
Time bar (total: 13.2s)
| 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)
| 1.5s | 4 467× | 1 | valid |
| 1.1s | 1 685× | 2 | valid |
| 167.0ms | 2 042× | 0 | valid |
| 165.0ms | 2 038× | 0 | invalid |
| 93.0ms | 62× | 3 | valid |
| 2.0ms | 18× | 1 | exit |
ival-pow: 1.6s (62.8% of total)ival-div: 326.0ms (12.8% of total)adjust: 206.0ms (8.1% of total)ival-sub: 171.0ms (6.7% of total)ival-add: 113.0ms (4.4% of total)ival-mult: 107.0ms (4.2% of total)exact: 10.0ms (0.4% of total)ival-true: 9.0ms (0.4% of total)ival-assert: 5.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 164 | 1 | (3.4345234866124186e+44 4.1644300845181954e-5) | 1 | (0.010401383723295654 -7.902131279526038e+67) | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) |
| 65 | 76 | (-2.544536717720076e-114 1.0858225612765066e+26) | 0 | - | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) |
| 41 | 0 | - | 4 | (-5.130885013267202e-234 -1.3467196593440032e+78) | (/.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 | 164 | 1 |
pow.f64 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | sensitivity | 124 | 0 |
/.f64 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) | n/u | 37 | 0 |
| ↳ | (/.f64 i n) | underflow | 37 | |
pow.f64 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | oflow-rescue | 17 | 0 |
| ↳ | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | overflow | 47 | |
| ↳ | (/.f64 i n) | overflow | 17 | |
| ↳ | (+.f64 #s(literal 1 binary64) (/.f64 i n)) | overflow | 17 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 185 | 0 |
| - | 23 | 48 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 185 | 0 | 0 |
| - | 23 | 0 | 48 |
| number | freq |
|---|---|
| 0 | 48 |
| 1 | 111 |
| 2 | 60 |
| 3 | 37 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 201.0ms | 278× | 1 | valid |
| 52.0ms | 120× | 2 | valid |
| 10.0ms | 110× | 0 | valid |
| 3.0ms | 4× | 3 | valid |
Compiled 133 to 34 computations (74.4% saved)
ival-pow: 76.0ms (63.9% of total)ival-div: 15.0ms (12.6% of total)adjust: 11.0ms (9.2% of total)ival-mult: 6.0ms (5% of total)ival-sub: 5.0ms (4.2% of total)ival-add: 5.0ms (4.2% of total)ival-true: 1.0ms (0.8% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 792× | lower-fma.f64 |
| 1 792× | lower-fma.f32 |
| 1 490× | div-sub |
| 1 136× | lower-*.f32 |
| 1 134× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 85 |
| 1 | 82 | 81 |
| 2 | 242 | 77 |
| 3 | 934 | 77 |
| 4 | 3832 | 77 |
| 5 | 6014 | 77 |
| 0 | 10 | 15 |
| 0 | 16 | 15 |
| 1 | 30 | 15 |
| 2 | 56 | 15 |
| 3 | 104 | 15 |
| 4 | 203 | 15 |
| 5 | 469 | 15 |
| 6 | 779 | 15 |
| 7 | 1236 | 15 |
| 8 | 1979 | 15 |
| 9 | 2834 | 15 |
| 10 | 3306 | 15 |
| 11 | 3447 | 15 |
| 12 | 3457 | 15 |
| 13 | 3458 | 15 |
| 14 | 3458 | 15 |
| 15 | 3478 | 15 |
| 16 | 3486 | 15 |
| 17 | 3486 | 15 |
| 0 | 3486 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| Outputs |
|---|
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 (/.f64 n i) (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64))) |
Compiled 17 to 10 computations (41.2% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 29.9% | (*.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 17 to 10 computations (41.2% 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)) |
| 1 792× | lower-fma.f64 |
| 1 792× | lower-fma.f32 |
| 1 136× | lower-*.f32 |
| 1 134× | lower-*.f64 |
| 654× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 56 |
| 0 | 16 | 56 |
| 1 | 30 | 56 |
| 2 | 56 | 56 |
| 3 | 104 | 56 |
| 4 | 203 | 56 |
| 5 | 469 | 56 |
| 6 | 779 | 56 |
| 7 | 1236 | 56 |
| 8 | 1979 | 56 |
| 9 | 2834 | 56 |
| 10 | 3306 | 56 |
| 11 | 3447 | 56 |
| 12 | 3457 | 56 |
| 13 | 3458 | 56 |
| 14 | 3458 | 56 |
| 15 | 3478 | 56 |
| 16 | 3486 | 56 |
| 17 | 3486 | 56 |
| 0 | 3486 | 55 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
#s(literal 100 binary64) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) |
(+.f64 #s(literal 1 binary64) (/.f64 i n)) |
#s(literal 1 binary64) |
(/.f64 i n) |
i |
n |
| Outputs |
|---|
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 (/.f64 n i) (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64))) |
#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 (fma.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (neg.f64 n)) i) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) |
(+.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 |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08984375 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) | |
| accuracy | 9.058033617192109 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) | |
| accuracy | 15.060510950367775 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | |
| accuracy | 37.49819546770355 | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) |
| 101.0ms | 139× | 1 | valid |
| 24.0ms | 60× | 2 | valid |
| 5.0ms | 55× | 0 | valid |
| 2.0ms | 2× | 3 | valid |
Compiled 58 to 12 computations (79.3% saved)
ival-pow: 93.0ms (80.9% of total)ival-div: 8.0ms (7% of total)adjust: 5.0ms (4.4% of total)ival-sub: 3.0ms (2.6% of total)ival-add: 3.0ms (2.6% of total)ival-mult: 3.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ()) |
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt n (taylor 0 i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ()) |
#s(alt (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (taylor 0 i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ()) |
#s(alt (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 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))))))) (taylor 0 i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i) (taylor inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 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) (taylor inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 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) (taylor inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 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) (taylor inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i) (taylor -inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ()) |
#s(alt (* -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)) (taylor -inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ()) |
#s(alt (* -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)) (taylor -inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ()) |
#s(alt (* -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)) (taylor -inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i) (taylor 0 n) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ()) |
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24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | n | @ | 0 | (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) |
| 2.0ms | i | @ | inf | (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) |
| 2.0ms | i | @ | -inf | (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) |
| 2.0ms | n | @ | inf | (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) |
| 1.0ms | i | @ | 0 | (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) |
| 1× | egg-herbie |
| 11 188× | lower-fma.f64 |
| 11 188× | lower-fma.f32 |
| 6 726× | lower-*.f64 |
| 6 726× | lower-*.f32 |
| 3 544× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 515 | 3831 |
| 1 | 1624 | 3489 |
| 2 | 5523 | 3268 |
| 0 | 8137 | 2980 |
| 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))))))) |
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i) |
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i) |
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (* n (- (exp (* n (+ (log (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)) |
(/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(/ (* n (- (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))) |
(/ (* n (- (exp i) 1)) i) |
(* -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))))) |
(* 100 n) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))) |
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
(* 100 (/ (* 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 (* 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)) |
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)) |
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i)))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))))))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))))))))) |
(* 100 (/ (* n (- (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)))))) |
(* 100 (/ (* n (- (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))))) |
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)))))) |
(- (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 (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) |
(* 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))))))) |
(- (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) 1) |
(- (+ (exp i) (* -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))) 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 |
(+ 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))))))) |
(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)))) |
(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))) |
1 |
(+ 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)))))))) |
(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))))) |
(exp i) |
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(+ (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 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 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 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.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 i (fma.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (*.f64 n i) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) n) |
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i) |
(*.f64 (fma.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n) #s(literal -1 binary64)) (/.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 (*.f64 n (fma.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (/.f64 (*.f64 n n) i) (fma.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n) #s(literal -1 binary64)))) 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) |
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(/ (+ (* 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) |
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(*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) |
(fma.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (/.f64 (*.f64 n n) i) (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i 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))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) i) (fma.f64 n n (/.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) i)) (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i 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)))) |
(fma.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (+.f64 (/.f64 (*.f64 n n) i) (+.f64 (/.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64))))) (*.f64 i (*.f64 i i))))) (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n))) |
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n)) |
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) |
(fma.f64 (*.f64 n n) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n)) i) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n))) |
(+ (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))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n)) (fma.f64 n n (/.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) 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))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (/.f64 (fma.f64 n (*.f64 n (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n))) (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n)) (+.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/6 binary64)))) (neg.f64 i)))) i)) i)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* n (+ (log i) (* -1 (log n))))) |
(fma.f64 n (-.f64 (log.f64 i) (log.f64 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 n (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 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 n (fma.f64 n (fma.f64 n (+.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i))) (-.f64 (log.f64 i) (log.f64 n))) #s(literal 1 binary64)) |
(exp i) |
(exp.f64 i) |
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (*.f64 i (exp.f64 i))) n) (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 (exp.f64 i) (/.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (*.f64 n n)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (*.f64 i (exp.f64 i))) 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))))) |
(fma.f64 (exp.f64 i) (+.f64 (/.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (*.f64 n n)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (*.f64 n (*.f64 n n)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (*.f64 i (exp.f64 i))) n) (exp.f64 i))) |
(exp i) |
(exp.f64 i) |
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (*.f64 i (exp.f64 i))) n) (exp.f64 i)) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(-.f64 (exp.f64 i) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/2 binary64) (*.f64 i i) (/.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (neg.f64 n)))) n)) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(-.f64 (exp.f64 i) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i (*.f64 i (exp.f64 i)))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (/.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) (neg.f64 n)))) n)) n)) |
| 4 646× | lower-fma.f64 |
| 4 646× | lower-fma.f32 |
| 3 878× | lower-*.f32 |
| 3 876× | lower-*.f64 |
| 3 404× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 44 |
| 0 | 16 | 44 |
| 1 | 73 | 44 |
| 2 | 570 | 44 |
| 3 | 7354 | 44 |
| 0 | 8669 | 38 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 (neg.f64 n) i)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (*.f64 (/.f64 n i) #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64))) |
(+.f64 (/.f64 (neg.f64 n) i) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)) |
(+.f64 (*.f64 (/.f64 n i) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)) |
(exp.f64 (*.f64 (log.f64 (/.f64 i (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 n i))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n))))) (/.f64 i n)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n))))) (/.f64 i n))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (/.f64 i n)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (/.f64 i n))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 i (neg.f64 n))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 n i))) |
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n))))) n)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n))))) n))) |
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (/.f64 (fma.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n))) |
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n) (*.f64 i (/.f64 i (*.f64 n n)))) (/.f64 (/.f64 i n) (*.f64 i (/.f64 i (*.f64 n n))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i)))) (fma.f64 (/.f64 n i) (*.f64 (/.f64 n i) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (/.f64 (/.f64 (*.f64 n n) i) i)))) (/.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i))) (fma.f64 (/.f64 n i) (*.f64 (/.f64 n i) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (/.f64 (/.f64 (*.f64 n n) i) i))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (/.f64 (/.f64 (*.f64 n n) i) i)) (*.f64 (/.f64 n i) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (/.f64 (/.f64 (/.f64 (*.f64 n n) i) i) (*.f64 (/.f64 n i) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 (neg.f64 n) i)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (*.f64 (/.f64 n i) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) i) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)) |
(fma.f64 n (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 (neg.f64 n) i)) |
(fma.f64 n (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 (/.f64 n i) #s(literal -1 binary64))) |
(fma.f64 n (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64))) |
(fma.f64 n (/.f64 #s(literal -1 binary64) i) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i) (/.f64 (neg.f64 n) i)) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i) (*.f64 (/.f64 n i) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)) |
(fma.f64 (neg.f64 n) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)) (/.f64 (neg.f64 n) i)) |
(fma.f64 (neg.f64 n) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)) (*.f64 (/.f64 n i) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 n) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 1 binary64) (/.f64 (neg.f64 n) i)) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64))) |
(fma.f64 (/.f64 n i) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (neg.f64 n) i)) |
(fma.f64 (/.f64 n i) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal -1 binary64))) |
(fma.f64 (/.f64 n i) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64))) |
(fma.f64 (/.f64 n i) #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)) |
(fma.f64 #s(literal -1 binary64) (/.f64 n i) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (/.f64 n i)) (/.f64 (neg.f64 n) i)) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (/.f64 n i)) (*.f64 (/.f64 n i) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (/.f64 n i)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 (neg.f64 n) i) (/.f64 (neg.f64 n) i)) |
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(fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 (neg.f64 n) i) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64))) |
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(*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n))))) #s(literal 1 binary64))) |
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n))))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) |
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) |
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))) |
(*.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n))))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n))))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal -1 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 (+.f64 n n) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 #s(literal 2 binary64) (+.f64 n n))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 #s(literal 2 binary64) (+.f64 n n))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) |
(exp.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n)))) (*.f64 n #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)) (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) |
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) |
(/.f64 (neg.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) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n))) (*.f64 n #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/4 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64))) n)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 i (/.f64 i (*.f64 n n)))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) n)) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/4 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/4 binary64)))) |
Compiled 18 586 to 2 039 computations (89% saved)
28 alts after pruning (28 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 564 | 28 | 592 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 565 | 28 | 593 |
| Status | Accuracy | Program |
|---|---|---|
| 24.7% | (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) | |
| 29.9% | (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n)) | |
| ▶ | 30.3% | (/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) |
| 30.0% | (+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) | |
| 30.3% | (*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) | |
| 30.3% | (*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))) | |
| 25.3% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i))) | |
| 25.9% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))) | |
| ▶ | 25.3% | (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) |
| 29.4% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) n))) | |
| 16.4% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) | |
| 15.5% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) | |
| 15.4% | (*.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))) | |
| ▶ | 74.0% | (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) |
| ▶ | 40.8% | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n))) |
| 42.2% | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n))) | |
| 11.5% | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n))) | |
| 62.3% | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))) | |
| 30.0% | (*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) 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 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n))) | |
| 54.7% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n))) | |
| 73.0% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))) | |
| 63.9% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (fma.f64 i (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (/.f64 (expm1.f64 i) i))))) | |
| 72.9% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)) | |
| 12.4% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)) | |
| 19.5% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (fma.f64 n (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i (*.f64 i i))) (+.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 4 binary64)) (/.f64 #s(literal 1/24 binary64) i) (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 i i)) (/.f64 #s(literal 1/2 binary64) (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 4 binary64))))) (+.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) i) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i))) (/.f64 #s(literal -1/2 binary64) (*.f64 i (*.f64 i i)))))) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) #s(literal 50 binary64) (/.f64 #s(literal 100 binary64) (*.f64 i i)))) (/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64)) i)))) | |
| 12.9% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 n (+.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) i) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i))) (/.f64 #s(literal -1/2 binary64) (*.f64 i (*.f64 i i)))) (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))) | |
| ▶ | 46.4% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) |
Compiled 1 312 to 748 computations (43% saved)
| 1× | egg-herbie |
Found 18 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) n) | |
| cost-diff | 128 | (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) | |
| cost-diff | 1024 | (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)) | |
| cost-diff | 0 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | |
| cost-diff | 0 | (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) | |
| cost-diff | 0 | #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) | |
| cost-diff | 0 | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n))) | |
| cost-diff | 384 | (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)) | |
| cost-diff | 512 | (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) | |
| cost-diff | 0 | (*.f64 n #s(literal 100 binary64)) | |
| cost-diff | 0 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) | |
| cost-diff | 0 | (*.f64 n (log1p.f64 (/.f64 i n))) | |
| cost-diff | 128 | (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) | |
| cost-diff | 384 | (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) | |
| cost-diff | 6272 | (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) |
| 15 808× | lower-fma.f32 |
| 15 800× | lower-fma.f64 |
| 3 776× | lower-*.f32 |
| 3 760× | lower-*.f64 |
| 2 716× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 398 |
| 0 | 83 | 385 |
| 1 | 164 | 375 |
| 2 | 381 | 375 |
| 3 | 1001 | 375 |
| 4 | 2844 | 375 |
| 5 | 5457 | 375 |
| 0 | 8298 | 370 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) |
#s(literal 100 binary64) |
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) |
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) |
(*.f64 n (log1p.f64 (/.f64 i n))) |
n |
(log1p.f64 (/.f64 i n)) |
(/.f64 i n) |
i |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) |
(*.f64 n #s(literal 100 binary64)) |
n |
#s(literal 100 binary64) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n))) |
#s(literal 100 binary64) |
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)) |
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) |
(fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) |
(*.f64 i i) |
i |
