
Time bar (total: 11.0s)
| 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)
| 2.1s | 4 529× | 1 | valid |
| 828.0ms | 1 546× | 2 | valid |
| 509.0ms | 1 974× | 0 | invalid |
| 253.0ms | 2 134× | 0 | valid |
| 42.0ms | 47× | 3 | valid |
| 3.0ms | 25× | 1 | exit |
ival-pow: 1.6s (53.2% of total)ival-div: 755.0ms (25.2% of total)adjust: 205.0ms (6.8% of total)ival-sub: 189.0ms (6.3% of total)ival-mult: 123.0ms (4.1% of total)ival-add: 107.0ms (3.6% 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 |
|---|---|---|---|---|---|
| 189 | 0 | - | 0 | - | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) |
| 65 | 88 | (3.7951417954508034e-236 1.1942479918186802e+268) | 0 | - | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) |
| 48 | 0 | - | 3 | (-9.017097207979854e-31 -1.1241172611452593e+291) | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 0 | 0 | - | 0 | - | n |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (/.f64 i n)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | i |
| 0 | 0 | - | 0 | - | (/.f64 i n) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 0 | 0 | - | 0 | - | #s(literal 100 binary64) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) | cancellation | 189 | 0 |
pow.f64 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | sensitivity | 126 | 0 |
/.f64 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) | n/u | 45 | 0 |
| ↳ | (/.f64 i n) | underflow | 45 | |
pow.f64 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | oflow-rescue | 27 | 0 |
| ↳ | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | overflow | 30 | |
| ↳ | (/.f64 i n) | overflow | 27 | |
| ↳ | (+.f64 #s(literal 1 binary64) (/.f64 i n)) | overflow | 27 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 195 | 0 |
| - | 29 | 32 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 195 | 0 | 0 |
| - | 29 | 0 | 32 |
| number | freq |
|---|---|
| 0 | 32 |
| 1 | 106 |
| 2 | 73 |
| 3 | 45 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 93.0ms | 282× | 1 | valid |
| 72.0ms | 154× | 2 | valid |
| 7.0ms | 76× | 0 | valid |
Compiled 187 to 44 computations (76.5% saved)
ival-pow: 98.0ms (67.5% of total)ival-div: 16.0ms (11% of total)adjust: 12.0ms (8.3% of total)ival-sub: 6.0ms (4.1% of total)ival-mult: 6.0ms (4.1% of total)ival-add: 5.0ms (3.4% 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 | 938 | 77 |
| 4 | 3928 | 77 |
| 5 | 6174 | 77 |
| 0 | 10 | 15 |
| 0 | 16 | 15 |
| 1 | 30 | 15 |
| 2 | 56 | 15 |
| 3 | 104 | 15 |
| 4 | 204 | 15 |
| 5 | 479 | 15 |
| 6 | 814 | 15 |
| 7 | 1303 | 15 |
| 8 | 2234 | 15 |
| 9 | 3144 | 15 |
| 10 | 3602 | 15 |
| 11 | 3746 | 15 |
| 12 | 3756 | 15 |
| 13 | 3757 | 15 |
| 14 | 3757 | 15 |
| 15 | 3777 | 15 |
| 16 | 3785 | 15 |
| 17 | 3785 | 15 |
| 0 | 3785 | 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 |
|---|---|---|
| ▶ | 26.0% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
Compiled 15 to 10 computations (33.3% saved)
| 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 | 204 | 56 |
| 5 | 479 | 56 |
| 6 | 814 | 56 |
| 7 | 1303 | 56 |
| 8 | 2234 | 56 |
| 9 | 3144 | 56 |
| 10 | 3602 | 56 |
| 11 | 3746 | 56 |
| 12 | 3756 | 56 |
| 13 | 3757 | 56 |
| 14 | 3757 | 56 |
| 15 | 3777 | 56 |
| 16 | 3785 | 56 |
| 17 | 3785 | 56 |
| 0 | 3785 | 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 | 0.06640625 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) | |
| accuracy | 11.126011946568566 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) | |
| accuracy | 15.24387512238328 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | |
| accuracy | 43.805502045862596 | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) |
| 74.0ms | 141× | 1 | valid |
| 36.0ms | 77× | 2 | valid |
| 4.0ms | 38× | 0 | valid |
Compiled 114 to 22 computations (80.7% saved)
ival-pow: 45.0ms (53.4% of total)ival-div: 19.0ms (22.6% of total)ival-add: 7.0ms (8.3% of total)adjust: 6.0ms (7.1% of total)ival-sub: 3.0ms (3.6% of total)ival-mult: 3.0ms (3.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.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)) |
| 6.0ms | 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 | 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 | 5565 | 3189 |
| 0 | 8138 | 2913 |
| 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)) |
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(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i)) |
(- (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)))))) |
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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 100 binary64) i) (*.f64 (/.f64 (exp.f64 i) (*.f64 n 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)))) n) (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))))) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 #s(literal -50 binary64) (/.f64 (*.f64 (exp.f64 i) i) n)))) 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) |
(fma.f64 (/.f64 (exp.f64 i) n) (fma.f64 #s(literal -1/2 binary64) (*.f64 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))) 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 (exp.f64 i) n) (fma.f64 #s(literal -1/2 binary64) (*.f64 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))) 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)))) (exp.f64 i)) (pow.f64 n #s(literal 3 binary64)))) (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) (fma.f64 #s(literal -1/2 binary64) (*.f64 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))) n)) (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))))) |
(+.f64 (fma.f64 (/.f64 (exp.f64 i) n) (fma.f64 #s(literal -1/2 binary64) (*.f64 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))) 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)))) (exp.f64 i)) (pow.f64 n #s(literal 3 binary64)))) (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 (/.f64 (exp.f64 i) 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) (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) (/.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) (-.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (/.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) #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) (-.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 (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))) (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) (-.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (/.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 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) (-.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 (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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 44 |
| 0 | 16 | 44 |
| 1 | 73 | 44 |
| 2 | 570 | 44 |
| 3 | 7363 | 44 |
| 0 | 8678 | 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)) |
(/.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) (/.f64 (/.f64 i n) 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 18 430 to 2 123 computations (88.5% saved)
27 alts after pruning (26 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 558 | 26 | 584 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 558 | 27 | 585 |
| Status | Accuracy | Program |
|---|---|---|
| 20.8% | (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))) | |
| 6.4% | (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 3 binary64)) (pow.f64 (/.f64 n i) #s(literal 3 binary64))) #s(literal 100 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)))) | |
| 70.9% | (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) | |
| 62.6% | (*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n)) | |
| ▶ | 70.5% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
| 71.5% | (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n) | |
| 72.1% | (*.f64 (*.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) (neg.f64 n)) | |
| 25.6% | (*.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i) (/.f64 (neg.f64 n) i))) | |
| 21.6% | (*.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))) | |
| ▶ | 21.4% | (*.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))) |
| ✓ | 26.0% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 21.0% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 i n)) (pow.f64 n #s(literal -1 binary64))) (/.f64 (/.f64 i n) n))) | |
| 7.9% | (*.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))) | |
| 17.1% | (*.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))) | |
| 18.6% | (*.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))) | |
| 36.8% | (*.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))) | |
| 38.3% | (*.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))) | |
| 11.9% | (*.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))) | |
| 24.5% | (*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) (/.f64 n i))) | |
| 31.5% | (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 i i)) (*.f64 n n))) | |
| 55.1% | (*.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))) | |
| ▶ | 54.1% | (*.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))) |
| 72.8% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))) | |
| 11.8% | (*.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)))) | |
| ▶ | 78.0% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
| 11.8% | #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))) | |
| ▶ | 52.1% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
Compiled 1 193 to 780 computations (34.6% 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 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) i) | |
| cost-diff | 0 | (*.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))) | |
| cost-diff | 7232 | (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.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 | 352 |
| 0 | 82 | 346 |
| 1 | 160 | 346 |
| 2 | 346 | 334 |
| 3 | 920 | 334 |
| 4 | 2707 | 334 |
| 5 | 7222 | 334 |
| 0 | 8064 | 318 |
| 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)) |
(*.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))) |
#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)) |
(/.f64 #s(literal -1 binary64) i) |
#s(literal -1 binary64) |
i |
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 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) |
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)) |
(*.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))) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n)) |
#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)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n) |
(/.f64 #s(literal -1 binary64) i) |
#s(literal -1 binary64) |
i |
n |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) |
(*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (/.f64 n i)) |
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) |
(/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) i) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) |
(+.f64 (/.f64 i n) #s(literal 1 binary64)) |
(/.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 #s(literal 100 binary64) i) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) 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) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.21830926955964827 | (*.f64 (/.f64 n i) #s(literal 100 binary64)) | |
| accuracy | 6.549308992147445 | (log1p.f64 (/.f64 i n)) | |
| accuracy | 11.091404144644816 | (*.f64 (log1p.f64 (/.f64 i n)) n) | |
| accuracy | 11.796210698907073 | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) | |
| accuracy | 0.0546875 | (*.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))) | |
| accuracy | 0.10546875 | (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) | |
| accuracy | 15.24387512238328 | (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) | |
| accuracy | 37.890543887807276 | (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)) | |
| accuracy | 1.083963259771222 | (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) | |
| accuracy | 3.878380476684539 | (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 | 3.9179838914534493 | (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 | 24.073340136506047 | #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 | 0.0 | (*.f64 #s(literal 100 binary64) n) | |
| accuracy | 27.931940557934713 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) | |
| accuracy | 0.01171875 | (/.f64 (expm1.f64 i) i) | |
| accuracy | 0.05078125 | (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n) | |
| accuracy | 0.09375 | (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) | |
| accuracy | 11.554613114647157 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
| 239.0ms | 133× | 1 | valid |
| 97.0ms | 55× | 2 | valid |
| 19.0ms | 56× | 0 | valid |
| 4.0ms | 11× | 0 | invalid |
| 0.0ms | 1× | 1 | exit |
Compiled 670 to 94 computations (86% saved)
ival-pow: 172.0ms (56.8% of total)adjust: 41.0ms (13.5% of total)ival-mult: 30.0ms (9.9% of total)ival-div: 22.0ms (7.3% of total)ival-add: 12.0ms (4% of total)const: 9.0ms (3% of total)ival-sub: 6.0ms (2% of total)ival-log1p: 4.0ms (1.3% of total)ival-expm1: 4.0ms (1.3% of total)exact: 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)) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)) |
(*.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))) |
(/.f64 #s(literal -1 binary64) i) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) 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) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(*.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 (* -1 n)) i) |
(/ (+ n (+ (* -1 n) (* i n))) i) |
(/ (+ n (+ (* -1 n) (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/ (+ n (+ (* -1 n) (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(* 100 (/ (+ n (* -1 n)) i)) |
(/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i) |
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(/ -1 i) |
(/ 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) |
(* 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)))))) |
(+ 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))))))) |
(* 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) |
(/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i) |
(/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(* 100 (/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i)) |
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(/ (* 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)))))) 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 (+ (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)) |
(* -1 (/ (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i)) |
(* -1 (/ (+ n (+ (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)))) i)) |
(* -1 (/ (+ n (+ (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i)))) i)) |
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(* -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))))) |
(- (+ (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))) |
(+ 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 | |
|---|---|---|---|---|
| 10.0ms | 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)) (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ -1 i) (* (/ (pow (+ (/ i n) 1) n) i) n) (* (* (/ 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) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n)))) |
| 10.0ms | 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)) (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ -1 i) (* (/ (pow (+ (/ i n) 1) n) i) n) (* (* (/ 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) (* (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)) (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ -1 i) (* (/ (pow (+ (/ i n) 1) n) i) n) (* (* (/ 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) (* (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)) (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ -1 i) (* (/ (pow (+ (/ i n) 1) n) i) n) (* (* (/ 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) (* (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)) (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ -1 i) (* (/ (pow (+ (/ i n) 1) n) i) n) (* (* (/ 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) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 984 | 7922 |
| 1 | 3095 | 7236 |
| 0 | 8517 | 6702 |
| 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 (* -1 n)) i) |
(/ (+ n (+ (* -1 n) (* i n))) i) |
(/ (+ n (+ (* -1 n) (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/ (+ n (+ (* -1 n) (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(* 100 (/ (+ n (* -1 n)) i)) |
(/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i) |
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(/ -1 i) |
(/ 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) |
(* 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)))))) |
(+ 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))))))) |
(* 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) |
(/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i) |
(/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(* 100 (/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i)) |
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(/ (* 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)))))) 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 (+ (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))))) |
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(* 1/3 (/ (pow i 2) n)) |
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(/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i) |
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(* -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))))) |
(- (+ (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))) |
(+ 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 (* -1 n)) i) |
(/.f64 #s(literal 0 binary64) i) |
(/ (+ n (+ (* -1 n) (* i n))) i) |
(/.f64 (fma.f64 n i #s(literal 0 binary64)) i) |
(/ (+ n (+ (* -1 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 #s(literal 0 binary64)) i) |
(/ (+ n (+ (* -1 n) (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(/.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 #s(literal 0 binary64)) i) |
(* 100 (/ (+ n (* -1 n)) i)) |
(/.f64 #s(literal 0 binary64) i) |
(/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i) |
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i) |
(/ (+ (* 100 (+ n (* -1 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 (* -1 n))) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(/.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) |
(/ -1 i) |
(/.f64 #s(literal -1 binary64) i) |
(/ 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) |
(* 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) |
(+ 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)) |
(* 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))))) |
(*.f64 (-.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) i)) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) i) n) (/.f64 #s(literal 1/2 binary64) n))) i) |
(/ (* 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)) 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) |
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(+.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (pow.f64 i #s(literal 3 binary64)) n) (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) i)) |
(/ (+ i (* -1/2 (/ (pow i 2) n))) n) |
(/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) i) n) |
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (pow.f64 i #s(literal 3 binary64)) n) (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) i)) n) |
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n) |
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (pow.f64 i #s(literal 3 binary64)) n) (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) i)) n) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 50 binary64) (*.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i))) (neg.f64 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 (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) (exp.f64 i)) i (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (exp.f64 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))) n))) (neg.f64 n))) (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 (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) 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) (/.f64 (exp.f64 i) 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))) (neg.f64 n))) (neg.f64 n))) (neg.f64 n)) |
