
Time bar (total: 11.4s)
| 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)
| 1.8s | 4 592× | 1 | valid |
| 728.0ms | 1 608× | 2 | valid |
| 544.0ms | 2 010× | 0 | valid |
| 186.0ms | 1 988× | 0 | invalid |
| 39.0ms | 46× | 3 | valid |
| 2.0ms | 24× | 1 | exit |
ival-pow: 1.5s (56.8% of total)ival-div: 357.0ms (13.3% of total)ival-sub: 354.0ms (13.2% of total)adjust: 176.0ms (6.6% of total)ival-mult: 157.0ms (5.9% of total)ival-add: 90.0ms (3.4% of total)exact: 9.0ms (0.3% of total)ival-true: 7.0ms (0.3% of total)ival-assert: 4.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 192 | 0 | - | 0 | - | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) |
| 60 | 67 | (6.9222316088647195e-236 -9.375185760913762e+26) | 0 | - | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) |
| 37 | 0 | - | 2 | (8.492043006664115e-20 -3.790373803772392e+303) | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 3 | 0 | - | 3 | (1.801064388113905e+47 4.530695261947411e-137) | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 0 | 0 | - | 0 | - | n |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (/.f64 i n)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | i |
| 0 | 0 | - | 0 | - | (/.f64 i n) |
| 0 | 0 | - | 0 | - | #s(literal 100 binary64) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) | cancellation | 192 | 1 |
pow.f64 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | sensitivity | 104 | 0 |
/.f64 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) | n/u | 34 | 0 |
| ↳ | (/.f64 i n) | underflow | 34 | |
pow.f64 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | oflow-rescue | 23 | 0 |
| ↳ | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | overflow | 32 | |
| ↳ | (/.f64 i n) | overflow | 23 | |
| ↳ | (+.f64 #s(literal 1 binary64) (/.f64 i n)) | overflow | 23 | |
/.f64 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) | n/o | 1 | 0 |
| ↳ | (/.f64 i n) | overflow | 23 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 200 | 0 |
| - | 27 | 29 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 200 | 0 | 0 |
| - | 27 | 0 | 29 |
| number | freq |
|---|---|
| 0 | 29 |
| 1 | 135 |
| 2 | 57 |
| 3 | 35 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 93.0ms | 300× | 1 | valid |
| 66.0ms | 140× | 2 | valid |
| 6.0ms | 70× | 0 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 187 to 44 computations (76.5% saved)
ival-pow: 79.0ms (58.9% of total)ival-div: 18.0ms (13.4% of total)ival-sub: 14.0ms (10.4% of total)adjust: 11.0ms (8.2% of total)ival-mult: 6.0ms (4.5% of total)ival-add: 5.0ms (3.7% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 85 |
| 1 | 82 | 81 |
| 2 | 242 | 77 |
| 3 | 938 | 77 |
| 4 | 3928 | 77 |
| 5 | 6174 | 77 |
| 0 | 10 | 15 |
| 0 | 16 | 15 |
| 1 | 30 | 15 |
| 2 | 56 | 15 |
| 3 | 104 | 15 |
| 4 | 204 | 15 |
| 5 | 479 | 15 |
| 6 | 814 | 15 |
| 7 | 1303 | 15 |
| 8 | 2234 | 15 |
| 9 | 3144 | 15 |
| 10 | 3602 | 15 |
| 11 | 3746 | 15 |
| 12 | 3756 | 15 |
| 13 | 3757 | 15 |
| 14 | 3757 | 15 |
| 15 | 3777 | 15 |
| 16 | 3785 | 15 |
| 17 | 3785 | 15 |
| 0 | 3785 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| Outputs |
|---|
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
Compiled 15 to 10 computations (33.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 25.5% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
Compiled 15 to 10 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | |
| cost-diff | 0 | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) | |
| cost-diff | 128 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) | |
| cost-diff | 384 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 56 |
| 0 | 16 | 56 |
| 1 | 30 | 56 |
| 2 | 56 | 56 |
| 3 | 104 | 56 |
| 4 | 204 | 56 |
| 5 | 479 | 56 |
| 6 | 814 | 56 |
| 7 | 1303 | 56 |
| 8 | 2234 | 56 |
| 9 | 3144 | 56 |
| 10 | 3602 | 56 |
| 11 | 3746 | 56 |
| 12 | 3756 | 56 |
| 13 | 3757 | 56 |
| 14 | 3757 | 56 |
| 15 | 3777 | 56 |
| 16 | 3785 | 56 |
| 17 | 3785 | 56 |
| 0 | 3785 | 55 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
#s(literal 100 binary64) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) |
(+.f64 #s(literal 1 binary64) (/.f64 i n)) |
#s(literal 1 binary64) |
(/.f64 i n) |
i |
n |
| Outputs |
|---|
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
#s(literal 100 binary64) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) i) n) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) |
(pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) |
(+.f64 #s(literal 1 binary64) (/.f64 i n)) |
(-.f64 (/.f64 i n) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 i n) |
i |
n |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12740210877855757 | (*.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 | 8.401669960357092 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) | |
| accuracy | 14.305896345098759 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) | |
| accuracy | 44.35702206234388 | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) |
| 42.0ms | 150× | 1 | valid |
| 36.0ms | 70× | 2 | valid |
| 3.0ms | 35× | 0 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 114 to 22 computations (80.7% saved)
ival-pow: 37.0ms (59.6% of total)adjust: 10.0ms (16.1% of total)ival-div: 7.0ms (11.3% of total)ival-sub: 3.0ms (4.8% of total)ival-mult: 3.0ms (4.8% of total)ival-add: 2.0ms (3.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) |
| Outputs |
|---|
n |
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) |
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(* 100 n) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))) |
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
i |
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
1 |
(+ 1 i) |
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) |
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i) |
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i) |
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) |
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) |
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1) |
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1) |
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) |
(/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i) |
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) |
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i))) i)) |
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i)) |
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i)) |
(- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1) |
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) 1) |
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) 1) |
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) 1) |
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) |
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) |
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) |
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) |
(/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)) |
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i)))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))))))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))))))))) |
(* n (+ (log i) (* -1 (log n)))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))) |
(+ 1 (* n (+ (log i) (* -1 (log n))))) |
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))) |
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))) |
(/ (* n (- (exp i) 1)) i) |
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))) |
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))) |
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))) |
(- (exp i) 1) |
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1) |
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1) |
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1) |
(exp i) |
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) |
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) |
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) |
(* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n))))) |
(* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i))))) |
(* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n))))) |
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) |
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | n | @ | 0 | ((/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n)) |
| 4.0ms | i | @ | inf | ((/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n)) |
| 3.0ms | i | @ | -inf | ((/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n)) |
| 3.0ms | n | @ | inf | ((/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n)) |
| 2.0ms | i | @ | 0 | ((/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 515 | 3778 |
| 1 | 1624 | 3436 |
| 2 | 5565 | 3189 |
| 0 | 8138 | 2913 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
n |
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) |
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(* 100 n) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))) |
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
i |
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
1 |
(+ 1 i) |
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) |
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i) |
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i) |
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) |
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) |
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1) |
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1) |
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) |
(/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i) |
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) |
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i))) i)) |
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i)) |
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)) |
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(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i)) |
(- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1) |
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(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) 1) |
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) |
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(/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)) |
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i)))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))))))) |
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))))))))) |
(* n (+ (log i) (* -1 (log n)))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))) |
(+ 1 (* n (+ (log i) (* -1 (log n))))) |
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))) |
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))) |
(/ (* n (- (exp i) 1)) i) |
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))) |
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))) |
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))) |
(- (exp i) 1) |
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1) |
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1) |
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1) |
(exp i) |
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) |
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) |
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) |
(* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n))))) |
(* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i))))) |
(* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n))))) |
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) |
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
| Outputs |
|---|
n |
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) |
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n) |
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(fma.f64 (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n) |
(* 100 n) |
(*.f64 #s(literal 100 binary64) n) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)) |
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)) |
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
(fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)) |
i |
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i) |
1 |
#s(literal 1 binary64) |
(+ 1 i) |
(+.f64 #s(literal 1 binary64) i) |
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)) |
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64)) |
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i) |
(*.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 n i)) |
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i) |
(/.f64 (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (*.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (/.f64 (pow.f64 n #s(literal 3 binary64)) i))) i) |
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/.f64 (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (*.f64 n (*.f64 (/.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) i) (fma.f64 n n (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i))))) i) |
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/.f64 (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (*.f64 n (*.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (+.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i) i) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64)))) (/.f64 (*.f64 n n) i))))) i) |
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 n i)) #s(literal 100 binary64)) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(*.f64 (/.f64 (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (*.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (/.f64 (pow.f64 n #s(literal 3 binary64)) i))) i) #s(literal 100 binary64)) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (*.f64 n (*.f64 (/.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) i) (fma.f64 n n (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i))))) i)) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (*.f64 n (*.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (+.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i) i) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64)))) (/.f64 (*.f64 n n) i)))))) i) |
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) |
(expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) |
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) |
(fma.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (/.f64 (*.f64 n n) i) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) |
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1) |
(fma.f64 (/.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) i) (fma.f64 n n (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i)) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) |
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1) |
(fma.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (+.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i) i) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64)))) (/.f64 (*.f64 n n) i)) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) |
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) |
(*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) |
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(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) i) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) (/.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64)))) (/.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 4 binary64)))))) n (-.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) i)) (/.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))))) n (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) i) i)))) n (*.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) #s(literal 100 binary64))) n) n) |
(* n (+ (log i) (* -1 (log n)))) |
(*.f64 (-.f64 (log.f64 i) (log.f64 n)) n) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)) n (-.f64 (log.f64 i) (log.f64 n))) n) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) (/.f64 #s(literal 1/2 binary64) (*.f64 i i))) n (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i))) n (-.f64 (log.f64 i) (log.f64 n))) n) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) i) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 4 binary64)) #s(literal 1/24 binary64) (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 i i))) (/.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))))) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 i i))) n (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i))) n (-.f64 (log.f64 i) (log.f64 n))) n) |