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
#s(literal 1/3 binary64) |
(*.f64 n n) |
n |
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) 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)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/2 binary64) n) |
(/.f64 i n) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) |
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 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 |
#s(literal 100 binary64) |
#s(literal -100 binary64) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) |
#s(literal 100 binary64) |
(fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) |
(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 |
(/.f64 #s(literal 1 binary64) i) |
(/.f64 (neg.f64 n) i) |
(neg.f64 n) |
| Outputs |
|---|
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) |
(/.f64 (*.f64 n (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64))) i) |
#s(literal 100 binary64) |
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) |
(/.f64 (fma.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n)) i) |
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) |
(+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) |
(*.f64 n (log1p.f64 (/.f64 i n))) |
n |
(log1p.f64 (/.f64 i n)) |
(/.f64 i n) |
i |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 n #s(literal 100 binary64)) |
(*.f64 #s(literal 100 binary64) n) |
n |
#s(literal 100 binary64) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n))) |
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 #s(literal -1 binary64) i) #s(literal 1/2 binary64))) i)) (/.f64 (*.f64 #s(literal 100 binary64) n) i)) |
#s(literal 100 binary64) |
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)) |
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 #s(literal -1 binary64) i) #s(literal 1/2 binary64))) i)) (/.f64 n i)) |
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) |
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 #s(literal -1 binary64) i) #s(literal 1/2 binary64))) i)) |
(fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) |
(fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 #s(literal -1 binary64) i) #s(literal 1/2 binary64))) i) |
(*.f64 i i) |
i |
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) |
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 #s(literal -1 binary64) i) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
#s(literal 1/3 binary64) |
(*.f64 n n) |
n |
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) 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 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/2 binary64) n) |
(/.f64 i n) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) |
(/.f64 (*.f64 n (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64))) i) |
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) |
(*.f64 n (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64))) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) |
(fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 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 |
#s(literal 100 binary64) |
#s(literal -100 binary64) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) |
(/.f64 (*.f64 n (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64))) i) |
#s(literal 100 binary64) |
(fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)) |
(/.f64 (fma.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n)) i) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) |
(*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) |
(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 |
(/.f64 #s(literal 1 binary64) i) |
(/.f64 (neg.f64 n) i) |
(/.f64 n (neg.f64 i)) |
(neg.f64 n) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) | |
| accuracy | 0.07421875 | (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) | |
| accuracy | 15.060510950367782 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | |
| accuracy | 32.678623577004466 | (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)) | |
| accuracy | 0.12109375 | (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) | |
| accuracy | 3.966806061155916 | (/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) | |
| accuracy | 15.060510950367782 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | |
| accuracy | 36.591718306457956 | (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) | |
| accuracy | 1.9577932927775172 | (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) | |
| accuracy | 3.033665132251073 | (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) | |
| accuracy | 8.895152262117168 | (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)) | |
| accuracy | 24.191651807386798 | #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) | |
| accuracy | 0 | (*.f64 n #s(literal 100 binary64)) | |
| accuracy | 30.099608834131743 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) | |
| accuracy | 0.07421875 | (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) | |
| accuracy | 4.12798293834592 | (log1p.f64 (/.f64 i n)) | |
| accuracy | 8.895152262117168 | (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) | |
| accuracy | 8.949173786957147 | (*.f64 n (log1p.f64 (/.f64 i n))) |
| 238.0ms | 137× | 1 | valid |
| 95.0ms | 60× | 2 | valid |
| 12.0ms | 37× | 0 | valid |
| 12.0ms | 3× | 5 | exit |
| 6.0ms | 17× | 0 | invalid |
| 2.0ms | 1× | 3 | valid |
| 0.0ms | 1× | 1 | exit |
Compiled 348 to 46 computations (86.8% saved)
ival-pow: 78.0ms (36.1% of total)ival-div: 41.0ms (19% of total)ival-mult: 33.0ms (15.3% of total)adjust: 19.0ms (8.8% of total)ival-add: 14.0ms (6.5% of total)const: 12.0ms (5.6% of total)ival-log1p: 7.0ms (3.2% of total)ival-sub: 5.0ms (2.3% of total)ival-expm1: 4.0ms (1.9% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) (patch (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) #<representation binary64>) () ()) |
#s(alt (*.f64 n (log1p.f64 (/.f64 i n))) (patch (*.f64 n (log1p.f64 (/.f64 i n))) #<representation binary64>) () ()) |
#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 n #s(literal 100 binary64)) (patch (*.f64 n #s(literal 100 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (patch (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)) (patch (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n))) (patch (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (patch #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) (patch (/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) (patch (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (patch (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)) (patch (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) (patch (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (patch (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) #<representation binary64>) () ()) |
#s(alt (log1p.f64 (/.f64 i n)) (patch (log1p.f64 (/.f64 i n)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (patch (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* n (+ (log i) (* -1 (log n)))) (taylor 0 n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ()) |
#s(alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))) (taylor 0 n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ()) |
#s(alt (* 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))))))) (taylor 0 n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ()) |
#s(alt (* 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))))))) (taylor 0 n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp i) 1) (taylor inf n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1) (taylor inf n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (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) (taylor inf n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (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) (taylor inf n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp i) 1) (taylor -inf n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1) (taylor -inf n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (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) (taylor -inf n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (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) (taylor -inf n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ()) |
#s(alt i (taylor 0 i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ()) |
#s(alt (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))) (taylor 0 i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ()) |
#s(alt (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) (taylor 0 i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ()) |
#s(alt (* 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)))))) (taylor 0 i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) (taylor inf i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) (taylor inf i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (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) (taylor inf i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (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) (taylor inf i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1) (taylor -inf i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (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) (taylor -inf i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (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) (taylor -inf i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (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) (taylor -inf i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i) (taylor 0 n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ()) |
#s(alt (* (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)))) (taylor 0 n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ()) |
#s(alt (* (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)))) (taylor 0 n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ()) |
#s(alt (* (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)))) (taylor 0 n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* n (- (exp i) 1)) i) (taylor inf n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ()) |
#s(alt (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))) (taylor inf n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ()) |
#s(alt (* 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))) (taylor inf n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ()) |
#s(alt (* 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))) (taylor inf n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ()) |
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#s(alt (+ i (+ (* -1 (/ (* (pow i 2) (+ 1/2 (* 1/2 i))) n)) (* (pow i 2) (+ 1/2 (* 1/6 i))))) (taylor -inf n) (#s(alt (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (patch (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) #<representation binary64>) () ())) ()) |
#s(alt (+ i (+ (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* (pow i 2) (+ 1/2 (* 1/2 i)))) n)) (* (pow i 2) (+ 1/2 (* 1/6 i))))) (taylor -inf n) (#s(alt (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (patch (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) #<representation binary64>) () ())) ()) |
#s(alt (+ i (+ (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* (pow i 2) (+ 1/2 (* 1/2 i)))) n)) (* (pow i 2) (+ 1/2 (* 1/6 i))))) (taylor -inf n) (#s(alt (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (patch (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) #<representation binary64>) () ())) ()) |
111 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | i | @ | inf | (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) |
| 3.0ms | i | @ | 0 | (/ (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) i) |
| 2.0ms | i | @ | -inf | (* (pow (+ 1 (/ i n)) n) n) |
| 1.0ms | i | @ | 0 | (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) |
| 1.0ms | i | @ | -inf | (/ (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) i) |
| 1× | egg-herbie |
| 8 430× | lower-fma.f64 |
| 8 430× | lower-fma.f32 |
| 7 126× | lower-+.f64 |
| 7 126× | lower-+.f32 |
| 6 486× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1164 | 16049 |
| 1 | 3741 | 14760 |
| 0 | 8617 | 13713 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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))))))) |
(- (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) 1) |
(- (+ (exp i) (* -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))) 1) |
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) |
i |
(* 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)))))) |
(- (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 (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) |
(/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(/ (* n (- (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))) |
(/ (* n (- (exp i) 1)) i) |
(* -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))))) |
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))))))) |
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i) |
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i) |
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (* n (- (exp (* n (+ (log (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 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)) |
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i)))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))))))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))))))))) |
(* 100 (/ (* n (- (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)))))) |
(* 100 (/ (* n (- (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))))) |
(* 100 n) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))) |
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
(* 100 (/ (* 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 (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i)) |
(* n (+ (log i) (* -1 (log n)))) |
(* n (+ (log i) (+ (* -1 (log n)) (/ n i)))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i)))))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))) |
i |
(+ i (* -1/2 (/ (pow i 2) n))) |
(+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) |
(+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) |
i |
(+ i (* -1/2 (/ (pow i 2) 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))) |
i |
(* i (+ 1 (* -1/2 (/ i n)))) |
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n)))))) |
(* 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)))) |
(* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))) |
(+ (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))) (/ (pow n 2) i)) |
(+ (* -1 (/ (+ (* -1 (pow n 2)) (* 1/2 (/ (pow n 3) i))) i)) (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) |
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1 |
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(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) |
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1 |
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(exp i) |
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(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) |
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(exp i) |
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(/ (+ n (* -1 n)) i) |
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(/ (+ (* -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) |
(* -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)) |
(* (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)))) |
(* 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))) |
(* -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 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) |
(* 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) |
(* -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)) |
(* 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))))))))))) |
(* 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)))))))) |
(* -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)))))) |
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))))))))) |
(* 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)))) |
(* 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)))))))) |
n |
(* 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 (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)))))) |
(* n (exp i)) |
(* -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))))) |
(/ 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))) |
(+ (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))))) |
(+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))) |
(+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (/ n i))) |
(+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (* -1 (/ (+ (* -1 n) (* 1/2 (/ (pow n 2) i))) i)))) |
(+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (* -1 (/ (+ (* -1 n) (* -1 (/ (+ (* -1/2 (pow n 2)) (* 1/3 (/ (pow n 3) i))) i))) i)))) |
(+ (log i) (* -1 (log n))) |
(+ (log i) (+ (* -1 (log n)) (/ n i))) |
(+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i))))) |
(+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))) |
(/ i n) |
(/ (+ i (* -1/2 (/ (pow i 2) n))) n) |
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n) |
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n) |
(/ i 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)) |
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)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(* (pow i 3) (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) |
(* (pow i 3) (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* 1/2 (/ 1 i)))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* i n))))) |
(* (pow i 3) (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (+ (* 1/2 (/ 1 i)) (/ 1 (pow i 2))))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* i n))))) |
(* (pow i 3) (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (+ (* 1/2 (/ 1 i)) (/ 1 (pow i 2))))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* i n))))) |
(* (pow i 3) (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) |
(* -1 (* (pow i 3) (+ (* -1 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) i))))) |
(* -1 (* (pow i 3) (+ (* -1 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (* -1 (/ (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))) i))))) |
(* -1 (* (pow i 3) (+ (* -1 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (* -1 (/ (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))) i))))) |
(* 1/3 (/ (pow i 3) (pow n 2))) |
(/ (+ (* 1/3 (pow i 3)) (* (pow i 2) (* n (- (* -1/2 i) 1/2)))) (pow n 2)) |
(/ (+ (* 1/3 (pow i 3)) (* n (+ (* n (+ i (* (pow i 2) (+ 1/2 (* 1/6 i))))) (* (pow i 2) (- (* -1/2 i) 1/2))))) (pow n 2)) |
(/ (+ (* 1/3 (pow i 3)) (* n (+ (* n (+ i (* (pow i 2) (+ 1/2 (* 1/6 i))))) (* (pow i 2) (- (* -1/2 i) 1/2))))) (pow n 2)) |
(+ i (* (pow i 2) (+ 1/2 (* 1/6 i)))) |
(+ i (+ (* (pow i 2) (+ 1/2 (* 1/6 i))) (/ (* (pow i 2) (- (* -1/2 i) 1/2)) n))) |
(+ i (+ (* 1/3 (/ (pow i 3) (pow n 2))) (+ (* (pow i 2) (+ 1/2 (* 1/6 i))) (/ (* (pow i 2) (- (* -1/2 i) 1/2)) n)))) |
(+ i (+ (* 1/3 (/ (pow i 3) (pow n 2))) (+ (* (pow i 2) (+ 1/2 (* 1/6 i))) (/ (* (pow i 2) (- (* -1/2 i) 1/2)) n)))) |
(+ i (* (pow i 2) (+ 1/2 (* 1/6 i)))) |
(+ i (+ (* -1 (/ (* (pow i 2) (+ 1/2 (* 1/2 i))) n)) (* (pow i 2) (+ 1/2 (* 1/6 i))))) |
(+ i (+ (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* (pow i 2) (+ 1/2 (* 1/2 i)))) n)) (* (pow i 2) (+ 1/2 (* 1/6 i))))) |
(+ i (+ (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* (pow i 2) (+ 1/2 (* 1/2 i)))) n)) (* (pow i 2) (+ 1/2 (* 1/6 i))))) |
| Outputs |
|---|
(* n (+ (log i) (* -1 (log n)))) |
(*.f64 n (-.f64 (log.f64 i) (log.f64 n))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))) |
(*.f64 n (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 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))))))) |
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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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(+.f64 (-.f64 (log.f64 i) (log.f64 n)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 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))))) |
(+.f64 (-.f64 (log.f64 i) (log.f64 n)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 n n) (*.f64 i i)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i))) (/.f64 n i)))) |
(+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))) |
(-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) |
(+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (/ n i))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 n))) (-.f64 (/.f64 n i) (log.f64 (/.f64 #s(literal -1 binary64) i)))) |
(+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (* -1 (/ (+ (* -1 n) (* 1/2 (/ (pow n 2) i))) i)))) |
(-.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 n n) i) (neg.f64 n)) i)) |
(+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (* -1 (/ (+ (* -1 n) (* -1 (/ (+ (* -1/2 (pow n 2)) (* 1/3 (/ (pow n 3) i))) i))) i)))) |
(-.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) (/.f64 (-.f64 (neg.f64 n) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 n n) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 n (*.f64 n n)) i))) i)) i)) |
(+ (log i) (* -1 (log n))) |
(-.f64 (log.f64 i) (log.f64 n)) |
(+ (log i) (+ (* -1 (log n)) (/ n i))) |
(+.f64 (log.f64 i) (-.f64 (/.f64 n i) (log.f64 n))) |
(+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i))))) |
(+.f64 (log.f64 i) (-.f64 (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 n (*.f64 i i)) (/.f64 #s(literal 1 binary64) i))) (log.f64 n))) |
(+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))) |
(+.f64 (log.f64 i) (fma.f64 n (fma.f64 n (fma.f64 #s(literal 1/3 binary64) (/.f64 n (*.f64 i (*.f64 i i))) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))) (/.f64 #s(literal 1 binary64) i)) (neg.f64 (log.f64 n)))) |
(/ i n) |
(/.f64 i n) |
(/ (+ i (* -1/2 (/ (pow i 2) n))) n) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n) i) n) |
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n) |
(/.f64 (+.f64 i (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n)))) 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 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n) i) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n n)) (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n))))) n) |
(/ i n) |
(/.f64 i n) |
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) n) i) (neg.f64 n)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n)) |
(/.f64 (-.f64 (neg.f64 i) (/.f64 (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i (*.f64 i i)) n))) n)) (neg.f64 n)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n)) |
(/.f64 (-.f64 (neg.f64 i) (/.f64 (-.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (*.f64 i (*.f64 i i)) #s(literal -1/3 binary64) (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)) n)) n)) n)) (neg.f64 n)) |
i |
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))) |
(fma.f64 i (*.f64 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)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(fma.f64 i (*.f64 i (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (+.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)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(fma.f64 i (*.f64 i (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) i) |
(* (pow i 3) (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) |
(*.f64 (*.f64 i (*.f64 i i)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) |
(* (pow i 3) (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* 1/2 (/ 1 i)))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* i n))))) |
(*.f64 (*.f64 i (*.f64 i i)) (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) i))) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n i))))) |
(* (pow i 3) (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (+ (* 1/2 (/ 1 i)) (/ 1 (pow i 2))))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* i n))))) |
(*.f64 (*.f64 i (*.f64 i i)) (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) i))) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n i))))) |
(* (pow i 3) (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (+ (* 1/2 (/ 1 i)) (/ 1 (pow i 2))))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* i n))))) |
(*.f64 (*.f64 i (*.f64 i i)) (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) i))) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n i))))) |
(* (pow i 3) (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) |
(*.f64 (*.f64 i (*.f64 i i)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) |
(* -1 (* (pow i 3) (+ (* -1 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) i))))) |