(* -1 (* n (- (* -1 (* i (+ 1/2 (* 1/6 i)))) 1))) |
(*.f64 (fma.f64 (neg.f64 i) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 n)) |
(* -1 (* n (- (+ (* -1 (* i (+ 1/2 (* 1/6 i)))) (/ (* i (+ 1/2 (* 1/2 i))) n)) 1))) |
(*.f64 (fma.f64 (neg.f64 i) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) (fma.f64 i (/.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64)) n) #s(literal -1 binary64))) (neg.f64 n)) |
(* -1 (* n (- (+ (* -1 (* i (+ 1/2 (* 1/6 i)))) (* -1 (/ (+ (* -1 (* i (+ 1/2 (* 1/2 i)))) (* 1/3 (/ (pow i 2) n))) n))) 1))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (fma.f64 (neg.f64 i) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))) n)) #s(literal -1 binary64)) (neg.f64 n)) |
(+ 1/2 (+ (* -1 (/ (+ 1/2 (* 1/2 i)) n)) (* 1/6 i))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64)) n) #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/3 (/ i n)) (* 1/2 i))) n)) (* 1/6 i))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 i n) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/2 binary64))) n) #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) |
(* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (/.f64 (expm1.f64 i) (neg.f64 i))) (neg.f64 n)) |
(* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i))))) |
(*.f64 (-.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 (expm1.f64 i) i)) (neg.f64 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 (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 (expm1.f64 i) i)) (neg.f64 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))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) i) (/.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)) (neg.f64 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 i))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) i) (/.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)) (neg.f64 n)) |
(* -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 #s(literal 1 binary64) i) (/.f64 (exp.f64 i) i)) #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 50 binary64))) (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 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (exp.f64 i) i)) #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) (exp.f64 i)) i (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (exp.f64 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))) n))) (neg.f64 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 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (exp.f64 i) i)) #s(literal 100 binary64) (/.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) (/.f64 (exp.f64 i) 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))) (neg.f64 n))) (neg.f64 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 (-.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)) (neg.f64 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))))) |
(*.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)) (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) |
(+.f64 (/.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))) (neg.f64 n)) (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 (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))) (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 (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)) |
(+ 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 | 279 |
| 0 | 82 | 273 |
| 1 | 331 | 261 |
| 2 | 2657 | 253 |
| 0 | 9845 | 253 |
| 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)) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)) |
(*.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))) |
(/.f64 #s(literal -1 binary64) i) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) 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) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(*.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 #s(literal 1 binary64) (*.f64 n #s(literal 100 binary64)))) (neg.f64 (/.f64 i (expm1.f64 i)))) |
(/.f64 (neg.f64 (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64)))) (neg.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)) (/.f64 #s(literal -1 binary64) i)) |
(*.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 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) (/.f64 #s(literal -1 binary64) i))))) |
(/.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 (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 #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 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)) (/.f64 #s(literal -1 binary64) i)) |
(-.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 #s(literal 0 binary64) (neg.f64 i)) (/.f64 (expm1.f64 i) (neg.f64 i))) |
(-.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 (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) (/.f64 #s(literal -1 binary64) i)) |
#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) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 n i)) #s(literal 2 binary64)) (*.f64 n n)) (pow.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 n i) (neg.f64 n)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 n i)) #s(literal 3 binary64))) (pow.f64 (fma.f64 n (-.f64 n (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 n i))) (pow.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 n i)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 n i) (neg.f64 n)) (-.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 n i)) #s(literal 2 binary64)) (*.f64 n n))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 n (-.f64 n (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 n i))) (pow.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 n i)) #s(literal 2 binary64))) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 n i)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (+.f64 n (*.f64 (*.f64 (*.f64 n i) i) (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i) #s(literal 3 binary64))) (fma.f64 (+.f64 n (*.f64 (*.f64 (*.f64 n i) i) (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)))) (+.f64 n (*.f64 (*.f64 (*.f64 n i) i) (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)))) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i) #s(literal 2 binary64)) (*.f64 (+.f64 n (*.f64 (*.f64 (*.f64 n i) i) (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i))))) |
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(exp.f64 (*.f64 (log.f64 (exp.f64 n)) (log1p.f64 (/.f64 i n)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 n #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(*.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 (/.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 (-.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 (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))))) |
(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))))) |
(-.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 #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 -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 (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 (-.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 (neg.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)))) (log1p.f64 (/.f64 (neg.f64 i) n))) |
(-.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 (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 #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 (-.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 (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 #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 (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 (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 (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)))) |
(+.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)))) |
(log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64))) |
Compiled 37 437 to 4 432 computations (88.2% saved)
35 alts after pruning (33 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 056 | 28 | 1 084 |
| Fresh | 16 | 5 | 21 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 076 | 35 | 1 111 |
| Status | Accuracy | Program |
|---|---|---|
| 21.7% | (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) | |
| 21.2% | (fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64))) | |
| ▶ | 21.0% | (fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64))) |
| 72.1% | (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n) | |
| 71.7% | (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64))) | |
| 62.6% | (*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n)) | |
| ▶ | 25.5% | (*.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))) |
| 11.9% | (*.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))) | |
| 59.5% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) | |
| 72.1% | (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n) | |
| 21.6% | (*.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))) | |
| 21.3% | (*.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) n) i))) | |
| 14.5% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx (* (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i)))) | |
| 14.6% | (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) i (*.f64 i (neg.f64 n))) (*.f64 i i))) | |
| 16.0% | (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n))) (*.f64 i i))) | |
| 26.0% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i)) | |
| 11.9% | (*.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))) | |
| 25.5% | (*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.f64 n i))) | |
| 55.1% | (*.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))) | |
| 47.8% | (*.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))) | |
| 39.6% | (*.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)))) | |
| 6.1% | (*.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))))) | |
| 52.5% | (*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (/.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i #s(literal 0 binary64)) i))) | |
| 72.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)) | |
| ✓ | 78.0% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
| 11.8% | #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))) | |
| ▶ | 77.1% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n)) |
| 59.3% | #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)) | |
| 58.2% | #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)) | |
| 55.3% | #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)) | |
| ✓ | 52.1% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
| ▶ | 59.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) 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))))) |
| 58.2% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64))))) | |
| 50.3% | #s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i)) | |
| ▶ | 19.0% | #s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i)) |
Compiled 1 773 to 1 181 computations (33.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)) | |
| cost-diff | 0 | (*.f64 n #s(literal 100 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) i) | |
| cost-diff | 1344 | (fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64))) | |
| cost-diff | 0 | (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 n i) | |
| cost-diff | 0 | (*.f64 (/.f64 n i) #s(literal 100 binary64)) | |
| cost-diff | 128 | (*.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))) | |
| cost-diff | 0 | #s(approx (* (* (/ (- (exp i) 1) i) 100) 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)))) | |
| cost-diff | 0 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) 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))))) | |
| cost-diff | 320 | (fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) | |
| cost-diff | 320 | (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))) | |
| cost-diff | 0 | #s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i)) | |
| cost-diff | 704 | (/.f64 #s(literal 0 binary64) i) | |
| cost-diff | 0 | (expm1.f64 i) | |
| cost-diff | 0 | (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) | |
| cost-diff | 0 | (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n) | |
| cost-diff | 0 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 313 |
| 0 | 81 | 302 |
| 1 | 159 | 296 |
| 2 | 314 | 296 |
| 3 | 626 | 293 |
| 4 | 1045 | 293 |
| 5 | 1810 | 293 |
| 6 | 2639 | 293 |
| 7 | 4283 | 293 |
| 8 | 5110 | 293 |
| 9 | 6383 | 293 |
| 10 | 7951 | 293 |
| 0 | 8010 | 281 |
| 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) (/.f64 #s(literal 100 binary64) i)) n)) |
(*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n) |
(*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) |
(expm1.f64 i) |
i |
(/.f64 #s(literal 100 binary64) i) |
#s(literal 100 binary64) |
n |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i)) |
(/.f64 #s(literal 0 binary64) i) |
#s(literal 0 binary64) |
i |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) 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))))) |
#s(approx (* (* (/ (- (exp i) 1) i) 100) 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)))) |
(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))) |
(fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) |
(*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) |
n |
(fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) |
#s(literal 25/6 binary64) |
i |
#s(literal 50/3 binary64) |
(*.f64 #s(literal 50 binary64) n) |
#s(literal 50 binary64) |
(*.f64 n #s(literal 100 binary64)) |
#s(literal 100 binary64) |
(*.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 (/.f64 n i) #s(literal 100 binary64)) |
(/.f64 n i) |
n |
i |
#s(literal 100 binary64) |
(-.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) |
(+.f64 (/.f64 i n) #s(literal 1 binary64)) |
(/.f64 i n) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64))) |
(/.f64 #s(literal -1 binary64) i) |
#s(literal -1 binary64) |
i |
(*.f64 n #s(literal 100 binary64)) |
n |
#s(literal 100 binary64) |
(*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)) |
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(+.f64 (/.f64 i n) #s(literal 1 binary64)) |
(/.f64 i n) |
#s(literal 1 binary64) |
(/.f64 n i) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (*.f64 (*.f64 (expm1.f64 i) n) (/.f64 #s(literal 100 binary64) i))) |
(*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n) |
(*.f64 (*.f64 (expm1.f64 i) n) (/.f64 #s(literal 100 binary64) i)) |
(*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) |
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) |
(expm1.f64 i) |
i |
(/.f64 #s(literal 100 binary64) i) |
#s(literal 100 binary64) |
n |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(literal 0 binary64)) |
(/.f64 #s(literal 0 binary64) i) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
i |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) 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))))) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (*.f64 (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 (* (* (/ (- (exp i) 1) i) 100) 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)))) |
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) (*.f64 (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)) |
(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))) |
(*.f64 (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) |
(fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) n) |
(*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) |
(*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) n) |
n |
(fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) |
#s(literal 25/6 binary64) |
i |
#s(literal 50/3 binary64) |
(*.f64 #s(literal 50 binary64) n) |
#s(literal 50 binary64) |
(*.f64 n #s(literal 100 binary64)) |
#s(literal 100 binary64) |
(*.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 (/.f64 (fma.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(*.f64 (/.f64 n i) #s(literal 100 binary64)) |
(/.f64 n i) |
n |
i |
#s(literal 100 binary64) |
(-.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)) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) |
(+.f64 (/.f64 i n) #s(literal 1 binary64)) |
(-.f64 (/.f64 i n) #s(literal -1 binary64)) |
(/.f64 i n) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64))) |
(*.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) |
(/.f64 #s(literal -1 binary64) i) |
#s(literal -1 binary64) |
i |
(*.f64 n #s(literal 100 binary64)) |
n |
#s(literal 100 binary64) |
(*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 100 binary64)) 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) (/.f64 n i)) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) |
(+.f64 (/.f64 i n) #s(literal 1 binary64)) |
(-.f64 (/.f64 i n) #s(literal -1 binary64)) |
(/.f64 i n) |
#s(literal 1 binary64) |
(/.f64 n i) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) | |
| accuracy | 0.18315301955964827 | (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)) | |
| accuracy | 15.24387512238328 | (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) | |
| accuracy | 38.2664828544992 | (fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64))) | |
| accuracy | 0.23784051955964827 | (*.f64 (/.f64 n i) #s(literal 100 binary64)) | |
| accuracy | 11.796210698907073 | (*.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))) | |
| accuracy | 15.24387512238328 | (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) | |
| accuracy | 43.56961852942003 | (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) | |
| accuracy | 0.3085916858302058 | (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))) | |
| accuracy | 0.36328125 | (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) | |
| accuracy | 14.032735446946244 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) 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))))) | |
| accuracy | 16.04216769145111 | #s(approx (* (* (/ (- (exp i) 1) i) 100) 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)))) | |
| accuracy | 0.0 | (/.f64 #s(literal 0 binary64) i) | |
| accuracy | 51.61668202234171 | #s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i)) | |
| accuracy | 0.0 | (expm1.f64 i) | |
| accuracy | 0.05078125 | (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n) | |
| accuracy | 0.5858650348343775 | (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) | |
| accuracy | 14.032735446946244 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n)) |
| 145.0ms | 139× | 1 | valid |
| 101.0ms | 80× | 2 | valid |
| 13.0ms | 36× | 0 | valid |
| 0.0ms | 1× | 1 | exit |
Compiled 592 to 107 computations (81.9% saved)
ival-pow: 84.0ms (38% of total)ival-mult: 46.0ms (20.8% of total)ival-div: 36.0ms (16.3% of total)adjust: 22.0ms (9.9% of total)ival-add: 16.0ms (7.2% of total)const: 10.0ms (4.5% of total)ival-sub: 5.0ms (2.3% of total)ival-expm1: 2.0ms (0.9% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n)) |
(*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n) |
(*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) |
(expm1.f64 i) |
(/.f64 #s(literal 0 binary64) i) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i)) |
(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))) |
(fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) 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))))) |
#s(approx (* (* (/ (- (exp i) 1) i) 100) 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)))) |
(*.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 (/.f64 n i) #s(literal 100 binary64)) |
(/.f64 n i) |
(-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64))) |
(/.f64 #s(literal -1 binary64) i) |
(*.f64 n #s(literal 100 binary64)) |
(*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)) |
(*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.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)))))) |
100 |
(+ 100 (* 50 i)) |
(+ 100 (* i (+ 50 (* 50/3 i)))) |
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 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))))))) |
0 |
(* 100 (/ (+ n (* -1 n)) i)) |
(/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i) |
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(* 50 n) |
(+ (* 50/3 (* i n)) (* 50 n)) |
(+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n)))) |
(* 100 (/ n i)) |
(/ 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)))))) |
