374379 | #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) | |
| accuracy | 41.30649686586218 | (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| accuracy | 0.08203125 | (*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) | |
| accuracy | 0.12109375 | (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) | |
| accuracy | 14.42684562374379 | #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) | |
| accuracy | 41.335563758027114 | (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) | |
| accuracy | 0.0625 | (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n) | |
| accuracy | 9.944255711100238 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) | |
| accuracy | 14.340807181060612 | #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) | |
| accuracy | 36.6227283750139 | #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i)) | |
| accuracy | 0.0390625 | (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) | |
| accuracy | 3.151641305495657 | (log1p.f64 (/.f64 i n)) | |
| accuracy | 8.891191900372718 | (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n)) | |
| accuracy | 9.324011453371634 | (*.f64 (log1p.f64 (/.f64 i n)) n) |
| 93.0ms | 125× | 1 | valid |
| 63.0ms | 72× | 2 | valid |
| 9.0ms | 4× | 5 | exit |
| 9.0ms | 16× | 1 | exit |
| 4.0ms | 16× | 0 | exit |
| 3.0ms | 12× | 0 | valid |
| 3.0ms | 11× | 0 | invalid |
Compiled 576 to 84 computations (85.4% saved)
ival-mult: 45.0ms (30.2% of total)ival-pow: 43.0ms (28.8% of total)ival-div: 23.0ms (15.4% of total)adjust: 17.0ms (11.4% of total)ival-add: 7.0ms (4.7% of total)ival-expm1: 6.0ms (4% of total)ival-log1p: 5.0ms (3.4% of total)ival-sub: 3.0ms (2% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n)) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(*.f64 (log1p.f64 (/.f64 i n)) n) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) |
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n) |
#s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) |
#s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i)) |
(*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) |
(fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) |
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) |
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 i n) |
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) |
(*.f64 (/.f64 n i) #s(literal 100 binary64)) |
(/.f64 n i) |
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) |
(log1p.f64 (/.f64 i n)) |
(expm1.f64 i) |
| Outputs |
|---|
(* 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)))))))))) |
(* 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)))))))))) |
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)))))) |
(* 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)))))) |
(+ (* 50 (* i n)) (* 100 n)) |
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n)))) |
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n)))))) |
100 |
(+ 100 (* 50 i)) |
(+ 100 (* i (+ 50 (* 50/3 i)))) |
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))) |
(+ 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))))))))) |
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 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(+ (* i (- (+ (* 1/2 (/ 1 (pow n 2))) (* i (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))))))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(+ (* i (- (+ (* 1/2 (/ 1 (pow n 2))) (* i (- (+ (* 1/2 (/ 1 (pow n 2))) (* i (- (+ (* 1/4 (/ 1 (pow n 2))) (* 1/4 (/ 1 (pow n 4)))) (+ (* 1/24 (/ 1 n)) (+ (* 11/24 (/ 1 (pow n 3))) (+ (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))))) (* (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))))))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(/ i n) |
(* 100 (/ n i)) |
(/ n i) |
(* 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))) |
(* 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 (/ (* 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) |
(* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) |
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(* 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))))))))))) |
(* 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))))))))))) |
(* 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))))))) |
(* 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)))))) |
(* (pow n 2) (+ (* 100 (/ (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))) i)) (* 100 (/ (+ (log i) (* -1 (log n))) i)))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* 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))))) i)) (* 100 (/ (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)) i)))))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (/ (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)) 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))))))) i)) (* 100 (/ (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2)))) i)))))))) |
(* 100 (/ (* n (+ (log i) (* -1 (log n)))) i)) |
(* n (+ (* 100 (/ (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))) i)) (* 100 (/ (+ (log i) (* -1 (log n))) i)))) |
(* n (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* 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))))) i)) (* 100 (/ (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)) i)))))) |
(* n (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (/ (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)) 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))))))) i)) (* 100 (/ (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2)))) 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)))))))) |
(/ i (* (pow n 2) (+ (log i) (* -1 (log n))))) |
(/ (+ (* -1 (/ (* i (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))) (pow (+ (log i) (* -1 (log n))) 2))) (/ i (+ (log i) (* -1 (log n))))) (pow n 2)) |
(/ (+ (* n (- (* -1 (* n (+ (* -1 (/ (* i (pow (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)) 2)) (pow (+ (log i) (* -1 (log n))) 3))) (/ (* i (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (pow (+ (log i) (* -1 (log n))) 2))))) (/ (* i (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))) (pow (+ (log i) (* -1 (log n))) 2)))) (/ i (+ (log i) (* -1 (log n))))) (pow n 2)) |
(/ (+ (* n (- (* n (- (* -1 (* n (+ (* -1 (/ (* i (* (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)) (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2)))))) (pow (+ (log i) (* -1 (log n))) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* i (pow (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)) 2)) (pow (+ (log i) (* -1 (log n))) 3))) (/ (* i (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (pow (+ (log i) (* -1 (log n))) 2))) (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))) (+ (log i) (* -1 (log n))))) (/ (* i (+ (* -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))))))) (pow (+ (log i) (* -1 (log n))) 2)))))) (+ (* -1 (/ (* i (pow (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)) 2)) (pow (+ (log i) (* -1 (log n))) 3))) (/ (* i (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (pow (+ (log i) (* -1 (log n))) 2))))) (/ (* i (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))) (pow (+ (log i) (* -1 (log n))) 2)))) (/ i (+ (log i) (* -1 (log n))))) (pow n 2)) |
(+ (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))))) |
(* 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)))))) |
(* 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)))))) |
(- (+ (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) |
(+ 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)))))) |
(/ (* n (- (* 100 (exp i)) 100)) i) |
(* n (- (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (exp i) i))) (* 100 (/ 1 i)))) |
(* n (- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (* 100 (/ 1 i)))) |
(* n (- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) 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))))))) (* 100 (/ 1 i)))) |
(/ (- (* 100 (exp i)) 100) i) |
(- (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (exp i) i))) (* 100 (/ 1 i))) |
(- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (* 100 (/ 1 i))) |
(- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) 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))))))) (* 100 (/ 1 i))) |
(- (* 100 (exp i)) 100) |
(- (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (exp i))) 100) |
(- (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (exp i)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 100) |
(- (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (exp i)) (+ (* 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)))))) 100) |
(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))))) |
(/ i (* n (- (exp i) 1))) |
(/ (+ (* 1/2 (/ (* (pow i 3) (exp i)) (* n (pow (- (exp i) 1) 2)))) (/ i (- (exp i) 1))) n) |
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow i 5) (pow (exp i) 2)) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 2))) (pow n 2))) (/ i (- (exp i) 1))) (* -1/2 (/ (* (pow i 3) (exp i)) (* n (pow (- (exp i) 1) 2))))) n) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow i 2) (* (exp i) (+ (* -1/4 (/ (* (pow i 5) (pow (exp i) 2)) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 2))))) (- (exp i) 1))) (+ (* 1/2 (/ (* (pow i 3) (* (pow (exp i) 2) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6)))))) (pow (- (exp i) 1) 2)))) (pow n 3))) (/ i (- (exp i) 1))) (+ (* -1/2 (/ (* (pow i 3) (exp i)) (* n (pow (- (exp i) 1) 2)))) (+ (* -1/4 (/ (* (pow i 5) (pow (exp i) 2)) (* (pow n 2) (pow (- (exp i) 1) 3)))) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (* (pow n 2) (pow (- (exp i) 1) 2)))))) n) |
(/ (+ 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 (* 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 (/ (+ (* -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))) |
(- (+ (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) |
(+ 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 (+ (* -1 (/ (- (* 100 (exp i)) 100) i)) (* 50 (/ (* i (exp i)) n))))) |
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* -1 (/ (- (* 100 (exp i)) 100) 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)) (* -1 (/ (- (* 100 (exp i)) 100) 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) i))) (* 100 (/ 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) i))) (* 100 (/ 1 i))) |
(- (+ (* -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))) 100) |
(- (+ (* -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))) 100) |
(+ (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 (/ (+ (* -1 (/ i (- (exp i) 1))) (* -1/2 (/ (* (pow i 3) (exp i)) (* n (pow (- (exp i) 1) 2))))) n)) |
(* -1 (/ (+ (* -1 (/ i (- (exp i) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (pow i 5) (pow (exp i) 2)) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 2))) n)) (* 1/2 (/ (* (pow i 3) (exp i)) (pow (- (exp i) 1) 2)))) n))) n)) |
(* -1 (/ (+ (* -1 (/ i (- (exp i) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow i 2) (* (exp i) (+ (* -1/4 (/ (* (pow i 5) (pow (exp i) 2)) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 2))))) (- (exp i) 1))) (+ (* -1/2 (/ (* (pow i 3) (* (pow (exp i) 2) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4)))))) (pow (- (exp i) 1) 2)))) n)) (+ (* -1/4 (/ (* (pow i 5) (pow (exp i) 2)) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 2)))) n)) (* 1/2 (/ (* (pow i 3) (exp i)) (pow (- (exp i) 1) 2)))) 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)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | i | @ | -inf | ((/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (* (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) n) (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (pow (+ 1 (/ i n)) n) (/ 100 (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1))) (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (/ i n) (- (pow (+ 1 (/ i n)) n) 1) (* (* (/ n i) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (/ n i) 100) (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (log (+ 1 (/ i n))) (- (exp i) 1)) |