(+ 1 (* n (+ (log i) (* -1 (log n))))) |
(fma.f64 (-.f64 (log.f64 i) (log.f64 n)) n #s(literal 1 binary64)) |
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))) |
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)) n (-.f64 (log.f64 i) (log.f64 n))) n #s(literal 1 binary64)) |
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) (/.f64 #s(literal 1/2 binary64) (*.f64 i i))) n (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i))) n (-.f64 (log.f64 i) (log.f64 n))) n #s(literal 1 binary64)) |
(/ (* n (- (exp i) 1)) i) |
(/.f64 (*.f64 (expm1.f64 i) n) i) |
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) (/.f64 (exp.f64 i) n) (/.f64 (expm1.f64 i) i)) n) |
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) (/.f64 (exp.f64 i) n) (fma.f64 (/.f64 (/.f64 (exp.f64 i) i) n) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n) (/.f64 (expm1.f64 i) i))) n) |
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) (/.f64 (exp.f64 i) n) (fma.f64 (/.f64 (exp.f64 i) i) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n) n)) (/.f64 (expm1.f64 i) i))) n) |
(* 100 (/ (* n (- (exp i) 1)) i)) |
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) |
(*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 #s(literal -50 binary64) (/.f64 (*.f64 (exp.f64 i) i) n))) n) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (/.f64 (exp.f64 i) n) (*.f64 (fma.f64 (/.f64 (/.f64 (exp.f64 i) i) n) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n) (/.f64 (expm1.f64 i) i)) #s(literal 100 binary64))) n) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) n) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))))) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 #s(literal -50 binary64) (/.f64 (*.f64 (exp.f64 i) i) n)))) n) |
(- (exp i) 1) |
(expm1.f64 i) |
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1) |
(fma.f64 (*.f64 i (/.f64 (*.f64 (exp.f64 i) i) n)) #s(literal -1/2 binary64) (expm1.f64 i)) |
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1) |
(fma.f64 (/.f64 (exp.f64 i) n) (fma.f64 #s(literal -1/2 binary64) (*.f64 i i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)) (expm1.f64 i)) |
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1) |
(+.f64 (fma.f64 (/.f64 (exp.f64 i) n) (fma.f64 #s(literal -1/2 binary64) (*.f64 i i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (exp.f64 i)) (pow.f64 n #s(literal 3 binary64)))) (expm1.f64 i)) |
(exp i) |
(exp.f64 i) |
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) |
(fma.f64 (*.f64 i (/.f64 (*.f64 (exp.f64 i) i) n)) #s(literal -1/2 binary64) (exp.f64 i)) |
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) |
(fma.f64 (/.f64 (exp.f64 i) n) (fma.f64 #s(literal -1/2 binary64) (*.f64 i i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)) (exp.f64 i)) |
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) |
(+.f64 (fma.f64 (/.f64 (exp.f64 i) n) (fma.f64 #s(literal -1/2 binary64) (*.f64 i i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (exp.f64 i)) (pow.f64 n #s(literal 3 binary64)))) (exp.f64 i)) |
(* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n))))) |
(*.f64 (neg.f64 n) (fma.f64 (*.f64 #s(literal 1/2 binary64) i) (/.f64 (exp.f64 i) n) (/.f64 (expm1.f64 i) (neg.f64 i)))) |
(* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/2 binary64) i (/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n) i))) n) (/.f64 (expm1.f64 i) i)) n) |
(* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 i)) i (/.f64 (*.f64 (/.f64 (exp.f64 i) i) (-.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))))) (neg.f64 n))) n) (/.f64 (expm1.f64 i) i)) n) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n))))) |
(*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 #s(literal -50 binary64) (/.f64 (*.f64 (exp.f64 i) i) n))) n) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n))))) |
(*.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n) i) #s(literal 100 binary64) (*.f64 #s(literal -50 binary64) i))) (neg.f64 n)))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n))))) |
(*.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) (exp.f64 i)) i (/.f64 (*.f64 (exp.f64 i) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) #s(literal -100 binary64)))) (neg.f64 n))) (neg.f64 n)))) |
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) |
(fma.f64 (/.f64 (*.f64 (exp.f64 i) (-.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n))) n) #s(literal -1 binary64) (expm1.f64 i)) |
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) |
(+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 i)) (*.f64 i i) (/.f64 (*.f64 (exp.f64 i) (-.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n))) (neg.f64 n))) (neg.f64 n)) (expm1.f64 i)) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(-.f64 (exp.f64 i) (/.f64 (*.f64 (exp.f64 i) (-.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n))) n)) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(-.f64 (exp.f64 i) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 i)) (*.f64 i i) (/.f64 (*.f64 (exp.f64 i) (-.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n))) (neg.f64 n))) n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 44 |
| 0 | 16 | 44 |
| 1 | 73 | 44 |
| 2 | 570 | 44 |
| 3 | 7363 | 44 |
| 0 | 8678 | 38 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (/.f64 n i)) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)))) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (/.f64 n i)) (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (/.f64 n i)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n)))) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (/.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n)))) (-.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) |
(*.f64 (/.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n)))) (+.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 6 binary64)))) (fma.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (-.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64))) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (/.f64 (neg.f64 i) n) i)) (neg.f64 n)) |
(*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (neg.f64 i) i)) (*.f64 (neg.f64 n) n)) |
(*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (neg.f64 i)) (/.f64 n (/.f64 (neg.f64 i) n))) |
(*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 1 binary64)) (pow.f64 (/.f64 n i) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal -1 binary64)) (neg.f64 n)) |
(*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (/.f64 i n) i)) n) |
(*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 i i)) (*.f64 n n)) |
(*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) (/.f64 n i)) |
(*.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) (*.f64 (/.f64 n i) n)) |
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) #s(literal 1 binary64)) n) |
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) #s(literal -1 binary64)) n) |
(*.f64 (*.f64 (/.f64 n i) (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i))) (neg.f64 n)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (/.f64 (neg.f64 n) i)) |
(*.f64 (pow.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal -1 binary64)) (/.f64 (neg.f64 n) i)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 i n)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64))) (/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))) i)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 i n)) (/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))) (/.f64 i n))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (pow.f64 n #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)) i)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 i n))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n))) (pow.f64 n #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)) i)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n))) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)) (/.f64 i n))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 i)) (/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))) (/.f64 #s(literal -1 binary64) n))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) i) (/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (neg.f64 i)) (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) i) (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n))) (neg.f64 i)) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n))) i) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) (neg.f64 n)) |
(*.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal -1 binary64) n))) |
(*.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 (neg.f64 n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (/.f64 n i)) (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))) (/.f64 n i))) |
(*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)))) (/.f64 i n))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 n i) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 n i)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 3 binary64)) (pow.f64 (/.f64 n i) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 n i) (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 n i)) (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (pow.f64 i #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n)) |
(*.f64 (/.f64 (neg.f64 n) i) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(*.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n) |
(*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i i) n))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (/.f64 (/.f64 n i) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 n i))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i i) n))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 i n))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 n) i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(*.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n))) (/.f64 (/.f64 n i) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n))) (*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)) (/.f64 n i))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i n)))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 3 binary64) n))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)) (/.f64 i n))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 (neg.f64 n) i)) |
(*.f64 (neg.f64 n) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i))) |
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 1 binary64)) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(pow.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n)) i) |
(/.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 (/.f64 i n) i)) (pow.f64 n #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (*.f64 i i)) (pow.f64 n #s(literal -2 binary64))) |
(/.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) (/.f64 i n)) |
(/.f64 (/.f64 (*.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) (/.f64 (/.f64 i n) n)) |
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(fma.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) (-.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 6 binary64)))) (fma.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (-.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64))) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 4 binary64))) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)))) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n)))) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/4 binary64)))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/4 binary64))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64))) n) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal -1 binary64)) n) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal 1 binary64)) n) (pow.f64 (pow.f64 (fma.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)) (/.f64 i n) #s(literal 1 binary64)) #s(literal -1 binary64)) n) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3/2 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/4 binary64))) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) |
(expm1.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)) (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n))))) |
(expm1.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n))) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) n))) |
(expm1.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(-.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) |
(+.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) #s(literal -1 binary64)) |
(+.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)))) |
(+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) |
(+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/4 binary64)))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64))) n) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal -1 binary64)) n)) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal 1 binary64)) n) (pow.f64 (pow.f64 (fma.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)) (/.f64 i n) #s(literal 1 binary64)) #s(literal -1 binary64)) n)) |
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/4 binary64))) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) |
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) |
(pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) n)) |
(pow.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64)) |
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n)) (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n))))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) (log1p.f64 (/.f64 i n))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) n))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
Compiled 18 430 to 2 123 computations (88.5% saved)
30 alts after pruning (29 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 555 | 29 | 584 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 555 | 30 | 585 |
| Status | Accuracy | Program |
|---|---|---|
| 19.2% | (fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) | |
| 6.9% | (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 3 binary64)) (pow.f64 (/.f64 n i) #s(literal 3 binary64))) #s(literal 100 binary64)) (fma.f64 (/.f64 n i) (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 n i)) (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)))) | |
| 14.8% | (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 n i) #s(literal 2 binary64))) #s(literal 100 binary64)) (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 n i))) | |
| 63.3% | (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) n) i) | |
| 69.0% | (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) #s(literal 100 binary64)) (/.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i i) n)) | |
| ▶ | 77.3% | (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) |
| ▶ | 24.4% | (+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
| ▶ | 75.9% | (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
| 75.6% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) | |
| 19.7% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))) | |
| 19.6% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))) | |
| ✓ | 25.5% | (*.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))) |
| ▶ | 10.6% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
| 10.4% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) | |
| 15.2% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) | |
| 18.2% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) | |
| 42.5% | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))) | |
| 14.3% | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n))) | |
| 60.7% | (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))) | |
| 48.2% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))) | |
| 54.9% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) | |
| 50.2% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) | |
| 64.5% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))) | |
| 13.6% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))) | |
| 15.2% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (expm1.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))) (log.f64 (neg.f64 n))) n)) (/.f64 n i)))) | |