(/ (+ (* -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) |
(/ -1 i) |
(/ (+ (* 100 n) (* 100 (* i n))) i) |
(/ (+ (* 100 n) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/ (+ (* 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) |
(* 50/3 n) |
(+ (* 25/6 (* i n)) (* 50/3 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 (* 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) |
(* 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) |
(* 100 (/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i)) |
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(* 25/6 (* (pow i 3) n)) |
(* (pow i 3) (+ (* 25/6 n) (* 50/3 (/ n i)))) |
(* (pow i 3) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2)))))) |
(* (pow i 3) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (+ (* 50 (/ n (pow i 2))) (* 100 (/ n (pow i 3))))))) |
(* 25/6 (* (pow i 2) n)) |
(* (pow i 2) (+ (* 25/6 n) (* 50/3 (/ n i)))) |
(* (pow i 2) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2)))))) |
(- (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) |
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(exp i) |
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(/ (* 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))))))) |
(* -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))))) |
(* -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 (- (* i (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)) 100))) |
(* -1 (* n (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50))) |
(- (+ (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)))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (* 50 (/ (* i (exp i)) n))))) |
(* -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))))) |
(* -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))))) |
(+ (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)) (* 1/2 (/ (* 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))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | i | @ | inf | ((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (- (exp i) 1) (/ 100 i)) n) (* (- (exp i) 1) (/ 100 i)) (- (exp i) 1) (/ 0 i) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (* (/ n i) 100) (- (pow (+ (/ i n) 1) n) 1)) (* (/ n i) 100) (/ n i) (- (pow (+ (/ i n) 1) n) 1) (+ (* (/ -1 i) (* n 100)) (* (* (pow (+ (/ i n) 1) n) (/ n i)) 100)) (/ -1 i) (* n 100) (* (* (pow (+ (/ i n) 1) n) (/ n i)) 100) (* n (+ (* 25/6 i) 50/3)) (pow (+ (/ i n) 1) n) (* (pow (+ (/ i n) 1) n) (/ n i))) |
| 4.0ms | i | @ | -inf | ((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (- (exp i) 1) (/ 100 i)) n) (* (- (exp i) 1) (/ 100 i)) (- (exp i) 1) (/ 0 i) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (* (/ n i) 100) (- (pow (+ (/ i n) 1) n) 1)) (* (/ n i) 100) (/ n i) (- (pow (+ (/ i n) 1) n) 1) (+ (* (/ -1 i) (* n 100)) (* (* (pow (+ (/ i n) 1) n) (/ n i)) 100)) (/ -1 i) (* n 100) (* (* (pow (+ (/ i n) 1) n) (/ n i)) 100) (* n (+ (* 25/6 i) 50/3)) (pow (+ (/ i n) 1) n) (* (pow (+ (/ i n) 1) n) (/ n i))) |
| 4.0ms | n | @ | -inf | ((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (- (exp i) 1) (/ 100 i)) n) (* (- (exp i) 1) (/ 100 i)) (- (exp i) 1) (/ 0 i) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (* (/ n i) 100) (- (pow (+ (/ i n) 1) n) 1)) (* (/ n i) 100) (/ n i) (- (pow (+ (/ i n) 1) n) 1) (+ (* (/ -1 i) (* n 100)) (* (* (pow (+ (/ i n) 1) n) (/ n i)) 100)) (/ -1 i) (* n 100) (* (* (pow (+ (/ i n) 1) n) (/ n i)) 100) (* n (+ (* 25/6 i) 50/3)) (pow (+ (/ i n) 1) n) (* (pow (+ (/ i n) 1) n) (/ n i))) |
| 4.0ms | n | @ | inf | ((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (- (exp i) 1) (/ 100 i)) n) (* (- (exp i) 1) (/ 100 i)) (- (exp i) 1) (/ 0 i) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (* (/ n i) 100) (- (pow (+ (/ i n) 1) n) 1)) (* (/ n i) 100) (/ n i) (- (pow (+ (/ i n) 1) n) 1) (+ (* (/ -1 i) (* n 100)) (* (* (pow (+ (/ i n) 1) n) (/ n i)) 100)) (/ -1 i) (* n 100) (* (* (pow (+ (/ i n) 1) n) (/ n i)) 100) (* n (+ (* 25/6 i) 50/3)) (pow (+ (/ i n) 1) n) (* (pow (+ (/ i n) 1) n) (/ n i))) |
| 3.0ms | n | @ | 0 | ((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (- (exp i) 1) (/ 100 i)) n) (* (- (exp i) 1) (/ 100 i)) (- (exp i) 1) (/ 0 i) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (* (/ n i) 100) (- (pow (+ (/ i n) 1) n) 1)) (* (/ n i) 100) (/ n i) (- (pow (+ (/ i n) 1) n) 1) (+ (* (/ -1 i) (* n 100)) (* (* (pow (+ (/ i n) 1) n) (/ n i)) 100)) (/ -1 i) (* n 100) (* (* (pow (+ (/ i n) 1) n) (/ n i)) 100) (* n (+ (* 25/6 i) 50/3)) (pow (+ (/ i n) 1) n) (* (pow (+ (/ i n) 1) n) (/ n i))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 813 | 6981 |
| 1 | 2605 | 6352 |
| 0 | 8394 | 5880 |
| 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)))))) |
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))))))) |
0 |
(* 100 (/ (+ n (* -1 n)) i)) |
(/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i) |
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(* 50 n) |
(+ (* 50/3 (* i n)) (* 50 n)) |
(+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n)))) |
(* 100 (/ n i)) |
(/ 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)))))) |
(/ (+ (* -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) |
(/ -1 i) |
(/ (+ (* 100 n) (* 100 (* i n))) i) |
(/ (+ (* 100 n) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/ (+ (* 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) |
(* 50/3 n) |
(+ (* 25/6 (* i n)) (* 50/3 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 (* 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) |
(* 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) |
(* 100 (/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i)) |
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(* 25/6 (* (pow i 3) n)) |
(* (pow i 3) (+ (* 25/6 n) (* 50/3 (/ n i)))) |
(* (pow i 3) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2)))))) |
(* (pow i 3) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (+ (* 50 (/ n (pow i 2))) (* 100 (/ n (pow i 3))))))) |
(* 25/6 (* (pow i 2) n)) |
(* (pow i 2) (+ (* 25/6 n) (* 50/3 (/ n i)))) |
(* (pow i 2) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2)))))) |
(- (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) |
(* 100 (/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) |
(/ (+ (* 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 (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 (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) |
(* 25/6 (* i n)) |
(* i (+ (* 25/6 n) (* 50/3 (/ n 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)))) |
(/ (* 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) |
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)) |
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(/ (* n (exp i)) i) |
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(* -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))))) |
| 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) 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 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i) 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 (-.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) 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)))))) |
(*.f64 (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) |
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)) |
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) |
0 |
#s(literal 0 binary64) |
(* 100 (/ (+ n (* -1 n)) i)) |
(/.f64 #s(literal 0 binary64) i) |
(/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i)) |
(/ (+ (* 100 (+ n (* -1 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) n n) #s(literal 0 binary64)) i) |
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(/.f64 (fma.f64 (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (*.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) 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) |
(* 50 n) |
(*.f64 #s(literal 50 binary64) n) |
(+ (* 50/3 (* i n)) (* 50 n)) |
(*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) |
(+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) n) |
(* 100 (/ n i)) |
(*.f64 (/.f64 #s(literal 100 binary64) i) n) |
(/ n i) |
(/.f64 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) |
(/ (+ (* -100 n) (* 100 n)) i) |
(/.f64 #s(literal 0 binary64) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* 100 (* i n)))) i) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i #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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) 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 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i) 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) |
(/ -1 i) |
(/.f64 #s(literal -1 binary64) i) |
(/ (+ (* 100 n) (* 100 (* i n))) i) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i n) i)) |
(/ (+ (* 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) n n) (*.f64 n #s(literal 100 binary64))) i) |
(/ (+ (* 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 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i) n (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 n #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64))) i) |
(* 50/3 n) |
(*.f64 #s(literal 50/3 binary64) n) |
(+ (* 25/6 (* i n)) (* 50/3 n)) |
(*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) n) |
1 |
#s(literal 1 binary64) |
(+ 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 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) 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 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i) n (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n) i 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 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) 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 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 n i)) (/.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) (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) 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 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) 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 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) 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) |
(* 100 (/ (- (exp i) 1) i)) |
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) |
(- (exp i) 1) |
(expm1.f64 i) |
(* 100 (/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i)) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 n i)) #s(literal 100 binary64)) |
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 (pow.f64 n #s(literal 3 binary64)) i))) i)) |
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 n i)) (/.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) (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 (pow.f64 n #s(literal 3 binary64)) i))))) i) |
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(/.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 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) 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 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (/.f64 (pow.f64 n #s(literal 3 binary64)) i))))) i) |
(* 25/6 (* (pow i 3) n)) |
(*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64)) |
(* (pow i 3) (+ (* 25/6 n) (* 50/3 (/ n i)))) |
(*.f64 (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n)) (pow.f64 i #s(literal 3 binary64))) |
(* (pow i 3) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 n i) i) #s(literal 50 binary64) (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n))) (pow.f64 i #s(literal 3 binary64))) |
(* (pow i 3) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (+ (* 50 (/ n (pow i 2))) (* 100 (/ n (pow i 3))))))) |
(*.f64 (fma.f64 #s(literal 25/6 binary64) n (fma.f64 (/.f64 n (pow.f64 i #s(literal 3 binary64))) #s(literal 100 binary64) (fma.f64 (/.f64 (/.f64 n i) i) #s(literal 50 binary64) (*.f64 (/.f64 n i) #s(literal 50/3 binary64))))) (pow.f64 i #s(literal 3 binary64))) |
(* 25/6 (* (pow i 2) n)) |
(*.f64 (*.f64 (*.f64 i i) #s(literal 25/6 binary64)) n) |
(* (pow i 2) (+ (* 25/6 n) (* 50/3 (/ n i)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n)) i) i) |
(* (pow i 2) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2)))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 n i) i) #s(literal 50 binary64) (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) 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 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) 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) |
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(- (+ (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) |
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(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)) |
(*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) |
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(* (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)))))))) |
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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))))))))))) |
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(* 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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(* (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))))))))))) |
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(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))) |
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(* n (+ (log i) (* -1 (log n)))) |
(*.f64 (-.f64 (log.f64 i) (log.f64 n)) n) |
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(* 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))))))) |
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(* 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))))))) |
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(* n (+ (* 100 (* n (+ (* -1 (/ (log n) i)) (/ (log i) i)))) (* 100 (/ 1 i)))) |
(*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i)) n (/.f64 #s(literal 1 binary64) i))) n) |
(* n (+ (* n (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))))) (* 100 (/ 1 i)))) |
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(* n (+ (* n (+ (* 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)))))))) (* 100 (/ 1 i)))) |
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(* n (+ 50/3 (* 25/6 i))) |
(*.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) n) |
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(* n (+ (* n (+ (* -1 (/ (log n) i)) (/ (log i) i))) (/ 1 i))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i)) n (/.f64 #s(literal 1 binary64) i)) n) |
(* 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 (+ (* 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))) |
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(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) |
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(* 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))))) |
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(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))) |
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(* 100 (* n (- (/ (exp i) i) (/ 1 i)))) |
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(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (- (/ (exp i) i) (/ 1 i))))) |
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(*.f64 (fma.f64 (/.f64 (exp.f64 i) i) #s(literal -100 binary64) (/.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))) (neg.f64 n))) (neg.f64 n)) |
(* -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))))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 i) i) #s(literal -100 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) (exp.f64 i)) i (/.f64 (fma.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) (*.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))) (neg.f64 n))) (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 #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)) (* 1/2 (/ (* 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 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (exp.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))) i) (/.f64 (exp.f64 i) n))) (neg.f64 n)) (/.f64 (exp.f64 i) i)) (neg.f64 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))))) |
(*.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)) (neg.f64 n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 254 |
| 0 | 81 | 243 |
| 1 | 329 | 237 |
| 2 | 2361 | 237 |
| 0 | 8474 | 221 |
| 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) (/.f64 #s(literal 100 binary64) i)) n)) |
(*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n) |
(*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) |
(expm1.f64 i) |
(/.f64 #s(literal 0 binary64) i) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i)) |
(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))) |
(fma.f64 (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) i (*.f64 #s(literal 50 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) 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))))) |
#s(approx (* (* (/ (- (exp i) 1) i) 100) 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)))) |
(*.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 (/.f64 n i) #s(literal 100 binary64)) |
(/.f64 n i) |
(-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64))) |
(/.f64 #s(literal -1 binary64) i) |
(*.f64 n #s(literal 100 binary64)) |
(*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64)) |
(*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.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 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)) |
(*.f64 (*.f64 n (/.f64 (expm1.f64 i) i)) #s(literal 100 binary64)) |
(*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 i)) |
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 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 #s(literal 100 binary64) i) (*.f64 (expm1.f64 i) n)) |
(*.f64 (expm1.f64 i) (*.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 n #s(literal 100 binary64)))) |
(*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) #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 (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 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n)) (neg.f64 i)) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 2 binary64))) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) (neg.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))) |
(/.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 (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 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i) |
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 2 binary64))) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (+.f64 (exp.f64 i) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64)))) |
(/.f64 (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64))) 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 (/.f64 #s(literal 100 binary64) i) (expm1.f64 i)) |
(*.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) (expm1.f64 i))) (neg.f64 (neg.f64 i))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 i))) (neg.f64 (*.f64 i #s(literal 1/100 binary64)))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 2 binary64))) (/.f64 #s(literal 100 binary64) i))) (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 100 binary64) i))) (neg.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) (expm1.f64 (*.f64 i #s(literal 2 binary64))))) (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) (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 (neg.f64 (*.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 (neg.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 i #s(literal 2 binary64))))) (neg.f64 (*.f64 (neg.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 i #s(literal 3 binary64))))) (neg.f64 (*.f64 (neg.f64 i) (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 i #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 i #s(literal 1/100 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 i #s(literal 3 binary64))))) (neg.f64 (*.f64 (*.f64 i #s(literal 1/100 binary64)) (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 i #s(literal 2 binary64))))) (neg.f64 (*.f64 i (+.f64 (exp.f64 i) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (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 (neg.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 2 binary64))) #s(literal -100 binary64))) (neg.f64 (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (neg.f64 i)))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal -100 binary64))) (neg.f64 (*.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (neg.f64 i)))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 2 binary64))) #s(literal 100 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 100 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 (expm1.f64 i) #s(literal 1 binary64))) (neg.f64 (*.f64 i #s(literal 1/100 binary64)))) |