(neg.f64 (*.f64 (*.f64 i (*.f64 i i)) (-.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) i)))) |
(* -1 (* (pow i 3) (+ (* -1 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (* -1 (/ (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))) i))))) |
(neg.f64 (*.f64 (*.f64 i (*.f64 i i)) (-.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -1/2 binary64) n))) i)))) |
(* -1 (* (pow i 3) (+ (* -1 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (* -1 (/ (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))) i))))) |
(neg.f64 (*.f64 (*.f64 i (*.f64 i i)) (-.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -1/2 binary64) n))) i)))) |
(* 1/3 (/ (pow i 3) (pow n 2))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n)) |
(/ (+ (* 1/3 (pow i 3)) (* (pow i 2) (* n (- (* -1/2 i) 1/2)))) (pow n 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i i) (*.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 n n)) |
(/ (+ (* 1/3 (pow i 3)) (* n (+ (* n (+ i (* (pow i 2) (+ 1/2 (* 1/6 i))))) (* (pow i 2) (- (* -1/2 i) 1/2))))) (pow n 2)) |
(/.f64 (fma.f64 n (fma.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i) (*.f64 (*.f64 i i) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)) |
(/ (+ (* 1/3 (pow i 3)) (* n (+ (* n (+ i (* (pow i 2) (+ 1/2 (* 1/6 i))))) (* (pow i 2) (- (* -1/2 i) 1/2))))) (pow n 2)) |
(/.f64 (fma.f64 n (fma.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i) (*.f64 (*.f64 i i) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)) |
(+ i (* (pow i 2) (+ 1/2 (* 1/6 i)))) |
(fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i) |
(+ i (+ (* (pow i 2) (+ 1/2 (* 1/6 i))) (/ (* (pow i 2) (- (* -1/2 i) 1/2)) n))) |
(fma.f64 (*.f64 i i) (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n)) i) |
(+ i (+ (* 1/3 (/ (pow i 3) (pow n 2))) (+ (* (pow i 2) (+ 1/2 (* 1/6 i))) (/ (* (pow i 2) (- (* -1/2 i) 1/2)) n)))) |
(+.f64 i (fma.f64 (*.f64 i i) (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n)))) |
(+ i (+ (* 1/3 (/ (pow i 3) (pow n 2))) (+ (* (pow i 2) (+ 1/2 (* 1/6 i))) (/ (* (pow i 2) (- (* -1/2 i) 1/2)) n)))) |
(+.f64 i (fma.f64 (*.f64 i i) (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n)))) |
(+ i (* (pow i 2) (+ 1/2 (* 1/6 i)))) |
(fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i) |
(+ i (+ (* -1 (/ (* (pow i 2) (+ 1/2 (* 1/2 i))) n)) (* (pow i 2) (+ 1/2 (* 1/6 i))))) |
(+.f64 i (fma.f64 (*.f64 i i) (/.f64 (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 n)) (*.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) |
(+ i (+ (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* (pow i 2) (+ 1/2 (* 1/2 i)))) n)) (* (pow i 2) (+ 1/2 (* 1/6 i))))) |
(+.f64 (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 i (*.f64 i i)) n) (*.f64 (*.f64 i i) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 n))) |
(+ i (+ (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* (pow i 2) (+ 1/2 (* 1/2 i)))) n)) (* (pow i 2) (+ 1/2 (* 1/6 i))))) |
(+.f64 (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 i (*.f64 i i)) n) (*.f64 (*.f64 i i) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 n))) |
| 4 996× | lower-/.f32 |
| 4 978× | lower-/.f64 |
| 4 248× | lower-*.f32 |
| 4 232× | lower-*.f64 |
| 4 092× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 301 |
| 0 | 83 | 280 |
| 1 | 352 | 278 |
| 2 | 2896 | 278 |
| 0 | 8856 | 273 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) |
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) |
(*.f64 n (log1p.f64 (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) |
(*.f64 n #s(literal 100 binary64)) |
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) |
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n))) |
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) |
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) |
(fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) |
(log1p.f64 (/.f64 i n)) |
(fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) |
| Outputs |
|---|
(+.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)) |
(-.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)) (*.f64 n #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (-.f64 #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 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (-.f64 #s(literal 1 binary64) (*.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)) (+.f64 n n)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)))) |
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64))))) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64))))) |
(expm1.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))) |
(expm1.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (/.f64 i n) #s(literal 1 binary64)))) (*.f64 n #s(literal 1/2 binary64)))) |
(expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(expm1.f64 (fma.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)) (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))))) |
(fma.f64 #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) #s(literal 1 binary64) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 i (*.f64 i i) (pow.f64 (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 i (-.f64 i (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i))) (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 (*.f64 i i) (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i)))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i) i) (-.f64 (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i)) i)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i)) i)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 i i) (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 (*.f64 i i) (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i)))))) (neg.f64 (-.f64 i (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i))))) |
(pow.f64 (/.f64 (fma.f64 i (-.f64 i (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i))) (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 (*.f64 i i) (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i))))) (fma.f64 i (*.f64 i i) (pow.f64 (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i)) i) (*.f64 (fma.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i) i) (-.f64 (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i)) i))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 i (*.f64 i i) (pow.f64 (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i (-.f64 i (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i))) (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 (*.f64 i i) (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i) i) (-.f64 (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i)) i)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i)) i))) |
Compiled 52 180 to 3 638 computations (93% saved)
56 alts after pruning (52 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 538 | 41 | 1 579 |
| Fresh | 12 | 11 | 23 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 551 | 56 | 1 607 |
| Status | Accuracy | Program |
|---|---|---|
| 25.3% | (fma.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) | |
| 25.3% | (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) | |
| ▶ | 24.7% | (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
| 25.3% | (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) | |
| 24.9% | (fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) | |
| 29.9% | (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n)) | |
| 25.2% | (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n (*.f64 #s(literal -100 binary64) n)) i) | |
| 25.8% | (/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) i) | |
| ✓ | 30.3% | (/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) |
| 17.4% | (/.f64 (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) | |
| 17.4% | (/.f64 (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) | |
| 30.3% | (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -100 binary64)) n) i) | |
| 55.2% | (/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i (fma.f64 (*.f64 i #s(literal 100 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 100 binary64)))) n) i) | |
| 53.6% | (/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i (fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) #s(literal 100 binary64)))) n) i) | |
| 51.3% | (/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) n) i) | |
| 73.0% | (/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 #s(literal 100 binary64) (expm1.f64 i))) n) i) | |
| 51.2% | (/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i) | |
| 12.4% | (/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n)))) i) | |
| 29.9% | (+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (*.f64 #s(literal -100 binary64) (/.f64 n i))) | |
| 30.3% | (*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) | |
| 54.5% | (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i) i))) i) n) | |
| 25.3% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 n (neg.f64 i)))) | |
| 25.9% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))) | |
| ✓ | 25.3% | (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) |
| 11.0% | (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) | |
| 13.1% | (*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (* (pow (+ 1 (/ i n)) n) n) (fma.f64 n i n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) | |
| 17.6% | (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i (neg.f64 n)) i) (*.f64 i (/.f64 i (neg.f64 n))))) | |
| 14.2% | (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i))) | |
| 16.8% | (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (*.f64 i i))) | |
| 29.4% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) n))) | |
| 30.3% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i)) | |
| 15.5% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) | |
| 38.3% | (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (-.f64 (log1p.f64 (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (log1p.f64 (/.f64 (-.f64 (*.f64 (/.f64 i n) i) i) n))))) (/.f64 i n))) | |
| ✓ | 74.0% | (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) |
| 45.6% | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i)) (/.f64 i n))) | |
| 27.1% | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) (*.f64 n n))) i)) (/.f64 i n))) | |
| 11.5% | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n))) | |
| ▶ | 62.3% | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))) |
| 19.8% | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i) (*.f64 (*.f64 i i) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)))) (/.f64 i n))) | |
| 5.5% | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n)))) (/.f64 i n))) | |
| 15.6% | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (*.f64 (*.f64 i (*.f64 i i)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))))) (/.f64 i n))) | |
| 30.0% | (*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i))) | |
| 30.3% | (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal 1 binary64) i) (+.f64 (neg.f64 n) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))) | |
| 55.1% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n))) | |
| 54.5% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)))) n))) | |
| ▶ | 54.7% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n))) |
| 12.4% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)) i))) | |
| 73.0% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))) | |
| 51.3% | (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i))) | |
| 53.4% | (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i)) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 i (fma.f64 i (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)))) n))) i))) | |
| 54.5% | #s(approx (/ (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) i) (fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))))) (*.f64 n #s(literal 100 binary64)))) | |
| 12.9% | #s(approx (/ (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) i) (*.f64 (*.f64 n n) (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 (+.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 (log.f64 i) i)) (/.f64 (log.f64 n) i)) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))) i) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) i))) (/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64)) i)))) | |
| 11.1% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i)) | |
| ▶ | 76.0% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) |
| ✓ | 46.4% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) |
| ▶ | 15.7% | #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) |
Compiled 2 272 to 1 379 computations (39.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (/.f64 i n) #s(literal 1 binary64)) | |
| cost-diff | 0 | (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) | |
| cost-diff | 0 | (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) | |
| cost-diff | 1024 | (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i))) | |
| cost-diff | 0 | (expm1.f64 i) | |
| cost-diff | 0 | #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) | |
| cost-diff | 0 | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))) | |
| cost-diff | 384 | (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)) | |
| cost-diff | 0 | #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.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 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n))) | |
| cost-diff | 512 | (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) | |
| cost-diff | 1152 | (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) | |
| cost-diff | 0 | #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) | |
| cost-diff | 704 | (/.f64 #s(literal 0 binary64) i) | |
| cost-diff | 0 | (/.f64 (expm1.f64 i) i) | |
| cost-diff | 0 | (*.f64 n #s(literal 100 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) | |
| cost-diff | 0 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) |
| 13 312× | lower-fma.f32 |
| 13 306× | lower-fma.f64 |
| 3 856× | lower-*.f32 |
| 3 840× | lower-*.f64 |
| 2 208× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 363 |
| 0 | 82 | 356 |
| 1 | 171 | 353 |
| 2 | 398 | 351 |
| 3 | 1110 | 351 |
| 4 | 3558 | 347 |
| 5 | 6218 | 339 |
| 0 | 8305 | 323 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) |
(*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) |
(*.f64 n #s(literal 100 binary64)) |
n |
#s(literal 100 binary64) |
(/.f64 (expm1.f64 i) i) |
(expm1.f64 i) |
i |
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) |
(/.f64 #s(literal 0 binary64) i) |
#s(literal 0 binary64) |
i |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.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 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)) |
(fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n) |
i |
(*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) |
n |
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
#s(literal 1/3 binary64) |
(*.f64 n n) |
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) 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)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/2 binary64) n) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))) |
#s(literal 100 binary64) |
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)) |
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) |
(expm1.f64 i) |
i |
(/.f64 i n) |
n |
(fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.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) |
(+.f64 (/.f64 i n) #s(literal 1 binary64)) |
(/.f64 i n) |
i |
n |
#s(literal 1 binary64) |
(/.f64 n i) |
#s(literal 100 binary64) |
(*.f64 #s(literal -100 binary64) (/.f64 n i)) |
#s(literal -100 binary64) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) |
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))) |
(*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) |
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i)) |
(*.f64 n #s(literal 100 binary64)) |
(*.f64 #s(literal 100 binary64) n) |
n |
#s(literal 100 binary64) |
(/.f64 (expm1.f64 i) i) |
(expm1.f64 i) |
i |
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(literal 0 binary64)) |
(/.f64 #s(literal 0 binary64) i) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
i |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) n) (fma.f64 n #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64))) n))) |
#s(literal 100 binary64) |
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.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 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) n) (fma.f64 n #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64))) n)) |
(fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n) |
(fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) n) (fma.f64 n #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64))) n) |
i |
(*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) |
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) n) (fma.f64 n #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
n |
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) |
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 #s(literal -1 binary64) i) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
#s(literal 1/3 binary64) |
(*.f64 n n) |
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) 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 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/2 binary64) n) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))) |
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 (*.f64 #s(literal 100 binary64) n) i)) |
#s(literal 100 binary64) |
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)) |
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 n i)) |
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) |
(expm1.f64 i) |
i |
(/.f64 i n) |
n |
(fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(/.f64 (*.f64 n (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64))) i) |
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) |
(+.f64 (/.f64 i n) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 i n)) |
(/.f64 i n) |
i |
n |
#s(literal 1 binary64) |
(/.f64 n i) |
#s(literal 100 binary64) |
(*.f64 #s(literal -100 binary64) (/.f64 n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
#s(literal -100 binary64) |
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 | 0.22418873993272956 | (*.f64 #s(literal -100 binary64) (/.f64 n i)) | |
| accuracy | 15.060510950367775 | (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) | |
| accuracy | 33.14393539426416 | (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i))) | |
| accuracy | 0 | (expm1.f64 i) | |
| accuracy | 0.08984375 | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))) | |
| accuracy | 8.914683512117168 | (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)) | |
| accuracy | 16.648664169574907 | #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) | |
| accuracy | 0.41111493587304293 | (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) | |
| accuracy | 3.061008882251073 | (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) | |
| accuracy | 4.055012758159178 | (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) | |
| accuracy | 26.493114154916718 | #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)) | |
| accuracy | 0 | (/.f64 #s(literal 0 binary64) i) | |
| accuracy | 53.45198665403252 | #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) | |
| accuracy | 0 | (expm1.f64 i) | |
| accuracy | 0.01171875 | (/.f64 (expm1.f64 i) i) | |
| accuracy | 0.09765625 | (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) | |
| accuracy | 15.30991696845434 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) |
| 247.0ms | 164× | 1 | valid |
| 52.0ms | 37× | 2 | valid |
| 22.0ms | 53× | 0 | valid |
| 4.0ms | 1× | 5 | exit |
| 0.0ms | 1× | 1 | exit |
Compiled 308 to 49 computations (84.1% saved)
ival-pow: 75.0ms (30.9% of total)ival-add: 58.0ms (23.9% of total)ival-div: 43.0ms (17.7% of total)ival-mult: 31.0ms (12.8% of total)adjust: 19.0ms (7.8% of total)const: 9.0ms (3.7% of total)ival-sub: 4.0ms (1.6% of total)ival-expm1: 2.0ms (0.8% of total)exact: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) (patch (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) #<representation binary64>) () ()) |
#s(alt (*.f64 n #s(literal 100 binary64)) (patch (*.f64 n #s(literal 100 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (expm1.f64 i) i) (patch (/.f64 (expm1.f64 i) i) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 0 binary64) i) (patch (/.f64 #s(literal 0 binary64) i) #<representation binary64>) () ()) |
#s(alt #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) (patch #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) #<representation binary64>) () ()) |
#s(alt (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) (patch (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (patch (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n))) (patch (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)) (patch #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)) (patch (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))) (patch (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (patch #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #<representation binary64>) () ()) |
#s(alt (expm1.f64 i) (patch (expm1.f64 i) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i))) (patch (fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) (patch (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (patch (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 100 n) (taylor 0 i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* 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)))))))) (taylor 0 i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)))))))))) (taylor 0 i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) (taylor inf i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 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) (taylor inf i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 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) (taylor inf i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 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) (taylor inf i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)) (taylor -inf i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ()) |
#s(alt (* -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)) (taylor -inf i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ()) |
#s(alt (* -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)) (taylor -inf i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ()) |
#s(alt (* -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)) (taylor -inf i) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)) (taylor 0 n) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ()) |
#s(alt (* (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)))) (taylor 0 n) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ()) |
#s(alt (* (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)))))))) (taylor 0 n) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ()) |
#s(alt (* (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))))))))))) (taylor 0 n) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor inf n) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ()) |
#s(alt (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) (taylor inf n) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ()) |
#s(alt (* 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))))) (taylor inf n) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ()) |
#s(alt (* 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)))))) (taylor inf n) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor -inf n) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n))))) (taylor -inf n) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ()) |
#s(alt (* -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))))) (taylor -inf n) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ()) |
#s(alt (* -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))))) (taylor -inf n) (#s(alt #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (patch #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor 0 n) (#s(alt (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) (patch (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor 0 n) (#s(alt (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) (patch (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor 0 n) (#s(alt (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) (patch (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor 0 n) (#s(alt (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) (patch (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor inf n) (#s(alt (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) (patch (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor inf n) (#s(alt (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) (patch (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) #<representation binary64>) () ())) ()) |