| 48.2% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) | |
| 10.7% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n)) n) (fma.f64 n n (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i))) i) (*.f64 (*.f64 #s(literal -100 binary64) n) (expm1.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))) (log.f64 (neg.f64 n))) n)))) (neg.f64 i))) | |
| 73.4% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) | |
| 13.7% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) | |
| ▶ | 50.6% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
Compiled 1 651 to 1 056 computations (36% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) | |
| cost-diff | 0 | (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) | |
| cost-diff | 0 | (/.f64 n i) | |
| cost-diff | 0 | (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) | |
| cost-diff | 0 | (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) | |
| cost-diff | 0 | (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) | |
| cost-diff | 7744 | (+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 128 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) | |
| cost-diff | 384 | (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)) | |
| cost-diff | 512 | (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) | |
| cost-diff | 0 | (*.f64 #s(literal 100 binary64) n) | |
| cost-diff | 0 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) | |
| cost-diff | 0 | (*.f64 (log1p.f64 (/.f64 i n)) n) | |
| cost-diff | 0 | (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) | |
| cost-diff | 0 | (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) | |
| cost-diff | 384 | (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 452 |
| 0 | 81 | 443 |
| 1 | 152 | 443 |
| 2 | 300 | 442 |
| 3 | 688 | 442 |
| 4 | 1973 | 442 |
| 5 | 6200 | 442 |
| 0 | 8164 | 434 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
#s(literal 100 binary64) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(*.f64 (log1p.f64 (/.f64 i n)) n) |
(log1p.f64 (/.f64 i n)) |
(/.f64 i n) |
i |
n |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(literal 100 binary64) n) |
#s(literal 100 binary64) |
n |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
#s(literal 100 binary64) |
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)) |
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) |
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
#s(literal 1/3 binary64) |
(*.f64 n n) |
n |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1/2 binary64) n) |
#s(literal 1/2 binary64) |
i |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) |
#s(literal 1 binary64) |
(/.f64 i n) |
(+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) |
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(+.f64 (/.f64 i n) #s(literal 1 binary64)) |
(/.f64 i n) |
i |
n |
#s(literal 1 binary64) |
#s(literal 100 binary64) |
(*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)) |
(/.f64 (neg.f64 n) i) |
(neg.f64 n) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(/.f64 n i) |
n |
i |
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
#s(literal 100 binary64) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(*.f64 (log1p.f64 (/.f64 i n)) n) |
(log1p.f64 (/.f64 i n)) |
(/.f64 i n) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) |
#s(literal 100 binary64) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(*.f64 (log1p.f64 (/.f64 i n)) n) |
(log1p.f64 (/.f64 i n)) |
(/.f64 i n) |
i |
n |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) n) |
(*.f64 n #s(literal 100 binary64)) |
#s(literal 100 binary64) |
n |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -1/2 binary64) n) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) |
#s(literal 100 binary64) |
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)) |
(/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -1/2 binary64) n) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) n (neg.f64 n)) i) |
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -1/2 binary64) n) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) |
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -1/2 binary64) n) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -1/2 binary64) n) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -1/2 binary64) n) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) |
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) |
(fma.f64 (+.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -1/2 binary64) n) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) i #s(literal 1/2 binary64))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) |
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal -1/3 binary64) (*.f64 n n))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) |
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
#s(literal 1/3 binary64) |
(*.f64 n n) |
n |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1/2 binary64) n) |
#s(literal 1/2 binary64) |
i |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) |
#s(literal 1 binary64) |
(/.f64 i n) |
(+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) |
(*.f64 (/.f64 n i) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) |
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) |
(/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) i) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) |
(+.f64 (/.f64 i n) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 i n)) |
(/.f64 i n) |
i |
n |
#s(literal 1 binary64) |
#s(literal 100 binary64) |
(*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)) |
(/.f64 #s(literal -100 binary64) (/.f64 i n)) |
(/.f64 (neg.f64 n) i) |
(neg.f64 n) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(/.f64 n i) |
n |
i |
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) |
#s(literal 100 binary64) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(*.f64 (log1p.f64 (/.f64 i n)) n) |
(log1p.f64 (/.f64 i n)) |
(/.f64 i n) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1171875 | (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) | |
| accuracy | 5.572985347278251 | (log1p.f64 (/.f64 i n)) | |
| accuracy | 8.42214775918296 | (*.f64 (log1p.f64 (/.f64 i n)) n) | |
| accuracy | 8.787823621556129 | (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) | |
| accuracy | 0.13722376178494128 | (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) | |
| accuracy | 0.16456751178494128 | (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)) | |
| accuracy | 14.305896345098759 | (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) | |
| accuracy | 35.00629129588134 | (+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) | |
| accuracy | 5.84157432592911 | (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) | |
| accuracy | 8.393857460357092 | (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)) | |
| accuracy | 23.98385509275488 | #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) | |
| accuracy | 43.88528804404539 | (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 #s(literal 100 binary64) n) | |
| accuracy | 28.675375988554247 | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) | |
| accuracy | 0.1171875 | (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) | |
| accuracy | 5.572985347278251 | (log1p.f64 (/.f64 i n)) | |
| accuracy | 8.42214775918296 | (*.f64 (log1p.f64 (/.f64 i n)) n) | |
| accuracy | 8.442059512040867 | (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) |
| 207.0ms | 150× | 1 | valid |
| 91.0ms | 70× | 2 | valid |
| 8.0ms | 22× | 0 | valid |
| 6.0ms | 2× | 5 | exit |
| 4.0ms | 12× | 0 | invalid |
Compiled 840 to 91 computations (89.2% saved)
ival-pow: 118.0ms (46.9% of total)ival-mult: 43.0ms (17.1% of total)ival-div: 24.0ms (9.5% of total)adjust: 23.0ms (9.1% of total)ival-add: 14.0ms (5.6% of total)const: 9.0ms (3.6% of total)ival-log1p: 8.0ms (3.2% of total)ival-sub: 6.0ms (2.4% of total)ival-expm1: 3.0ms (1.2% of total)ival-neg: 1.0ms (0.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(*.f64 (log1p.f64 (/.f64 i n)) n) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(literal 100 binary64) n) |
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) |
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) |
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(/.f64 n i) |
(log1p.f64 (/.f64 i n)) |
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)) |
| Outputs |
|---|
(* 100 n) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))) |
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
(* 100 i) |
(* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n)))))))) |
(* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
i |
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* -1/2 (/ i n)))) |
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n)))))) |
(- 1/2 (* 1/2 (/ 1 n))) |
(- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))) |
n |
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) |
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(/ (+ (* -100 n) (* 100 n)) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* 100 (* i n)))) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))) i) |
(* 100 (/ n i)) |
(/ (+ (* 100 n) (* 100 (* i n))) i) |
(/ (+ (* 100 n) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/ (+ (* 100 n) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(/ n i) |
(/ (+ n (* i n)) i) |
(/ (+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))) i) |
(/ (+ n (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/ 1 i) |
(/ (+ 1 i) i) |
(/ (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) i) |
(/ (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) i) |
(/ 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))) |
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))))))) |
(* -100 (/ n i)) |
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(* 100 (- (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))))) |
(- (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) |
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(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))) |
(* n (+ (log i) (+ (* -1 (log n)) (/ n i)))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i)))))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))) |
(* 1/3 (/ i (pow n 2))) |
(/ (+ (* 1/3 i) (* n (- (* -1/2 i) 1/2))) (pow n 2)) |
(/ (+ (* 1/3 i) (* n (- (+ (* -1/2 i) (* n (+ 1/2 (* 1/6 i)))) 1/2))) (pow n 2)) |
(/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(* 100 (* (pow n 2) (+ (* -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 (* n (+ (* -1 (/ (log n) i)) (/ (log i) i)))) (* 100 (/ 1 i)))) |
(* n (+ (* n (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))))) (* 100 (/ 1 i)))) |
(* n (+ (* n (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))))))) (* 100 (/ 1 i)))) |
(* n (+ (* n (+ (* -1 (/ (log n) i)) (/ (log i) i))) (/ 1 i))) |
(* n (+ (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) (/ 1 i))) |
(* n (+ (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) (/ 1 i))) |
(+ (* n (+ (* -1 (/ (log n) i)) (/ (log i) i))) (/ 1 i)) |
(+ (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) (/ 1 i)) |
(+ (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) (/ 1 i)) |
(+ (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))))) |
(+ 1 (* n (+ (log i) (* -1 (log n))))) |
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))) |
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))) |
(* 100 (/ (* 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 (- (exp i) 1)) |
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1))) |
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) |
(+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))) |
(- (exp i) 1) |
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1) |
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1) |
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1) |
(+ i (* -1/2 (/ (pow i 2) n))) |
(+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) |
(+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) |
(+ 1/2 (* 1/6 i)) |
(- (+ 1/2 (+ (* -1/2 (/ i n)) (* 1/6 i))) (* 1/2 (/ 1 n))) |
(- (+ 1/2 (+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2)))))) (* 1/2 (/ 1 n))) |
(/ (* 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 (- (* 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)))) |
(* 100 (/ (* n (exp i)) i)) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (exp i) 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))))))) |
(* 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)))))))) |
(/ (* n (exp i)) i) |
(* n (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i))) |
(* n (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) |
(* n (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))))) |
(/ (exp i) i) |
(+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) |
(+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) |
(+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) |
(/ (+ 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) |
(exp i) |
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) |
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) |
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n))))) |
(+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1))) |
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) |
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) |
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n))) |
(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n))) |
(+ 1/2 (+ (* -1 (/ (+ 1/2 (* 1/2 i)) n)) (* 1/6 i))) |
(+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/3 (/ i n)) (* 1/2 i))) n)) (* 1/6 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))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (* 100 (/ 1 i))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* 50 (/ (* i (exp i)) n)) (* 100 (/ 1 i)))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (/ 1 i)))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (/ 1 i)))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (* 50 (/ (* i (exp i)) n))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n))))) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* 1/2 (/ (* i (exp i)) n))))) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n))))) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n))))) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) |
(* -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)) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | i | @ | inf | ((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (pow (+ (/ i n) 1) n) i) (* (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/ n i) (log (+ 1 (/ i n))) (pow (+ 1 (/ i n)) n) (pow (+ (/ i n) 1) n) (* (/ (neg n) i) 100)) |
| 5.0ms | i | @ | -inf | ((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (pow (+ (/ i n) 1) n) i) (* (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/ n i) (log (+ 1 (/ i n))) (pow (+ 1 (/ i n)) n) (pow (+ (/ i n) 1) n) (* (/ (neg n) i) 100)) |
| 4.0ms | n | @ | -inf | ((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (pow (+ (/ i n) 1) n) i) (* (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/ n i) (log (+ 1 (/ i n))) (pow (+ 1 (/ i n)) n) (pow (+ (/ i n) 1) n) (* (/ (neg n) i) 100)) |
| 4.0ms | n | @ | 0 | ((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (pow (+ (/ i n) 1) n) i) (* (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/ n i) (log (+ 1 (/ i n))) (pow (+ 1 (/ i n)) n) (pow (+ (/ i n) 1) n) (* (/ (neg n) i) 100)) |
| 3.0ms | n | @ | inf | ((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 n) (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (- (pow (+ 1 (/ i n)) n) 1) (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (pow (+ (/ i n) 1) n) i) (* (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/ n i) (log (+ 1 (/ i n))) (pow (+ 1 (/ i n)) n) (pow (+ (/ i n) 1) n) (* (/ (neg n) i) 100)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1042 | 9513 |
| 1 | 3272 | 8694 |
| 0 | 8158 | 8078 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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i |
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(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) |
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) |
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n))))) |
(+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1))) |