(/.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)) (*.f64 i #s(literal 1/100 binary64))))) |
(/.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))) (*.f64 i #s(literal 1/100 binary64))))) |
(/.f64 (*.f64 (neg.f64 (expm1.f64 i)) #s(literal 100 binary64)) (neg.f64 i)) |
(/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) (neg.f64 i)) |
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 i)) (*.f64 i #s(literal 1/100 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 2 binary64))) (/.f64 #s(literal 100 binary64) i)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 100 binary64) i)) (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) (expm1.f64 (*.f64 i #s(literal 2 binary64)))) (+.f64 (exp.f64 i) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) (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 (*.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 (*.f64 (expm1.f64 i) #s(literal 1 binary64)) (*.f64 i #s(literal 1/100 binary64))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64))) (neg.f64 i)) |
(/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 i #s(literal 2 binary64)))) (*.f64 (neg.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (*.f64 (neg.f64 i) (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 i #s(literal 2 binary64)))) (*.f64 (*.f64 i #s(literal 1/100 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (*.f64 (*.f64 i #s(literal 1/100 binary64)) (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 i #s(literal 2 binary64)))) (*.f64 i (+.f64 (exp.f64 i) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 100 binary64) (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 (*.f64 (expm1.f64 (*.f64 i #s(literal 2 binary64))) #s(literal -100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (neg.f64 i))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 2 binary64))) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal -100 binary64)) (*.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (neg.f64 i))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 100 binary64)) (*.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (*.f64 i #s(literal 1/100 binary64)))) |
(/.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))) (*.f64 i #s(literal 1/100 binary64)))) |
(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) |
(/.f64 (neg.f64 (expm1.f64 i)) (neg.f64 (*.f64 i #s(literal 1/100 binary64)))) |
(/.f64 #s(literal -100 binary64) (neg.f64 (/.f64 i (expm1.f64 i)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))))) |
(/.f64 (expm1.f64 i) (*.f64 i #s(literal 1/100 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))) |
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(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) (/.f64 n i)) |
(*.f64 (*.f64 (/.f64 n i) (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 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 i)) (neg.f64 n)) |
(*.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) i) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) (pow.f64 i #s(literal -1 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)) (/.f64 i n))) |
(*.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)) (/.f64 n i))) |
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) |
(*.f64 (/.f64 n i) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) |
(*.f64 n (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)) |
(pow.f64 (/.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 i n) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 n) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (neg.f64 (neg.f64 i))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n)) (neg.f64 (neg.f64 i))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n))) (neg.f64 (neg.f64 i))) |
(/.f64 (neg.f64 (*.f64 n (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (neg.f64 (neg.f64 i))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n))) (neg.f64 (neg.f64 i))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) n)) (neg.f64 (/.f64 i (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) |
(/.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) (neg.f64 (/.f64 i (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) |
(/.f64 (*.f64 (neg.f64 n) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (neg.f64 i)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) (neg.f64 i)) |
(/.f64 (*.f64 #s(literal 1 binary64) n) (/.f64 i (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) |
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n)) (neg.f64 i)) |
(/.f64 (*.f64 n (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (neg.f64 i)) |
(/.f64 (*.f64 n #s(literal 1 binary64)) (/.f64 i (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) |
(/.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i)) (neg.f64 (pow.f64 n #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n)) (neg.f64 i)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 i n)) |
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) i) |
(/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (neg.f64 i) n)) |
(/.f64 (neg.f64 n) (neg.f64 (/.f64 i (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) |
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)) |
(/.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (pow.f64 n #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 i n) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) |
(/.f64 n (/.f64 i (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 i) n)) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 (neg.f64 i) n))) |
Compiled 30 371 to 3 162 computations (89.6% saved)
46 alts after pruning (43 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 796 | 18 | 814 |
| Fresh | 3 | 25 | 28 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 803 | 46 | 849 |
| Status | Accuracy | Program |
|---|---|---|
| 21.7% | (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) | |
| 20.9% | (fma.f64 (/.f64 n i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal -100 binary64) n) i)) | |
| 21.2% | (fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 n #s(literal 100 binary64))) i)) | |
| 14.2% | (fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) (/.f64 n i)) #s(literal 100 binary64))) | |
| 72.1% | (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n) | |
| 25.5% | (*.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) | |
| 71.7% | (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64))) | |
| 15.5% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (-.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64))) | |
| 11.9% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (pow (+ (/ i n) 1) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) | |
| 59.5% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) | |
| 25.5% | (*.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) n) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) | |
| 72.1% | (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n) | |
| 21.6% | (*.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))) | |
| ▶ | 21.3% | (*.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) n) i))) |
| 14.5% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx (* (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i)))) | |
| 14.6% | (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) i (*.f64 i (neg.f64 n))) (*.f64 i i))) | |
| 16.0% | (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n))) (*.f64 i i))) | |
| 26.0% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i)) | |
| 11.9% | (*.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))) | |
| 25.5% | (*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.f64 n i))) | |
| 55.1% | (*.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))) | |
| 47.8% | (*.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))) | |
| 39.6% | (*.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)))) | |
| 6.1% | (*.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))))) | |
| 52.5% | (*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (/.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i #s(literal 0 binary64)) i))) | |
| ▶ | 72.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)) |
| ✓ | 78.0% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
| 11.8% | #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))) | |
| ✓ | 77.1% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n)) |
| 59.3% | #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)) | |
| 58.2% | #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)) | |
| 55.3% | #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)) | |
| ✓ | 52.1% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
| 59.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) (*.f64 n i) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64))))) | |
| 41.0% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 #s(approx (* n (+ (* 25/6 i) 50/3)) (*.f64 (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n)) i)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64))))) | |
| 59.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64))))) | |
| 58.2% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64))))) | |
| 58.9% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 (*.f64 (*.f64 i i) #s(literal 25/6 binary64)) n)) i (*.f64 n #s(literal 100 binary64))))) | |
| 55.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64))))) | |
| ▶ | 59.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)))) |
| 13.7% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n)) (pow.f64 i #s(literal 3 binary64)))))) | |
| ▶ | 14.0% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64))))) |
| 12.2% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (/.f64 (fma.f64 (/.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 50/3 binary64) n)) (neg.f64 i)))) (pow.f64 i #s(literal 3 binary64)))))) | |
| 13.7% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (*.f64 #s(literal -50/3 binary64) (/.f64 n i)))) (pow.f64 i #s(literal 3 binary64)))))) | |
| ▶ | 19.0% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) |
| 50.3% | #s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i)) |
Compiled 2 773 to 1 827 computations (34.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) i) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) i) | |
| cost-diff | 128 | (*.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) n) i))) | |
| cost-diff | 896 | (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) i)) | |
| cost-diff | 0 | (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64))) | |
| cost-diff | 0 | #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64)))) | |
| cost-diff | 0 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64))))) | |
| cost-diff | 0 | (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i) | |
| cost-diff | 0 | #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))) | |
| cost-diff | 0 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)))) | |
| cost-diff | 320 | (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)) | |
| cost-diff | 0 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) | |
| cost-diff | 0 | (*.f64 (expm1.f64 i) #s(literal 100 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i) | |
| cost-diff | 0 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 386 |
| 0 | 80 | 374 |
| 1 | 156 | 368 |
| 2 | 310 | 362 |
| 3 | 652 | 362 |
| 4 | 1023 | 362 |
| 5 | 1789 | 362 |
| 6 | 2428 | 362 |
| 7 | 3634 | 362 |
| 8 | 4814 | 362 |
| 9 | 6448 | 362 |
| 0 | 8467 | 351 |
| 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) #s(literal 100 binary64)) n) i)) |
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i) |
(*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) |
(*.f64 (expm1.f64 i) #s(literal 100 binary64)) |
(expm1.f64 i) |
i |
#s(literal 100 binary64) |
n |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)))) |
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))) |
(fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)) |
n |
#s(literal 100 binary64) |
(*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i) |
(*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) |
(fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) |
(fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) |
#s(literal 25/6 binary64) |
i |
#s(literal 50/3 binary64) |
#s(literal 50 binary64) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64))))) |
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64)))) |
#s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64))) |
(*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64)) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) n) |
(pow.f64 i #s(literal 3 binary64)) |
i |
#s(literal 3 binary64) |
n |
#s(literal 25/6 binary64) |
(*.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) n) i))) |
#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) n) i)) |
(/.f64 #s(literal -1 binary64) i) |
#s(literal -1 binary64) |
i |
n |
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) i) |
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(+.f64 (/.f64 i n) #s(literal 1 binary64)) |
(/.f64 i n) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)) |
#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) #s(literal 100 binary64)) n) i) |
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n) |
(*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) |
(*.f64 (expm1.f64 i) #s(literal 100 binary64)) |
(expm1.f64 i) |
i |
#s(literal 100 binary64) |
n |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (*.f64 (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 (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))) |
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) (*.f64 (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)) |
(fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)) |
(*.f64 (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 |
#s(literal 100 binary64) |
(*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) n) i) |
(*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) n) |
(fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) |
(fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) |
#s(literal 25/6 binary64) |
i |
#s(literal 50/3 binary64) |
#s(literal 50 binary64) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64))))) |
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64)))) |
#s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64))) |
(*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64)) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) n) |
(pow.f64 i #s(literal 3 binary64)) |
i |
#s(literal 3 binary64) |
n |
#s(literal 25/6 binary64) |
(*.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) n) i))) |
(*.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) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) i)) |
(*.f64 (/.f64 n i) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) i) |
#s(literal -1 binary64) |
i |
n |
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) i) |
(/.f64 (*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) n) i) |
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) |
(*.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) n) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) |
(+.f64 (/.f64 i n) #s(literal 1 binary64)) |
(-.f64 (/.f64 i n) #s(literal -1 binary64)) |
(/.f64 i n) |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) | |
| accuracy | 0.0625 | (*.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) n) i))) | |
| accuracy | 15.001693128517086 | (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) | |
| accuracy | 37.894450137807276 | (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) i)) | |
| accuracy | 4.663039040596635 | (*.f64 (pow.f64 i #s(literal 3 binary64)) n) | |
| accuracy | 14.032735446946244 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64))))) | |
| accuracy | 15.794136923157275 | #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64)))) | |
| accuracy | 36.99270944904883 | #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64))) | |
| accuracy | 0.23046875 | (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) | |
| accuracy | 3.076577856621992 | (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) | |
| accuracy | 14.032735446946244 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)))) | |
| accuracy | 15.794136923157275 | #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))) | |
| accuracy | 51.37275199864639 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) | |
| accuracy | 0.03125 | (*.f64 (expm1.f64 i) #s(literal 100 binary64)) | |
| accuracy | 0.08984375 | (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) | |
| accuracy | 6.950742072307072 | (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i) | |
| accuracy | 14.032735446946244 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)) |
| 131.0ms | 133× | 1 | valid |
| 84.0ms | 58× | 2 | valid |
| 22.0ms | 63× | 0 | valid |
| 2.0ms | 1× | 5 | exit |
| 0.0ms | 1× | 1 | exit |
Compiled 689 to 112 computations (83.7% saved)
ival-pow: 82.0ms (40.5% of total)ival-mult: 42.0ms (20.8% of total)ival-div: 27.0ms (13.3% of total)adjust: 20.0ms (9.9% of total)ival-add: 16.0ms (7.9% of total)const: 9.0ms (4.4% of total)ival-expm1: 3.0ms (1.5% of total)ival-sub: 3.0ms (1.5% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)) |
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i) |
(*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) |
(*.f64 (expm1.f64 i) #s(literal 100 binary64)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) |
(fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)))) |
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))) |
(*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64))))) |
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64)))) |
#s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64))) |
(*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) 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) n) i))) |
(/.f64 #s(literal -1 binary64) i) |
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) i) |
(*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) |
(fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) n) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) 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 (* i n)) |
(* i (+ (* 50 (* i n)) (* 100 n))) |
(* i (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))) |
(* i (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))) |
(* 100 i) |
(* i (+ 100 (* 50 i))) |
(* i (+ 100 (* i (+ 50 (* 50/3 i))))) |
(* i (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))) |
(* 50 (* i n)) |
(* i (+ (* 50/3 (* i n)) (* 50 n))) |
(* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))) |
(* 25/6 (* (pow i 3) n)) |
(/ (+ n (* -1 n)) i) |
(/ (+ n (+ (* -1 n) (* i n))) i) |
(/ (+ n (+ (* -1 n) (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/ (+ n (+ (* -1 n) (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(* 100 (/ (+ n (* -1 n)) i)) |
(/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i) |
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(/ -1 i) |
(/ 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) |
(* 50 n) |
(+ (* 50/3 (* i n)) (* 50 n)) |
(+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n)))) |
50/3 |
(+ 50/3 (* 25/6 i)) |
(* (pow i 3) n) |
1 |
(+ 1 i) |
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) |
n |
(+ n (* i n)) |
(+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))) |
(+ 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))))))))) |
(* 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 (* n (- (exp i) 1))) |
(* 100 (- (exp i) 1)) |
(* (pow i 3) (+ (* 25/6 n) (* 50/3 (/ n i)))) |
(* (pow i 3) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2)))))) |
(* (pow i 3) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (+ (* 50 (/ n (pow i 2))) (* 100 (/ n (pow i 3))))))) |