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#s(alt (/ 1/3 (pow n 2)) (taylor inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 (pow n 2)) (taylor inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 (pow n 2)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 (pow n 2)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 (pow n 2)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 (pow n 2)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor 0 n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor 0 n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor 0 n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor 0 n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor inf n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor inf n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor inf n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor inf n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor -inf n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor -inf n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor -inf n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor -inf n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor 0 i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor 0 i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor 0 i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor 0 i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor inf i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor inf i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor inf i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor inf i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor -inf i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor -inf i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor -inf i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor -inf i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | i | @ | 0 | (/ (- (exp i) 1) i) |
| 1.0ms | i | @ | -inf | (* (* n 100) (/ (- (exp i) 1) i)) |
| 1.0ms | i | @ | inf | (* (* n 100) (/ (- (exp i) 1) i)) |
| 1.0ms | n | @ | 0 | (* (* n 100) (/ (- (exp i) 1) i)) |
| 1.0ms | i | @ | -inf | (/ (- (exp i) 1) i) |
| 1× | egg-herbie |
| 11 436× | lower-fma.f64 |
| 11 436× | lower-fma.f32 |
| 6 384× | lower-*.f64 |
| 6 384× | lower-*.f32 |
| 5 886× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 825 | 11884 |
| 1 | 2644 | 10955 |
| 0 | 8287 | 10085 |
| 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)))))))))) |
(* 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 (* 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)) |
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)) |
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i)))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))))))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))))))))) |
(* 100 (/ (* n (- (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)))))) |
(* 100 (/ (* n (- (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))))) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* 100 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 (/ (* n (- (exp i) 1)) i)) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* 100 n) |
(* 100 n) |
(* 100 n) |
(* 100 n) |
(* 100 n) |
(* 100 n) |
(* 100 n) |
(* 100 n) |
(* 100 n) |
(* 100 n) |
(* 100 n) |
(* 100 n) |
1 |
(+ 1 (* 1/2 i)) |
(+ 1 (* i (+ 1/2 (* 1/6 i)))) |
(+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))) |
(/ (- (exp i) 1) i) |
(/ (- (exp i) 1) i) |
(/ (- (exp i) 1) i) |
(/ (- (exp i) 1) i) |
(/ (- (exp i) 1) i) |
(/ (- (exp i) 1) i) |
(/ (- (exp i) 1) i) |
(/ (- (exp i) 1) i) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
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) |
(* 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) |
(* -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)) |
(* 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))))))))))) |
(* 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)))))))) |
(* -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)))))) |
(* 1/3 (/ i n)) |
(/ (+ (* 1/3 i) (* n (- (* -1/2 i) 1/2))) n) |
(/ (+ (* 1/3 i) (* n (- (+ (* -1/2 i) (* n (+ 1/2 (* 1/6 i)))) 1/2))) n) |
(/ (+ (* 1/3 i) (* n (- (+ (* -1/2 i) (* n (+ 1/2 (* 1/6 i)))) 1/2))) n) |
(* n (+ 1/2 (* 1/6 i))) |
(* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (* 1/6 i))) (* 1/2 (/ 1 n)))) |
(* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2)))))) (* 1/2 (/ 1 n)))) |
(* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2)))))) (* 1/2 (/ 1 n)))) |
(* n (+ 1/2 (* 1/6 i))) |
(* -1 (* n (+ (* -1 (+ 1/2 (* 1/6 i))) (+ (* 1/2 (/ i n)) (* 1/2 (/ 1 n)))))) |
(* -1 (* n (+ (* -1 (+ 1/2 (* 1/6 i))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 i))) (* 1/3 (/ i n))) n))))) |
(* -1 (* n (+ (* -1 (+ 1/2 (* 1/6 i))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 i))) (* 1/3 (/ i n))) n))))) |
(* n (- 1/2 (* 1/2 (/ 1 n)))) |
(+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))) |
(+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))) |
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(/ i n) |
(* i (+ (/ 1 i) (/ 1 n))) |
(* i (+ (/ 1 i) (/ 1 n))) |
(* i (+ (/ 1 i) (/ 1 n))) |
(/ i n) |
(/ (+ i n) n) |
(/ (+ i n) n) |
(/ (+ i n) n) |
1 |
(+ 1 (/ i n)) |
(+ 1 (/ i n)) |
(+ 1 (/ i n)) |
1 |
(+ 1 (/ i n)) |
(+ 1 (/ i n)) |
(+ 1 (/ i n)) |
(/ 1/3 (pow n 2)) |
(/ 1/3 (pow n 2)) |
(/ 1/3 (pow n 2)) |
(/ 1/3 (pow n 2)) |
(/ 1/3 (pow n 2)) |
(/ 1/3 (pow n 2)) |
(/ 1/3 (pow n 2)) |
(/ 1/3 (pow n 2)) |
(/ 1/3 (pow n 2)) |
(/ 1/3 (pow n 2)) |
(/ 1/3 (pow n 2)) |
(/ 1/3 (pow n 2)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
| Outputs |
|---|
(* 100 n) |
(*.f64 #s(literal 100 binary64) n) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 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)))))))) |
(fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 n i) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 #s(literal 100 binary64) n)) |
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
(fma.f64 #s(literal 100 binary64) n (*.f64 i (fma.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/4 binary64) n))) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n i) (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))))) (*.f64 n (*.f64 #s(literal 100 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))) |
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (*.f64 (*.f64 n (*.f64 n n)) (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) 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 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) (*.f64 i i))) (*.f64 (*.f64 n (*.f64 n n)) (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) 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 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (/.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64))))) (*.f64 i (*.f64 i i))))) (*.f64 (*.f64 n (*.f64 n n)) (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i))))) i) |
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) 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)) |
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 n (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) 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)) |
(/.f64 (fma.f64 (*.f64 n (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) #s(literal -100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 n (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (*.f64 n (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))))) i))) i)) (neg.f64 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)) |
(/.f64 (-.f64 (*.f64 (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (*.f64 n #s(literal -100 binary64))) (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 100 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (*.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/6 binary64)))) i)) (*.f64 #s(literal -100 binary64) (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (*.f64 n (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))))))) i)) i)) (neg.f64 i)) |
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 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)))) |
(*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) (/.f64 #s(literal 1 binary64) (*.f64 i i))) (/.f64 (-.f64 (log.f64 i) (log.f64 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)))))))) |
(*.f64 (*.f64 n n) (fma.f64 n (fma.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (log.f64 n) (*.f64 i i))) (/.f64 #s(literal -1/2 binary64) (*.f64 i (*.f64 i i)))) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) #s(literal 50 binary64) (/.f64 #s(literal 100 binary64) (*.f64 i i)))) (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (log.f64 i) (log.f64 n))) i))) |
(* (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 n n) (fma.f64 n (fma.f64 n (*.f64 #s(literal 100 binary64) (+.f64 (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i (*.f64 i i))) (+.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 4 binary64)) i) (/.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (*.f64 i i)) (/.f64 #s(literal 1/2 binary64) (*.f64 i (*.f64 i i)))))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (log.f64 n) (*.f64 i i)))) (/.f64 #s(literal -1/2 binary64) (*.f64 i (*.f64 i i))))) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) #s(literal 50 binary64) (/.f64 #s(literal 100 binary64) (*.f64 i i)))) (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (log.f64 i) (log.f64 n))) i))) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) |
(*.f64 n (fma.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i) (/.f64 (*.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i))) 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 n (fma.f64 #s(literal 100 binary64) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (*.f64 n (*.f64 n i))) (/.f64 (expm1.f64 i) i)) (/.f64 (*.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i))) 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 n (fma.f64 #s(literal 100 binary64) (fma.f64 (exp.f64 i) (+.f64 (/.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (*.f64 n (*.f64 n i))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (*.f64 n (*.f64 n (*.f64 n i))))) (/.f64 (expm1.f64 i) i)) (/.f64 (*.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i))) n))) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 50 binary64) i) (/.f64 (exp.f64 i) n) (/.f64 (*.f64 #s(literal -100 binary64) (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 (-.f64 (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) i) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) (/.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (*.f64 n i)) (*.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)))) 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 (-.f64 (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) i) (/.f64 (-.f64 (*.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i))) (/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64))))) (*.f64 n i)) (/.f64 (*.f64 (*.f64 #s(literal -100 binary64) (exp.f64 i)) (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)))) i)) n)) n)) (neg.f64 n)) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i) |
(* 100 n) |
(*.f64 #s(literal 100 binary64) n) |
(+ (* 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 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))))) |
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n)))))) |
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n)) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i) |
(* 100 n) |
(*.f64 #s(literal 100 binary64) n) |
(* 100 n) |
(*.f64 #s(literal 100 binary64) n) |
(* 100 n) |
(*.f64 #s(literal 100 binary64) n) |
(* 100 n) |
(*.f64 #s(literal 100 binary64) n) |
(* 100 n) |
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(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) |
(exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) |
(fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 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))) |
(fma.f64 n (/.f64 (*.f64 n (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i) (fma.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 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)))) |
(fma.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (/.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64))))) (*.f64 i (*.f64 i i)))) (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))) |
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) |
(exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) 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)) |
(fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) i) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) 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))) |
(-.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (neg.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 n n (/.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) 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))) |
(-.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (neg.f64 (fma.f64 n (*.f64 n (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (fma.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (neg.f64 (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (*.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/6 binary64)))) i)) (*.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i))) i)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* n (+ (log i) (* -1 (log n))))) |
(fma.f64 n (-.f64 (log.f64 i) (log.f64 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 n (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 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 n (fma.f64 n (fma.f64 n (+.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i))) (-.f64 (log.f64 i) (log.f64 n))) #s(literal 1 binary64)) |
(exp i) |
(exp.f64 i) |
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (*.f64 i (exp.f64 i))) n) (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 (exp.f64 i) (/.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (*.f64 n n)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (*.f64 i (exp.f64 i))) 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))))) |
(fma.f64 (exp.f64 i) (+.f64 (/.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (*.f64 n n)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (*.f64 n (*.f64 n n)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (*.f64 i (exp.f64 i))) n) (exp.f64 i))) |
(exp i) |
(exp.f64 i) |
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (*.f64 i (exp.f64 i))) n) (exp.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 #s(literal 1/2 binary64) (*.f64 i (*.f64 i (exp.f64 i))) (/.f64 (*.f64 (neg.f64 (exp.f64 i)) (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 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 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i (*.f64 i (exp.f64 i)))) (/.f64 (fma.f64 (exp.f64 i) (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64))))) (neg.f64 n))) n)) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ i n)) |
(+.f64 #s(literal 1 binary64) (/.f64 i n)) |
(+ 1 (/ i n)) |
(+.f64 #s(literal 1 binary64) (/.f64 i n)) |
(+ 1 (/ i n)) |
(+.f64 #s(literal 1 binary64) (/.f64 i n)) |
(/ i n) |
(/.f64 i n) |
(* i (+ (/ 1 i) (/ 1 n))) |
(+.f64 #s(literal 1 binary64) (/.f64 i n)) |
(* i (+ (/ 1 i) (/ 1 n))) |
(+.f64 #s(literal 1 binary64) (/.f64 i n)) |
(* i (+ (/ 1 i) (/ 1 n))) |
(+.f64 #s(literal 1 binary64) (/.f64 i n)) |
(/ i n) |
(/.f64 i n) |
(* i (+ (/ 1 i) (/ 1 n))) |
(+.f64 #s(literal 1 binary64) (/.f64 i n)) |
(* i (+ (/ 1 i) (/ 1 n))) |
(+.f64 #s(literal 1 binary64) (/.f64 i n)) |
(* i (+ (/ 1 i) (/ 1 n))) |
(+.f64 #s(literal 1 binary64) (/.f64 i n)) |
(/ i n) |
(/.f64 i n) |
(/ (+ i n) n) |
(/.f64 (+.f64 n i) n) |
(/ (+ i n) n) |
(/.f64 (+.f64 n i) n) |
(/ (+ i n) n) |
(/.f64 (+.f64 n i) n) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ i n)) |
(+.f64 #s(literal 1 binary64) (/.f64 i n)) |
(+ 1 (/ i n)) |
(+.f64 #s(literal 1 binary64) (/.f64 i n)) |
(+ 1 (/ i n)) |
(+.f64 #s(literal 1 binary64) (/.f64 i n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ i n)) |
(+.f64 #s(literal 1 binary64) (/.f64 i n)) |
(+ 1 (/ i n)) |
(+.f64 #s(literal 1 binary64) (/.f64 i n)) |
(+ 1 (/ i n)) |
(+.f64 #s(literal 1 binary64) (/.f64 i n)) |
(/ 1/3 (pow n 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
(/ 1/3 (pow n 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
(/ 1/3 (pow n 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
(/ 1/3 (pow n 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
(/ 1/3 (pow n 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
(/ 1/3 (pow n 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
(/ 1/3 (pow n 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
(/ 1/3 (pow n 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
(/ 1/3 (pow n 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
(/ 1/3 (pow n 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
(/ 1/3 (pow n 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
(/ 1/3 (pow n 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
| 4 592× | lower-/.f32 |
| 4 578× | lower-/.f64 |
| 3 574× | lower-*.f32 |
| 3 558× | lower-*.f64 |
| 3 256× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 279 |
| 0 | 82 | 270 |
| 1 | 370 | 267 |
| 2 | 3225 | 267 |
| 0 | 8711 | 247 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) |
(*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)) |
(*.f64 n #s(literal 100 binary64)) |
(/.f64 (expm1.f64 i) i) |
(/.f64 #s(literal 0 binary64) i) |
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) |
(*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) |
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.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 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.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 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)) |
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))) |
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) |
(expm1.f64 i) |
(fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.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) |
(+.f64 (/.f64 i n) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
(*.f64 #s(literal -100 binary64) (/.f64 n i)) |
| Outputs |
|---|
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))))) |
(/.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 i (expm1.f64 i))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i)))))) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i) |
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i)))) (neg.f64 i)) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) #s(literal 1 binary64)) (/.f64 i (expm1.f64 i))) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (neg.f64 (expm1.f64 i))) (neg.f64 i)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) n)) (/.f64 i (expm1.f64 i))) |
(/.f64 (*.f64 (neg.f64 (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) (neg.f64 i)) |
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) n)) (neg.f64 (/.f64 i (expm1.f64 i)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))))) (neg.f64 (neg.f64 i))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) #s(literal 1 binary64))) (neg.f64 (/.f64 i (expm1.f64 i)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (neg.f64 (expm1.f64 i)))) (neg.f64 (neg.f64 i))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) n))) (neg.f64 (/.f64 i (expm1.f64 i)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n))) (neg.f64 (neg.f64 i))) |
(pow.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 100 binary64) (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)) |
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i)) |
(*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 #s(literal 100 binary64) n))) |
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i) n) |
(*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) (/.f64 #s(literal 1 binary64) i)) |
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64)) |
(*.f64 #s(literal 100 binary64) n) |
(*.f64 n #s(literal 100 binary64)) |
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(fma.f64 (neg.f64 i) (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) n) i #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (*.f64 n #s(literal 1 binary64)) #s(literal -1 binary64)) i #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 i n) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 i n) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)) (+.f64 (/.f64 i n) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (-.f64 #s(literal 1 binary64) (/.f64 i n))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n))))) (neg.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n))))) (neg.f64 (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 i n) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)))) |
(/.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n))))) (exp.f64 (log.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))))) |
(/.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n))))) (exp.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 (/.f64 i n) i) i) n)))) |
(/.f64 (exp.f64 (log.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)))) (exp.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal -1 binary64))))) |
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (/.f64 (*.f64 i i) (*.f64 n n))))) (exp.f64 (log1p.f64 (/.f64 i (neg.f64 n))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 i n) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n))))) |
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (/.f64 i n) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 n n) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 n n))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 n n) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 n n) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1/3 binary64) n))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 n n) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 n (neg.f64 n)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 n n) #s(literal 3 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (/.f64 #s(literal 1/3 binary64) n)))) |
(/.f64 #s(literal -1/3 binary64) (*.f64 n (neg.f64 n))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (*.f64 n (neg.f64 n))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) n) n) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) n)) (neg.f64 n)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) n))) n) |
(pow.f64 (*.f64 (*.f64 n n) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 n (/.f64 #s(literal 1/3 binary64) n)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n n))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n (neg.f64 n)))) |
(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1 binary64) n)) |
(neg.f64 (/.f64 (*.f64 #s(literal 100 binary64) n) i)) |
(/.f64 #s(literal 100 binary64) (/.f64 i (neg.f64 n))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n #s(literal -100 binary64)))) |
(/.f64 (*.f64 #s(literal 100 binary64) n) (neg.f64 i)) |
(/.f64 #s(literal -100 binary64) (/.f64 i n)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))))) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(/.f64 (neg.f64 (*.f64 n #s(literal -100 binary64))) (neg.f64 i)) |
(/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i) |
(/.f64 (*.f64 #s(literal -100 binary64) (neg.f64 n)) (neg.f64 i)) |
(/.f64 (*.f64 (neg.f64 n) #s(literal -100 binary64)) (neg.f64 i)) |
(/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i) |
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) n)) (neg.f64 (neg.f64 i))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64))) (neg.f64 i)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 n #s(literal -100 binary64)))) (neg.f64 (neg.f64 i))) |
(/.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (neg.f64 n))) (neg.f64 (neg.f64 i))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 n) #s(literal -100 binary64))) (neg.f64 (neg.f64 i))) |
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n))) (neg.f64 i)) |
(pow.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 100 binary64) (/.f64 (neg.f64 n) i)) |