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) |
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) |
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n))) |
(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n))) |
(+ 1/2 (+ (* -1 (/ (+ 1/2 (* 1/2 i)) n)) (* 1/6 i))) |
(+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/3 (/ i n)) (* 1/2 i))) n)) (* 1/6 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))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (* 100 (/ 1 i))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* 50 (/ (* i (exp i)) n)) (* 100 (/ 1 i)))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (/ 1 i)))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (/ 1 i)))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (* 50 (/ (* i (exp i)) n))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n))))) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* 1/2 (/ (* i (exp i)) n))))) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n))))) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n))))) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) |
(* -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)) |
(+ (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 |
|---|
(* 100 n) |
(*.f64 #s(literal 100 binary64) n) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)) |
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))) |
(fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)) |
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 100 binary64))) i (*.f64 #s(literal 100 binary64) n)) |
(* 100 i) |
(*.f64 #s(literal 100 binary64) i) |
(* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i) |
(* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n)))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64)) i) |
(* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/2 binary64) n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 100 binary64))) i #s(literal 100 binary64)) i) |
i |
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i) |
(* i (+ 1 (* -1/2 (/ i n)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) #s(literal 1 binary64)) i) |
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i) |
(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n)))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (/.f64 i (pow.f64 n #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) i (/.f64 #s(literal -1/2 binary64) n)) i) i i) |
(- 1/2 (* 1/2 (/ 1 n))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) |
(- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))) |
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) |
n |
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) |
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n) |
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n) |
(/ (+ (* -100 n) (* 100 n)) i) |
(/.f64 #s(literal 0 binary64) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* 100 (* i n)))) i) |
(/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)) i #s(literal 0 binary64)) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))) i) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)) i #s(literal 0 binary64)) i) |
(* 100 (/ n i)) |
(*.f64 (/.f64 n i) #s(literal 100 binary64)) |
(/ (+ (* 100 n) (* 100 (* i n))) i) |
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n i n)) i) |
(/ (+ (* 100 n) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)) i (*.f64 #s(literal 100 binary64) n)) i) |
(/ (+ (* 100 n) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)) i (*.f64 #s(literal 100 binary64) n)) i) |
(/ n i) |
(/.f64 n i) |
(/ (+ n (* i n)) i) |
(/.f64 (fma.f64 n i n) i) |
(/ (+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))) i) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) i n) i) |
(/ (+ n (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n) i n) i) |
(/ 1 i) |
(/.f64 #s(literal 1 binary64) i) |
(/ (+ 1 i) i) |
(/.f64 (+.f64 #s(literal 1 binary64) i) i) |
(/ (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) i) |
(/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)) i) |
(/ (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) i) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64)) i) |
(/ i n) |
(/.f64 i n) |
(* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n))) |
(*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i) |
(* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 i (pow.f64 n #s(literal 3 binary64))) #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) i (/.f64 #s(literal 1 binary64) n)) i) |
(* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 i (pow.f64 n #s(literal 4 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 3 binary64)))) i (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) i (/.f64 #s(literal 1 binary64) n)) i) |
1 |
#s(literal 1 binary64) |
(+ 1 i) |
(+.f64 #s(literal 1 binary64) i) |
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)) |
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64)) |
(* -100 (/ n i)) |
(*.f64 (/.f64 n i) #s(literal -100 binary64)) |
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) |
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n) i) #s(literal 100 binary64)) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (pow.f64 n #s(literal 3 binary64))) i))) i) |
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(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))))))))) |
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(* 100 (* n (+ (log i) (* -1 (log n))))) |
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(* 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))))))))))) |
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(* n (+ (log i) (* -1 (log n)))) |
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(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))) |
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(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))) |
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(* n (+ (log i) (+ (* -1 (log n)) (/ n i)))) |
(*.f64 (+.f64 (-.f64 (/.f64 n i) (log.f64 n)) (log.f64 i)) n) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i)))))) |
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(* 1/3 (/ i (pow n 2))) |
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(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
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(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* 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)))) |
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(* 100 (* (pow n 2) (+ (* -1 (/ (log n) i)) (/ (log i) i)))) |
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(* (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))))) |
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(* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))))))) |
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(* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))))))))) |
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(* n (+ (* 100 (* n (+ (* -1 (/ (log n) i)) (/ (log i) i)))) (* 100 (/ 1 i)))) |
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) |
(-.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) i) (exp.f64 i) (/.f64 (fma.f64 (/.f64 (exp.f64 i) (neg.f64 i)) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n) (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i))) (neg.f64 n))) n)) |
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n)) |
(/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal 1/2 binary64) (neg.f64 i)) (neg.f64 n)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n)) |
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 1/3 binary64) (*.f64 (*.f64 i i) #s(literal -1/2 binary64))) n) i)) (neg.f64 n)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal 1/4 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (neg.f64 n))) (neg.f64 n)) i) (neg.f64 n)) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(-.f64 (exp.f64 i) (/.f64 (fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (neg.f64 n))) n)) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(-.f64 (exp.f64 i) (/.f64 (fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i) (/.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (exp.f64 i)) (neg.f64 n))) (neg.f64 n))) n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 305 |
| 0 | 81 | 296 |
| 1 | 338 | 296 |
| 2 | 2679 | 285 |
| 0 | 8517 | 284 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(*.f64 (log1p.f64 (/.f64 i n)) n) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(literal 100 binary64) n) |
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) |
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) |
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(/.f64 n i) |
(log1p.f64 (/.f64 i n)) |
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) i)) (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (+.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64))) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 n) i)) |
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (*.f64 #s(literal 1 binary64) i)) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal -1 binary64)) (/.f64 i n))) (/.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal -1 binary64)) (/.f64 i n)))) |
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 #s(literal -1 binary64) n)) (pow.f64 (neg.f64 i) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (pow.f64 n #s(literal -1 binary64))) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -100 binary64) i) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 (pow.f64 n #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal -100 binary64) i) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal -1 binary64) n))) |
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) n)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i))) |
(*.f64 (/.f64 #s(literal 100 binary64) (*.f64 #s(literal 1 binary64) i)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) (/.f64 #s(literal 100 binary64) (neg.f64 (pow.f64 n #s(literal -1 binary64))))) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) (/.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) n))) |
(*.f64 (/.f64 #s(literal 100 binary64) (neg.f64 i)) (/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 100 binary64) (neg.f64 i)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal -1 binary64) n))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal -1 binary64)) (/.f64 #s(literal -100 binary64) (/.f64 i n))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 #s(literal 1 binary64) i)) (/.f64 #s(literal 100 binary64) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal -1 binary64) n)) (/.f64 #s(literal 100 binary64) (neg.f64 i))) |
(*.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (neg.f64 (pow.f64 n #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 #s(literal -1 binary64) n))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal -1 binary64))) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i))) |
(*.f64 (pow.f64 (/.f64 i #s(literal 100 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n))) |
(*.f64 (*.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) (neg.f64 n)) |
(*.f64 (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal -1 binary64)) (/.f64 n i)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) (/.f64 #s(literal -100 binary64) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) (/.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) n))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 100 binary64) i) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) |
(*.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i (neg.f64 n)))) |
(*.f64 (pow.f64 (neg.f64 i) #s(literal -1 binary64)) (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 #s(literal -1 binary64) n))) |
(*.f64 (/.f64 n #s(literal 1 binary64)) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i))) |
(*.f64 (/.f64 #s(literal 100 binary64) (pow.f64 n #s(literal -1 binary64))) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (pow.f64 n #s(literal -1 binary64))) (/.f64 #s(literal 100 binary64) i)) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 #s(literal -1 binary64) n))) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) n) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (/.f64 #s(literal 100 binary64) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (/.f64 #s(literal -100 binary64) (/.f64 #s(literal -1 binary64) n))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (pow.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 100 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (/.f64 #s(literal 100 binary64) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) (*.f64 n #s(literal 100 binary64))) |
(*.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (fma.f64 #s(literal 10000 binary64) (pow.f64 (*.f64 (/.f64 n i) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) #s(literal 2 binary64)))) (pow.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal -1 binary64)) (/.f64 i n))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 i #s(literal -1 binary64)) (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 i #s(literal -1 binary64)) (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (pow.f64 i #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (pow.f64 n #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 n i) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) #s(literal 3 binary64)) #s(literal 1000000 binary64) (pow.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 10000 binary64) (pow.f64 (*.f64 (/.f64 n i) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (/.f64 (-.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) (*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) (*.f64 n #s(literal 100 binary64)))) i))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 (neg.f64 n) i)) |
(*.f64 (/.f64 n i) (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 n i) (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal -1 binary64))) |
(*.f64 (/.f64 n i) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64)) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 (/.f64 n i) #s(literal 100 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 n i)) |
(*.f64 n (*.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)))) |
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(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
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(*.f64 (neg.f64 n) (pow.f64 (neg.f64 i) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 n i)) |
(*.f64 n (pow.f64 i #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 n i) #s(literal 1 binary64)) |
(pow.f64 (/.f64 i n) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) (neg.f64 i)) |
(/.f64 (*.f64 n #s(literal 1 binary64)) i) |
(/.f64 (neg.f64 (pow.f64 i #s(literal -1 binary64))) (neg.f64 (pow.f64 n #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 i n) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 i (neg.f64 n))) |
(/.f64 (pow.f64 i #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))) |
(/.f64 (neg.f64 n) (neg.f64 (neg.f64 (neg.f64 i)))) |
(/.f64 (neg.f64 n) (neg.f64 i)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 i n)) |
(/.f64 n (neg.f64 (neg.f64 i))) |
(/.f64 n i) |
(neg.f64 (/.f64 (neg.f64 n) i)) |
(-.f64 (/.f64 #s(literal 0 binary64) i) (/.f64 (neg.f64 n) i)) |
(exp.f64 (*.f64 (log.f64 (/.f64 i n)) #s(literal -1 binary64))) |
(log1p.f64 (/.f64 i n)) |
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 n i) #s(literal -2 binary64)))))) |
(neg.f64 (log.f64 (/.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(neg.f64 (log.f64 (/.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 n i) #s(literal -3 binary64)) #s(literal 1 binary64))))) |
(neg.f64 (log.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 i n)) (+.f64 (pow.f64 (/.f64 n i) #s(literal -3 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 n i) #s(literal -2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 n i) #s(literal -3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 n i) #s(literal -3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 i n))))) |
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)))) (log1p.f64 (/.f64 i (neg.f64 n)))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)))) |