(/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i) |
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(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))) |
(* i (* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))) |
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(* 100 (* (pow n 2) (+ (* -1 (/ (log n) i)) (/ (log i) i)))) |
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(exp i) |
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(* -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 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))) 100))) |
(* -1 (* n (- (* i (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)) 100))) |
(* -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))))) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(* -1 (* n (+ (* -1 (exp i)) (* 1/2 (/ (* (pow i 2) (exp i)) n))))) |
(* -1 (* n (+ (* -1 (exp i)) (* -1 (/ (+ (* -1/2 (* (pow i 2) (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) n))))) |
(* -1 (* n (+ (* -1 (exp i)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) n)) (* -1/2 (* (pow i 2) (exp i)))) n))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | i | @ | -inf | ((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* (- (exp i) 1) 100) n) i) (* (* (- (exp i) 1) 100) n) (* (- (exp i) 1) 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* n 100) (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (* (* (pow i 3) n) 25/6) (+ (* (/ -1 i) n) (/ (* (pow (+ (/ i n) 1) n) n) i)) (* 100 (+ (* (/ -1 i) n) (/ (* (pow (+ (/ i n) 1) n) n) i))) (/ -1 i) (/ (* (pow (+ (/ i n) 1) n) n) i) (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) (+ (* 25/6 i) 50/3) (* (pow i 3) n) (pow (+ (/ i n) 1) n) (* (pow (+ (/ i n) 1) n) n)) |
| 5.0ms | n | @ | -inf | ((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* (- (exp i) 1) 100) n) i) (* (* (- (exp i) 1) 100) n) (* (- (exp i) 1) 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* n 100) (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (* (* (pow i 3) n) 25/6) (+ (* (/ -1 i) n) (/ (* (pow (+ (/ i n) 1) n) n) i)) (* 100 (+ (* (/ -1 i) n) (/ (* (pow (+ (/ i n) 1) n) n) i))) (/ -1 i) (/ (* (pow (+ (/ i n) 1) n) n) i) (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) (+ (* 25/6 i) 50/3) (* (pow i 3) n) (pow (+ (/ i n) 1) n) (* (pow (+ (/ i n) 1) n) n)) |
| 4.0ms | n | @ | inf | ((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* (- (exp i) 1) 100) n) i) (* (* (- (exp i) 1) 100) n) (* (- (exp i) 1) 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* n 100) (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (* (* (pow i 3) n) 25/6) (+ (* (/ -1 i) n) (/ (* (pow (+ (/ i n) 1) n) n) i)) (* 100 (+ (* (/ -1 i) n) (/ (* (pow (+ (/ i n) 1) n) n) i))) (/ -1 i) (/ (* (pow (+ (/ i n) 1) n) n) i) (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) (+ (* 25/6 i) 50/3) (* (pow i 3) n) (pow (+ (/ i n) 1) n) (* (pow (+ (/ i n) 1) n) n)) |
| 4.0ms | n | @ | 0 | ((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* (- (exp i) 1) 100) n) i) (* (* (- (exp i) 1) 100) n) (* (- (exp i) 1) 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* n 100) (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (* (* (pow i 3) n) 25/6) (+ (* (/ -1 i) n) (/ (* (pow (+ (/ i n) 1) n) n) i)) (* 100 (+ (* (/ -1 i) n) (/ (* (pow (+ (/ i n) 1) n) n) i))) (/ -1 i) (/ (* (pow (+ (/ i n) 1) n) n) i) (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) (+ (* 25/6 i) 50/3) (* (pow i 3) n) (pow (+ (/ i n) 1) n) (* (pow (+ (/ i n) 1) n) n)) |
| 3.0ms | i | @ | inf | ((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* (- (exp i) 1) 100) n) i) (* (* (- (exp i) 1) 100) n) (* (- (exp i) 1) 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* n 100) (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* (/ (- (exp i) 1) i) 100) n) (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (* (* (pow i 3) n) 25/6) (+ (* (/ -1 i) n) (/ (* (pow (+ (/ i n) 1) n) n) i)) (* 100 (+ (* (/ -1 i) n) (/ (* (pow (+ (/ i n) 1) n) n) i))) (/ -1 i) (/ (* (pow (+ (/ i n) 1) n) n) i) (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) (+ (* 25/6 i) 50/3) (* (pow i 3) n) (pow (+ (/ i n) 1) n) (* (pow (+ (/ i n) 1) n) n)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 756 | 6207 |
| 1 | 2444 | 5629 |
| 0 | 8143 | 5225 |
| 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 (* i n)) |
(* i (+ (* 50 (* i n)) (* 100 n))) |
(* i (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))) |
(* i (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))) |
(* 100 i) |
(* i (+ 100 (* 50 i))) |
(* i (+ 100 (* i (+ 50 (* 50/3 i))))) |
(* i (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))) |
(* 50 (* i n)) |
(* i (+ (* 50/3 (* i n)) (* 50 n))) |
(* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))) |
(* 25/6 (* (pow i 3) n)) |
(/ (+ n (* -1 n)) i) |
(/ (+ n (+ (* -1 n) (* i n))) i) |
(/ (+ n (+ (* -1 n) (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/ (+ n (+ (* -1 n) (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(* 100 (/ (+ n (* -1 n)) i)) |
(/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i) |
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(/ -1 i) |
(/ 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) |
(* 50 n) |
(+ (* 50/3 (* i n)) (* 50 n)) |
(+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n)))) |
50/3 |
(+ 50/3 (* 25/6 i)) |
(* (pow i 3) n) |
1 |
(+ 1 i) |
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) |
n |
(+ n (* i n)) |
(+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))) |
(+ 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))))))))) |
(* 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 (* n (- (exp i) 1))) |
(* 100 (- (exp i) 1)) |
(* (pow i 3) (+ (* 25/6 n) (* 50/3 (/ n i)))) |
(* (pow i 3) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2)))))) |
(* (pow i 3) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (+ (* 50 (/ n (pow i 2))) (* 100 (/ n (pow i 3))))))) |
(/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i) |
(/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(* 100 (/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i)) |
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* 100 (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(/ (* 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) |
(* 25/6 (* (pow i 2) n)) |
(* (pow i 2) (+ (* 25/6 n) (* 50/3 (/ n i)))) |
(* (pow i 2) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2)))))) |
(* 25/6 i) |
(* i (+ 25/6 (* 50/3 (/ 1 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)))) |
(* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 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 (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 (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)))) |
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i)) |
(* -1 (* (pow i 3) (+ (* -50/3 (/ n i)) (* -25/6 n)))) |
(* -1 (* (pow i 3) (+ (* -25/6 n) (* -1 (/ (+ (* 50/3 n) (* 50 (/ n i))) i))))) |
(* -1 (* (pow i 3) (+ (* -25/6 n) (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ n i)) (* -50 n)) i)) (* 50/3 n)) i))))) |
(* -1 (/ (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i)) |
(* -1 (/ (+ n (+ (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)))) i)) |
(* -1 (/ (+ n (+ (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i)))) i)) |
(* -1 (/ (+ n (+ (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i)))) i)) |
(* -100 (/ (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i)) |
(* -1 (/ (+ (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) (* 100 (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))))) i)) |
(* -1 (/ (+ (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)) (* 100 (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))))) i)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i)) (* 100 (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))))) i)) |
(/ (* 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)) |
(* (pow i 2) (+ (* -1 (/ (+ (* -50 (/ n i)) (* -50/3 n)) i)) (* 25/6 n))) |
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) |
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) |
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) |
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) |
(* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) |
(+ (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) |
(+ (* -1 (/ (+ (* -1 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)) (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) |
(+ (* -1 (/ (+ (* -1 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* 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)) (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) i))) i)) (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) |
(* 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 (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))) |
(* i (* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (/ (log i) i))) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(* 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 (+ 50 (* i (+ 50/3 (* 25/6 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 (+ 1 (* n (+ (log i) (* -1 (log n)))))) |
(* n (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))) |
(* n (+ 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 (+ (* -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) 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) 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) |
(+ (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)) |
(* n (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))) |
(* 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))))) |
(* n (+ (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 (+ (* -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 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))) 100))) |
(* -1 (* n (- (* i (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)) 100))) |
(* -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))))) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(* -1 (* n (+ (* -1 (exp i)) (* 1/2 (/ (* (pow i 2) (exp i)) n))))) |
(* -1 (* n (+ (* -1 (exp i)) (* -1 (/ (+ (* -1/2 (* (pow i 2) (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) n))))) |
(* -1 (* n (+ (* -1 (exp i)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) n)) (* -1/2 (* (pow i 2) (exp i)))) 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)))))) |
(*.f64 (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) |
(* 100 (* i n)) |
(*.f64 (*.f64 i #s(literal 100 binary64)) n) |
(* i (+ (* 50 (* i n)) (* 100 n))) |
(*.f64 (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) i) |
(* i (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))) |
(*.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64))) i) |
(* i (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))) |
(*.f64 (*.f64 (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) i) |
(* 100 i) |
(*.f64 i #s(literal 100 binary64)) |
(* i (+ 100 (* 50 i))) |
(*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) i) |
(* i (+ 100 (* i (+ 50 (* 50/3 i))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64)) i #s(literal 100 binary64)) i) |
(* i (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))) |
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(* 50 (* i n)) |
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(*.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) (/.f64 (exp.f64 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))) 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) (/.f64 (exp.f64 i) 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))) (neg.f64 n))) n)) (neg.f64 n)) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* 1/2 (/ (* i (exp i)) n))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) i) (/.f64 (exp.f64 i) n) (/.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 (-.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)) (neg.f64 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))))) |
(*.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)) (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 #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)) (* 1/2 (/ (* (pow i 2) (exp i)) n))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (/.f64 (exp.f64 i) n) (neg.f64 (exp.f64 i))) (neg.f64 n)) |
(* -1 (* n (+ (* -1 (exp i)) (* -1 (/ (+ (* -1/2 (* (pow i 2) (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) n))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 i)) (*.f64 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))) (/.f64 (exp.f64 i) n))) (neg.f64 n)) (exp.f64 i)) (neg.f64 n)) |
(* -1 (* n (+ (* -1 (exp i)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) n)) (* -1/2 (* (pow i 2) (exp i)))) n))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 i)) (*.f64 i i) (/.f64 (fma.f64 (neg.f64 (exp.f64 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))) (*.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)))) (/.f64 (exp.f64 i) n))) (neg.f64 n))) (neg.f64 n)) (exp.f64 i)) (neg.f64 n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 347 |
| 0 | 80 | 335 |
| 1 | 327 | 329 |
| 2 | 2347 | 329 |
| 0 | 9359 | 313 |
| 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) #s(literal 100 binary64)) n) i)) |
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i) |
(*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) |
(*.f64 (expm1.f64 i) #s(literal 100 binary64)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) |
(fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)))) |
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i))) |
(*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64))))) |
#s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64)))) |
#s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64))) |
(*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) 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) n) i))) |
(/.f64 #s(literal -1 binary64) i) |
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) i) |
(*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) |
(fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) n) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)) |
(*.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 (/.f64 n i) (*.f64 (expm1.f64 i) #s(literal 100 binary64))) |
(*.f64 (pow.f64 i #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n)) |
(*.f64 (*.f64 (neg.f64 n) (*.f64 (expm1.f64 i) #s(literal 100 binary64))) (/.f64 #s(literal -1 binary64) i)) |
(*.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 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (/.f64 n i)) |
(*.f64 (expm1.f64 i) (/.f64 (*.f64 n #s(literal 100 binary64)) i)) |
(*.f64 (expm1.f64 i) (*.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 n #s(literal 100 binary64)))) |
(*.f64 (expm1.f64 i) (*.f64 (*.f64 n #s(literal 100 binary64)) (pow.f64 i #s(literal -1 binary64)))) |
(*.f64 (expm1.f64 i) (*.f64 #s(literal 100 binary64) (/.f64 n i))) |
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)) |
(*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 i) i) n)) |
(pow.f64 (/.f64 (/.f64 i (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 i (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 n #s(literal 100 binary64))) (/.f64 i (expm1.f64 i))) |
(/.f64 (*.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) #s(literal 1 binary64)) i) |
(/.f64 (neg.f64 (*.f64 (neg.f64 n) (*.f64 (expm1.f64 i) #s(literal 100 binary64)))) (neg.f64 (neg.f64 i))) |
(/.f64 (*.f64 (neg.f64 n) (*.f64 (expm1.f64 i) #s(literal 100 binary64))) (neg.f64 i)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n)))) |
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 n) (*.f64 (expm1.f64 i) #s(literal 100 binary64))) i)) |
(neg.f64 (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) (neg.f64 i))) |
(exp.f64 (*.f64 (log.f64 (/.f64 i (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (expm1.f64 i) n) #s(literal 100 binary64)) |
(*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) |
(*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 i)) |
(*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) |
(*.f64 (expm1.f64 i) (*.f64 n #s(literal 100 binary64))) |
(*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 2 binary64))) (*.f64 n #s(literal 100 binary64))) (+.f64 (exp.f64 i) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (*.f64 n #s(literal 100 binary64))) (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64)))) |
(*.f64 (expm1.f64 i) #s(literal 100 binary64)) |
(*.f64 #s(literal 100 binary64) (expm1.f64 i)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 2 binary64))) #s(literal 100 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #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) (expm1.f64 (*.f64 i #s(literal 2 binary64)))) (+.f64 (exp.f64 i) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64)))) |
(fma.f64 (exp.f64 i) #s(literal 100 binary64) #s(literal -100 binary64)) |
(fma.f64 #s(literal 100 binary64) (exp.f64 i) #s(literal -100 binary64)) |
(+.f64 (*.f64 (exp.f64 i) #s(literal 100 binary64)) #s(literal -100 binary64)) |
(+.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) #s(literal -100 binary64)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) |
(*.f64 (-.f64 (pow.f64 (*.f64 n #s(literal 100 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) n) i) #s(literal 2 binary64))) (pow.f64 (*.f64 n (-.f64 #s(literal 100 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) n) i) #s(literal 2 binary64)) (pow.f64 (*.f64 n #s(literal 100 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 n (-.f64 (*.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))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1000000 binary64) (pow.f64 n #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) n) i) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 n n) #s(literal 10000 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) n) i) (*.f64 n (-.f64 (*.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))))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1000000 binary64) (pow.f64 n #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) n) i) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 n (-.f64 #s(literal 100 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i))) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) n) i) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i))) |
(*.f64 n (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))) |
(pow.f64 (/.f64 (*.f64 n (-.f64 #s(literal 100 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) i))) (-.f64 (pow.f64 (*.f64 n #s(literal 100 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) n) i) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 n (-.f64 (*.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))) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) n) i) #s(literal 2 binary64)) (pow.f64 (*.f64 n #s(literal 100 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 n n) #s(literal 10000 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) n) i) (*.f64 n (-.f64 (*.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))))) (fma.f64 #s(literal 1000000 binary64) (pow.f64 n #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) n) i) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
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(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))) n)) |
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) |
(*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) |
Compiled 27 276 to 3 189 computations (88.3% saved)
51 alts after pruning (45 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 678 | 12 | 690 |
| Fresh | 5 | 33 | 38 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 685 | 51 | 736 |
| Status | Accuracy | Program |
|---|---|---|
| 21.7% | (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) | |
| 20.9% | (fma.f64 (/.f64 n i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal -100 binary64) n) i)) | |
| 21.2% | (fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 n #s(literal 100 binary64))) i)) | |
| 14.2% | (fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) (/.f64 n i)) #s(literal 100 binary64))) | |
| 72.1% | (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n) | |
| 25.5% | (*.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) | |