(*.f64 n (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -100 binary64))) |
(*.f64 (neg.f64 n) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64))) |
(*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)) |
(*.f64 (/.f64 n i) #s(literal -100 binary64)) |
(*.f64 #s(literal -100 binary64) (/.f64 n i)) |
(*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i)) |
(*.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) (/.f64 #s(literal 1 binary64) i)) |
Compiled 28 248 to 2 575 computations (90.9% saved)
53 alts after pruning (49 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 932 | 19 | 951 |
| Fresh | 17 | 30 | 47 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 4 | 4 |
| Total | 954 | 53 | 1 007 |
| Status | Accuracy | Program |
|---|---|---|
| 25.3% | (fma.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) | |
| 25.3% | (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) | |
| ▶ | 25.3% | (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
| 25.3% | (fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (*.f64 #s(literal 100 binary64) n) i))) | |
| 10.4% | (fma.f64 #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i))) | |
| 24.9% | (fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) | |
| 29.9% | (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n)) | |
| 25.2% | (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n (*.f64 #s(literal -100 binary64) n)) i) | |
| ▶ | 25.8% | (/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) i) |
| ✓ | 30.3% | (/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) |
| 30.3% | (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -100 binary64)) n) i) | |
| 51.3% | (/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) n) i) | |
| 73.0% | (/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 #s(literal 100 binary64) (expm1.f64 i))) n) i) | |
| 51.2% | (/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i) | |
| 12.4% | (/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n)))) i) | |
| 29.9% | (+.f64 (/.f64 (*.f64 n #s(literal -100 binary64)) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (*.f64 #s(literal 100 binary64) n) i))) | |
| 29.9% | (*.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64)) (/.f64 n i)) | |
| ▶ | 75.9% | (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) |
| 72.8% | (*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) n))) | |
| 61.2% | (*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 n i)) | |
| 25.3% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 n (neg.f64 i)))) | |
| 25.9% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))) | |
| ✓ | 25.3% | (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) |
| ▶ | 11.0% | (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) |
| 13.1% | (*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (* (pow (+ 1 (/ i n)) n) n) (fma.f64 n i n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) | |
| 17.6% | (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i (neg.f64 n)) i) (*.f64 i (/.f64 i (neg.f64 n))))) | |
| 14.2% | (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i))) | |
| 16.8% | (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (*.f64 i i))) | |
| 29.4% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) n))) | |
| 30.3% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i)) | |
| 15.5% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) | |
| ✓ | 74.0% | (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) |
| 11.5% | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n))) | |
| 19.8% | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i) (*.f64 (*.f64 i i) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)))) (/.f64 i n))) | |
| 5.5% | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n)))) (/.f64 i n))) | |
| 30.0% | (*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i))) | |
| 30.3% | (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal 1 binary64) i) (+.f64 (neg.f64 n) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))) | |
| 55.1% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n))) | |
| 59.0% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) n))) | |
| 45.3% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 i #s(literal 1/3 binary64))) n)) n))) | |
| 12.4% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)) i))) | |
| 16.4% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (/.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i)))) | |
| 12.9% | #s(approx (/ (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) i) (*.f64 (*.f64 n n) (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 (+.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 (log.f64 i) i)) (/.f64 (log.f64 n) i)) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))) i) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) i))) (/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64)) i)))) | |
| 16.2% | #s(approx (+ (* (* (pow (+ (/ i n) 1) n) (/ n i)) 100) (* -100 (/ n i))) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i)) | |
| 11.1% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i)) | |
| 60.8% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(approx (- (exp i) 1) (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) i))) | |
| 60.8% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) | |
| 55.4% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))))) | |
| ✓ | 46.4% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) |
| 60.8% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n)))) | |
| 59.0% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))))))) | |
| 55.4% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) | |
| ▶ | 15.7% | #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) |
Compiled 1 898 to 1 161 computations (38.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) | |
| cost-diff | 0 | (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) | |
| cost-diff | 1024 | (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) | |
| cost-diff | 0 | (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) | |
| cost-diff | 0 | (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) | |
| cost-diff | 0 | (/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) i) | |
| cost-diff | 320 | (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) | |
| cost-diff | 0 | #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) | |
| cost-diff | 128 | (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) | |
| cost-diff | 1024 | (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)) | |
| cost-diff | 0 | #s(approx (/ 0 i) #s(literal 0 binary64)) | |
| cost-diff | 0 | #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) | |
| cost-diff | 0 | (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) |
| 3 716× | lower-fma.f32 |
| 3 710× | lower-fma.f64 |
| 2 440× | lower-*.f32 |
| 2 422× | lower-*.f64 |
| 1 510× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 305 |
| 0 | 70 | 302 |
| 1 | 138 | 289 |
| 2 | 245 | 289 |
| 3 | 414 | 279 |
| 4 | 768 | 279 |
| 5 | 1360 | 279 |
| 6 | 2145 | 279 |
| 7 | 2964 | 279 |
| 8 | 3660 | 279 |
| 9 | 4401 | 279 |
| 10 | 4643 | 279 |
| 11 | 4734 | 279 |
| 12 | 4785 | 279 |
| 13 | 4855 | 279 |
| 14 | 4874 | 279 |
| 15 | 4876 | 279 |
| 16 | 4876 | 279 |
| 17 | 4876 | 279 |
| 18 | 6118 | 279 |
| 19 | 6722 | 279 |
| 20 | 6767 | 279 |
| 21 | 6773 | 279 |
| 22 | 6775 | 279 |
| 23 | 6775 | 279 |
| 24 | 6777 | 279 |
| 25 | 6781 | 279 |
| 26 | 6781 | 279 |
| 27 | 6821 | 279 |
| 28 | 6838 | 279 |
| 0 | 6838 | 274 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) |
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) |
(*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) |
#s(literal 100 binary64) |
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) |
(expm1.f64 i) |
i |
n |
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (/ 0 i) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) |
#s(literal 100 binary64) |
(fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)) |
(*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) |
#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
n |
(/.f64 #s(literal 1 binary64) i) |
i |
(/.f64 (neg.f64 n) i) |
(neg.f64 n) |
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) i) |
(fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) |
n |
#s(literal -100 binary64) |
(*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) |
(*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) |
#s(literal 100 binary64) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(+.f64 (/.f64 i n) #s(literal 1 binary64)) |
(/.f64 i n) |
i |
#s(literal 1 binary64) |
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(*.f64 n (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) |
i |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) |
(/.f64 #s(literal 1 binary64) i) |
#s(literal 100 binary64) |
(*.f64 #s(literal -100 binary64) (/.f64 n i)) |
#s(literal -100 binary64) |
(/.f64 n i) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) |
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 (*.f64 #s(literal 100 binary64) n) i)) |
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) |
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) |
#s(literal 100 binary64) |
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) |
(expm1.f64 i) |
i |
n |
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (/ 0 i) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) |
(*.f64 (/.f64 n i) (fma.f64 #s(literal 100 binary64) #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal -100 binary64))) |
#s(literal 100 binary64) |
(fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)) |
(*.f64 n (/.f64 (+.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal -1 binary64)) i)) |
(*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) |
(*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) |
#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
n |
(/.f64 #s(literal 1 binary64) i) |
i |
(/.f64 (neg.f64 n) i) |
(neg.f64 n) |
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) i) |
(*.f64 (/.f64 n i) (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64))) |
(fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) |
(*.f64 n (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64))) |
n |
#s(literal -100 binary64) |
(*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) |
(*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) |
#s(literal 100 binary64) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) |
(+.f64 (/.f64 i n) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 i n)) |
(/.f64 i n) |
i |
#s(literal 1 binary64) |
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(*.f64 (/.f64 n i) (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64))) |
(*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) |
(*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) |
n |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) |
(+.f64 (/.f64 i n) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 i n)) |
(/.f64 i n) |
i |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) |
(/.f64 #s(literal 100 binary64) i) |
(/.f64 #s(literal 1 binary64) i) |
#s(literal 100 binary64) |
(*.f64 #s(literal -100 binary64) (/.f64 n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
#s(literal -100 binary64) |
(/.f64 n i) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.22418873993272956 | (*.f64 #s(literal -100 binary64) (/.f64 n i)) | |
| accuracy | 0.296875 | (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) | |
| accuracy | 15.060510950367782 | (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) | |
| accuracy | 32.980777599191505 | (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) | |
| accuracy | 0.01953125 | (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) | |
| accuracy | 3.974618561155916 | (/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) i) | |
| accuracy | 15.060510950367782 | (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) | |
| accuracy | 36.78189686532167 | (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) | |
| accuracy | 0.0859375 | (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) | |
| accuracy | 23.01938789315742 | #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) | |
| accuracy | 32.925775258701336 | (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)) | |
| accuracy | 0 | #s(approx (/ 0 i) #s(literal 0 binary64)) | |
| accuracy | 53.2092034725489 | #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) | |
| accuracy | 0.0703125 | (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) | |
| accuracy | 0.08203125 | (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) | |
| accuracy | 0.109375 | (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) | |
| accuracy | 16.648664169574907 | #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) |
| 208.0ms | 145× | 1 | valid |
| 113.0ms | 55× | 2 | valid |
| 15.0ms | 53× | 0 | valid |
| 7.0ms | 2× | 5 | exit |
| 0.0ms | 1× | 1 | exit |
Compiled 286 to 37 computations (87.1% saved)
ival-mult: 83.0ms (29.8% of total)ival-pow: 81.0ms (29.1% of total)adjust: 54.0ms (19.4% of total)ival-add: 31.0ms (11.1% of total)ival-div: 23.0ms (8.3% of total)ival-sub: 3.0ms (1.1% of total)ival-expm1: 2.0ms (0.7% of total)exact: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) (patch (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (patch (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (patch #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #<representation binary64>) () ()) |
#s(alt #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) (patch #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 0 i) #s(literal 0 binary64)) (patch #s(approx (/ 0 i) #s(literal 0 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)) (patch (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) (patch (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (patch (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (patch #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (patch (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) i) (patch (/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) i) #<representation binary64>) () ()) |
#s(alt (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (patch (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (patch (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) (patch (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (patch (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (patch (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 100 n) (taylor 0 i) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)))))))) (taylor 0 i) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)))))))))) (taylor 0 i) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) (taylor inf i) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 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) (taylor inf i) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 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) (taylor inf i) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 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) (taylor inf i) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)) (taylor -inf i) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ())) ()) |
#s(alt (* -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)) (taylor -inf i) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ())) ()) |
#s(alt (* -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)) (taylor -inf i) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ())) ()) |
#s(alt (* -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)) (taylor -inf i) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)) (taylor 0 n) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ())) ()) |
#s(alt (* (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)))) (taylor 0 n) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ())) ()) |
#s(alt (* (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)))))))) (taylor 0 n) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ())) ()) |
#s(alt (* (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))))))))))) (taylor 0 n) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor inf n) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ())) ()) |
#s(alt (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) (taylor inf n) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ())) ()) |
#s(alt (* 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))))) (taylor inf n) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ())) ()) |
#s(alt (* 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)))))) (taylor inf n) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor -inf n) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n))))) (taylor -inf n) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ())) ()) |
#s(alt (* -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))))) (taylor -inf n) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ())) ()) |
#s(alt (* -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))))) (taylor -inf n) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) (patch (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) #<representation binary64>) () ())) ()) |
#s(alt 100 (taylor 0 i) (#s(alt (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) (patch (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))) (taylor 0 i) (#s(alt (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) (patch (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) (patch (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) #<representation binary64>) () ())) ()) |
#s(alt (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))) (taylor 0 i) (#s(alt (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) (patch (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) #<representation binary64>) () ())) ()) |
#s(alt (* 100 (/ (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) i)) (taylor inf i) (#s(alt (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) (patch (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) #<representation binary64>) () ())) ()) |
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#s(alt (* -100 (/ n i)) (taylor -inf n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor -inf n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor -inf n) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor 0 i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor 0 i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor 0 i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor 0 i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor inf i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor inf i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor inf i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor inf i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor -inf i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor -inf i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor -inf i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
#s(alt (* -100 (/ n i)) (taylor -inf i) (#s(alt (*.f64 #s(literal -100 binary64) (/.f64 n i)) (patch (*.f64 #s(literal -100 binary64) (/.f64 n i)) #<representation binary64>) () ())) ()) |
108 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | i | @ | -inf | (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) i) |
| 0.0ms | i | @ | -inf | (/ (+ (* n -100) (* n (* 100 (pow (+ (/ i n) 1) n)))) i) |
| 0.0ms | i | @ | inf | (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) i) |
| 0.0ms | i | @ | -inf | (+ (* n -100) (* n (* 100 (pow (+ (/ i n) 1) n)))) |
| 0.0ms | n | @ | -inf | (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) i) |
| 1× | egg-herbie |
| 9 916× | lower-fma.f64 |
| 9 916× | lower-fma.f32 |
| 7 610× | lower-+.f64 |
| 7 610× | lower-+.f32 |
| 5 800× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1005 | 15595 |
| 1 | 3237 | 14165 |
| 0 | 8161 | 13162 |
| 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)))))))))) |
(* 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 (* 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)) |
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)) |
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i)))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))))))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))))))))) |
(* 100 (/ (* n (- (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)))))) |
(* 100 (/ (* n (- (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))))) |
100 |
(+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))) |
(+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))) |
(* 100 (/ (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) i)) |
(/ (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2))) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2))) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3))) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(* 100 (/ (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1) i)) |
(* -1 (/ (+ (* -100 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -100 (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) |
(* -1 (/ (+ (* -100 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -1 (/ (+ (* 100 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) i)) |
(* -1 (/ (+ (* -100 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (* 100 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i))) i)) (* 100 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i)) |
(* 100 (/ (* n (+ (log i) (* -1 (log n)))) i)) |
(* n (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i)))) |
(* n (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))))))) |
(* n (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))))))))) |
(* 100 (/ (- (exp i) 1) i)) |
(+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))) |
(+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))) |
(+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))) |
(* 100 (/ (- (exp i) 1) i)) |
(+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))) |
(+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i))) n)) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i))) |
(* 100 i) |
(* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n)))))))) |
(* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
(* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) |
(+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) |
(+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2))) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) |
(+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2))) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3))) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) |
(* 100 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) |
(+ (* 100 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) |
(+ (* -1 (/ (+ (* -100 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -100 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)) (* 100 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) |
(+ (* -1 (/ (+ (* -100 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -100 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* 100 (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) i))) i)) (* 100 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) |
(* 100 (* n (+ (log i) (* -1 (log n))))) |
(* n (+ (* 100 (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))) (* 100 (+ (log i) (* -1 (log n)))))) |
(* n (+ (* 100 (+ (log i) (* -1 (log n)))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2)))))) (* 100 (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))) |
(* n (+ (* 100 (+ (log i) (* -1 (log n)))) (* n (+ (* 100 (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)))))))) (* 100 (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))))))))) |
(* 100 (- (exp i) 1)) |
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1))) |
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) |
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))) |
(* 100 (- (exp i) 1)) |
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1))) |
(+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1))) |
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)))))) |
(- (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 (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) |
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1 |
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1 |
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(/ (* n (- (* 100 (exp i)) 100)) i) |
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100 |