| 6.0ms | i | @ | inf | ((/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (* (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) n) (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (pow (+ 1 (/ i n)) n) (/ 100 (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1))) (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (/ i n) (- (pow (+ 1 (/ i n)) n) 1) (* (* (/ n i) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (/ n i) 100) (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (log (+ 1 (/ i n))) (- (exp i) 1)) |
| 5.0ms | n | @ | 0 | ((/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (* (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) n) (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (pow (+ 1 (/ i n)) n) (/ 100 (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1))) (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (/ i n) (- (pow (+ 1 (/ i n)) n) 1) (* (* (/ n i) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (/ n i) 100) (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (log (+ 1 (/ i n))) (- (exp i) 1)) |
| 4.0ms | n | @ | -inf | ((/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (* (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) n) (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (pow (+ 1 (/ i n)) n) (/ 100 (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1))) (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (/ i n) (- (pow (+ 1 (/ i n)) n) 1) (* (* (/ n i) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (/ n i) 100) (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (log (+ 1 (/ i n))) (- (exp i) 1)) |
| 4.0ms | n | @ | inf | ((/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (/ i n)) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (/ (- (exp i) 1) i) 100) (+ (* 50 i) 100) (* (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) n) (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (pow (+ 1 (/ i n)) n) (/ 100 (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1))) (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (/ i n) (- (pow (+ 1 (/ i n)) n) 1) (* (* (/ n i) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (/ n i) 100) (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (log (+ 1 (/ i n))) (- (exp i) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1125 | 9735 |
| 1 | 3625 | 8913 |
| 0 | 8382 | 8206 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 100 n) |
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(* 100 i) |
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i |
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100 |
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1 |
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(/ 1 n) |
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(/ i n) |
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(* 50 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)))))) |
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(* n (+ (log i) (+ (* -1 (log n)) (/ n i)))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i)))))) |
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(* (pow n 2) (+ (* 100 (/ (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))) i)) (* 100 (/ (+ (log i) (* -1 (log n))) i)))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* 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))))) i)) (* 100 (/ (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)) i)))))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (/ (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)) 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))))))) i)) (* 100 (/ (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2)))) i)))))))) |
(* 100 (/ (* n (+ (log i) (* -1 (log n)))) i)) |
(* n (+ (* 100 (/ (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))) i)) (* 100 (/ (+ (log i) (* -1 (log n))) i)))) |
(* n (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* 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))))) i)) (* 100 (/ (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)) i)))))) |
(* n (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (/ (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)) 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))))))) i)) (* 100 (/ (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2)))) i)))))))) |
(+ 1 (* n (+ (log i) (* -1 (log n))))) |
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(+ 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)))))))) |
(/ i (* (pow n 2) (+ (log i) (* -1 (log n))))) |
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(+ (log i) (* -1 (log n))) |
(+ (log i) (+ (* -1 (log n)) (/ n i))) |
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(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) |
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(* 100 (- (exp i) 1)) |
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(+ i (* -1/2 (/ (pow i 2) n))) |
(+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) |
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(/ (* n (- (* 100 (exp i)) 100)) i) |
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(* n (- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) 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))))))) (* 100 (/ 1 i)))) |
(/ (- (* 100 (exp i)) 100) i) |
(- (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (exp i) i))) (* 100 (/ 1 i))) |
(- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (* 100 (/ 1 i))) |
(- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) 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))))))) (* 100 (/ 1 i))) |
(- (* 100 (exp i)) 100) |
(- (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (exp i))) 100) |
(- (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (exp i)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 100) |
(- (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (exp i)) (+ (* 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)))))) 100) |
(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))))) |
(/ i (* n (- (exp i) 1))) |
(/ (+ (* 1/2 (/ (* (pow i 3) (exp i)) (* n (pow (- (exp i) 1) 2)))) (/ i (- (exp i) 1))) n) |
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow i 5) (pow (exp i) 2)) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 2))) (pow n 2))) (/ i (- (exp i) 1))) (* -1/2 (/ (* (pow i 3) (exp i)) (* n (pow (- (exp i) 1) 2))))) n) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow i 2) (* (exp i) (+ (* -1/4 (/ (* (pow i 5) (pow (exp i) 2)) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 2))))) (- (exp i) 1))) (+ (* 1/2 (/ (* (pow i 3) (* (pow (exp i) 2) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6)))))) (pow (- (exp i) 1) 2)))) (pow n 3))) (/ i (- (exp i) 1))) (+ (* -1/2 (/ (* (pow i 3) (exp i)) (* n (pow (- (exp i) 1) 2)))) (+ (* -1/4 (/ (* (pow i 5) (pow (exp i) 2)) (* (pow n 2) (pow (- (exp i) 1) 3)))) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (* (pow n 2) (pow (- (exp i) 1) 2)))))) n) |
(/ (+ 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 (* 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 (/ (+ (* -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))) |
(- (+ (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) |
(+ 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 (+ (* -1 (/ (- (* 100 (exp i)) 100) i)) (* 50 (/ (* i (exp i)) n))))) |
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* -1 (/ (- (* 100 (exp i)) 100) 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)) (* -1 (/ (- (* 100 (exp i)) 100) 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) i))) (* 100 (/ 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) i))) (* 100 (/ 1 i))) |
(- (+ (* -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))) 100) |
(- (+ (* -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))) 100) |
(+ (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 (/ (+ (* -1 (/ i (- (exp i) 1))) (* -1/2 (/ (* (pow i 3) (exp i)) (* n (pow (- (exp i) 1) 2))))) n)) |
(* -1 (/ (+ (* -1 (/ i (- (exp i) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (pow i 5) (pow (exp i) 2)) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 2))) n)) (* 1/2 (/ (* (pow i 3) (exp i)) (pow (- (exp i) 1) 2)))) n))) n)) |
(* -1 (/ (+ (* -1 (/ i (- (exp i) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow i 2) (* (exp i) (+ (* -1/4 (/ (* (pow i 5) (pow (exp i) 2)) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 2))))) (- (exp i) 1))) (+ (* -1/2 (/ (* (pow i 3) (* (pow (exp i) 2) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4)))))) (pow (- (exp i) 1) 2)))) n)) (+ (* -1/4 (/ (* (pow i 5) (pow (exp i) 2)) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 2)))) n)) (* 1/2 (/ (* (pow i 3) (exp i)) (pow (- (exp i) 1) 2)))) 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)) |
| Outputs |
|---|
(* 100 n) |
(*.f64 #s(literal 100 binary64) n) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (*.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i (*.f64 #s(literal 100 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 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n (*.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n)))))) i (*.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) n)) |
(* 100 i) |
(*.f64 #s(literal 100 binary64) i) |
(* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i) |
(* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n)))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64)) i) |
(* 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)))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 100 binary64))) i #s(literal 100 binary64)) i) |
i |
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i) |
(* 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 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i) |
(* i (+ 1 (* -1/2 (/ i n)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) #s(literal 1 binary64)) i) |
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i) |
(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n)))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (/.f64 i (pow.f64 n #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) i (/.f64 #s(literal -1/2 binary64) n)) i) i i) |
(+ (* 50 (* i n)) (* 100 n)) |
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) |
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n)))) |
(fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 #s(literal 100 binary64) n)) |
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n)))))) |
(fma.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 #s(literal 100 binary64) n)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* 50 i)) |
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) |
(+ 100 (* i (+ 50 (* 50/3 i)))) |
(fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) |
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64)) |
(+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) |
(+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))) |
(fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64)) |
(+ 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))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 100 binary64))) i #s(literal 100 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 i) |
(+.f64 #s(literal 1 binary64) i) |
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)) |
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64)) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(+ (* i (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)) |
(+ (* i (- (+ (* 1/2 (/ 1 (pow n 2))) (* i (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))))))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