| 71.7% | (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64))) | |
| 15.5% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (-.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64))) | |
| 11.9% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (pow (+ (/ i n) 1) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) | |
| 59.5% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) | |
| 25.5% | (*.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) n) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) | |
| 72.1% | (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n) | |
| 21.6% | (*.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))) | |
| ✓ | 21.3% | (*.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) n) i))) |
| 14.5% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx (/ (* (pow (+ (/ i n) 1) n) n) i) (/.f64 n i)))) | |
| 14.6% | (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) i (*.f64 i (neg.f64 n))) (*.f64 i i))) | |
| 16.0% | (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n))) (*.f64 i i))) | |
| 26.0% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) n) i)) | |
| 11.9% | (*.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))) | |
| 25.5% | (*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.f64 n i))) | |
| 55.1% | (*.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))) | |
| 47.8% | (*.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))) | |
| 39.6% | (*.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)))) | |
| 6.1% | (*.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))))) | |
| 52.5% | (*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ -1 i) n) (/ (* (pow (+ (/ i n) 1) n) 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 #s(literal 0 binary64)) i))) | |
| ✓ | 72.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)) |
| 55.7% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 (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)) i)) n) i)) | |
| 50.4% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) n) i)) | |
| ✓ | 78.0% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
| 11.8% | #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))) | |
| ✓ | 77.1% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n)) |
| 59.3% | #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)) | |
| 58.2% | #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)) | |
| 55.3% | #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)) | |
| ✓ | 52.1% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
| 59.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) (*.f64 n i) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64))))) | |
| 59.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) (*.f64 n i) (*.f64 n #s(literal 100 binary64))))) | |
| 41.0% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 #s(approx (* n (+ (* 25/6 i) 50/3)) (*.f64 (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n)) i)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64))))) | |
| 58.9% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 (*.f64 (*.f64 i i) #s(literal 25/6 binary64)) n)) i (*.f64 n #s(literal 100 binary64))))) | |
| 55.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64))))) | |
| 59.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (/.f64 (fma.f64 #s(literal 625/36 binary64) (*.f64 i i) #s(literal -2500/9 binary64)) (fma.f64 #s(literal 25/6 binary64) i #s(literal -50/3 binary64))) i #s(literal 50 binary64))) i)))) | |
| 59.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 625/36 binary64) (*.f64 i i)) (fma.f64 #s(literal 25/6 binary64) i #s(literal -50/3 binary64))) (/.f64 #s(literal 2500/9 binary64) (fma.f64 #s(literal 25/6 binary64) i #s(literal -50/3 binary64)))) i #s(literal 50 binary64))) i)))) | |
| 58.9% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 #s(approx (+ (* 25/6 i) 50/3) (*.f64 (+.f64 (/.f64 #s(literal 50/3 binary64) i) #s(literal 25/6 binary64)) i)) i #s(literal 50 binary64))) i)))) | |
| 55.3% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) #s(approx (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i) (*.f64 (*.f64 #s(literal 50 binary64) i) n))))) | |
| 13.7% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n)) (pow.f64 i #s(literal 3 binary64)))))) | |
| 14.0% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 i i) (*.f64 (*.f64 #s(literal 25/6 binary64) i) n))))) | |
| 13.7% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (*.f64 #s(literal -50/3 binary64) (/.f64 n i)))) (pow.f64 i #s(literal 3 binary64)))))) | |
| 14.0% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 i (*.f64 (*.f64 i i) (*.f64 #s(literal 25/6 binary64) n)))))) | |
| 12.2% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* n 100) (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (/.f64 (fma.f64 #s(literal 50/3 binary64) n (/.f64 (*.f64 #s(literal 50 binary64) n) i)) (neg.f64 i)))) (pow.f64 i #s(literal 3 binary64)))))) | |
| ✓ | 19.0% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) |
| 50.3% | #s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i)) |
Compiled 4 242 to 1 556 computations (63.3% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) #s(approx (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i) (*.f64 (*.f64 #s(literal 50 binary64) i) n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 i (*.f64 (*.f64 i i) (*.f64 #s(literal 25/6 binary64) n)))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 i i) (*.f64 (*.f64 #s(literal 25/6 binary64) i) n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) n) i)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.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 (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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 (*.f64 (*.f64 i i) #s(literal 25/6 binary64)) n)) i (*.f64 n #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 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (-.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) (*.f64 n i) (*.f64 n #s(literal 100 binary64))))) |
(*.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))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) 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))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) (*.f64 n i) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64))))) |
(*.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) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx (* (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i)))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx (/ (* (pow (+ (/ i n) 1) n) n) i) (/.f64 n i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 (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)) i)) n) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 #s(approx (+ (* 25/6 i) 50/3) (*.f64 (+.f64 (/.f64 #s(literal 50/3 binary64) i) #s(literal 25/6 binary64)) i)) i #s(literal 50 binary64))) i)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) (/.f64 n i)) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (/.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i #s(literal 0 binary64)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ -1 i) n) (/ (* (pow (+ (/ i n) 1) n) 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 #s(literal 0 binary64)) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 #s(approx (* n (+ (* 25/6 i) 50/3)) (*.f64 (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n)) i)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 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))) (/.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))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (/.f64 (fma.f64 #s(literal 625/36 binary64) (*.f64 i i) #s(literal -2500/9 binary64)) (fma.f64 #s(literal 25/6 binary64) i #s(literal -50/3 binary64))) i #s(literal 50 binary64))) i)))) |
(*.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 (/ (- (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)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 625/36 binary64) (*.f64 i i)) (fma.f64 #s(literal 25/6 binary64) i #s(literal -50/3 binary64))) (/.f64 #s(literal 2500/9 binary64) (fma.f64 #s(literal 25/6 binary64) i #s(literal -50/3 binary64)))) i #s(literal 50 binary64))) i)))) |
(*.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 #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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) 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 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) 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))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n)) (pow.f64 i #s(literal 3 binary64)))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (*.f64 #s(literal -50/3 binary64) (/.f64 n i)))) (pow.f64 i #s(literal 3 binary64)))))) |
(*.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 #s(literal 100 binary64) i) n) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) |
(*.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 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (-.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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* n 100) (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (/.f64 (fma.f64 #s(literal 50/3 binary64) n (/.f64 (*.f64 #s(literal 50 binary64) n) i)) (neg.f64 i)))) (pow.f64 i #s(literal 3 binary64)))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (/.f64 (fma.f64 (/.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 50/3 binary64) n)) (neg.f64 i)))) (pow.f64 i #s(literal 3 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) (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.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 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i) (/.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))) |
(*.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) n) i))) |
(fma.f64 (/.f64 n i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal -100 binary64) n) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n))) (*.f64 i i))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) i (*.f64 i (neg.f64 n))) (*.f64 i 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 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 n #s(literal 100 binary64))) 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 #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 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (pow (+ (/ i n) 1) 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 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) 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 #s(literal 100 binary64) i) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) 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 n #s(literal 100 binary64))) |
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n) |
(*.f64 (*.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) (neg.f64 n)) |
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 i i)) (*.f64 n n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 i n)) (pow.f64 n #s(literal -1 binary64))) (/.f64 (/.f64 i n) n))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 3 binary64)) (pow.f64 (/.f64 n i) #s(literal 3 binary64))) #s(literal 100 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)))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n) |
(*.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) n) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
4 calls:
| 24.0ms | (*.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))) |
| 23.0ms | n |
| 22.0ms | i |
| 22.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 4 | i |
| 90.6% | 3 | n |
| 92.8% | 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))) |
| 92.8% | 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))) #s(literal 0 binary64)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) #s(approx (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i) (*.f64 (*.f64 #s(literal 50 binary64) i) n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 i (*.f64 (*.f64 i i) (*.f64 #s(literal 25/6 binary64) n)))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 i i) (*.f64 (*.f64 #s(literal 25/6 binary64) i) n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) n) i)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.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 (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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 (*.f64 (*.f64 i i) #s(literal 25/6 binary64)) n)) i (*.f64 n #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 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (-.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) (*.f64 n i) (*.f64 n #s(literal 100 binary64))))) |
(*.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))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) 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))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) (*.f64 n i) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64))))) |
(*.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) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx (* (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i)))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx (/ (* (pow (+ (/ i n) 1) n) n) i) (/.f64 n i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 (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)) i)) n) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 #s(approx (+ (* 25/6 i) 50/3) (*.f64 (+.f64 (/.f64 #s(literal 50/3 binary64) i) #s(literal 25/6 binary64)) i)) i #s(literal 50 binary64))) i)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) (/.f64 n i)) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (/.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i #s(literal 0 binary64)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ -1 i) n) (/ (* (pow (+ (/ i n) 1) n) 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 #s(literal 0 binary64)) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 #s(approx (* n (+ (* 25/6 i) 50/3)) (*.f64 (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n)) i)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 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))) (/.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))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (/.f64 (fma.f64 #s(literal 625/36 binary64) (*.f64 i i) #s(literal -2500/9 binary64)) (fma.f64 #s(literal 25/6 binary64) i #s(literal -50/3 binary64))) i #s(literal 50 binary64))) i)))) |
(*.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 (/ (- (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)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 625/36 binary64) (*.f64 i i)) (fma.f64 #s(literal 25/6 binary64) i #s(literal -50/3 binary64))) (/.f64 #s(literal 2500/9 binary64) (fma.f64 #s(literal 25/6 binary64) i #s(literal -50/3 binary64)))) i #s(literal 50 binary64))) i)))) |
(*.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 #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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) 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 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) 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))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n)) (pow.f64 i #s(literal 3 binary64)))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (*.f64 #s(literal -50/3 binary64) (/.f64 n i)))) (pow.f64 i #s(literal 3 binary64)))))) |
(*.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 #s(literal 100 binary64) i) n) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) |
(*.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 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (-.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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* n 100) (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (/.f64 (fma.f64 #s(literal 50/3 binary64) n (/.f64 (*.f64 #s(literal 50 binary64) n) i)) (neg.f64 i)))) (pow.f64 i #s(literal 3 binary64)))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (/.f64 (fma.f64 (/.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 50/3 binary64) n)) (neg.f64 i)))) (pow.f64 i #s(literal 3 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) (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.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 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i) (/.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))) |
(*.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) n) i))) |
(fma.f64 (/.f64 n i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal -100 binary64) n) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n))) (*.f64 i i))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) i (*.f64 i (neg.f64 n))) (*.f64 i 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 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 n #s(literal 100 binary64))) 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 #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 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (pow (+ (/ i n) 1) 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 |
|---|
#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) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.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)) |
4 calls:
| 25.0ms | i |
| 20.0ms | n |
| 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 |
|---|---|---|
| 81.5% | 2 | i |
| 85.4% | 3 | n |
| 81.4% | 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))) |
| 81.4% | 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))) #s(literal 0 binary64)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) #s(approx (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i) (*.f64 (*.f64 #s(literal 50 binary64) i) n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 i (*.f64 (*.f64 i i) (*.f64 #s(literal 25/6 binary64) n)))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 i i) (*.f64 (*.f64 #s(literal 25/6 binary64) i) n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) n) i)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.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 (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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 (*.f64 (*.f64 i i) #s(literal 25/6 binary64)) n)) i (*.f64 n #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 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (-.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) (*.f64 n i) (*.f64 n #s(literal 100 binary64))))) |
(*.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))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) 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))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) (*.f64 n i) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64))))) |
(*.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) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx (* (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i)))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx (/ (* (pow (+ (/ i n) 1) n) n) i) (/.f64 n i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 (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)) i)) n) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 #s(approx (+ (* 25/6 i) 50/3) (*.f64 (+.f64 (/.f64 #s(literal 50/3 binary64) i) #s(literal 25/6 binary64)) i)) i #s(literal 50 binary64))) i)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) (/.f64 n i)) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (/.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i #s(literal 0 binary64)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ -1 i) n) (/ (* (pow (+ (/ i n) 1) n) 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 #s(literal 0 binary64)) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 #s(approx (* n (+ (* 25/6 i) 50/3)) (*.f64 (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n)) i)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 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))) (/.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))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (/.f64 (fma.f64 #s(literal 625/36 binary64) (*.f64 i i) #s(literal -2500/9 binary64)) (fma.f64 #s(literal 25/6 binary64) i #s(literal -50/3 binary64))) i #s(literal 50 binary64))) i)))) |