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100 |
(+ 100 (* 100 (* n (+ (log i) (* -1 (log n)))))) |
(+ 100 (* n (+ (* 100 (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))) (* 100 (+ (log i) (* -1 (log n))))))) |
(+ 100 (* n (+ (* 100 (+ (log i) (* -1 (log n)))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2)))))) (* 100 (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))) |
(* 100 (exp i)) |
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (exp i))) |
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (exp i)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) |
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (exp i)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))) |
(* 100 (exp i)) |
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (exp i))) |
(+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (exp i))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (exp i))) |
(* 100 (* (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 (- (* 100 (/ (exp i) i)) (* 100 (/ 1 i)))) |
(* n (- (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (exp i) i))) (* 100 (/ 1 i)))) |
(* n (- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (* 100 (/ 1 i)))) |
(* n (- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))))) (* 100 (/ 1 i)))) |
(* -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)))))) |
(/ (+ (* -100 n) (* 100 n)) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* 100 (* i n)))) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))) i) |
(/ (+ (* -100 n) (* 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) |
(* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 n)) i)) |
(* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (+ (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) (* 100 n))) 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)))))))) (* 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))) i)) |
(* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (+ (* -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))) i)) |
(/ 100 i) |
(/ 100 i) |
(/ 100 i) |
(/ 100 i) |
(/ 100 i) |
(/ 100 i) |
(/ 100 i) |
(/ 100 i) |
(/ 100 i) |
(/ 100 i) |
(/ 100 i) |
(/ 100 i) |
n |
(* 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 (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)))))) |
(* n (exp i)) |
(* -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))))) |
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))))))))) |
(* 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)))) |
(* 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)))))))) |
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))))))) |
(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)))) |
(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))) |
1 |
(+ 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)))))))) |
(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))))) |
(exp i) |
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
(* -100 (/ n i)) |
| Outputs |
|---|
(* 100 n) |
(*.f64 #s(literal 100 binary64) n) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (+.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 i (*.f64 #s(literal 100 binary64) (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) (*.f64 #s(literal 100 binary64) n)) |
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
(fma.f64 i (fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))) (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) (*.f64 #s(literal 100 binary64) n)) |
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) 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 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (fma.f64 n (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal -1/2 binary64))) (*.f64 i i))) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) 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 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal -1/2 binary64))) (*.f64 i i)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64))))) (*.f64 i (*.f64 i i))))) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i)))) i) |
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))))) 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)) |
(/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 (*.f64 n (*.f64 n n)) (/.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) i) (*.f64 n (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))))) (neg.f64 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)) |
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(* 100 i) |
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i |
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(* 100 n) |
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100 |
#s(literal 100 binary64) |
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100 |
#s(literal 100 binary64) |
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(* 100 (exp i)) |
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(neg.f64 (*.f64 n (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 i i)) (exp.f64 i)) (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64))))) n) (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))))) n)) (neg.f64 n)) (exp.f64 i)))) |
n |
(+ n (* i n)) |
(fma.f64 n i n) |
(+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))) |
(fma.f64 i (fma.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n) 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))))))))) |
(fma.f64 i (fma.f64 i (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))))) n) n) |
(* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) |
(*.f64 n (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) |
(+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) |
(fma.f64 n (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i)) |
(+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) |
(fma.f64 n (+.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal -1/2 binary64))) (*.f64 i i)))) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i)) |
(+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) |
(fma.f64 n (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal -1/2 binary64))) (*.f64 i i)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64))))) (*.f64 i (*.f64 i i))))) (fma.f64 n (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i))) |
(* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) |
(*.f64 n (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) 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)) |
(fma.f64 (*.f64 n (*.f64 n n)) (/.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) i) (*.f64 n (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) 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)))))))) |
(fma.f64 n (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (fma.f64 n (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal -1/2 binary64))) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i) (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))))) 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)))))))) |
(-.f64 (*.f64 n (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (neg.f64 (fma.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (fma.f64 n (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (neg.f64 (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (*.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/6 binary64)))) i))) (*.f64 (*.f64 n (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal -1/2 binary64))))) i))) i)) |
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 i (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64)) #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 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) |
(exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) |
(fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 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))) |
(fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (fma.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal -1/2 binary64))) (*.f64 i i)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 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)))) |
(fma.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal -1/2 binary64))) (*.f64 i i)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64))))) (*.f64 i (*.f64 i i)))) (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))) |
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) |
(exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) 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)) |
(fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) i) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) 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))) |
(-.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (neg.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 n n (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal -1/2 binary64))) 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))) |
(-.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (neg.f64 (fma.f64 (*.f64 n n) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal -1/2 binary64))) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (*.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/6 binary64)))) i))) i))) i)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* n (+ (log i) (* -1 (log n))))) |
(fma.f64 n (-.f64 (log.f64 i) (log.f64 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 n (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 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 n (fma.f64 n (fma.f64 n (+.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 (log.f64 i) i)) (/.f64 (log.f64 n) i)) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i))) (-.f64 (log.f64 i) (log.f64 n))) #s(literal 1 binary64)) |
(exp i) |
(exp.f64 i) |
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (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 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (*.f64 n n)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) 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))))) |
(fma.f64 (exp.f64 i) (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (*.f64 n n)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (*.f64 n (*.f64 n n)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (exp.f64 i))) |
(exp i) |
(exp.f64 i) |
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (exp.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 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) (exp.f64 i)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)))) (neg.f64 n))) n)) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(-.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) (exp.f64 i)) (/.f64 (-.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)))) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64))))) n)) (neg.f64 n))) n)) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(* -100 (/ n i)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
| 7 572× | lower-fma.f32 |
| 7 566× | lower-fma.f64 |
| 4 108× | lower-*.f32 |
| 4 090× | lower-*.f64 |
| 3 858× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 247 |
| 0 | 70 | 233 |
| 1 | 274 | 229 |
| 2 | 2085 | 221 |
| 0 | 8211 | 207 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) |
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) |
(*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) |
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) |
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (/ 0 i) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) |
(*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) |
#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) |
(fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) |
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) i) |
(*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) |
(*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) |
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) |
(*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(*.f64 #s(literal -100 binary64) (/.f64 n i)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))))) (/.f64 (neg.f64 n) (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)))) |
(/.f64 n (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))))) |
(/.f64 (neg.f64 n) (neg.f64 (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n))))) |
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) i) |
(/.f64 (neg.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n))) (neg.f64 i)) |
(/.f64 (*.f64 n #s(literal 1 binary64)) (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))))) |
(/.f64 (*.f64 n (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal -100 binary64))) (neg.f64 i)) |
(/.f64 (*.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal -100 binary64)) n) (neg.f64 i)) |
(/.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) (neg.f64 (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)))) (neg.f64 (neg.f64 i))) |
(/.f64 (neg.f64 (*.f64 n (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal -100 binary64)))) (neg.f64 (neg.f64 i))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal -100 binary64)) n)) (neg.f64 (neg.f64 i))) |
(pow.f64 (/.f64 i (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n))) #s(literal -1 binary64)) |
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) n)) |
(*.f64 n (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i))) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 n i)) |
(*.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)) n) |
(*.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)) (/.f64 n #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 n (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))))) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) n) #s(literal 1 binary64))) |
(*.f64 (/.f64 n i) (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) #s(literal 1 binary64))) |
(*.f64 (/.f64 n i) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))))) |
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i)) |
(*.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) (/.f64 #s(literal 1 binary64) i)) |
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) (/.f64 (*.f64 #s(literal 100 binary64) n) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))))) |
(*.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal -100 binary64)) i)) |
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal -100 binary64)) #s(literal -1 binary64)) (/.f64 n i)) |
(exp.f64 (*.f64 (log.f64 (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i))) |
(neg.f64 (*.f64 #s(literal -100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i))) |
(neg.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal -100 binary64)) i)) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))))))) |
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal -100 binary64)) (neg.f64 i)) |
(/.f64 (neg.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal -100 binary64))) (neg.f64 (neg.f64 i))) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) #s(literal 1 binary64)) i) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) #s(literal -1 binary64)) (neg.f64 i)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal -100 binary64)))) (neg.f64 (neg.f64 (neg.f64 i)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) #s(literal 1 binary64))) (neg.f64 i)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) #s(literal -1 binary64))) (neg.f64 (neg.f64 i))) |
(pow.f64 (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 i (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i))) |
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 #s(literal 1 binary64) i)) |
(*.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))) |
(*.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -100 binary64) (/.f64 (neg.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i)) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal -100 binary64)) (/.f64 #s(literal -1 binary64) i)) |
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) i) #s(literal 100 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) i)) |
(*.f64 (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal -1 binary64)) (/.f64 #s(literal -100 binary64) i)) |
(*.f64 (/.f64 (neg.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) i)) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) |
(*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) #s(literal 100 binary64)) |
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) |
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (/ 0 i) #s(literal 0 binary64)) |
(+.f64 (/.f64 n (neg.f64 i)) (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i))) |
(+.f64 (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) (/.f64 n (neg.f64 i))) |
(-.f64 (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) (/.f64 n i)) |
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)))) (/.f64 (-.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) (neg.f64 n)) i)) (/.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) (neg.f64 n)) i))) |
(-.f64 (/.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (neg.f64 n) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)))) i)) (/.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)))) (/.f64 (-.f64 (neg.f64 n) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)))) i))) |
(fma.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 i)) (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i))) |
(fma.f64 #s(literal 1 binary64) (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) (/.f64 n (neg.f64 i))) |
(fma.f64 n (/.f64 #s(literal -1 binary64) i) (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i))) |
(fma.f64 n (neg.f64 (/.f64 #s(literal 1 binary64) i)) (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i))) |
(fma.f64 n (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) i)) (/.f64 n (neg.f64 i))) |
(fma.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) (/.f64 n (neg.f64 i))) |
(fma.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (/.f64 n i) (/.f64 n (neg.f64 i))) |
(fma.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))) |
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) (/.f64 n (neg.f64 i))) |
(fma.f64 (/.f64 #s(literal 1 binary64) i) (neg.f64 n) (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i))) |
(fma.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i))) |
(fma.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 n (neg.f64 i))) |
(fma.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) i) (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i))) |
(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 1 binary64) (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i))) |
(fma.f64 (/.f64 n i) #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (/.f64 n (neg.f64 i))) |
(fma.f64 (/.f64 n i) #s(literal -1 binary64) (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i))) |
(fma.f64 (/.f64 n i) (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 n (neg.f64 i))) |
(fma.f64 (/.f64 n i) (/.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 n (neg.f64 i))) |
(fma.f64 (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) #s(literal 1 binary64) (/.f64 n (neg.f64 i))) |
(fma.f64 #s(literal -1 binary64) (/.f64 n i) (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i))) |
(fma.f64 (*.f64 (neg.f64 n) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) i) (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i))) |
(fma.f64 (/.f64 n #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) i) (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i))) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 n #s(literal 1 binary64)) (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) i) #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) n (/.f64 n (neg.f64 i))) |
(fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) (/.f64 n #s(literal 1 binary64)) (/.f64 n (neg.f64 i))) |
(fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) (/.f64 (*.f64 n #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 n (neg.f64 i))) |
(fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (/.f64 n (neg.f64 i))) |
(fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))) (/.f64 n (neg.f64 i))) |
(fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 n i) (/.f64 n (neg.f64 i))) |
(fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (neg.f64 i)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (/.f64 n (neg.f64 i))) |
(fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))) |
(fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) i)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (/.f64 n (neg.f64 i))) |
(fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) n)) (/.f64 #s(literal -1 binary64) i) (/.f64 n (neg.f64 i))) |
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(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)) (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (neg.f64 n))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 (*.f64 n #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n))) (*.f64 n #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 1 binary64)) n) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal -1 binary64)) (neg.f64 n)) |
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64))) n)) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))) n)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) n)) |
(*.f64 (pow.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)) n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64))) n)) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64))))) |
(neg.f64 (*.f64 #s(literal 100 binary64) (/.f64 n i))) |
(neg.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64))) |
(/.f64 #s(literal 100 binary64) (neg.f64 (/.f64 i n))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n #s(literal -100 binary64)))) |
(/.f64 #s(literal -100 binary64) (/.f64 i n)) |
(/.f64 (*.f64 n #s(literal -100 binary64)) i) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))))) |
(/.f64 (*.f64 #s(literal 100 binary64) n) (neg.f64 i)) |
(/.f64 (neg.f64 (*.f64 n #s(literal -100 binary64))) (neg.f64 i)) |
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) n)) (neg.f64 (neg.f64 i))) |
(/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i) |
(/.f64 (*.f64 #s(literal -100 binary64) (neg.f64 n)) (neg.f64 i)) |
(/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i) |
(/.f64 (*.f64 (neg.f64 n) #s(literal -100 binary64)) (neg.f64 i)) |
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n))) (neg.f64 i)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64))) (neg.f64 i)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 n #s(literal -100 binary64)))) (neg.f64 (neg.f64 i))) |
(/.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (neg.f64 n))) (neg.f64 (neg.f64 i))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 n) #s(literal -100 binary64))) (neg.f64 (neg.f64 i))) |
(pow.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 100 binary64) (/.f64 n (neg.f64 i))) |
(*.f64 n (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -100 binary64))) |
(*.f64 n (/.f64 #s(literal -100 binary64) i)) |
(*.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i)) |
(*.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64)) |
(*.f64 #s(literal -100 binary64) (/.f64 n i)) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (neg.f64 n) #s(literal 1 binary64))) |
(*.f64 (/.f64 n i) #s(literal -100 binary64)) |
(*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i)) |
(*.f64 (/.f64 n #s(literal 1 binary64)) (/.f64 #s(literal -100 binary64) i)) |
(*.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) (/.f64 #s(literal 1 binary64) i)) |
(*.f64 (/.f64 #s(literal -100 binary64) i) (/.f64 n #s(literal 1 binary64))) |
(*.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) i)) |
Compiled 30 905 to 2 523 computations (91.8% saved)
67 alts after pruning (61 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 907 | 32 | 939 |
| Fresh | 15 | 29 | 44 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 925 | 67 | 992 |
| Status | Accuracy | Program |
|---|---|---|
| 25.3% | (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 (*.f64 #s(literal 100 binary64) n) #s(literal 1 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) i)) | |
| 10.7% | (fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) | |
| 10.9% | (fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) (/.f64 (*.f64 n #s(literal -100 binary64)) i)) | |
| 25.3% | (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) | |
| 11.0% | (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) i)) | |