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(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n))) |
(-.f64 i (/.f64 (fma.f64 (*.f64 i i) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal -1/4 binary64) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (neg.f64 n))) n)) |
(* -1 (* n (+ (* -1 (/ (- (* 100 (exp i)) 100) i)) (* 50 (/ (* i (exp i)) n))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 50 binary64) (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (neg.f64 i))) (neg.f64 n)) |
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* -1 (/ (- (* 100 (exp i)) 100) i))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) #s(literal 100 binary64)) n) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -50 binary64))) n))) (neg.f64 n)) |
(* -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)) (* -1 (/ (- (* 100 (exp i)) 100) i))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) i) (/.f64 (exp.f64 i) n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)) #s(literal -100 binary64))) (neg.f64 n))) n))) (neg.f64 n)) |
(- (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 50 (* i (exp i)))) n)) (* 100 (/ (exp i) i))) (* 100 (/ 1 i))) |
(+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -100 binary64) n) (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)) (*.f64 (*.f64 (exp.f64 i) i) #s(literal 50 binary64))) (neg.f64 n)) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) |
(- (+ (* -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) i))) (* 100 (/ 1 i))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal 50 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -100 binary64) i) (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)) (*.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)) #s(literal 100 binary64))) (neg.f64 n))) n) #s(literal -1 binary64) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) |
(- (+ (* -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))) 100) |
(fma.f64 (expm1.f64 i) #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)) #s(literal -100 binary64) (*.f64 (*.f64 #s(literal 50 binary64) (*.f64 i i)) (exp.f64 i))) (neg.f64 n))) |
(- (+ (* -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))) 100) |
(fma.f64 (expm1.f64 i) #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 50 binary64) (*.f64 i i)) (exp.f64 i) (/.f64 (fma.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)) #s(literal -100 binary64) (*.f64 (*.f64 (exp.f64 i) #s(literal 100 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))))) (neg.f64 n))) (neg.f64 n))) |
(+ (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 (fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (neg.f64 n))) 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 (fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i) (/.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (exp.f64 i)) (neg.f64 n))) (neg.f64 n))) n)) |
(* -1 (/ (+ (* -1 (/ i (- (exp i) 1))) (* -1/2 (/ (* (pow i 3) (exp i)) (* n (pow (- (exp i) 1) 2))))) n)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) (exp.f64 i)) (*.f64 (pow.f64 (expm1.f64 i) #s(literal 2 binary64)) n)) #s(literal -1/2 binary64) (/.f64 (neg.f64 i) (expm1.f64 i))) (neg.f64 n)) |
(* -1 (/ (+ (* -1 (/ i (- (exp i) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (pow i 5) (pow (exp i) 2)) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 2))) n)) (* 1/2 (/ (* (pow i 3) (exp i)) (pow (- (exp i) 1) 2)))) n))) n)) |
(/.f64 (-.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) (exp.f64 i)) (pow.f64 (expm1.f64 i) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 i) #s(literal 2 binary64)) (pow.f64 i #s(literal 5 binary64))) (pow.f64 (expm1.f64 i) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (exp.f64 i) i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64)))) (pow.f64 (expm1.f64 i) #s(literal 2 binary64)))) n)) (neg.f64 n)) (/.f64 i (expm1.f64 i))) (neg.f64 n)) |
(* -1 (/ (+ (* -1 (/ i (- (exp i) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow i 2) (* (exp i) (+ (* -1/4 (/ (* (pow i 5) (pow (exp i) 2)) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 2))))) (- (exp i) 1))) (+ (* -1/2 (/ (* (pow i 3) (* (pow (exp i) 2) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4)))))) (pow (- (exp i) 1) 2)))) n)) (+ (* -1/4 (/ (* (pow i 5) (pow (exp i) 2)) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 2)))) n)) (* 1/2 (/ (* (pow i 3) (exp i)) (pow (- (exp i) 1) 2)))) n))) n)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) (exp.f64 i)) (pow.f64 (expm1.f64 i) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 i) #s(literal 2 binary64)) (pow.f64 i #s(literal 5 binary64))) (pow.f64 (expm1.f64 i) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (exp.f64 i) i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64)))) (pow.f64 (expm1.f64 i) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 i i) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 i) #s(literal 2 binary64)) (pow.f64 i #s(literal 5 binary64))) (pow.f64 (expm1.f64 i) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (exp.f64 i) i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64)))) (pow.f64 (expm1.f64 i) #s(literal 2 binary64)))) (exp.f64 i)) (expm1.f64 i)) (/.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 i) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64))) (pow.f64 (expm1.f64 i) #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 (exp.f64 i) i) (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64))))) (pow.f64 (expm1.f64 i) #s(literal 2 binary64)))) n)) (neg.f64 n))) (neg.f64 n)) (/.f64 i (expm1.f64 i))) (neg.f64 n)) |
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n)) |
(/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal 1/2 binary64) (neg.f64 i)) (neg.f64 n)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n)) |
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 1/3 binary64) (*.f64 (*.f64 i i) #s(literal -1/2 binary64))) n) i)) (neg.f64 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 (-.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal 1/4 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (neg.f64 n))) (neg.f64 n)) i) (neg.f64 n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 263 |
| 0 | 69 | 261 |
| 1 | 248 | 261 |
| 2 | 1684 | 261 |
| 0 | 8056 | 257 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n)) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(*.f64 (log1p.f64 (/.f64 i n)) n) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) |
(*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n) |
#s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) |
#s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i)) |
(*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) |
(fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) |
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) |
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 i n) |
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) |
(*.f64 (/.f64 n i) #s(literal 100 binary64)) |
(/.f64 n i) |
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i)) |
(log1p.f64 (/.f64 i n)) |
(expm1.f64 i) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 n) i)) |
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (pow.f64 (neg.f64 n) #s(literal -1 binary64))) (pow.f64 (neg.f64 i) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (pow.f64 n #s(literal -1 binary64))) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) (pow.f64 (neg.f64 n) #s(literal -1 binary64))) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (pow.f64 (neg.f64 n) #s(literal -1 binary64))) (/.f64 #s(literal 100 binary64) (neg.f64 i))) |
(*.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (neg.f64 (pow.f64 n #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal -100 binary64) i) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 (pow.f64 n #s(literal -1 binary64))))) |
(*.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 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) (/.f64 #s(literal 100 binary64) (neg.f64 (pow.f64 n #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (/.f64 i #s(literal 100 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 n) #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) (neg.f64 n)) |
(*.f64 (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal -1 binary64)) (/.f64 n i)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) (/.f64 #s(literal -100 binary64) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) (/.f64 #s(literal 100 binary64) (pow.f64 (neg.f64 n) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) (neg.f64 i)) (/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 100 binary64) (neg.f64 i)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (pow.f64 (neg.f64 n) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) n) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) (pow.f64 n #s(literal -1 binary64))) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (pow.f64 n #s(literal -1 binary64))) (/.f64 #s(literal 100 binary64) i)) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) (/.f64 n #s(literal 1 binary64))) |
(*.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) (pow.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 100 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (/.f64 #s(literal 100 binary64) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (pow.f64 i #s(literal -1 binary64)) (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (pow.f64 n #s(literal -1 binary64)))) |
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(*.f64 (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (/.f64 (expm1.f64 i) #s(literal 1 binary64))) |
(*.f64 (expm1.f64 (*.f64 i #s(literal 2 binary64))) (pow.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (expm1.f64 (*.f64 i #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (expm1.f64 (*.f64 i #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 i) #s(literal 2 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 i) #s(literal 2 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 i) #s(literal 2 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) #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 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 (/.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)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.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)))) (/.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)))) (fma.f64 (pow.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) #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 (/.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 (+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 i) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 i) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (exp.f64 i))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 i #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 i) #s(literal 2 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.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)))) (*.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 i #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 i) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 i #s(literal 2 binary64)))) (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 #s(literal 1 binary64) (*.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 #s(literal 2 binary64))) (-.f64 (exp.f64 i) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (*.f64 i #s(literal 2 binary64))) (+.f64 (exp.f64 i) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (expm1.f64 (*.f64 i #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (expm1.f64 (*.f64 i #s(literal 3 binary64)))))) |
(/.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (fma.f64 (exp.f64 i) (exp.f64 i) (-.f64 #s(literal 1 binary64) (*.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (expm1.f64 (*.f64 i #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (expm1.f64 (*.f64 i #s(literal 3 binary64))))) |