(-.f64 (log1p.f64 (pow.f64 (/.f64 n i) #s(literal -3 binary64))) (log1p.f64 (*.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (pow.f64 (/.f64 n i) #s(literal -3 binary64))) (log.f64 (-.f64 (+.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 i n)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 n i) #s(literal -2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 n i) #s(literal -3 binary64)) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 i n)) (+.f64 (pow.f64 (/.f64 n i) #s(literal -3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal -1 binary64)))) |
(+.f64 (log.f64 (-.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64))) (log.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (log1p.f64 (pow.f64 (/.f64 n i) #s(literal -3 binary64))) (log.f64 (pow.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (log1p.f64 (pow.f64 (/.f64 n i) #s(literal -3 binary64))) (log.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -1 binary64)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n))) |
(*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64)))) |
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 n i) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (-.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 (pow.f64 (/.f64 n i) #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 n i) #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 n i) #s(literal -2 binary64))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.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 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (-.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 (pow.f64 (/.f64 n i) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #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 (pow.f64 (/.f64 n i) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 n i) #s(literal -2 binary64))) n) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal -1 binary64)) n)) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64)) n) (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal -1 binary64)) n)) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 n i) #s(literal -3 binary64)) #s(literal 1 binary64)) n) (pow.f64 (pow.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) n)) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 n i) #s(literal -3 binary64)) #s(literal 1 binary64)) n) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -1 binary64)) n)) |
(*.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 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal -1 binary64)) (neg.f64 n)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 1 binary64)) n) |
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) (*.f64 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 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) 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 (+.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)) (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)) n) |
(/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (neg.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64))))) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i (neg.f64 n))))) |
(/.f64 (pow.f64 (exp.f64 n) (log.f64 (-.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64)))) (pow.f64 (exp.f64 n) (log.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64))))) |
(/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (pow.f64 (/.f64 n i) #s(literal -3 binary64)))) (pow.f64 (exp.f64 n) (log1p.f64 (*.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)))))) |
(/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (pow.f64 (/.f64 n i) #s(literal -3 binary64)))) (pow.f64 (exp.f64 n) (log.f64 (-.f64 (+.f64 (pow.f64 (/.f64 n i) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 i n))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (neg.f64 n))) |
(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))))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 n)) (log1p.f64 (/.f64 i n)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64))) (*.f64 n #s(literal 1/2 binary64)))) |
(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 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(*.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) i)) |
(*.f64 #s(literal -100 binary64) (/.f64 n i)) |
(*.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)) |
(*.f64 (neg.f64 n) (*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 100 binary64))) |
(*.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (neg.f64 n) i)) |
(pow.f64 (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)))) (neg.f64 (neg.f64 i))) |
(/.f64 #s(literal -100 binary64) (/.f64 i n)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64))) (neg.f64 i)) |
(/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) (neg.f64 (neg.f64 i))) |
(/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64))))) |
(/.f64 (*.f64 n #s(literal 100 binary64)) (neg.f64 i)) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64)))) |
(/.f64 #s(literal 100 binary64) (/.f64 i (neg.f64 n))) |
(neg.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64))) |
Compiled 45 485 to 4 180 computations (90.8% saved)
50 alts after pruning (47 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 101 | 34 | 1 135 |
| Fresh | 11 | 13 | 24 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 115 | 50 | 1 165 |
| Status | Accuracy | Program |
|---|---|---|
| 19.2% | (fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) | |
| 63.3% | (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) n) i) | |
| 60.6% | (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)))) (/.f64 i n)) | |
| 14.3% | (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) (/.f64 i n)) | |
| 60.7% | (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) (/.f64 i n)) | |
| ▶ | 42.4% | (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) (/.f64 i n)) |
| 37.3% | (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64)) i)) (/.f64 i n)) | |
| 45.5% | (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) | |
| 10.6% | (/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)))) | |
| ▶ | 76.6% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) |
| 22.7% | (+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i)) | |
| 24.4% | (+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) | |
| 10.8% | (+.f64 (*.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64)) i)) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) | |
| 17.4% | (+.f64 (*.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) | |
| 11.0% | (*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) | |
| ✓ | 75.9% | (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
| 58.8% | (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (/.f64 i n)) n)))) | |
| 15.3% | (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)))) | |
| ▶ | 50.9% | (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) n)))) |
| 53.0% | (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) i))))) | |
| 59.6% | (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i))))) | |
| 41.8% | (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)))) | |
| 14.3% | (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)))) | |
| 41.8% | (*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i))) | |
| 36.7% | (*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64)) i))) | |
| 44.3% | (*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i))) | |
| 75.6% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) | |
| 19.7% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))) | |
| 19.6% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))) | |
| ✓ | 25.5% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 14.5% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) | |
| ▶ | 10.3% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
| 15.2% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) | |
| 12.1% | (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) n) i)) | |
| 10.6% | (*.f64 #s(literal 100 binary64) (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 n i)) (/.f64 n i))) | |
| 48.2% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))) | |
| 50.2% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))) | |
| 54.9% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) | |
| 50.2% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) | |
| 64.5% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))) | |
| 13.6% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))) | |
| 15.2% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (expm1.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))) (log.f64 (neg.f64 n))) n)) (/.f64 n i)))) | |
| 50.2% | #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) | |
| 45.5% | #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)) | |
| 47.9% | #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)) i #s(literal 0 binary64)) i)) | |
| ▶ | 18.5% | #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
| 73.4% | #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) | |
| 48.2% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) | |
| 13.7% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) | |
| ✓ | 50.6% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
Compiled 2 925 to 1 953 computations (33.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) n))) | |
| cost-diff | 0 | (/.f64 n i) | |
| cost-diff | 0 | (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) n)))) | |
| cost-diff | 704 | (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i) | |
| cost-diff | 128 | (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) | |
| cost-diff | 128 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) | |
| cost-diff | 384 | (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)) | |
| cost-diff | 1472 | (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i) | |
| cost-diff | 0 | #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) | |
| cost-diff | 320 | (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) | |
| cost-diff | 384 | (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) (/.f64 i n)) | |
| cost-diff | 0 | #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) | |
| cost-diff | 704 | (/.f64 #s(literal 0 binary64) i) | |
| cost-diff | 0 | (/.f64 i n) | |
| cost-diff | 0 | (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) | |
| cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 808 |
| 0 | 122 | 800 |
| 1 | 221 | 799 |
| 2 | 495 | 777 |
| 3 | 1384 | 773 |
| 4 | 5106 | 751 |
| 0 | 8163 | 710 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
#s(literal 1/100 binary64) |
(/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(/.f64 i n) |
i |
n |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(*.f64 (log1p.f64 (/.f64 i n)) n) |
(log1p.f64 (/.f64 i n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
(/.f64 #s(literal 0 binary64) i) |
#s(literal 0 binary64) |
i |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) (/.f64 i n)) |
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i) |
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) |
(-.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) |
n |
i |
#s(literal 100 binary64) |
(/.f64 i n) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
#s(literal 100 binary64) |
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)) |
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) |
#s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) |
(*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)))) |
(neg.f64 i) |
i |
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) |
(-.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) |
n |
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
#s(literal 1/3 binary64) |
(*.f64 n n) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 i n) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) n)))) |
(/.f64 n i) |
n |
i |
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) n))) |
#s(literal 100 binary64) |
(expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) n)) |
(*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) n) |
#s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) |
(*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i) |
(fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) |
(/.f64 i (*.f64 n n)) |
(*.f64 n n) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 1 binary64) n) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/100 binary64) n) i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
#s(literal 1/100 binary64) |
(/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(/.f64 i n) |
i |
n |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(*.f64 (log1p.f64 (/.f64 i n)) n) |
(log1p.f64 (/.f64 i n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(literal 0 binary64)) |
(/.f64 #s(literal 0 binary64) i) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
i |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal -50 binary64) n) #s(literal 50 binary64)) i #s(literal 100 binary64)) i))) |
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) |
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal -50 binary64) n) #s(literal 50 binary64)) i #s(literal 100 binary64)) i)) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal -50 binary64) n) #s(literal 50 binary64)) i #s(literal 100 binary64)) i) |
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) |
(fma.f64 (+.f64 (/.f64 #s(literal -50 binary64) n) #s(literal 50 binary64)) i #s(literal 100 binary64)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) |
(-.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) |
n |
i |
#s(literal 100 binary64) |
(/.f64 i n) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal -1/6 binary64)) i (fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) |
#s(literal 100 binary64) |
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)) |
(*.f64 (/.f64 n i) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal -1/6 binary64)) i (fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal -1/6 binary64)) i (fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) |
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal -1/6 binary64)) i (fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal -1/6 binary64)) i (fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)))) i #s(literal 1 binary64)) i #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal -1/6 binary64)) i (fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)))) i #s(literal 1 binary64)) |
#s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) |
#s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal -1/6 binary64)) i (fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal -1/6 binary64)) i (fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) |
(neg.f64 i) |
i |
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) |
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) i) (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal -1/3 binary64) (*.f64 n n)))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) i) |
(-.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) |
n |
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) |
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal -1/3 binary64) (*.f64 n n))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) |
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal -1/6 binary64)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
#s(literal 1/3 binary64) |
(*.f64 n n) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 i n) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) n)))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) i #s(literal 1 binary64)) (/.f64 i n))) n)) (/.f64 n i)) #s(literal 100 binary64)) |
(/.f64 n i) |
n |
i |
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) n))) |
(*.f64 (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) i #s(literal 1 binary64)) (/.f64 i n))) n)) #s(literal 100 binary64)) |
#s(literal 100 binary64) |
(expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) n)) |
(expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) i #s(literal 1 binary64)) (/.f64 i n))) n)) |
(*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) n) |
(*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) i #s(literal 1 binary64)) (/.f64 i n))) n) |
#s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) |