| 25.3% | (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 #s(literal 100 binary64) i) (*.f64 #s(literal -100 binary64) (/.f64 n i))) | |
| 10.4% | (fma.f64 (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) #s(literal 100 binary64) (/.f64 (*.f64 n #s(literal -100 binary64)) i)) | |
| 11.0% | (fma.f64 (*.f64 n #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) | |
| 25.4% | (fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) i)) | |
| 11.0% | (fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) | |
| 13.6% | (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) i)) | |
| 10.4% | (fma.f64 #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i))) | |
| 11.5% | (fma.f64 n (/.f64 #s(literal -100 binary64) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) | |
| 11.4% | (fma.f64 n (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -100 binary64)) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) | |
| 29.9% | (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n)) | |
| 1.6% | (/.f64 (fma.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i))) #s(literal -1000000 binary64) (*.f64 (*.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1000000 binary64) (*.f64 i (*.f64 i i))))) (fma.f64 (/.f64 (*.f64 n n) (*.f64 i i)) #s(literal 10000 binary64) (-.f64 (*.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) (*.f64 (/.f64 (*.f64 n #s(literal -100 binary64)) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))))) | |
| 25.9% | (/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 100 binary64))) i) | |
| 13.6% | (/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n #s(approx (* 100 (pow (+ (/ i n) 1) n)) (fma.f64 #s(literal 100 binary64) i #s(literal 100 binary64))))) i) | |
| 11.7% | (/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n #s(approx (* 100 (pow (+ (/ i n) 1) n)) #s(literal 100 binary64)))) i) | |
| 6.4% | (/.f64 (-.f64 (*.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) (/.f64 (*.f64 #s(literal 10000 binary64) (*.f64 n n)) (*.f64 i i))) (/.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)))) (*.f64 #s(literal 100 binary64) (neg.f64 n))) i)) | |
| ✓ | 30.3% | (/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) |
| 30.3% | (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -100 binary64)) n) i) | |
| 73.1% | (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) i) | |
| 51.3% | (/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) n) i) | |
| 12.4% | (/.f64 #s(approx (+ (* n -100) (* n (* 100 (pow (+ (/ i n) 1) n)))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n)))) i) | |
| 51.2% | (/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i) | |
| 29.9% | (+.f64 (/.f64 (*.f64 n #s(literal -100 binary64)) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (*.f64 #s(literal 100 binary64) n) i))) | |
| 29.9% | (*.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64)) (/.f64 n i)) | |
| 30.3% | (*.f64 (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) n) i) #s(literal 100 binary64)) | |
| ✓ | 75.9% | (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) |
| 11.5% | (*.f64 (/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 (log.f64 i) (log.f64 n)))) i) n) | |
| 46.3% | (*.f64 (/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) i) n) | |
| 72.8% | (*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) n))) | |
| 61.2% | (*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 n i)) | |
| 54.9% | (*.f64 #s(approx (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) i) (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 100 binary64))) n) | |
| 25.3% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 n (neg.f64 i)))) | |
| 11.0% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i)))) | |
| ✓ | 25.3% | (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) |
| 13.1% | (*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (* (pow (+ 1 (/ i n)) n) n) (fma.f64 n i n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) | |
| 11.0% | (*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) (/.f64 n (neg.f64 i)))) | |
| 11.6% | (*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal -1 binary64) i) (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)))) | |
| 14.2% | (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i))) | |
| 4.5% | (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) (neg.f64 (/.f64 i n)) i) (*.f64 i (neg.f64 (/.f64 i n))))) | |
| 12.7% | (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) i (*.f64 i (neg.f64 n))) (*.f64 i i))) | |
| 15.2% | (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))))) (*.f64 i i))) | |
| 8.2% | (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 #s(literal 1 binary64) i (*.f64 (neg.f64 (/.f64 i n)) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))))) (*.f64 (neg.f64 (/.f64 i n)) i))) | |
| 29.4% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) n))) | |
| 15.5% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) | |
| ✓ | 74.0% | (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) |
| 19.8% | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i) (*.f64 (*.f64 i i) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)))) (/.f64 i n))) | |
| 5.5% | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n)))) (/.f64 i n))) | |
| 30.0% | (*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i))) | |
| 13.9% | (*.f64 #s(literal 100 binary64) (-.f64 (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) (/.f64 n i))) | |
| 59.0% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) n))) | |
| 45.3% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 i #s(literal 1/3 binary64))) n)) n))) | |
| 12.4% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)) i))) | |
| 16.4% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (/.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i)))) | |
| 16.2% | #s(approx (+ (* (* (pow (+ (/ i n) 1) n) (/ n i)) 100) (* -100 (/ n i))) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i)) | |
| 11.1% | #s(approx (* (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) i) n) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i)) | |
| 60.8% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(approx (- (exp i) 1) (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) i))) | |
| 60.8% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) | |
| 55.4% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))))) | |
| ✓ | 46.4% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) |
| 60.8% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n)))) | |
| 59.0% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))))))) | |
| 55.4% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) | |
| ✓ | 15.7% | #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) |
Compiled 3 483 to 1 202 computations (65.5% saved)
| Inputs |
|---|
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) |
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) i) n) |
(/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i) |
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) n) i) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))))))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) n))) |
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n #s(approx (* 100 (pow (+ (/ i n) 1) n)) #s(literal 100 binary64)))) i) |
(/.f64 (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n #s(approx (* 100 (pow (+ (/ i n) 1) n)) (fma.f64 #s(literal 100 binary64) i #s(literal 100 binary64))))) i) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(approx (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) i) (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 100 binary64))) n) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n)))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(fma.f64 #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) (/.f64 n i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) (/.f64 n (neg.f64 i)))) |
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal -1 binary64) i) (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)))) |
(fma.f64 n (/.f64 #s(literal -100 binary64) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) |
(fma.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) i)) |
(fma.f64 (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) #s(literal 100 binary64) (/.f64 (*.f64 n #s(literal -100 binary64)) i)) |
(fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) (/.f64 (*.f64 n #s(literal -100 binary64)) i)) |
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))))) (*.f64 i i))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) i (*.f64 i (neg.f64 n))) (*.f64 i i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (* (pow (+ 1 (/ i n)) n) n) (fma.f64 n i n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) |
(fma.f64 n (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -100 binary64)) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) |
(fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) |
(fma.f64 (*.f64 n #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(approx (- (exp i) 1) (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) i))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i)) (/.f64 i n))) |
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i (fma.f64 (*.f64 i #s(literal 100 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 100 binary64)))) n) i) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 i #s(literal 1/3 binary64))) n)) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i)))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n)))) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) (neg.f64 (/.f64 i n)) i) (*.f64 i (neg.f64 (/.f64 i n))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 #s(literal 1 binary64) i (*.f64 (neg.f64 (/.f64 i n)) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))))) (*.f64 (neg.f64 (/.f64 i n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.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) (fma.f64 (*.f64 i i) #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) (*.f64 n n))) i)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)))) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (*.f64 (*.f64 i (*.f64 i i)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))))) (/.f64 i n))) |
#s(approx (/ (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) i) (fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))))) (*.f64 n #s(literal 100 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i) i))) i) n) |
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i (fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) #s(literal 100 binary64)))) n) i) |
(/.f64 (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i)) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 i (fma.f64 i (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)))) n))) i))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i) (*.f64 (*.f64 i i) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)))) (/.f64 i n))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) (/.f64 (*.f64 #s(literal 10000 binary64) (*.f64 n n)) (*.f64 i i))) (/.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)))) (*.f64 #s(literal 100 binary64) (neg.f64 n))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 n i)) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) |
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 #s(literal 100 binary64) (expm1.f64 i))) n) i) |
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) i) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(*.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64)) (/.f64 n i)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i)) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) n) i) #s(literal 100 binary64)) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -100 binary64)) n) i) |
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) i) |
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 100 binary64))) i) |
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n (*.f64 #s(literal -100 binary64) n)) i) |
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 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 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal 1 binary64) i) (+.f64 (neg.f64 n) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))) |
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 n (neg.f64 i)))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))) |
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) |
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 #s(literal 100 binary64) i) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (*.f64 i i))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) |
(+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(+.f64 (/.f64 (*.f64 n #s(literal -100 binary64)) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (*.f64 #s(literal 100 binary64) n) i))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (*.f64 #s(literal 100 binary64) n) i))) |
(fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) i)) |
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 (*.f64 #s(literal 100 binary64) n) #s(literal 1 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i (neg.f64 n)) i) (*.f64 i (/.f64 i (neg.f64 n))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) n))) |
(/.f64 (fma.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i))) #s(literal -1000000 binary64) (*.f64 (*.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1000000 binary64) (*.f64 i (*.f64 i i))))) (fma.f64 (/.f64 (*.f64 n n) (*.f64 i i)) #s(literal 10000 binary64) (-.f64 (*.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) (*.f64 (/.f64 (*.f64 n #s(literal -100 binary64)) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.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 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)) i))) |
(*.f64 (/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 (log.f64 i) (log.f64 n)))) i) n) |
(/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n)))) i) |
(/.f64 #s(approx (+ (* n -100) (* n (* 100 (pow (+ (/ i n) 1) n)))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n)))) i) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (fma.f64 i (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (/.f64 (expm1.f64 i) i))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) |
#s(approx (+ (* (* (pow (+ (/ i n) 1) n) (/ n i)) 100) (* -100 (/ n i))) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (/.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i)) |
#s(approx (* (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) i) n) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (-.f64 (log1p.f64 (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (log1p.f64 (/.f64 (-.f64 (*.f64 (/.f64 i n) i) i) n))))) (/.f64 i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 n (+.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) i) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i))) (/.f64 #s(literal -1/2 binary64) (*.f64 i (*.f64 i i)))) (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))) |
#s(approx (/ (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) i) (*.f64 (*.f64 n n) (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 (+.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 (log.f64 i) i)) (/.f64 (log.f64 n) i)) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))) i) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) i))) (/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64)) i)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (fma.f64 n (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i (*.f64 i i))) (+.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 4 binary64)) (/.f64 #s(literal 1/24 binary64) i) (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 i i)) (/.f64 #s(literal 1/2 binary64) (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 4 binary64))))) (+.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) i) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i))) (/.f64 #s(literal -1/2 binary64) (*.f64 i (*.f64 i i)))))) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) #s(literal 50 binary64) (/.f64 #s(literal 100 binary64) (*.f64 i i)))) (/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64)) i)))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) |
4 calls:
| 35.0ms | n |
| 34.0ms | i |
| 30.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 29.0ms | (*.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 |
|---|---|---|
| 88.0% | 4 | i |
| 88.6% | 3 | n |
| 95.2% | 4 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 95.2% | 4 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
Compiled 38 to 22 computations (42.1% saved)
| Inputs |
|---|
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) |
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) i) n) |
(/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i) |
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) n) i) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))))))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) n))) |
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n #s(approx (* 100 (pow (+ (/ i n) 1) n)) #s(literal 100 binary64)))) i) |
(/.f64 (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n #s(approx (* 100 (pow (+ (/ i n) 1) n)) (fma.f64 #s(literal 100 binary64) i #s(literal 100 binary64))))) i) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(approx (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) i) (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 100 binary64))) n) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n)))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(fma.f64 #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) (/.f64 n i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) (/.f64 n (neg.f64 i)))) |
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal -1 binary64) i) (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)))) |
(fma.f64 n (/.f64 #s(literal -100 binary64) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) |
(fma.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) i)) |
(fma.f64 (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) #s(literal 100 binary64) (/.f64 (*.f64 n #s(literal -100 binary64)) i)) |
(fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) (/.f64 (*.f64 n #s(literal -100 binary64)) i)) |
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))))) (*.f64 i i))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) i (*.f64 i (neg.f64 n))) (*.f64 i i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (* (pow (+ 1 (/ i n)) n) n) (fma.f64 n i n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) |
(fma.f64 n (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -100 binary64)) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) |
(fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) |
(fma.f64 (*.f64 n #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(approx (- (exp i) 1) (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) i))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i)) (/.f64 i n))) |
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i (fma.f64 (*.f64 i #s(literal 100 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 100 binary64)))) n) i) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 i #s(literal 1/3 binary64))) n)) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i)))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n)))) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) (neg.f64 (/.f64 i n)) i) (*.f64 i (neg.f64 (/.f64 i n))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 #s(literal 1 binary64) i (*.f64 (neg.f64 (/.f64 i n)) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))))) (*.f64 (neg.f64 (/.f64 i n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.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) (fma.f64 (*.f64 i i) #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) (*.f64 n n))) i)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)))) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (*.f64 (*.f64 i (*.f64 i i)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))))) (/.f64 i n))) |
#s(approx (/ (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) i) (fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))))) (*.f64 n #s(literal 100 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i) i))) i) n) |
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i (fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) #s(literal 100 binary64)))) n) i) |
(/.f64 (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i)) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 i (fma.f64 i (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)))) n))) i))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i) (*.f64 (*.f64 i i) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)))) (/.f64 i n))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) (/.f64 (*.f64 #s(literal 10000 binary64) (*.f64 n n)) (*.f64 i i))) (/.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)))) (*.f64 #s(literal 100 binary64) (neg.f64 n))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 n i)) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) |
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 #s(literal 100 binary64) (expm1.f64 i))) n) i) |
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) i) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(*.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64)) (/.f64 n i)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i)) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) n) i) #s(literal 100 binary64)) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -100 binary64)) n) i) |
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) i) |
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 100 binary64))) i) |
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n (*.f64 #s(literal -100 binary64) n)) i) |
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 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 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal 1 binary64) i) (+.f64 (neg.f64 n) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))) |
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 n (neg.f64 i)))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))) |
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) |
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 #s(literal 100 binary64) i) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (*.f64 i i))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) |
(+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(+.f64 (/.f64 (*.f64 n #s(literal -100 binary64)) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (*.f64 #s(literal 100 binary64) n) i))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (*.f64 #s(literal 100 binary64) n) i))) |
(fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) i)) |
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 (*.f64 #s(literal 100 binary64) n) #s(literal 1 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i (neg.f64 n)) i) (*.f64 i (/.f64 i (neg.f64 n))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) n))) |
(/.f64 (fma.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i))) #s(literal -1000000 binary64) (*.f64 (*.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1000000 binary64) (*.f64 i (*.f64 i i))))) (fma.f64 (/.f64 (*.f64 n n) (*.f64 i i)) #s(literal 10000 binary64) (-.f64 (*.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) (*.f64 (/.f64 (*.f64 n #s(literal -100 binary64)) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.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 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)) i))) |
(*.f64 (/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 (log.f64 i) (log.f64 n)))) i) n) |
(/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n)))) i) |
(/.f64 #s(approx (+ (* n -100) (* n (* 100 (pow (+ (/ i n) 1) n)))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n)))) i) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (fma.f64 i (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (/.f64 (expm1.f64 i) i))))) |
| Outputs |
|---|
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (fma.f64 i (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (/.f64 (expm1.f64 i) i))))) |
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) |
4 calls:
| 30.0ms | i |
| 29.0ms | n |
| 27.0ms | (*.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))) |
| 26.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.2% | 2 | i |
| 83.0% | 3 | n |
| 83.7% | 4 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 83.7% | 4 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