(fma.f64 (exp.f64 i) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (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))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 i) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 i) #s(literal 3 binary64)) (fma.f64 (exp.f64 i) (exp.f64 i) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 i) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 i) (exp.f64 i) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 i) #s(literal -1 binary64)))))) |
(-.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 #s(literal -1 binary64) (exp.f64 i)) |
(+.f64 (exp.f64 i) #s(literal -1 binary64)) |
Compiled 32 256 to 3 699 computations (88.5% saved)
44 alts after pruning (37 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 900 | 11 | 911 |
| Fresh | 6 | 26 | 32 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 908 | 44 | 952 |
| Status | Accuracy | Program |
|---|---|---|
| 19.0% | (fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64))))) | |
| 8.4% | (fma.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) | |
| 8.4% | (fma.f64 #s(approx (* (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) | |
| 66.8% | (/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i))) #s(literal 100 binary64)) (/.f64 i n)) | |
| 66.6% | (/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 (expm1.f64 i) #s(literal 100 binary64))) (/.f64 i n)) | |
| 12.6% | (/.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 (neg.f64 i) n))) | |
| 63.5% | (/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) | |
| 55.5% | (/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (/.f64 #s(literal 1 binary64) n))) | |
| 15.0% | (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 100 binary64) #s(literal -100 binary64)) n))) | |
| 12.2% | (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) | |
| ✓ | 8.1% | (*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
| 14.7% | (*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) n)) | |
| 66.0% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 i n))) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) | |
| 12.2% | (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) | |
| ✓ | 76.7% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
| ✓ | 65.7% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) |
| 54.3% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #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)))) | |
| 51.7% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i)))) | |
| 63.1% | (*.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n) | |
| 19.9% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))) | |
| 23.8% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i)) | |
| 11.7% | (*.f64 #s(literal 100 binary64) (-.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) (/.f64 n i))) | |
| 63.1% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) | |
| 66.2% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) | |
| 51.5% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) n))) | |
| 49.5% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n)))) | |
| 66.2% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)))) | |
| 8.7% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))))) | |
| 56.9% | #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) n #s(literal 0 binary64)) i)) | |
| 12.9% | #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) | |
| 13.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 (*.f64 n n) #s(literal 100 binary64))) i)) | |
| ✓ | 80.1% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) |
| 14.4% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 n i) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (log.f64 (/.f64 i n))) #s(literal 1 binary64)))) | |
| 14.5% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) (*.f64 n #s(literal 100 binary64)))) | |
| 68.1% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (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))) #s(literal 100 binary64)) n)) | |
| 63.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))) | |
| 68.1% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) | |
| 66.2% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) | |
| ✓ | 63.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
| 63.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (+.f64 (*.f64 #s(literal 50 binary64) i) #s(literal 100 binary64))) n)) | |
| 63.2% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n)) | |
| ✓ | 13.7% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) |
| 14.5% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (*.f64 n (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64))))) | |
| ✓ | 55.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
Compiled 3 435 to 1 261 computations (63.3% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (+.f64 (*.f64 #s(literal 50 binary64) i) #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) n #s(literal 0 binary64)) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (/.f64 #s(literal 1 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n)) |
(*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))))) |
(*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (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))) #s(literal 100 binary64)) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) |
(*.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))) |
(*.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n) |
(/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 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(literal 100 binary64) (-.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) (/.f64 n i))) |
(fma.f64 #s(approx (* (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 100 binary64) #s(literal -100 binary64)) n))) |
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.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 n #s(literal 100 binary64)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #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)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) |
(/.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 (neg.f64 i) n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n)))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) |
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) (*.f64 (/.f64 i n) i)) (/.f64 (*.f64 (/.f64 i n) n) (*.f64 (/.f64 i n) i)))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) n) #s(literal 100 binary64)) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) |
(/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 (expm1.f64 i) #s(literal 100 binary64))) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) #s(literal 1/100 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 i n))) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (*.f64 n (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 (*.f64 n n) #s(literal 100 binary64))) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) |
(*.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 (/.f64 n i) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (log.f64 (/.f64 i n))) #s(literal 1 binary64)))) |
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.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 (neg.f64 n) i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))) |
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) #s(literal 100 binary64)) n (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 n #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i))) |
(/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i))) #s(literal 100 binary64)) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n))) |
(*.f64 (*.f64 n (/.f64 #s(literal 100 binary64) i)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) 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)) #s(literal 100 binary64)) i) n) |
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n #s(literal 100 binary64)))) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 i n) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (/.f64 i n) i)) n)) |
(/.f64 (/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))))) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 (neg.f64 i) n)) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (/.f64 (neg.f64 i) n)))) |
| Outputs |
|---|
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i)) |
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) |
4 calls:
| 28.0ms | n |
| 22.0ms | i |
| 18.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 18.0ms | (*.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 |
|---|---|---|
| 91.8% | 4 | i |
| 93.1% | 3 | n |
| 97.7% | 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))) |
| 97.7% | 3 | (/.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))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (+.f64 (*.f64 #s(literal 50 binary64) i) #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) n #s(literal 0 binary64)) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (/.f64 #s(literal 1 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n)) |
(*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))))) |
(*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (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))) #s(literal 100 binary64)) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) |
(*.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))) |
(*.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n) |
(/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 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(literal 100 binary64) (-.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) (/.f64 n i))) |
(fma.f64 #s(approx (* (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 100 binary64) #s(literal -100 binary64)) n))) |
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.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 n #s(literal 100 binary64)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #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)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) |
(/.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 (neg.f64 i) n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n)))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) |
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) (*.f64 (/.f64 i n) i)) (/.f64 (*.f64 (/.f64 i n) n) (*.f64 (/.f64 i n) i)))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) n) #s(literal 100 binary64)) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) |
(/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 (expm1.f64 i) #s(literal 100 binary64))) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) #s(literal 1/100 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 i n))) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (*.f64 n (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 (*.f64 n n) #s(literal 100 binary64))) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) |
(*.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 (/.f64 n i) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (log.f64 (/.f64 i n))) #s(literal 1 binary64)))) |
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.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 (neg.f64 n) i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))) |
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) #s(literal 100 binary64)) n (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 n #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i))) |
(/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i))) #s(literal 100 binary64)) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n))) |