#s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) i #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) i #s(literal 1 binary64)) (/.f64 i n)) |
(fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 i n) n) (/.f64 #s(literal 1 binary64) n)) |
(/.f64 i (*.f64 n n)) |
(/.f64 (/.f64 i n) n) |
(*.f64 n n) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 1 binary64) n) |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 7.117416899007213 | (/.f64 i (*.f64 n n)) | |
| accuracy | 8.40261650918296 | (*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) n) | |
| accuracy | 8.787823621556129 | (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) n)))) | |
| accuracy | 19.645255995662815 | #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) | |
| accuracy | 8.393857460357092 | (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)) | |
| accuracy | 8.616303395403014 | (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)))) | |
| accuracy | 20.919771164149548 | #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) | |
| accuracy | 43.88528804404539 | (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| accuracy | 0.078125 | (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i) | |
| accuracy | 0.09375 | (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) | |
| accuracy | 8.442059512040867 | (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) (/.f64 i n)) | |
| accuracy | 23.082108241682278 | #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) | |
| accuracy | 0.0 | (/.f64 #s(literal 0 binary64) i) | |
| accuracy | 42.14831311463897 | #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) | |
| accuracy | 0.6291377664114026 | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) | |
| accuracy | 5.569079097278251 | (log1p.f64 (/.f64 i n)) | |
| accuracy | 8.381460188588335 | (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) | |
| accuracy | 8.40261650918296 | (*.f64 (log1p.f64 (/.f64 i n)) n) |
| 164.0ms | 132× | 1 | valid |
| 122.0ms | 70× | 2 | valid |
| 24.0ms | 12× | 0 | invalid |
| 24.0ms | 27× | 0 | exit |
| 7.0ms | 2× | 5 | exit |
| 6.0ms | 13× | 0 | valid |
Compiled 1 320 to 144 computations (89.1% saved)
ival-pow: 80.0ms (27.2% of total)ival-mult: 56.0ms (19.1% of total)ival-div: 46.0ms (15.7% of total)ival-add: 42.0ms (14.3% of total)adjust: 31.0ms (10.5% of total)const: 12.0ms (4.1% of total)ival-expm1: 10.0ms (3.4% of total)ival-sub: 8.0ms (2.7% of total)ival-log1p: 5.0ms (1.7% of total)ival-neg: 2.0ms (0.7% of total)exact: 1.0ms (0.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) |
(*.f64 #s(literal 1/100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(/.f64 i n) |
(/.f64 #s(literal 0 binary64) i) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) |
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i) |
(*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)))) |
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) |
(*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) n)))) |
(/.f64 n i) |
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) n))) |
(*.f64 (log1p.f64 (/.f64 i n)) n) |
(log1p.f64 (/.f64 i n)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) |
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) |
#s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) |
(*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) n) |
(/.f64 i (*.f64 n n)) |
| Outputs |
|---|
(* 100 n) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))) |
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
(/ 1/100 n) |
(+ (* 1/100 (* i (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (* 1/100 (/ 1 n))) |
(+ (* i (+ (* 1/100 (* i (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))))))) (* 1/100 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))) (* 1/100 (/ 1 n))) |
(+ (* i (+ (* 1/100 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (* i (+ (* 1/100 (* i (- (+ (* 1/4 (/ 1 (pow n 2))) (* 1/4 (/ 1 (pow n 4)))) (+ (* 1/24 (/ 1 n)) (+ (* 11/24 (/ 1 (pow n 3))) (+ (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))))) (* (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) (* 1/100 (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))))))))) (* 1/100 (/ 1 n))) |
(/ 1 n) |
(+ (* i (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(+ (* i (- (+ (* 1/2 (/ 1 (pow n 2))) (* i (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))))))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(+ (* i (- (+ (* 1/2 (/ 1 (pow n 2))) (* i (- (+ (* 1/2 (/ 1 (pow n 2))) (* i (- (+ (* 1/4 (/ 1 (pow n 2))) (* 1/4 (/ 1 (pow n 4)))) (+ (* 1/24 (/ 1 n)) (+ (* 11/24 (/ 1 (pow n 3))) (+ (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))))) (* (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))))))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(/ i n) |
0 |
(/ (+ (* -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 |
(+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))) |
(* 100 i) |
(* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n)))))))) |
(* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
(- 1/2 (* 1/2 (/ 1 n))) |
(- (+ 1/2 (* -1 (* i (- (* 1/2 (/ 1 n)) (+ 1/6 (* 1/3 (/ 1 (pow n 2)))))))) (* 1/2 (/ 1 n))) |
n |
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) |
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) i)) |
(* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n))) |
(/ n i) |
i |
(* i (+ 1 (* -1/2 (/ i n)))) |
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n)))))) |
(* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) |
(* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) |
(* i (- 1/2 (* 1/2 (/ 1 n)))) |
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
1 |
(+ 1 i) |
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) |
(/ i (pow n 2)) |
(* 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) |
(* 1/100 (/ i (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))) |
(* i (+ (* -1/100 (/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (* i (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 2)))) (* 1/100 (/ 1 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))))) |
(* i (- (+ (* -1 (/ (+ (* -1/100 (/ (* (pow n 3) (pow (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 2)) (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 3))) (* 1/100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (* n (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 2))))) (pow i 2))) (* 1/100 (/ 1 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))))) (* 1/100 (/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (* i (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 2)))))) |
(* i (- (+ (* -1 (/ (+ (* -1 (/ (* (pow n 2) (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/100 (/ (* (pow n 3) (pow (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 2)) (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 3))) (* 1/100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (* n (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 2))))))) (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* -1/100 (/ (* n (* (pow (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 2) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 3))) (* 1/100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (* n (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 2)))))) (pow i 3))) (* 1/100 (/ 1 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))))) (+ (* -1/100 (/ (* (pow n 3) (pow (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 2)) (* (pow i 2) (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 3)))) (+ (* 1/100 (/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (* i (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 2)))) (* 1/100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (* (pow i 2) (* n (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 2))))))))) |
(/ i (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) |
(* i (+ (* -1 (/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (* i (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 2)))) (/ 1 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))))) |
(* i (- (+ (* -1 (/ (+ (* -1 (/ (* (pow n 3) (pow (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 2)) (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 3))) (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (* n (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 2)))) (pow i 2))) (/ 1 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))) (/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (* i (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 2))))) |
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(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) |
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(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)) |
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(* 1/100 (/ i (* (pow n 2) (+ (log i) (* -1 (log n)))))) |
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(/ i (* (pow n 2) (+ (log i) (* -1 (log n))))) |
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(* 100 (* (pow n 2) (+ (* -1 (/ (log n) i)) (/ (log i) i)))) |
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(* -50 (/ i n)) |
(/ (+ (* -50 i) (* n (+ 100 (* 50 i)))) n) |
(* 100 (* n (+ (log i) (* -1 (log n))))) |
(* n (+ (* 100 (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))) (* 100 (+ (log i) (* -1 (log n)))))) |
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(* n (+ (* 100 (+ (log i) (* -1 (log n)))) (* n (+ (* 100 (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)))))))) (* 100 (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))))))))) |
(* -50 (/ (pow i 2) n)) |
(/ (+ (* -50 (pow i 2)) (* i (* n (+ 100 (* 50 i))))) n) |
(* 1/3 (/ i (pow n 2))) |
(/ (+ (* -1 (* i (* n (+ 1/2 (* 1/2 (/ 1 i)))))) (* 1/3 i)) (pow n 2)) |
(/ (+ (* 1/3 i) (* n (+ (* -1 (* i (+ 1/2 (* 1/2 (/ 1 i))))) (* i (* n (+ 1/6 (* 1/2 (/ 1 i)))))))) (pow n 2)) |
(/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i) |
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(/ 1/2 (* i n)) |
(/ (+ (* -1/2 (/ n i)) (* 1/2 (/ 1 i))) n) |
(/ (+ (* -1/2 (pow i 2)) (* i n)) (pow n 2)) |
(* n (+ (log i) (* -1 (log n)))) |
(* n (+ (log i) (+ (* -1 (log n)) (/ n i)))) |
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(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))) |
(+ (log i) (* -1 (log n))) |
(+ (log i) (+ (* -1 (log n)) (/ n i))) |
(+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i))))) |
(+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))) |
(* -1/2 (/ i n)) |
(/ (+ (* -1/2 i) (* 1/2 (* i n))) n) |
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(/ i (* n (- (exp i) 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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(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n))))) |
(* -1 (/ (+ (* -1/100 (/ i (- (exp i) 1))) (* -1/200 (/ (* (pow i 3) (exp i)) (* n (pow (- (exp i) 1) 2))))) n)) |
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/100 (/ (+ (* -1/2 (/ (* (pow i 2) (* (exp i) (+ (* -1/4 (/ (* (pow i 5) (pow (exp i) 2)) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 2))))) (- (exp i) 1))) (+ (* -1/2 (/ (* (pow i 3) (* (pow (exp i) 2) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4)))))) (pow (- (exp i) 1) 2)))) n)) (* 1/100 (+ (* -1/4 (/ (* (pow i 5) (pow (exp i) 2)) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 2))))) n)) (* 1/200 (/ (* (pow i 3) (exp i)) (pow (- (exp i) 1) 2)))) n)) (* -1/100 (/ i (- (exp i) 1)))) n)) |
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(* -1 (/ (+ (* -1 (/ i (- (exp i) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (pow i 5) (pow (exp i) 2)) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 2))) n)) (* 1/2 (/ (* (pow i 3) (exp i)) (pow (- (exp i) 1) 2)))) n))) n)) |
(* -1 (/ (+ (* -1 (/ i (- (exp i) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow i 2) (* (exp i) (+ (* -1/4 (/ (* (pow i 5) (pow (exp i) 2)) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 2))))) (- (exp i) 1))) (+ (* -1/2 (/ (* (pow i 3) (* (pow (exp i) 2) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4)))))) (pow (- (exp i) 1) 2)))) n)) (+ (* -1/4 (/ (* (pow i 5) (pow (exp i) 2)) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 2)))) n)) (* 1/2 (/ (* (pow i 3) (exp i)) (pow (- (exp i) 1) 2)))) n))) n)) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (* 100 (/ 1 i))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* 50 (/ (* i (exp i)) n)) (* 100 (/ 1 i)))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (/ 1 i)))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (/ 1 i)))))) |
(+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1))) |
(+ (* -1 (/ (+ (* -1/3 (/ i n)) (* i (+ 1/2 (* 1/2 (/ 1 i))))) n)) (* i (+ 1/6 (* 1/2 (/ 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))))) |
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n)) |
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n))) |
(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n))) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -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)) |
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) |
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | i | @ | inf | ((/ 1 (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)))) (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n) (/ 0 i) (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (* (neg i) (- (/ (- 1/2 (/ 1/2 n)) (neg i)) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- 1/2 (/ 1/2 n)) (neg i)) (* (+ (* (/ i (* n n)) -1/2) (/ 1 n)) i) (* (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (* (- 1/2 (/ 1/2 n)) i) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (log (+ 1 (/ i n))) (* (log (+ 1 (/ i n))) n) (/ i (* n n))) |
| 10.0ms | n | @ | 0 | ((/ 1 (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)))) (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n) (/ 0 i) (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (* (neg i) (- (/ (- 1/2 (/ 1/2 n)) (neg i)) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- 1/2 (/ 1/2 n)) (neg i)) (* (+ (* (/ i (* n n)) -1/2) (/ 1 n)) i) (* (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (* (- 1/2 (/ 1/2 n)) i) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (log (+ 1 (/ i n))) (* (log (+ 1 (/ i n))) n) (/ i (* n n))) |
| 9.0ms | i | @ | -inf | ((/ 1 (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)))) (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n) (/ 0 i) (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (* (neg i) (- (/ (- 1/2 (/ 1/2 n)) (neg i)) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- 1/2 (/ 1/2 n)) (neg i)) (* (+ (* (/ i (* n n)) -1/2) (/ 1 n)) i) (* (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (* (- 1/2 (/ 1/2 n)) i) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (log (+ 1 (/ i n))) (* (log (+ 1 (/ i n))) n) (/ i (* n n))) |
| 8.0ms | i | @ | 0 | ((/ 1 (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)))) (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n) (/ 0 i) (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (* (neg i) (- (/ (- 1/2 (/ 1/2 n)) (neg i)) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- 1/2 (/ 1/2 n)) (neg i)) (* (+ (* (/ i (* n n)) -1/2) (/ 1 n)) i) (* (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (* (- 1/2 (/ 1/2 n)) i) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (log (+ 1 (/ i n))) (* (log (+ 1 (/ i n))) n) (/ i (* n n))) |
| 5.0ms | n | @ | inf | ((/ 1 (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)))) (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n) (/ 0 i) (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (* (neg i) (- (/ (- 1/2 (/ 1/2 n)) (neg i)) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- 1/2 (/ 1/2 n)) (neg i)) (* (+ (* (/ i (* n n)) -1/2) (/ 1 n)) i) (* (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (* (- 1/2 (/ 1/2 n)) i) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (log (+ 1 (/ i n))) (* (log (+ 1 (/ i n))) n) (/ i (* n n))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1337 | 12097 |
| 1 | 4326 | 11147 |
| 0 | 8174 | 10248 |
| 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)))))))))) |
(/ 1/100 n) |
(+ (* 1/100 (* i (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (* 1/100 (/ 1 n))) |