(*.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 (/ (- (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)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 625/36 binary64) (*.f64 i i)) (fma.f64 #s(literal 25/6 binary64) i #s(literal -50/3 binary64))) (/.f64 #s(literal 2500/9 binary64) (fma.f64 #s(literal 25/6 binary64) i #s(literal -50/3 binary64)))) i #s(literal 50 binary64))) i)))) |
(*.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 #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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) 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 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) 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))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n)) (pow.f64 i #s(literal 3 binary64)))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (*.f64 #s(literal -50/3 binary64) (/.f64 n i)))) (pow.f64 i #s(literal 3 binary64)))))) |
(*.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 #s(literal 100 binary64) i) n) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) |
(*.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 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (-.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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* n 100) (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (/.f64 (fma.f64 #s(literal 50/3 binary64) n (/.f64 (*.f64 #s(literal 50 binary64) n) i)) (neg.f64 i)))) (pow.f64 i #s(literal 3 binary64)))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (/.f64 (fma.f64 (/.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 50/3 binary64) n)) (neg.f64 i)))) (pow.f64 i #s(literal 3 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) (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.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 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i) (/.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))) |
(*.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) n) i))) |
(fma.f64 (/.f64 n i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal -100 binary64) n) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n))) (*.f64 i i))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) i (*.f64 i (neg.f64 n))) (*.f64 i 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 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 n #s(literal 100 binary64))) 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 #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 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (pow (+ (/ i n) 1) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 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 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 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:
| 21.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.4% | 3 | n |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) #s(approx (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i) (*.f64 (*.f64 #s(literal 50 binary64) i) n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 i (*.f64 (*.f64 i i) (*.f64 #s(literal 25/6 binary64) n)))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 i i) (*.f64 (*.f64 #s(literal 25/6 binary64) i) n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) n) i)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.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 (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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 (*.f64 (*.f64 i i) #s(literal 25/6 binary64)) n)) i (*.f64 n #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 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (-.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) (*.f64 n i) (*.f64 n #s(literal 100 binary64))))) |
(*.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))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) 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))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) (*.f64 n i) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64))))) |
(*.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) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx (* (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i)))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx (/ (* (pow (+ (/ i n) 1) n) n) i) (/.f64 n i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 (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)) i)) n) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 #s(approx (+ (* 25/6 i) 50/3) (*.f64 (+.f64 (/.f64 #s(literal 50/3 binary64) i) #s(literal 25/6 binary64)) i)) i #s(literal 50 binary64))) i)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) (/.f64 n i)) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (/.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i #s(literal 0 binary64)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ -1 i) n) (/ (* (pow (+ (/ i n) 1) n) 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 #s(literal 0 binary64)) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 #s(approx (* n (+ (* 25/6 i) 50/3)) (*.f64 (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n)) i)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 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))) (/.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))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (/.f64 (fma.f64 #s(literal 625/36 binary64) (*.f64 i i) #s(literal -2500/9 binary64)) (fma.f64 #s(literal 25/6 binary64) i #s(literal -50/3 binary64))) i #s(literal 50 binary64))) i)))) |
(*.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 (/ (- (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)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 625/36 binary64) (*.f64 i i)) (fma.f64 #s(literal 25/6 binary64) i #s(literal -50/3 binary64))) (/.f64 #s(literal 2500/9 binary64) (fma.f64 #s(literal 25/6 binary64) i #s(literal -50/3 binary64)))) i #s(literal 50 binary64))) i)))) |
(*.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 #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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) 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 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) 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))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n)) (pow.f64 i #s(literal 3 binary64)))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (*.f64 #s(literal -50/3 binary64) (/.f64 n i)))) (pow.f64 i #s(literal 3 binary64)))))) |
(*.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 #s(literal 100 binary64) i) n) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) |
(*.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 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (-.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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* n 100) (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (/.f64 (fma.f64 #s(literal 50/3 binary64) n (/.f64 (*.f64 #s(literal 50 binary64) n) i)) (neg.f64 i)))) (pow.f64 i #s(literal 3 binary64)))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (/.f64 (fma.f64 (/.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 50/3 binary64) n)) (neg.f64 i)))) (pow.f64 i #s(literal 3 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) (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.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 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i) (/.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))) |
(*.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) n) i))) |
(fma.f64 (/.f64 n i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal -100 binary64) n) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n))) (*.f64 i i))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) i (*.f64 i (neg.f64 n))) (*.f64 i 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 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 n #s(literal 100 binary64))) 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 #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)))) |
| Outputs |
|---|
#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 (*.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 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
1 calls:
| 22.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.5% | 3 | n |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) #s(approx (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i) (*.f64 (*.f64 #s(literal 50 binary64) i) n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 i (*.f64 (*.f64 i i) (*.f64 #s(literal 25/6 binary64) n)))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 i i) (*.f64 (*.f64 #s(literal 25/6 binary64) i) n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) n) i)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.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 (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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 (*.f64 (*.f64 i i) #s(literal 25/6 binary64)) n)) i (*.f64 n #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 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (-.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) (*.f64 n i) (*.f64 n #s(literal 100 binary64))))) |
(*.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))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) 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))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) (*.f64 n i) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64))))) |
(*.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) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx (* (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i)))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx (/ (* (pow (+ (/ i n) 1) n) n) i) (/.f64 n i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 (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)) i)) n) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 #s(approx (+ (* 25/6 i) 50/3) (*.f64 (+.f64 (/.f64 #s(literal 50/3 binary64) i) #s(literal 25/6 binary64)) i)) i #s(literal 50 binary64))) i)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) (/.f64 n i)) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (/.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i #s(literal 0 binary64)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ -1 i) n) (/ (* (pow (+ (/ i n) 1) n) 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 #s(literal 0 binary64)) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 #s(approx (* n (+ (* 25/6 i) 50/3)) (*.f64 (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n)) i)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 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))) (/.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))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (/.f64 (fma.f64 #s(literal 625/36 binary64) (*.f64 i i) #s(literal -2500/9 binary64)) (fma.f64 #s(literal 25/6 binary64) i #s(literal -50/3 binary64))) i #s(literal 50 binary64))) i)))) |
(*.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 (/ (- (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)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 625/36 binary64) (*.f64 i i)) (fma.f64 #s(literal 25/6 binary64) i #s(literal -50/3 binary64))) (/.f64 #s(literal 2500/9 binary64) (fma.f64 #s(literal 25/6 binary64) i #s(literal -50/3 binary64)))) i #s(literal 50 binary64))) i)))) |
(*.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 #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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) 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 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) 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))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n)) (pow.f64 i #s(literal 3 binary64)))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (*.f64 #s(literal -50/3 binary64) (/.f64 n i)))) (pow.f64 i #s(literal 3 binary64)))))) |
(*.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 #s(literal 100 binary64) i) n) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) |
(*.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 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (-.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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* n 100) (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (/.f64 (fma.f64 #s(literal 50/3 binary64) n (/.f64 (*.f64 #s(literal 50 binary64) n) i)) (neg.f64 i)))) (pow.f64 i #s(literal 3 binary64)))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (neg.f64 (fma.f64 #s(literal -25/6 binary64) n (/.f64 (fma.f64 (/.f64 n i) #s(literal 50 binary64) (*.f64 #s(literal 50/3 binary64) n)) (neg.f64 i)))) (pow.f64 i #s(literal 3 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) (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (/.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 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i) (/.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))) |
(*.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) n) i))) |
(fma.f64 (/.f64 n i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal -100 binary64) n) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n))) (*.f64 i i))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) i (*.f64 i (neg.f64 n))) (*.f64 i 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 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 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) (/.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 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
1 calls:
| 19.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.5% | 3 | n |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) #s(approx (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i) (*.f64 (*.f64 #s(literal 50 binary64) i) n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 i (*.f64 (*.f64 i i) (*.f64 #s(literal 25/6 binary64) n)))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 i i) (*.f64 (*.f64 #s(literal 25/6 binary64) i) n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) n) i)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.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 (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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 (*.f64 (*.f64 i i) #s(literal 25/6 binary64)) n)) i (*.f64 n #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 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (-.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) (*.f64 n i) (*.f64 n #s(literal 100 binary64))))) |
(*.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))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) 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))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) (*.f64 n i) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64))))) |
(*.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) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx (* (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i)))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx (/ (* (pow (+ (/ i n) 1) n) n) i) (/.f64 n i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 (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)) i)) n) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 #s(approx (+ (* 25/6 i) 50/3) (*.f64 (+.f64 (/.f64 #s(literal 50/3 binary64) i) #s(literal 25/6 binary64)) i)) i #s(literal 50 binary64))) i)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) (/.f64 n i)) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (/.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i #s(literal 0 binary64)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ -1 i) n) (/ (* (pow (+ (/ i n) 1) n) 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 #s(literal 0 binary64)) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 #s(approx (* n (+ (* 25/6 i) 50/3)) (*.f64 (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n)) i)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 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))) (/.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))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (/.f64 (fma.f64 #s(literal 625/36 binary64) (*.f64 i i) #s(literal -2500/9 binary64)) (fma.f64 #s(literal 25/6 binary64) i #s(literal -50/3 binary64))) i #s(literal 50 binary64))) i)))) |
(*.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 (/ (- (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)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 625/36 binary64) (*.f64 i i)) (fma.f64 #s(literal 25/6 binary64) i #s(literal -50/3 binary64))) (/.f64 #s(literal 2500/9 binary64) (fma.f64 #s(literal 25/6 binary64) i #s(literal -50/3 binary64)))) i #s(literal 50 binary64))) i)))) |
(*.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 #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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n)) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) 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))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n)) |
1 calls:
| 12.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.6% | 3 | n |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) #s(approx (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i) (*.f64 (*.f64 #s(literal 50 binary64) i) n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 i (*.f64 (*.f64 i i) (*.f64 #s(literal 25/6 binary64) n)))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 i i) (*.f64 (*.f64 #s(literal 25/6 binary64) i) n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) n) i)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.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 (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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 (*.f64 (*.f64 i i) #s(literal 25/6 binary64)) n)) i (*.f64 n #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 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (-.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) (*.f64 n i) (*.f64 n #s(literal 100 binary64))))) |
(*.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))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) 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))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) (*.f64 n i) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64))))) |
(*.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) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx (* (/ (pow (+ (/ i n) 1) n) i) n) (/.f64 n i)))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n #s(approx (/ (* (pow (+ (/ i n) 1) n) n) i) (/.f64 n i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 (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)) i)) n) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 #s(approx (+ (* 25/6 i) 50/3) (*.f64 (+.f64 (/.f64 #s(literal 50/3 binary64) i) #s(literal 25/6 binary64)) i)) i #s(literal 50 binary64))) i)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (*.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) (/.f64 n i)) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (/.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i #s(literal 0 binary64)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (/ -1 i) n) (/ (* (pow (+ (/ i n) 1) n) 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 #s(literal 0 binary64)) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 #s(approx (* n (+ (* 25/6 i) 50/3)) (*.f64 (fma.f64 (/.f64 n i) #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) n)) i)) i (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 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))) (/.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))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (/.f64 (fma.f64 #s(literal 625/36 binary64) (*.f64 i i) #s(literal -2500/9 binary64)) (fma.f64 #s(literal 25/6 binary64) i #s(literal -50/3 binary64))) i #s(literal 50 binary64))) i)))) |