(*.f64 (*.f64 n (/.f64 #s(literal 100 binary64) i)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) 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)) #s(literal 100 binary64)) i) n) |
| Outputs |
|---|
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64))))) |
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) |
2 calls:
| 24.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 17.0ms | (*.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 |
|---|---|---|
| 97.3% | 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))) |
| 97.3% | 3 | (/.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))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (+.f64 (*.f64 #s(literal 50 binary64) i) #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) n #s(literal 0 binary64)) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (/.f64 #s(literal 1 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n)) |
(*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))))) |
(*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (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))) #s(literal 100 binary64)) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) |
(*.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))) |
(*.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n) |
(/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 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(literal 100 binary64) (-.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) (/.f64 n i))) |
(fma.f64 #s(approx (* (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 100 binary64) #s(literal -100 binary64)) n))) |
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.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 n #s(literal 100 binary64)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #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)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) |
(/.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 (neg.f64 i) n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n)))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) |
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) (*.f64 (/.f64 i n) i)) (/.f64 (*.f64 (/.f64 i n) n) (*.f64 (/.f64 i n) i)))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) n) #s(literal 100 binary64)) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) |
(/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 (expm1.f64 i) #s(literal 100 binary64))) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) #s(literal 1/100 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 i n))) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (*.f64 n (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 (*.f64 n n) #s(literal 100 binary64))) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) |
(*.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 (/.f64 n i) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (log.f64 (/.f64 i n))) #s(literal 1 binary64)))) |
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.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 (neg.f64 n) i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))) |
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) #s(literal 100 binary64)) n (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 n #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i))) |
(/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i))) #s(literal 100 binary64)) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n))) |
(*.f64 (*.f64 n (/.f64 #s(literal 100 binary64) i)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n)) |
| Outputs |
|---|
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n)) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) |
2 calls:
| 21.0ms | (*.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))) |
| 16.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 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))) |
| 97.3% | 3 | (/.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))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (+.f64 (*.f64 #s(literal 50 binary64) i) #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) n #s(literal 0 binary64)) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (/.f64 #s(literal 1 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n)) |
(*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))))) |
(*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (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))) #s(literal 100 binary64)) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) |
(*.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))) |
(*.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n) |
(/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 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(literal 100 binary64) (-.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) (/.f64 n i))) |
(fma.f64 #s(approx (* (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 100 binary64) #s(literal -100 binary64)) n))) |
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.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 n #s(literal 100 binary64)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #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)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) |
(/.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 (neg.f64 i) n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n)))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) |
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) (*.f64 (/.f64 i n) i)) (/.f64 (*.f64 (/.f64 i n) n) (*.f64 (/.f64 i n) i)))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) n) #s(literal 100 binary64)) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) |
(/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 (expm1.f64 i) #s(literal 100 binary64))) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) #s(literal 1/100 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 i n))) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (*.f64 n (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 (*.f64 n n) #s(literal 100 binary64))) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) |
(*.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 (/.f64 n i) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (log.f64 (/.f64 i n))) #s(literal 1 binary64)))) |
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.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 (neg.f64 n) i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))) |
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) #s(literal 100 binary64)) n (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 n #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i))) |
(/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i))) #s(literal 100 binary64)) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n))) |
(*.f64 (*.f64 n (/.f64 #s(literal 100 binary64) i)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
| Outputs |
|---|
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64))))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) |
2 calls:
| 16.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 16.0ms | (*.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 |
|---|---|---|
| 97.3% | 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))) |
| 97.3% | 3 | (/.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))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (+.f64 (*.f64 #s(literal 50 binary64) i) #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) n #s(literal 0 binary64)) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (/.f64 #s(literal 1 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n)) |
(*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))))) |
(*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (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))) #s(literal 100 binary64)) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) |
(*.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))) |
(*.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n) |
(/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 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(literal 100 binary64) (-.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) (/.f64 n i))) |
(fma.f64 #s(approx (* (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 100 binary64) #s(literal -100 binary64)) n))) |
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.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 n #s(literal 100 binary64)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #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)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) |
(/.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 (neg.f64 i) n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n)))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) |
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) (*.f64 (/.f64 i n) i)) (/.f64 (*.f64 (/.f64 i n) n) (*.f64 (/.f64 i n) i)))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) n) #s(literal 100 binary64)) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) |
(/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 (expm1.f64 i) #s(literal 100 binary64))) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) #s(literal 1/100 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 i n))) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (*.f64 n (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 (*.f64 n n) #s(literal 100 binary64))) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) |
(*.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 (/.f64 n i) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (log.f64 (/.f64 i n))) #s(literal 1 binary64)))) |
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.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 (neg.f64 n) i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))) |
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) #s(literal 100 binary64)) n (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 n #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i))) |
(/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i))) #s(literal 100 binary64)) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n))) |
(*.f64 (*.f64 n (/.f64 #s(literal 100 binary64) i)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
| Outputs |
|---|
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64))))) |
(*.f64 (*.f64 n (/.f64 #s(literal 100 binary64) i)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) |
2 calls:
| 16.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 15.0ms | (*.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 |
|---|---|---|
| 96.6% | 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))) |
| 96.6% | 3 | (/.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))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (+.f64 (*.f64 #s(literal 50 binary64) i) #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) n #s(literal 0 binary64)) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (/.f64 #s(literal 1 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n)) |
(*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))))) |
(*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (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))) #s(literal 100 binary64)) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) |
(*.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))) |
(*.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n) |
(/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 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(literal 100 binary64) (-.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) (/.f64 n i))) |
(fma.f64 #s(approx (* (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 100 binary64) #s(literal -100 binary64)) n))) |