(+ (* i (+ (* 1/100 (* i (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))))))) (* 1/100 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))) (* 1/100 (/ 1 n))) |
(+ (* i (+ (* 1/100 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (* i (+ (* 1/100 (* i (- (+ (* 1/4 (/ 1 (pow n 2))) (* 1/4 (/ 1 (pow n 4)))) (+ (* 1/24 (/ 1 n)) (+ (* 11/24 (/ 1 (pow n 3))) (+ (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))))) (* (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) (* 1/100 (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))))))))) (* 1/100 (/ 1 n))) |
(/ 1 n) |
(+ (* i (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(+ (* i (- (+ (* 1/2 (/ 1 (pow n 2))) (* i (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))))))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(+ (* i (- (+ (* 1/2 (/ 1 (pow n 2))) (* i (- (+ (* 1/2 (/ 1 (pow n 2))) (* i (- (+ (* 1/4 (/ 1 (pow n 2))) (* 1/4 (/ 1 (pow n 4)))) (+ (* 1/24 (/ 1 n)) (+ (* 11/24 (/ 1 (pow n 3))) (+ (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))))) (* (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))))))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(/ i n) |
0 |
(/ (+ (* -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 |
(+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))) |
(* 100 i) |
(* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n)))))))) |
(* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
(- 1/2 (* 1/2 (/ 1 n))) |
(- (+ 1/2 (* -1 (* i (- (* 1/2 (/ 1 n)) (+ 1/6 (* 1/3 (/ 1 (pow n 2)))))))) (* 1/2 (/ 1 n))) |
n |
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) |
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) i)) |
(* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n))) |
(/ n i) |
i |
(* i (+ 1 (* -1/2 (/ i n)))) |
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n)))))) |
(* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) |
(* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) |
(* i (- 1/2 (* 1/2 (/ 1 n)))) |
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
1 |
(+ 1 i) |
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) |
(/ i (pow n 2)) |
(* 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) |
(* 1/100 (/ i (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))) |
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(* 100 (* (pow n 2) (+ (* -1 (/ (log n) i)) (/ (log i) i)))) |
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(* -50 (/ i n)) |
(/ (+ (* -50 i) (* n (+ 100 (* 50 i)))) n) |
(* 100 (* n (+ (log i) (* -1 (log n))))) |
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(* -50 (/ (pow i 2) n)) |
(/ (+ (* -50 (pow i 2)) (* i (* n (+ 100 (* 50 i))))) n) |
(* 1/3 (/ i (pow n 2))) |
(/ (+ (* -1 (* i (* n (+ 1/2 (* 1/2 (/ 1 i)))))) (* 1/3 i)) (pow n 2)) |
(/ (+ (* 1/3 i) (* n (+ (* -1 (* i (+ 1/2 (* 1/2 (/ 1 i))))) (* i (* n (+ 1/6 (* 1/2 (/ 1 i)))))))) (pow n 2)) |
(/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i) |
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(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) |
(/ 1/2 (* i n)) |
(/ (+ (* -1/2 (/ n i)) (* 1/2 (/ 1 i))) n) |
(/ (+ (* -1/2 (pow i 2)) (* i n)) (pow n 2)) |
(* n (+ (log i) (* -1 (log n)))) |
(* n (+ (log i) (+ (* -1 (log n)) (/ n i)))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i)))))) |
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))) |
(+ (log i) (* -1 (log n))) |
(+ (log i) (+ (* -1 (log n)) (/ n i))) |
(+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i))))) |
(+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))) |
(* -1/2 (/ i n)) |
(/ (+ (* -1/2 i) (* 1/2 (* i n))) n) |
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(/ i (* n (- (exp i) 1))) |
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(* 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))) |
(/ -1/2 i) |
(- (* 1/2 (/ 1 (* i n))) (* 1/2 (/ 1 i))) |
(/ (+ i (* -1/2 (/ (pow i 2) n))) n) |
(+ i (* -1/2 (/ (pow i 2) n))) |
(+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) |
(+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) |
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n) |
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n) |
(* 1/2 i) |
(+ (* -1/2 (/ i n)) (* 1/2 i)) |
(- (exp i) 1) |
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1) |
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1) |
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1) |
(exp i) |
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) |
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) |
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n))))) |
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n))))) |
(* -1 (/ (+ (* -1/100 (/ i (- (exp i) 1))) (* -1/200 (/ (* (pow i 3) (exp i)) (* n (pow (- (exp i) 1) 2))))) n)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/100 (/ (+ (* -1/4 (/ (* (pow i 5) (pow (exp i) 2)) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 2))) n)) (* 1/200 (/ (* (pow i 3) (exp i)) (pow (- (exp i) 1) 2)))) n)) (* -1/100 (/ i (- (exp i) 1)))) n)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/100 (/ (+ (* -1/2 (/ (* (pow i 2) (* (exp i) (+ (* -1/4 (/ (* (pow i 5) (pow (exp i) 2)) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 2))))) (- (exp i) 1))) (+ (* -1/2 (/ (* (pow i 3) (* (pow (exp i) 2) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4)))))) (pow (- (exp i) 1) 2)))) n)) (* 1/100 (+ (* -1/4 (/ (* (pow i 5) (pow (exp i) 2)) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 2))))) n)) (* 1/200 (/ (* (pow i 3) (exp i)) (pow (- (exp i) 1) 2)))) n)) (* -1/100 (/ i (- (exp i) 1)))) n)) |
(* -1 (/ (+ (* -1 (/ i (- (exp i) 1))) (* -1/2 (/ (* (pow i 3) (exp i)) (* n (pow (- (exp i) 1) 2))))) n)) |
(* -1 (/ (+ (* -1 (/ i (- (exp i) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (pow i 5) (pow (exp i) 2)) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 2))) n)) (* 1/2 (/ (* (pow i 3) (exp i)) (pow (- (exp i) 1) 2)))) n))) n)) |
(* -1 (/ (+ (* -1 (/ i (- (exp i) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow i 2) (* (exp i) (+ (* -1/4 (/ (* (pow i 5) (pow (exp i) 2)) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 2))))) (- (exp i) 1))) (+ (* -1/2 (/ (* (pow i 3) (* (pow (exp i) 2) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4)))))) (pow (- (exp i) 1) 2)))) n)) (+ (* -1/4 (/ (* (pow i 5) (pow (exp i) 2)) (pow (- (exp i) 1) 3))) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow (- (exp i) 1) 2)))) n)) (* 1/2 (/ (* (pow i 3) (exp i)) (pow (- (exp i) 1) 2)))) n))) n)) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (* 100 (/ 1 i))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* 50 (/ (* i (exp i)) n)) (* 100 (/ 1 i)))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (/ 1 i)))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (/ 1 i)))))) |
(+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1))) |
(+ (* -1 (/ (+ (* -1/3 (/ i n)) (* i (+ 1/2 (* 1/2 (/ 1 i))))) n)) (* i (+ 1/6 (* 1/2 (/ 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))))) |
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n)) |
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n))) |
(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n))) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -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)) |
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) |
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
| Outputs |
|---|
(* 100 n) |
(*.f64 #s(literal 100 binary64) n) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) |
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))) |
(fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)) |
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 100 binary64))) i (*.f64 #s(literal 100 binary64) n)) |
(/ 1/100 n) |
(/.f64 #s(literal 1/100 binary64) n) |
(+ (* 1/100 (* i (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (* 1/100 (/ 1 n))) |
(fma.f64 (*.f64 #s(literal 1/100 binary64) i) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/100 binary64) n)) |
(+ (* i (+ (* 1/100 (* i (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))))))) (* 1/100 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))) (* 1/100 (/ 1 n))) |
(fma.f64 (*.f64 #s(literal 1/100 binary64) (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) n))) i (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))) i (/.f64 #s(literal 1/100 binary64) n)) |
(+ (* i (+ (* 1/100 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (* i (+ (* 1/100 (* i (- (+ (* 1/4 (/ 1 (pow n 2))) (* 1/4 (/ 1 (pow n 4)))) (+ (* 1/24 (/ 1 n)) (+ (* 11/24 (/ 1 (pow n 3))) (+ (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))))) (* (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) (* 1/100 (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))))))))) (* 1/100 (/ 1 n))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/100 binary64) (fma.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 n n))) (/.f64 #s(literal 1/24 binary64) n)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal 3 binary64)))))) i (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) n))))) i (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1/100 binary64))) i (/.f64 #s(literal 1/100 binary64) n)) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(+ (* i (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)) |
(+ (* i (- (+ (* 1/2 (/ 1 (pow n 2))) (* i (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))))))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) n))) i (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n)) |
(+ (* i (- (+ (* 1/2 (/ 1 (pow n 2))) (* i (- (+ (* 1/2 (/ 1 (pow n 2))) (* i (- (+ (* 1/4 (/ 1 (pow n 2))) (* 1/4 (/ 1 (pow n 4)))) (+ (* 1/24 (/ 1 n)) (+ (* 11/24 (/ 1 (pow n 3))) (+ (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))))) (* (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))))))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 n n))) (/.f64 #s(literal 1/24 binary64) n)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal 3 binary64)))))) i (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) n)))) i (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) i (/.f64 #s(literal 1 binary64) n)) |
(/ i n) |
(/.f64 i n) |
0 |
#s(literal 0 binary64) |
(/ (+ (* -100 n) (* 100 n)) i) |
(/.f64 #s(literal 0 binary64) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* 100 (* i n)))) i) |
(/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i #s(literal 0 binary64)) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))) i) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)) i #s(literal 0 binary64)) i) |
100 |
#s(literal 100 binary64) |
(+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) |
(* 100 i) |
(*.f64 #s(literal 100 binary64) i) |
(* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i) |
(* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n)))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64)) i) |
(* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/2 binary64) n))) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 100 binary64))) i #s(literal 100 binary64)) i) |
(- 1/2 (* 1/2 (/ 1 n))) |
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(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (/ 1 i)))))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 i) i) #s(literal -100 binary64) (-.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal -50 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) i) (/.f64 (exp.f64 i) n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)) #s(literal -100 binary64))) (neg.f64 n))) n))) (neg.f64 n)) |
(+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1))) |
(fma.f64 (expm1.f64 i) #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)) #s(literal -100 binary64) (*.f64 (*.f64 #s(literal 50 binary64) (*.f64 i i)) (exp.f64 i))) (neg.f64 n))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1))) |
(fma.f64 (expm1.f64 i) #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 50 binary64) (*.f64 i i)) (exp.f64 i) (/.f64 (fma.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)) #s(literal -100 binary64) (*.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))))) (neg.f64 n))) (neg.f64 n))) |
(+ (* -1 (/ (+ (* -1/3 (/ i n)) (* i (+ 1/2 (* 1/2 (/ 1 i))))) n)) (* i (+ 1/6 (* 1/2 (/ 1 i))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/6 binary64)) i (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/2 binary64)) i (*.f64 #s(literal -1/3 binary64) (/.f64 i n))) (neg.f64 n))) |
(* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (/.f64 (expm1.f64 i) (neg.f64 i))) (neg.f64 n)) |
(* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) (/.f64 (exp.f64 i) n) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64))) (neg.f64 n)) (/.f64 (expm1.f64 i) i)) (neg.f64 n)) |
(* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) i) (/.f64 (exp.f64 i) n) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (neg.f64 i))) (neg.f64 n))) (neg.f64 n)) (/.f64 (expm1.f64 i) i)) (neg.f64 n)) |
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n)) |
(/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal 1/2 binary64) (neg.f64 i)) (neg.f64 n)) |
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n))) |
(-.f64 i (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal -1/3 binary64) (*.f64 (*.f64 i i) #s(literal 1/2 binary64))) n)) |
(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n))) |
(-.f64 i (/.f64 (fma.f64 (*.f64 i i) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal -1/4 binary64) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (neg.f64 n))) n)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n)) |
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 1/3 binary64) (*.f64 (*.f64 i i) #s(literal -1/2 binary64))) n) i)) (neg.f64 n)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal 1/4 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (neg.f64 n))) (neg.f64 n)) i) (neg.f64 n)) |
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) |
(+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (neg.f64 n))) (neg.f64 n)) (expm1.f64 i)) |
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) |
(+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i) (/.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (exp.f64 i)) (neg.f64 n))) (neg.f64 n))) (neg.f64 n)) (expm1.f64 i)) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(-.f64 (exp.f64 i) (/.f64 (fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (neg.f64 n))) n)) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(-.f64 (exp.f64 i) (/.f64 (fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i) (/.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (exp.f64 i)) (neg.f64 n))) (neg.f64 n))) n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 535 |
| 0 | 122 | 527 |
| 1 | 479 | 520 |
| 2 | 3970 | 500 |
| 0 | 9074 | 495 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) |
(*.f64 #s(literal 1/100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(/.f64 i n) |
(/.f64 #s(literal 0 binary64) i) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) |
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i) |
(*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)))) |
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) |
(*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) n)))) |
(/.f64 n i) |
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) n))) |
(*.f64 (log1p.f64 (/.f64 i n)) n) |
(log1p.f64 (/.f64 i n)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) |
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) |
#s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) |
(*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) n) |
(/.f64 i (*.f64 n n)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 i n) #s(literal 1/100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 i n) #s(literal 1/100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 i n) #s(literal 1/100 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 i n) #s(literal 1/100 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 1/100 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 1/100 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i)) #s(literal 100 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -1/100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 n i) (pow.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal -1 binary64)) #s(literal 1/100 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i))) |