(*.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 (/ (- (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)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 625/36 binary64) (*.f64 i i)) (fma.f64 #s(literal 25/6 binary64) i #s(literal -50/3 binary64))) (/.f64 #s(literal 2500/9 binary64) (fma.f64 #s(literal 25/6 binary64) i #s(literal -50/3 binary64)))) i #s(literal 50 binary64))) i)))) |
(*.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 #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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 25/6 binary64))))) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)))) |
(*.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)) |
4 calls:
| 11.0ms | n |
| 11.0ms | i |
| 10.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.3% | 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))) |
| 59.3% | 1 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 71.4% | 4 | i |
| 70.3% | 3 | n |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) #s(approx (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i) (*.f64 (*.f64 #s(literal 50 binary64) i) n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 i (*.f64 (*.f64 i i) (*.f64 #s(literal 25/6 binary64) n)))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 i i) (*.f64 (*.f64 #s(literal 25/6 binary64) i) n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) n) i)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.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 (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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 (*.f64 (*.f64 i i) #s(literal 25/6 binary64)) n)) i (*.f64 n #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 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (-.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64)) (*.f64 n i) (*.f64 n #s(literal 100 binary64))))) |
(*.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 |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) |
#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 |
|---|---|---|
| 70.3% | 3 | n |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) #s(approx (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i) (*.f64 (*.f64 #s(literal 50 binary64) i) n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 i (*.f64 (*.f64 i i) (*.f64 #s(literal 25/6 binary64) n)))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 i i) (*.f64 (*.f64 #s(literal 25/6 binary64) i) n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) n) i)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.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 (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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 (*.f64 (*.f64 i i) #s(literal 25/6 binary64)) n)) i (*.f64 n #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 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (-.f64 #s(approx (pow (+ (/ i n) 1) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64))) |
| Outputs |
|---|
#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))) #s(literal 0 binary64)) |
#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:
| 5.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.3% | 3 | n |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) #s(approx (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i) (*.f64 (*.f64 #s(literal 50 binary64) i) n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 i (*.f64 (*.f64 i i) (*.f64 #s(literal 25/6 binary64) n)))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 i i) (*.f64 (*.f64 #s(literal 25/6 binary64) i) n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) n) i)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #s(literal 0 binary64))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64))))) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 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)) |
2 calls:
| 4.0ms | n |
| 4.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.3% | 3 | i |
| 69.1% | 3 | n |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) #s(approx (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i) (*.f64 (*.f64 #s(literal 50 binary64) i) n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 i (*.f64 (*.f64 i i) (*.f64 #s(literal 25/6 binary64) n)))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) #s(approx (+ (* (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) i) (* n 100)) (*.f64 (*.f64 i i) (*.f64 (*.f64 #s(literal 25/6 binary64) i) n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(approx (* (- (exp i) 1) 100) (*.f64 i #s(literal 100 binary64))) n) i)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i #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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 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)) |
1 calls:
| 4.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.1% | 3 | n |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.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))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) #s(approx (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i) (*.f64 (*.f64 #s(literal 50 binary64) i) n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 #s(approx (+ (* (* n (+ (* 25/6 i) 50/3)) i) (* 50 n)) (*.f64 #s(literal 50 binary64) n)) i (*.f64 n #s(literal 100 binary64))))) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) #s(approx (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i) (*.f64 (*.f64 #s(literal 50 binary64) i) n))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 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)) |
2 calls:
| 2.0ms | n |
| 2.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.0% | 3 | i |
| 66.1% | 3 | n |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.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)) |
| 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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 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)) |
1 calls:
| 2.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.1% | 3 | n |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/.f64 #s(literal 0 binary64) i)) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 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))) #s(literal 0 binary64)) |
2 calls:
| 2.0ms | i |
| 2.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.9% | 3 | i |
| 62.6% | 3 | n |
Compiled 2 to 4 computations (-100% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) |
4 calls:
| 1.0ms | n |
| 1.0ms | i |
| 1.0ms | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 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 |
|---|---|---|
| 19.0% | 1 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 19.0% | 1 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 19.0% | 1 | n |
| 19.0% | 1 | i |
Compiled 30 to 22 computations (26.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 0.0 | 1.643605081420237e-194 |
Compiled 18 to 15 computations (16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 2.6049762579212204e-115 | 2.809571876268054e-114 |
| 39.0ms | 3.619195140097706e-302 | 1.400818386338636e-284 |
| 23.0ms | 77× | 2 | valid |
| 13.0ms | 96× | 1 | valid |
| 11.0ms | 191× | 0 | invalid |
| 7.0ms | 11× | 3 | valid |
| 4.0ms | 72× | 0 | valid |
Compiled 770 to 559 computations (27.4% saved)
ival-pow: 18.0ms (40.3% of total)ival-div: 10.0ms (22.4% of total)adjust: 5.0ms (11.2% of total)ival-mult: 4.0ms (9% of total)ival-add: 3.0ms (6.7% of total)ival-sub: 3.0ms (6.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.6049762579212204e-115 | 2.809571876268054e-114 |
| 1.0ms | 3.619195140097706e-302 | 1.400818386338636e-284 |
Compiled 802 to 591 computations (26.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.6049762579212204e-115 | 2.809571876268054e-114 |
| 1.0ms | 3.619195140097706e-302 | 1.400818386338636e-284 |
Compiled 866 to 607 computations (29.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 2.6049762579212204e-115 | 2.809571876268054e-114 |
| 45.0ms | -7.031849989324757e-162 | -4.318360162078216e-167 |
| 20.0ms | 57× | 2 | valid |
| 13.0ms | 78× | 1 | valid |
| 5.0ms | 91× | 0 | invalid |
| 4.0ms | 6× | 3 | valid |
| 2.0ms | 35× | 0 | valid |
Compiled 633 to 480 computations (24.2% saved)
ival-pow: 18.0ms (50.5% of total)ival-div: 6.0ms (16.8% of total)adjust: 4.0ms (11.2% of total)ival-add: 2.0ms (5.6% of total)ival-sub: 2.0ms (5.6% of total)ival-mult: 2.0ms (5.6% 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 | 2.6049762579212204e-115 | 2.809571876268054e-114 |
| 1.0ms | -7.031849989324757e-162 | -4.318360162078216e-167 |
Compiled 633 to 480 computations (24.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.6049762579212204e-115 | 2.809571876268054e-114 |
| 49.0ms | -2.902758072853849e-144 | -1.2217438855497587e-151 |
| 24.0ms | 61× | 2 | valid |
| 12.0ms | 68× | 1 | valid |
| 5.0ms | 90× | 0 | invalid |
| 1.0ms | 15× | 0 | valid |
Compiled 864 to 618 computations (28.5% saved)
ival-pow: 16.0ms (50.5% of total)ival-div: 6.0ms (18.9% of total)adjust: 4.0ms (12.6% of total)ival-add: 2.0ms (6.3% of total)ival-mult: 2.0ms (6.3% of total)ival-sub: 2.0ms (6.3% 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 | 2.6049762579212204e-115 | 2.809571876268054e-114 |
| 1.0ms | -2.902758072853849e-144 | -1.2217438855497587e-151 |
Compiled 864 to 603 computations (30.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.6049762579212204e-115 | 2.809571876268054e-114 |
| 1.0ms | -2.902758072853849e-144 | -1.2217438855497587e-151 |
Compiled 828 to 585 computations (29.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.6049762579212204e-115 | 2.809571876268054e-114 |
| 1.0ms | -2.902758072853849e-144 | -1.2217438855497587e-151 |
Compiled 819 to 573 computations (30% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.6049762579212204e-115 | 2.809571876268054e-114 |
| 1.0ms | -2.902758072853849e-144 | -1.2217438855497587e-151 |
Compiled 783 to 555 computations (29.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.6049762579212204e-115 | 2.809571876268054e-114 |
| 1.0ms | -2.902758072853849e-144 | -1.2217438855497587e-151 |
Compiled 900 to 633 computations (29.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.6049762579212204e-115 | 2.809571876268054e-114 |
| 1.0ms | -2.902758072853849e-144 | -1.2217438855497587e-151 |
Compiled 738 to 525 computations (28.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 4.1864332784485964e-13 | 8.157812925593172e-12 |
| 26.0ms | -1.1503454057813728e-9 | -1.2149382301048e-10 |
| 48.0ms | 206× | 1 | valid |
| 3.0ms | 56× | 0 | invalid |
| 0.0ms | 2× | 0 | valid |
Compiled 486 to 366 computations (24.7% saved)
ival-pow: 25.0ms (57.8% of total)ival-div: 7.0ms (16.2% of total)adjust: 4.0ms (9.2% of total)ival-add: 2.0ms (4.6% of total)ival-sub: 2.0ms (4.6% of total)ival-mult: 2.0ms (4.6% 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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 153 | 1006 |
| 1 | 214 | 1006 |
| 2 | 306 | 1006 |
| 3 | 527 | 1006 |
| 4 | 1024 | 1006 |
| 5 | 1951 | 1006 |
| 6 | 3173 | 1006 |
| 7 | 5340 | 1006 |
| 8 | 6977 | 1006 |
| 1× | node limit |
| 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 0 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) 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) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) i))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)))) |
(if (<=.f64 n #s(literal 3570977865395781/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 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 4658085086122969/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (*.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))) #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 3570977865395781/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 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 4658085086122969/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (*.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))) #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 3570977865395781/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 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 4658085086122969/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) #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 (expm1.f64 i) i) #s(literal 100 binary64)) n)))) |
(if (<=.f64 n #s(literal -2921258960492219/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016 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 3881737571769141/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 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 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)))) |
(if (<=.f64 n #s(literal -2921258960492219/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n)) (if (<=.f64 n #s(literal 3881737571769141/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 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 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)) n)))) |
(if (<=.f64 n #s(literal -3714994261933705/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)))) (if (<=.f64 n #s(literal 3881737571769141/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 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 -3714994261933705/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)) i #s(literal 50 binary64))) i)))) (if (<=.f64 n #s(literal 3881737571769141/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) #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 -3714994261933705/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) #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 3881737571769141/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) #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 -3714994261933705/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) i (*.f64 n #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 3881737571769141/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 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 -3714994261933705/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 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 3881737571769141/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 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 -3714994261933705/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) #s(approx (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i) (*.f64 (*.f64 #s(literal 50 binary64) i) n))))) (if (<=.f64 n #s(literal 3881737571769141/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 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 -3714994261933705/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 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 3881737571769141/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 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 i #s(literal -2780529385113647/2417851639229258349412352 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) (if (<=.f64 i #s(literal 4951760157141521/618970019642690137449562112 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))) #s(literal 0 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) |
| 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 0 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) 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) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) n) i))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)))) |
(if (<=.f64 n #s(literal 3570977865395781/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 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 4658085086122969/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (*.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))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)))) |
(if (or (<=.f64 n #s(literal 3570977865395781/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (not (<=.f64 n #s(literal 4658085086122969/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)))) #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) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))) |
(if (<=.f64 n #s(literal 3570977865395781/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 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 4658085086122969/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (*.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))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)))) |
(if (or (<=.f64 n #s(literal 3570977865395781/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (not (<=.f64 n #s(literal 4658085086122969/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)))) #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 n i) #s(literal 100 binary64)) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)))) |
(if (<=.f64 n #s(literal 3570977865395781/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 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 4658085086122969/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) #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 (expm1.f64 i) i) #s(literal 100 binary64)) n)))) |
(if (or (<=.f64 n #s(literal 3570977865395781/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (not (<=.f64 n #s(literal 4658085086122969/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)))) #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 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))) |
(if (<=.f64 n #s(literal -2921258960492219/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016 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 3881737571769141/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 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 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)))) |
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(if (or (<=.f64 n #s(literal -3714994261933705/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (not (<=.f64 n #s(literal 3881737571769141/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)))) #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))) #s(literal 0 binary64))) |
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(if (or (<=.f64 n #s(literal -3714994261933705/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (not (<=.f64 n #s(literal 3881737571769141/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))) |
(if (<=.f64 n #s(literal -3714994261933705/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* (/ (- (exp i) 1) i) 100) n) (fma.f64 n #s(literal 100 binary64) #s(approx (* (* n (+ (* (+ (* 25/6 i) 50/3) i) 50)) i) (*.f64 (*.f64 #s(literal 50 binary64) i) n))))) (if (<=.f64 n #s(literal 3881737571769141/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 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 -3714994261933705/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 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 3881737571769141/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 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 (or (<=.f64 n #s(literal -3714994261933705/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (not (<=.f64 n #s(literal 3881737571769141/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 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)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64))) |
(if (<=.f64 i #s(literal -2780529385113647/2417851639229258349412352 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) (if (<=.f64 i #s(literal 4951760157141521/618970019642690137449562112 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))) #s(literal 0 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(literal 0 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 254 |
| 0 | 81 | 243 |
| 1 | 329 | 237 |
| 2 | 2361 | 237 |
| 0 | 8474 | 221 |
| 0 | 10 | 44 |
| 0 | 16 | 44 |
| 1 | 73 | 44 |
| 2 | 570 | 44 |
| 3 | 7363 | 44 |
| 0 | 8678 | 38 |
| 0 | 984 | 7922 |
| 1 | 3095 | 7236 |
| 0 | 8517 | 6702 |
| 0 | 756 | 6207 |
| 1 | 2444 | 5629 |
| 0 | 8143 | 5225 |
| 0 | 515 | 3778 |
| 1 | 1624 | 3436 |
| 2 | 5565 | 3189 |
| 0 | 8138 | 2913 |
| 0 | 46 | 279 |
| 0 | 82 | 273 |
| 1 | 331 | 261 |
| 2 | 2657 | 253 |
| 0 | 9845 | 253 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 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 |
Compiled 1 830 to 763 computations (58.3% saved)
Compiled 2 154 to 362 computations (83.2% saved)
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