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.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 n #s(literal 100 binary64)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #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)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) |
(/.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 (neg.f64 i) n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n)))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) |
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) (*.f64 (/.f64 i n) i)) (/.f64 (*.f64 (/.f64 i n) n) (*.f64 (/.f64 i n) i)))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) n) #s(literal 100 binary64)) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) |
(/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 (expm1.f64 i) #s(literal 100 binary64))) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) #s(literal 1/100 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 i n))) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (*.f64 n (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 (*.f64 n n) #s(literal 100 binary64))) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) |
(*.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 (/.f64 n i) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (log.f64 (/.f64 i n))) #s(literal 1 binary64)))) |
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.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 (neg.f64 n) i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))) |
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) #s(literal 100 binary64)) n (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 n #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i))) |
(/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i))) #s(literal 100 binary64)) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n))) |
| Outputs |
|---|
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i)) |
(/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i))) #s(literal 100 binary64)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i)) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) |
4 calls:
| 21.0ms | n |
| 20.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 19.0ms | i |
| 15.0ms | (*.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 |
|---|---|---|
| 83.9% | 3 | i |
| 84.7% | 3 | n |
| 87.4% | 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))) |
| 87.4% | 4 | (/.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))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (+.f64 (*.f64 #s(literal 50 binary64) i) #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) n #s(literal 0 binary64)) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (/.f64 #s(literal 1 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n)) |
(*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))))) |
(*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (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))) #s(literal 100 binary64)) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) |
(*.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))) |
(*.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n) |
(/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 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(literal 100 binary64) (-.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) (/.f64 n i))) |
(fma.f64 #s(approx (* (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 100 binary64) #s(literal -100 binary64)) n))) |
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.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 n #s(literal 100 binary64)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #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)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) |
(/.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 (neg.f64 i) n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n)))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) |
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) (*.f64 (/.f64 i n) i)) (/.f64 (*.f64 (/.f64 i n) n) (*.f64 (/.f64 i n) i)))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) n) #s(literal 100 binary64)) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) |
(/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 (expm1.f64 i) #s(literal 100 binary64))) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) #s(literal 1/100 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 i n))) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (*.f64 n (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 (*.f64 n n) #s(literal 100 binary64))) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) |
(*.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 (/.f64 n i) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (log.f64 (/.f64 i n))) #s(literal 1 binary64)))) |
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.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 (neg.f64 n) i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))) |
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) #s(literal 100 binary64)) n (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 n #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 (/.f64 i n) n)) (*.f64 (/.f64 i n) i))) |
| Outputs |
|---|
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i)) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) |
2 calls:
| 15.0ms | (*.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))) |
| 14.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.3% | 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))) |
| 87.3% | 4 | (/.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))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (+.f64 (*.f64 #s(literal 50 binary64) i) #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) n #s(literal 0 binary64)) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (/.f64 #s(literal 1 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n)) |
(*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))))) |
(*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (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))) #s(literal 100 binary64)) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) |
(*.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))) |
(*.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n) |
(/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 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(literal 100 binary64) (-.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) (/.f64 n i))) |
(fma.f64 #s(approx (* (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 100 binary64) #s(literal -100 binary64)) n))) |
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.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 n #s(literal 100 binary64)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #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)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) |
(/.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 (neg.f64 i) n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n)))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) |
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) (*.f64 (/.f64 i n) i)) (/.f64 (*.f64 (/.f64 i n) n) (*.f64 (/.f64 i n) i)))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) n) #s(literal 100 binary64)) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) |
(/.f64 #s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 (expm1.f64 i) #s(literal 100 binary64))) (/.f64 i n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) #s(literal 1/100 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 i n))) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (*.f64 n (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 (*.f64 n n) #s(literal 100 binary64))) i)) |
| Outputs |
|---|
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) |
3 calls:
| 14.0ms | n |
| 11.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.7% | 3 | n |
| 84.7% | 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))) |
| 84.7% | 3 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
Compiled 29 to 20 computations (31% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (+.f64 (*.f64 #s(literal 50 binary64) i) #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) n #s(literal 0 binary64)) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (/.f64 #s(literal 1 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n)) |
(*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))))) |
(*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (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))) #s(literal 100 binary64)) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) |
(*.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))) |
(*.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n) |
(/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 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(literal 100 binary64) (-.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) (/.f64 n i))) |
(fma.f64 #s(approx (* (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 100 binary64) #s(literal -100 binary64)) n))) |
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.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 n #s(literal 100 binary64)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #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)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) |
(/.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 (neg.f64 i) n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n)))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) |
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) (*.f64 (/.f64 i n) i)) (/.f64 (*.f64 (/.f64 i n) n) (*.f64 (/.f64 i n) i)))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) n) #s(literal 100 binary64)) i)) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) |
1 calls:
| 13.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.7% | 3 | n |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (+.f64 (*.f64 #s(literal 50 binary64) i) #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) n #s(literal 0 binary64)) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (/.f64 #s(literal 1 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n)) |
(*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))))) |
(*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (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))) #s(literal 100 binary64)) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) |
(*.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))) |
(*.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n) |
(/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 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(literal 100 binary64) (-.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) (/.f64 n i))) |
(fma.f64 #s(approx (* (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 100 binary64) #s(literal -100 binary64)) n))) |
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.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 n #s(literal 100 binary64)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #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)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) |
(/.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 (neg.f64 i) n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n)))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) |
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) (*.f64 (/.f64 i n) i)) (/.f64 (*.f64 (/.f64 i n) n) (*.f64 (/.f64 i n) i)))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
1 calls:
| 11.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.7% | 3 | n |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (+.f64 (*.f64 #s(literal 50 binary64) i) #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) n #s(literal 0 binary64)) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (/.f64 #s(literal 1 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n)) |
(*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))))) |
(*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (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))) #s(literal 100 binary64)) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) |
(*.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))) |
(*.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n) |
(/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 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(literal 100 binary64) (-.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) (/.f64 n i))) |
(fma.f64 #s(approx (* (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 100 binary64) #s(literal -100 binary64)) n))) |
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.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 n #s(literal 100 binary64)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #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)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) |
(/.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 (neg.f64 i) n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n)))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) |
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) i) (*.f64 (/.f64 i n) i)) (/.f64 (*.f64 (/.f64 i n) n) (*.f64 (/.f64 i n) i)))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.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 n #s(literal 100 binary64)))) |
4 calls:
| 11.0ms | n |
| 11.0ms | 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 |
|---|---|---|
| 73.4% | 2 | i |
| 70.7% | 2 | (*.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))) |
| 70.7% | 2 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 76.1% | 3 | n |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (+.f64 (*.f64 #s(literal 50 binary64) i) #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) n #s(literal 0 binary64)) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (/.f64 #s(literal 1 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n)) |
(*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))))) |
(*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (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))) #s(literal 100 binary64)) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) |
(*.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))) |
(*.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n) |
(/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 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(literal 100 binary64) (-.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) (/.f64 n i))) |
(fma.f64 #s(approx (* (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 100 binary64) #s(literal -100 binary64)) n))) |
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.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 n #s(literal 100 binary64)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #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)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) |
(/.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64))) (/.f64 (neg.f64 i) n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) (*.f64 n n))) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
| Outputs |
|---|
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) |
(*.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))) (*.f64 (/.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 n #s(literal 100 binary64)))) |
2 calls:
| 13.0ms | i |
| 10.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.4% | 1 | i |
| 73.9% | 3 | n |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (+.f64 (*.f64 #s(literal 50 binary64) i) #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) n #s(literal 0 binary64)) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (/.f64 #s(literal 1 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n)) |
(*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))))) |
(*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (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))) #s(literal 100 binary64)) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) |
(*.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))) |
(*.f64 #s(approx (/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) i) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64))) n) |
(/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 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(literal 100 binary64) (-.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) (/.f64 n i))) |
(fma.f64 #s(approx (* (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 100 binary64) #s(literal -100 binary64)) n))) |
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (fma.f64 i (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)))) |
| Outputs |
|---|
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) |
(*.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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
1 calls:
| 8.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.6% | 3 | n |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (+.f64 (*.f64 #s(literal 50 binary64) i) #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) n #s(literal 0 binary64)) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (/.f64 #s(literal 1 binary64) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64)) i))) n)) |
(*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (* n i) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n)))) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))))) |
(*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(approx (/ (- (exp i) 1) i) (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))) #s(literal 100 binary64)) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) |
| Outputs |
|---|
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
1 calls:
| 6.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.6% | 3 | n |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (+.f64 (*.f64 #s(literal 50 binary64) i) #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) n #s(literal 0 binary64)) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) |
(/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (/.f64 #s(literal 1 binary64) n))) |
| Outputs |
|---|
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) 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 |
|---|---|---|
| 69.6% | 2 | i |
| 66.2% | 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))) |
| 66.2% | 1 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 71.5% | 3 | n |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (+.f64 (*.f64 #s(literal 50 binary64) i) #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) n #s(literal 0 binary64)) i)) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) |
1 calls:
| 3.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.5% | 3 | n |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (+.f64 (*.f64 #s(literal 50 binary64) i) #s(literal 100 binary64))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))) |
4 calls:
| 2.0ms | n |
| 2.0ms | i |
| 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 |
|---|---|---|
| 63.3% | 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))) |
| 63.3% | 1 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 65.7% | 2 | i |
| 68.5% | 3 | n |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (+.f64 (*.f64 #s(literal 50 binary64) i) #s(literal 100 binary64))) n)) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
1 calls:
| 2.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.5% | 3 | n |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
4 calls:
| 2.0ms | n |
| 2.0ms | 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))) |
| 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 |
|---|---|---|
| 63.3% | 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))) |
| 63.3% | 1 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 63.3% | 1 | i |
| 63.3% | 1 | n |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) 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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n)) |
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 |
|---|---|---|
| 55.3% | 1 | n |
| 55.3% | 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))) |
| 55.3% | 1 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 62.3% | 2 | i |
Compiled 30 to 22 computations (26.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#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 | 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))) |
| 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 |
|---|---|---|
| 55.3% | 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))) |
| 55.3% | 1 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 55.3% | 1 | i |
Compiled 29 to 20 computations (31% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -1.2362659429462345e-84 | -1.44243030943606e-124 |
Compiled 18 to 15 computations (16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -19450.8734922941 | -9.771496807916375e-26 |
Compiled 18 to 15 computations (16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -1.44243030943606e-124 | -1.6833749534178295e-153 |
Compiled 18 to 15 computations (16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -19450.8734922941 | -9.771496807916375e-26 |
Compiled 18 to 15 computations (16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -19450.8734922941 | -9.771496807916375e-26 |
Compiled 18 to 15 computations (16.7% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -0.0 | 1.6584872117284454e-203 |
| 0.0ms | -1.6833749534178295e-153 | -6.452812424217968e-259 |
Compiled 18 to 15 computations (16.7% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -0.0 | 1.6584872117284454e-203 |
| 0.0ms | -6.452812424217968e-259 | 0.0 |
Compiled 18 to 15 computations (16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 43.46717958168685 | 94.74348175679141 |
| 49.0ms | -3382593470070.1377 | -10116766.314305076 |
| 30.0ms | 67× | 2 | valid |
| 17.0ms | 78× | 1 | valid |
| 6.0ms | 7× | 3 | valid |
| 6.0ms | 72× | 0 | valid |
| 4.0ms | 65× | 0 | invalid |
Compiled 756 to 515 computations (31.9% saved)
ival-pow: 33.0ms (62.6% of total)ival-div: 7.0ms (13.3% of total)adjust: 5.0ms (9.5% of total)ival-add: 3.0ms (5.7% of total)ival-sub: 3.0ms (5.7% of total)ival-mult: 3.0ms (5.7% 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 | 43.46717958168685 | 94.74348175679141 |
| 1.0ms | -3382593470070.1377 | -10116766.314305076 |
Compiled 774 to 533 computations (31.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 43.46717958168685 | 94.74348175679141 |
| 1.0ms | -3382593470070.1377 | -10116766.314305076 |
Compiled 774 to 533 computations (31.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 43.46717958168685 | 94.74348175679141 |
| 48.0ms | -6.033887885867246e+140 | -1.2851544095555031e+131 |
| 26.0ms | 89× | 1 | valid |
| 12.0ms | 25× | 2 | valid |
| 4.0ms | 46× | 0 | valid |
Compiled 1 003 to 680 computations (32.2% saved)
ival-pow: 24.0ms (67.4% of total)ival-div: 4.0ms (11.2% of total)adjust: 3.0ms (8.4% of total)ival-mult: 2.0ms (5.6% of total)ival-add: 1.0ms (2.8% of total)ival-sub: 1.0ms (2.8% 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 |
|---|---|---|
| 58.0ms | 2.8309807218633665e-235 | 1.541864312291158e-213 |
| 39.0ms | -4.30914586565419e-148 | -2.7967916480719135e-152 |
| 44.0ms | 130× | 2 | valid |
| 17.0ms | 95× | 1 | valid |
| 9.0ms | 165× | 0 | invalid |
| 6.0ms | 9× | 3 | valid |
| 4.0ms | 70× | 0 | valid |
Compiled 1 130 to 810 computations (28.3% saved)