Compiled 38 to 22 computations (42.1% saved)
| Inputs |
|---|
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) |
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) i) n) |
(/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i) |
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) n) i) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))))))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) n))) |
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n #s(approx (* 100 (pow (+ (/ i n) 1) n)) #s(literal 100 binary64)))) i) |
(/.f64 (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n #s(approx (* 100 (pow (+ (/ i n) 1) n)) (fma.f64 #s(literal 100 binary64) i #s(literal 100 binary64))))) i) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(approx (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) i) (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 100 binary64))) n) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n)))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(fma.f64 #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) (/.f64 n i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) (/.f64 n (neg.f64 i)))) |
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal -1 binary64) i) (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)))) |
(fma.f64 n (/.f64 #s(literal -100 binary64) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) |
(fma.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) i)) |
(fma.f64 (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) #s(literal 100 binary64) (/.f64 (*.f64 n #s(literal -100 binary64)) i)) |
(fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) (/.f64 (*.f64 n #s(literal -100 binary64)) i)) |
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))))) (*.f64 i i))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) i (*.f64 i (neg.f64 n))) (*.f64 i i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (* (pow (+ 1 (/ i n)) n) n) (fma.f64 n i n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) |
(fma.f64 n (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -100 binary64)) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) |
(fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) |
(fma.f64 (*.f64 n #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(approx (- (exp i) 1) (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) i))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i)) (/.f64 i n))) |
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i (fma.f64 (*.f64 i #s(literal 100 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 100 binary64)))) n) i) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 i #s(literal 1/3 binary64))) n)) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i)))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n)))) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) (neg.f64 (/.f64 i n)) i) (*.f64 i (neg.f64 (/.f64 i n))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 #s(literal 1 binary64) i (*.f64 (neg.f64 (/.f64 i n)) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))))) (*.f64 (neg.f64 (/.f64 i n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.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) (fma.f64 (*.f64 i i) #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) (*.f64 n n))) i)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)))) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (*.f64 (*.f64 i (*.f64 i i)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))))) (/.f64 i n))) |
#s(approx (/ (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) i) (fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))))) (*.f64 n #s(literal 100 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i) i))) i) n) |
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i (fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) #s(literal 100 binary64)))) n) i) |
(/.f64 (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i)) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 i (fma.f64 i (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)))) n))) i))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i) (*.f64 (*.f64 i i) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)))) (/.f64 i n))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) (/.f64 (*.f64 #s(literal 10000 binary64) (*.f64 n n)) (*.f64 i i))) (/.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)))) (*.f64 #s(literal 100 binary64) (neg.f64 n))) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))) |
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) (/.f64 n i)) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))) i) n) |
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 #s(literal 100 binary64) (expm1.f64 i))) n) i) |
(/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) i) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(*.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64)) (/.f64 n i)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i)) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) n) i) #s(literal 100 binary64)) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -100 binary64)) n) i) |
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) i) |
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 100 binary64))) i) |
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n (*.f64 #s(literal -100 binary64) n)) i) |
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 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 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal 1 binary64) i) (+.f64 (neg.f64 n) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))) |
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 n (neg.f64 i)))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))) |
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) |
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 #s(literal 100 binary64) i) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (*.f64 i i))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) |
(+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(+.f64 (/.f64 (*.f64 n #s(literal -100 binary64)) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (*.f64 #s(literal 100 binary64) n) i))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (*.f64 #s(literal 100 binary64) n) i))) |
(fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) i)) |
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 (*.f64 #s(literal 100 binary64) n) #s(literal 1 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i (neg.f64 n)) i) (*.f64 i (/.f64 i (neg.f64 n))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) n))) |
(/.f64 (fma.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i))) #s(literal -1000000 binary64) (*.f64 (*.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1000000 binary64) (*.f64 i (*.f64 i i))))) (fma.f64 (/.f64 (*.f64 n n) (*.f64 i i)) #s(literal 10000 binary64) (-.f64 (*.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) (*.f64 (/.f64 (*.f64 n #s(literal -100 binary64)) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.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 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)) i))) |
(*.f64 (/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 (log.f64 i) (log.f64 n)))) i) n) |
(/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n)))) i) |
(/.f64 #s(approx (+ (* n -100) (* n (* 100 (pow (+ (/ i n) 1) n)))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n)))) i) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n))) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) |
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) |
1 calls:
| 30.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.0% | 3 | n |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) |
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) i) n) |
(/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i) |
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) n) i) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))))))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) n))) |
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n #s(approx (* 100 (pow (+ (/ i n) 1) n)) #s(literal 100 binary64)))) i) |
(/.f64 (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n #s(approx (* 100 (pow (+ (/ i n) 1) n)) (fma.f64 #s(literal 100 binary64) i #s(literal 100 binary64))))) i) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(approx (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) i) (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 100 binary64))) n) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n)))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(fma.f64 #s(approx (* (pow (+ (/ i n) 1) n) (/ n i)) (/.f64 n i)) #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) (/.f64 n i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i) (/.f64 n (neg.f64 i)))) |
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal -1 binary64) i) (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)))) |
(fma.f64 n (/.f64 #s(literal -100 binary64) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) |
(fma.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) i)) |
(fma.f64 (*.f64 n (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) i)) #s(literal 100 binary64) (/.f64 (*.f64 n #s(literal -100 binary64)) i)) |
(fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) (/.f64 (*.f64 n #s(literal -100 binary64)) i)) |
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))))) (*.f64 i i))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) i (*.f64 i (neg.f64 n))) (*.f64 i i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 #s(approx (* (pow (+ 1 (/ i n)) n) n) (fma.f64 n i n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) |
(fma.f64 n (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -100 binary64)) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) |
(fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) |
(fma.f64 (*.f64 n #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(approx (- (exp i) 1) (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) i))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i)) (/.f64 i n))) |
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i (fma.f64 (*.f64 i #s(literal 100 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 100 binary64)))) n) i) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i #s(approx (* n (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 i #s(literal 1/3 binary64))) n)) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i)))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n)))) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) (neg.f64 (/.f64 i n)) i) (*.f64 i (neg.f64 (/.f64 i n))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 #s(literal 1 binary64) i (*.f64 (neg.f64 (/.f64 i n)) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))))) (*.f64 (neg.f64 (/.f64 i n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.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) (fma.f64 (*.f64 i i) #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) (*.f64 n n))) i)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)))) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (*.f64 (*.f64 i (*.f64 i i)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))))) (/.f64 i n))) |
#s(approx (/ (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) i) (fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))))) (*.f64 n #s(literal 100 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 i i) i))) i) n) |
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i (fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) #s(literal 100 binary64)))) n) i) |
(/.f64 (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i)) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 i (fma.f64 i (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)))) n))) i))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (+ (* (* i i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) i) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) i) (*.f64 (*.f64 i i) (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)))) (/.f64 i n))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) (/.f64 (*.f64 #s(literal 10000 binary64) (*.f64 n n)) (*.f64 i i))) (/.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 n #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)))) (*.f64 #s(literal 100 binary64) (neg.f64 n))) i)) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n)))) |
4 calls:
| 17.0ms | n |
| 15.0ms | i |
| 15.0ms | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 13.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.0% | 2 | i |
| 60.8% | 1 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 60.8% | 1 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 69.7% | 3 | n |
Compiled 38 to 22 computations (42.1% saved)
| Inputs |
|---|
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) |
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) i) n) |
(/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i) |
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) n) i) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))))))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) n))) |
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n #s(approx (* 100 (pow (+ (/ i n) 1) n)) #s(literal 100 binary64)))) i) |
(/.f64 (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n #s(approx (* 100 (pow (+ (/ i n) 1) n)) (fma.f64 #s(literal 100 binary64) i #s(literal 100 binary64))))) i) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(approx (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) i) (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 100 binary64))) n) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
1 calls:
| 6.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.7% | 3 | n |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) |
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) i) n) |
(/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i) |
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) n) i) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))))))) |
(*.f64 #s(literal 100 binary64) #s(approx (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i)) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 i (*.f64 n #s(approx (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n))) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) n))) |
(/.f64 (fma.f64 n #s(literal -100 binary64) (*.f64 n #s(approx (* 100 (pow (+ (/ i n) 1) n)) #s(literal 100 binary64)))) i) |
(/.f64 (*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))))))) |
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))))))) |
1 calls:
| 4.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.9% | 3 | n |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) |
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(approx (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (*.f64 #s(literal 100 binary64) i)) i) n) |
(/.f64 #s(approx (* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) n) (*.f64 (*.f64 n i) #s(literal 100 binary64))) i) |
(/.f64 (*.f64 #s(approx (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (*.f64 i #s(literal 100 binary64))) n) i) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) |
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) |
2 calls:
| 3.0ms | n |
| 3.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.0% | 2 | i |
| 64.2% | 3 | n |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) |
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) (/.f64 #s(literal 0 binary64) i)) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) |
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) |
4 calls:
| 2.0ms | n |
| 2.0ms | i |
| 1.0ms | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 1.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.9% | 3 | i |
| 46.4% | 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))) |
| 46.4% | 1 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 55.1% | 3 | n |
Compiled 38 to 22 computations (42.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) |
| Outputs |
|---|
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #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 |
|---|---|---|
| 15.7% | 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))) |
| 15.7% | 1 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 15.7% | 1 | i |
| 15.7% | 1 | n |
Compiled 38 to 22 computations (42.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 0.0 | 1.8128366743210555e-248 |
| 0.0ms | -1.709772437849487e-77 | -5.6663525248717816e-80 |
Compiled 20 to 15 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 1.860078591620279e-179 | 2.1532745950033538e-175 |
| 59.0ms | -2.008906573569237e-181 | -4.860427162732191e-212 |
| 37.0ms | 99× | 2 | valid |
| 22.0ms | 135× | 1 | valid |
| 12.0ms | 215× | 0 | invalid |
| 4.0ms | 70× | 0 | valid |
Compiled 450 to 298 computations (33.8% saved)
ival-pow: 28.0ms (46.8% of total)ival-div: 11.0ms (18.4% of total)adjust: 8.0ms (13.4% of total)ival-add: 4.0ms (6.7% of total)ival-mult: 4.0ms (6.7% of total)ival-sub: 4.0ms (6.7% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.860078591620279e-179 | 2.1532745950033538e-175 |
| 1.0ms | -2.008906573569237e-181 | -4.860427162732191e-212 |
Compiled 362 to 243 computations (32.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.860078591620279e-179 | 2.1532745950033538e-175 |
| 59.0ms | -3.809145541066317e-152 | -2.097424110076671e-164 |
| 26.0ms | 55× | 2 | valid |
| 12.0ms | 75× | 1 | valid |
| 7.0ms | 133× | 0 | invalid |
| 2.0ms | 3× | 3 | valid |
| 2.0ms | 27× | 0 | valid |
Compiled 486 to 321 computations (34% saved)
ival-pow: 23.0ms (56.8% of total)ival-div: 7.0ms (17.3% of total)adjust: 4.0ms (9.9% of total)ival-mult: 3.0ms (7.4% of total)ival-add: 2.0ms (4.9% of total)ival-sub: 2.0ms (4.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.860078591620279e-179 | 2.1532745950033538e-175 |
| 1.0ms | -3.809145541066317e-152 | -2.097424110076671e-164 |
Compiled 470 to 321 computations (31.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.860078591620279e-179 | 2.1532745950033538e-175 |
| 1.0ms | -3.809145541066317e-152 | -2.097424110076671e-164 |
Compiled 416 to 267 computations (35.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 48.0ms | 2.429744987779017e-200 | 8.430179877592158e-195 |
| 1.0ms | -3.809145541066317e-152 | -2.097424110076671e-164 |
| 21.0ms | 36× | 2 | valid |
| 10.0ms | 71× | 1 | valid |
| 5.0ms | 79× | 0 | invalid |
| 3.0ms | 4× | 3 | valid |
| 2.0ms | 33× | 0 | valid |
Compiled 343 to 224 computations (34.7% saved)
ival-pow: 12.0ms (47% of total)ival-div: 5.0ms (19.6% of total)adjust: 3.0ms (11.7% of total)ival-mult: 2.0ms (7.8% of total)ival-sub: 2.0ms (7.8% of total)ival-add: 1.0ms (3.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.429744987779017e-200 | 8.430179877592158e-195 |
| 1.0ms | -3.809145541066317e-152 | -2.097424110076671e-164 |
Compiled 267 to 186 computations (30.3% saved)
| 1× | egg-herbie |
| 42× | *-commutative_binary64 |
| 20× | neg-mul-1_binary64 |
| 14× | unsub-neg_binary64 |
| 14× | +-commutative_binary64 |
| 10× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 813 |
| 1 | 145 | 813 |
| 2 | 154 | 813 |
| 3 | 164 | 813 |
| 4 | 180 | 813 |
| 5 | 201 | 813 |
| 6 | 203 | 813 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -1303703024854071/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) 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 0 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))))) |
(if (<=.f64 n #s(literal -5588894395395147/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (fma.f64 i (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (/.f64 (expm1.f64 i) i))))) (if (<=.f64 n #s(literal 5988203310629131/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))))) |
(if (<=.f64 n #s(literal -5588894395395147/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (if (<=.f64 n #s(literal 5988203310629131/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))))) |
(if (<=.f64 n #s(literal -6483618076376551/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (if (<=.f64 n #s(literal 5988203310629131/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n)))))) |
(if (<=.f64 n #s(literal -6483618076376551/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (if (<=.f64 n #s(literal 5988203310629131/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))) |
(if (<=.f64 n #s(literal -6483618076376551/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))))))) (if (<=.f64 n #s(literal 5988203310629131/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))))))))) |
(if (<=.f64 n #s(literal -6483618076376551/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 5391639299087083/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672 binary64)) #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))))) |
(if (<=.f64 n #s(literal -6483618076376551/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) (if (<=.f64 n #s(literal 5391639299087083/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672 binary64)) #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))))) |
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #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 -1303703024854071/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) 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 0 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))))) |
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 i n)) #s(literal -1303703024854071/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (*.f64 n (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i)) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 i n)) #s(literal 0 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))))) |
(if (<=.f64 n #s(literal -5588894395395147/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (fma.f64 i (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (/.f64 (expm1.f64 i) i))))) (if (<=.f64 n #s(literal 5988203310629131/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))))) |
(if (<=.f64 n #s(literal -5588894395395147/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))) (if (<=.f64 n #s(literal 5988203310629131/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))))) |
(if (<=.f64 n #s(literal -6483618076376551/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (if (<=.f64 n #s(literal 5988203310629131/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n)))))) |
(if (<=.f64 n #s(literal -6483618076376551/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (if (<=.f64 n #s(literal 5988203310629131/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64))))))) |
(if (<=.f64 n #s(literal -6483618076376551/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (if (<=.f64 n #s(literal 5988203310629131/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(approx (/ (- (exp i) 1) i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))) |
(if (<=.f64 n #s(literal -6483618076376551/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))))))) (if (<=.f64 n #s(literal 5988203310629131/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))))))))) |
(if (<=.f64 n #s(literal -6483618076376551/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))) (if (<=.f64 n #s(literal 5391639299087083/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672 binary64)) #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(approx (* (* n 100) (/ (- (exp i) 1) i)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))))) |
(if (<=.f64 n #s(literal -6483618076376551/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) (if (<=.f64 n #s(literal 5391639299087083/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672 binary64)) #s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))))) |
#s(approx (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ (neg n) i))) #s(approx (/ 0 i) #s(literal 0 binary64))) |
| 11 436× | lower-fma.f64 |
| 11 436× | lower-fma.f32 |
| 11 188× | lower-fma.f64 |
| 11 188× | lower-fma.f32 |
| 8 430× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 515 | 3831 |
| 1 | 1624 | 3489 |
| 2 | 5523 | 3268 |
| 0 | 8137 | 2980 |
| 0 | 10 | 44 |
| 0 | 16 | 44 |
| 1 | 73 | 44 |
| 2 | 570 | 44 |
| 3 | 7354 | 44 |
| 0 | 8669 | 38 |
| 0 | 825 | 11884 |
| 1 | 2644 | 10955 |
| 0 | 8287 | 10085 |
| 0 | 1164 | 16049 |
| 1 | 3741 | 14760 |
| 0 | 8617 | 13713 |
| 1× | fuel |
| 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 |
Compiled 940 to 423 computations (55% saved)
Compiled 798 to 230 computations (71.2% saved)
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