ival-pow: 33.0ms (50.5% of total)ival-div: 11.0ms (16.8% of total)adjust: 8.0ms (12.3% of total)ival-sub: 5.0ms (7.7% of total)ival-add: 4.0ms (6.1% of total)ival-mult: 4.0ms (6.1% 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 | 2.8309807218633665e-235 | 1.541864312291158e-213 |
| 1.0ms | -4.30914586565419e-148 | -2.7967916480719135e-152 |
Compiled 1 108 to 788 computations (28.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 2.8309807218633665e-235 | 1.541864312291158e-213 |
| 1.0ms | -4.30914586565419e-148 | -2.7967916480719135e-152 |
Compiled 1 241 to 864 computations (30.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 2.8309807218633665e-235 | 1.541864312291158e-213 |
| 1.0ms | -4.30914586565419e-148 | -2.7967916480719135e-152 |
Compiled 1 329 to 908 computations (31.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.8309807218633665e-235 | 1.541864312291158e-213 |
| 1.0ms | -4.30914586565419e-148 | -2.7967916480719135e-152 |
Compiled 1 120 to 794 computations (29.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 2.8309807218633665e-235 | 1.541864312291158e-213 |
| 1.0ms | -4.30914586565419e-148 | -2.7967916480719135e-152 |
| 19.0ms | 66× | 2 | valid |
| 5.0ms | 93× | 0 | invalid |
| 4.0ms | 29× | 1 | valid |
| 2.0ms | 33× | 0 | valid |
Compiled 1 063 to 775 computations (27.1% saved)
ival-pow: 11.0ms (45.8% of total)ival-div: 5.0ms (20.8% of total)adjust: 3.0ms (12.5% of total)ival-add: 2.0ms (8.3% of total)ival-mult: 2.0ms (8.3% of total)ival-sub: 2.0ms (8.3% 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 | 2.8309807218633665e-235 | 1.541864312291158e-213 |
| 1.0ms | -4.30914586565419e-148 | -2.7967916480719135e-152 |
Compiled 1 063 to 756 computations (28.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 6.20711359762193e+49 | 3.2481212932274345e+50 |
| 16.0ms | 75× | 1 | valid |
| 2.0ms | 21× | 0 | valid |
| 1.0ms | 26× | 0 | invalid |
Compiled 348 to 243 computations (30.2% saved)
ival-pow: 8.0ms (53.3% of total)ival-div: 3.0ms (20% of total)adjust: 2.0ms (13.3% of total)ival-add: 1.0ms (6.7% of total)ival-sub: 1.0ms (6.7% of total)ival-mult: 1.0ms (6.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 217 | 1955 |
| 1 | 263 | 1955 |
| 2 | 283 | 1955 |
| 3 | 305 | 1952 |
| 4 | 339 | 1952 |
| 5 | 391 | 1952 |
| 6 | 407 | 1952 |
| 7 | 411 | 1952 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -546812681195753/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) (/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -10000 binary64)) (fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64))))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n) (/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -4763410263543689/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n)) (/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -10000 binary64)) (fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64))))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n) (/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -10000 binary64)) (fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64))))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 n (/.f64 #s(literal 100 binary64) i)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -7547924849643083/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 0 binary64)) (/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i))) #s(literal 100 binary64)) (/.f64 i n)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i)) (/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n))))))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -8655577598126739/17311155196253478792473470072144416162409589179551630037089016513386050438978760195257704640926750732932690575139049592549616764829783999684625661246273604056134014861279398598040994371221141620425498063936264221627122591096883175058256589578798251261609200218857078729474048 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 0 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i)) (/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n))))))) |
(if (<=.f64 n #s(literal -10200000 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))) (if (<=.f64 n #s(literal 44 binary64)) (/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))))) |
(if (<=.f64 n #s(literal -10200000 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) (if (<=.f64 n #s(literal 44 binary64)) (/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))))) |
(if (<=.f64 n #s(literal -10200000 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) (if (<=.f64 n #s(literal 44 binary64)) (/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)))) |
(if (<=.f64 n #s(literal -3299999999999999777849171819251956584699487452601198680988292824513255480441602748092308723415827549262428145930621613613934006581218770944 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) (if (<=.f64 n #s(literal 44 binary64)) (/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.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 n #s(literal 100 binary64)))))) |
(if (<=.f64 n #s(literal -6818193833906105/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) (if (<=.f64 n #s(literal 4548392848537233/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488 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))) (*.f64 (/.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 n #s(literal 100 binary64)))))) |
(if (<=.f64 n #s(literal -6818193833906105/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) (if (<=.f64 n #s(literal 4548392848537233/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488 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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)))) |
(if (<=.f64 n #s(literal -6818193833906105/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) (if (<=.f64 n #s(literal 4548392848537233/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488 binary64)) #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)))) |
(if (<=.f64 n #s(literal -6818193833906105/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))) (if (<=.f64 n #s(literal 4548392848537233/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488 binary64)) #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n))))) |
(if (<=.f64 n #s(literal -6818193833906105/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) (if (<=.f64 n #s(literal 4548392848537233/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488 binary64)) #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)))) |
(if (<=.f64 n #s(literal -6818193833906105/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))) (if (<=.f64 n #s(literal 869410131688397/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712 binary64)) #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))))) |
(if (<=.f64 n #s(literal -6818193833906105/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) (if (<=.f64 n #s(literal 869410131688397/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712 binary64)) #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
(if (<=.f64 i #s(literal 63000000000000000652917513060026709251430868320256 binary64)) #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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -546812681195753/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) (/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -546812681195753/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i) #s(literal 100 binary64)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 i n)) (/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -10000 binary64)) (fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64))))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n) (/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -10000 binary64)) (fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) n)))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n) (/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -4763410263543689/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 #s(literal 100 binary64) n)) (/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -4763410263543689/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i) #s(literal 100 binary64)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) (/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -10000 binary64)) (fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64))))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n) (/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -10000 binary64)) (fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) n)))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) n) (/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -10000 binary64)) (fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64))))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 n (/.f64 #s(literal 100 binary64) i)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -10000 binary64)) (fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) n)))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 #s(literal 100 binary64) #s(approx (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)))))) |
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(if (<=.f64 n #s(literal -6818193833906105/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312 binary64)) (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n)) #s(literal 100 binary64)) (if (<=.f64 n #s(literal 4548392848537233/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488 binary64)) #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) (*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) n)) #s(literal 100 binary64)))) |
(if (<=.f64 n #s(literal -6818193833906105/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)) (if (<=.f64 n #s(literal 4548392848537233/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488 binary64)) #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64))) n)))) |
(if (<=.f64 n #s(literal -6818193833906105/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))) (if (<=.f64 n #s(literal 869410131688397/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712 binary64)) #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 n #s(literal 100 binary64)))))) |
(if (<=.f64 n #s(literal -6818193833906105/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 #s(literal 100 binary64) n))) (if (<=.f64 n #s(literal 869410131688397/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712 binary64)) #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (/ (- (exp i) 1) i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64))) (*.f64 #s(literal 100 binary64) n))))) |
(if (<=.f64 n #s(literal -6818193833906105/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) (if (<=.f64 n #s(literal 869410131688397/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712 binary64)) #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) n)) |
(if (<=.f64 i #s(literal 63000000000000000652917513060026709251430868320256 binary64)) #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))) (*.f64 #s(approx (* (/ (- (exp i) 1) i) 100) #s(approx (+ (* 50 i) 100) (*.f64 #s(literal 50 binary64) i))) n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 279 |
| 0 | 72 | 275 |
| 1 | 283 | 271 |
| 2 | 2077 | 271 |
| 0 | 8565 | 260 |
| 0 | 1008 | 8053 |
| 1 | 3137 | 7370 |
| 0 | 8383 | 6823 |
| 0 | 46 | 281 |
| 0 | 83 | 267 |
| 1 | 331 | 267 |
| 2 | 2598 | 258 |
| 0 | 9712 | 258 |
| 0 | 10 | 44 |
| 0 | 16 | 44 |
| 1 | 73 | 44 |
| 2 | 570 | 44 |
| 3 | 7354 | 44 |
| 0 | 8669 | 38 |
| 0 | 779 | 7297 |
| 1 | 2483 | 6729 |
| 2 | 7741 | 6729 |
| 0 | 8054 | 6223 |
| 0 | 1125 | 9735 |
| 1 | 3625 | 8913 |
| 0 | 8382 | 8206 |
| 0 | 515 | 3778 |
| 1 | 1624 | 3436 |
| 2 | 5511 | 3215 |
| 0 | 8123 | 2937 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 3 754 to 1 313 computations (65% saved)
Compiled 4 014 to 492 computations (87.7% saved)
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