(*.f64 (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 1/100 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 1/100 binary64)) (*.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 1/100 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 1/100 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (*.f64 #s(literal -1/100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 1/100 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -100 binary64) (neg.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) |
(/.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i)) #s(literal 1/100 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) |
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64))) |
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(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 1/100 binary64))) |
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(fma.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 i n) n) (pow.f64 n #s(literal -1 binary64))) i)) (log.f64 (exp.f64 n)) #s(literal 0 binary64)) |
(fma.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 i n) n) (pow.f64 n #s(literal -1 binary64))) i)) n #s(literal 0 binary64)) |
(fma.f64 n #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 i n) n) (pow.f64 n #s(literal -1 binary64))) i)) #s(literal 0 binary64)) |
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 n) #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 i n) n) (pow.f64 n #s(literal -1 binary64))) i))) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (pow.f64 (exp.f64 n) #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 i n) n) (pow.f64 n #s(literal -1 binary64))) i))) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 i n) n) (pow.f64 n #s(literal -1 binary64))) i)) n) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 i n) n) (pow.f64 n #s(literal -1 binary64))) i)) n)) |
(log.f64 (pow.f64 (exp.f64 n) #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 i n) n) (pow.f64 n #s(literal -1 binary64))) i)))) |
(*.f64 (pow.f64 n #s(literal -2 binary64)) (pow.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 n #s(literal -2 binary64)) i) |
(*.f64 #s(literal -1 binary64) (/.f64 i (*.f64 (neg.f64 n) n))) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) (/.f64 i n)) |
(*.f64 (neg.f64 i) (pow.f64 (*.f64 (neg.f64 n) n) #s(literal -1 binary64))) |
(*.f64 (/.f64 i n) (pow.f64 n #s(literal -1 binary64))) |
(*.f64 i (pow.f64 n #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) n)) |
(pow.f64 (/.f64 n (/.f64 i n)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 n (/.f64 n i)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 n i) n) #s(literal -1 binary64)) |
(pow.f64 (*.f64 n (/.f64 n i)) #s(literal -1 binary64)) |
(/.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 n n)) |
(/.f64 (/.f64 (neg.f64 i) n) (neg.f64 n)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 n (/.f64 n i)))) |
(/.f64 (neg.f64 i) (*.f64 (neg.f64 n) n)) |
(/.f64 (/.f64 i n) n) |
(/.f64 i (neg.f64 (*.f64 (neg.f64 n) n))) |
(/.f64 i (*.f64 n n)) |
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 i n))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (/.f64 n i)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n i))) |
(neg.f64 (/.f64 (neg.f64 i) (*.f64 n n))) |
(neg.f64 (/.f64 i (*.f64 (neg.f64 n) n))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 n)) n) (/.f64 (/.f64 (neg.f64 i) n) n)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (neg.f64 n) n))) (/.f64 (neg.f64 i) (neg.f64 (*.f64 (neg.f64 n) n)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 n n)) (/.f64 (neg.f64 i) (*.f64 n n))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 n) n)) (/.f64 i (*.f64 (neg.f64 n) n))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 n)) (/.f64 (/.f64 i n) (neg.f64 n))) |
(exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 n i))) #s(literal -1 binary64))) |
Compiled 45 462 to 4 789 computations (89.5% saved)
56 alts after pruning (52 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 876 | 18 | 894 |
| Fresh | 8 | 34 | 42 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 888 | 56 | 944 |
| Status | Accuracy | Program |
|---|---|---|
| 63.3% | (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) n) i) | |
| 47.8% | (/.f64 (*.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) n) i) | |
| 60.6% | (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)))) (/.f64 i n)) | |
| 60.7% | (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) (/.f64 i n)) | |
| 36.4% | (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) i) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) #s(literal 100 binary64) #s(literal 100 binary64)) i)) (/.f64 i n)) | |
| 14.3% | (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n)) | |
| 45.0% | (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) i)) (/.f64 i n)) | |
| 2.4% | (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (*.f64 #s(literal -50 binary64) (/.f64 i n))) i)) (/.f64 i n)) | |
| 45.5% | (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) #s(literal 100 binary64)) i)) (/.f64 i n)) | |
| 38.8% | (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -50 binary64) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) i)))) (/.f64 i n)) | |
| 31.4% | (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n) i (*.f64 #s(literal -50 binary64) (*.f64 i i))) n))) (/.f64 i n)) | |
| 3.6% | (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -50 binary64)))) (/.f64 i n)) | |
| 10.6% | (/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)))) | |
| 10.3% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) i) (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n))) (neg.f64 i))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)))) | |
| ✓ | 76.6% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) |
| 60.5% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) #s(approx (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n))))) | |
| 50.2% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) #s(approx (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/.f64 #s(literal 1 binary64) n)))) | |
| 60.6% | (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (fma.f64 (*.f64 #s(literal 1/100 binary64) i) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/100 binary64) n)))) | |
| 50.4% | (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/.f64 #s(literal 1/100 binary64) n))) | |
| 22.7% | (+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i)) | |
| 24.4% | (+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) | |
| 10.8% | (+.f64 (*.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64)) i)) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) | |
| 17.4% | (+.f64 (*.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) | |
| 11.0% | (*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) | |
| 55.5% | (*.f64 (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) i) n) | |
| ✓ | 75.9% | (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
| 15.3% | (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)))) | |
| 27.8% | (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) #s(approx (* (+ (* (/ i (* n n)) -1/2) (/ 1 n)) i) (/.f64 (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (*.f64 n i)) (*.f64 n n)))) n)))) | |
| 59.6% | (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i))))) | |
| ▶ | 41.8% | (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)))) |
| 14.3% | (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)))) | |
| 36.7% | (*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64)) i))) | |
| 44.3% | (*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i))) | |
| ▶ | 75.6% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
| 19.7% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))) | |
| ▶ | 19.6% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))) |
| ✓ | 25.5% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 14.5% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) | |
| 14.5% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) #s(approx (* (neg i) (- (/ (- 1/2 (/ 1/2 n)) (neg i)) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/6 binary64)) i))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) | |
| 15.2% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) | |
| 12.1% | (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) n) i)) | |
| 10.6% | (*.f64 #s(literal 100 binary64) (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 n i)) (/.f64 n i))) | |
| 48.2% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))) | |
| 50.2% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))) | |
| 54.9% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) | |
| 50.2% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) | |
| 64.5% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))) | |
| 13.6% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))) | |
| 15.2% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (expm1.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))) (log.f64 (neg.f64 n))) n)) (/.f64 n i)))) | |
| ▶ | 50.2% | #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) |
| 45.5% | #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)) | |
| 73.4% | #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) | |
| ▶ | 18.5% | #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
| 48.2% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) | |
| 13.7% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) | |
| ✓ | 50.6% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
Compiled 3 538 to 2 340 computations (33.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) | |
| cost-diff | 0 | (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) i) | |
| cost-diff | 0 | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))) | |
| cost-diff | 128 | (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) | |
| cost-diff | 192 | (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)) | |
| cost-diff | 832 | (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) | |
| cost-diff | 1152 | (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) | |
| cost-diff | 0 | #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) | |
| cost-diff | 0 | (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) | |
| cost-diff | 0 | (/.f64 n i) | |
| cost-diff | 0 | (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)))) | |
| cost-diff | 0 | #s(approx (/ 0 i) #s(literal 0 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) | |
| cost-diff | 0 | (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) | |
| cost-diff | 0 | (/.f64 n i) | |
| cost-diff | 0 | (*.f64 (/.f64 n i) #s(literal 100 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 420 |
| 0 | 100 | 407 |
| 1 | 179 | 401 |
| 2 | 389 | 393 |
| 3 | 1063 | 387 |
| 4 | 3677 | 375 |
| 5 | 7829 | 375 |
| 0 | 8218 | 359 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (/.f64 n i) #s(literal 100 binary64)) |
(/.f64 n i) |
n |
i |
#s(literal 100 binary64) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(*.f64 (log1p.f64 (/.f64 i n)) n) |
(log1p.f64 (/.f64 i n)) |
(/.f64 i n) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (/ 0 i) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)))) |
(/.f64 n i) |
n |
i |
(*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) |
#s(literal 100 binary64) |
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) |
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 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) |
#s(literal 1 binary64) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) |
#s(literal 100 binary64) |
(fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) |
(*.f64 n i) |
n |
i |
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
#s(literal 1/3 binary64) |
(*.f64 n n) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1/2 binary64) n) |
#s(literal 1/2 binary64) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) |
(*.f64 #s(literal 100 binary64) n) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))) |
#s(literal 100 binary64) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)) |
(/.f64 #s(literal -1 binary64) i) |
#s(literal -1 binary64) |
i |
n |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) |
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
(+.f64 (/.f64 i n) #s(literal 1 binary64)) |
(/.f64 i n) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 #s(literal 100 binary64) (/.f64 n i))) |
(*.f64 (/.f64 n i) #s(literal 100 binary64)) |
(*.f64 #s(literal 100 binary64) (/.f64 n i)) |
(/.f64 n i) |
n |
i |
#s(literal 100 binary64) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
(*.f64 (log1p.f64 (/.f64 i n)) n) |
(log1p.f64 (/.f64 i n)) |
(/.f64 i n) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (/ 0 i) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)))) |
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (*.f64 #s(literal 100 binary64) (/.f64 n i))) |
(/.f64 n i) |
n |
i |
(*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) |
(*.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) #s(literal 100 binary64)) |
#s(literal 100 binary64) |
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) |
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 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) |
#s(literal 1 binary64) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) n (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64))) i (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64))) i n) #s(literal 100 binary64))) |
(fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) n (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64))) i (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64))) i n) #s(literal 100 binary64)) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) |
(fma.f64 #s(literal 50 binary64) n (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) n (/.f64 #s(literal 1/3 binary64) n)) #s(literal 100 binary64) #s(literal -50 binary64)) i #s(literal -50 binary64))) |
#s(literal 100 binary64) |
(fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) n (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64))) i (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64))) |
(*.f64 n i) |
(*.f64 i n) |
n |
i |
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) |
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal -1/3 binary64) (*.f64 n n))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) |
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
#s(literal 1/3 binary64) |
(*.f64 n n) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1/2 binary64) n) |
#s(literal 1/2 binary64) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) |
(fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) |
(*.f64 #s(literal 100 binary64) n) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 #s(literal 100 binary64) (/.f64 n i))) |
#s(literal 100 binary64) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 n i)) |
(/.f64 #s(literal -1 binary64) i) |
#s(literal -1 binary64) |
i |
n |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) |
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n) |
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) |
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) 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) |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.109375 | (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) | |
| accuracy | 0.11568335877855755 | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))) | |
| accuracy | 14.305896345098759 | (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) | |
| accuracy | 39.280521307740294 | (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)) | |
| accuracy | 0.08984375 | (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) | |
| accuracy | 0.7274287803802086 | (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) | |
| accuracy | 10.230763208789266 | (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) | |
| accuracy | 24.433306253277525 | #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) | |
| accuracy | 0.0625 | (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i) | |
| accuracy | 0.1171875 | (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) | |
| accuracy | 8.787823621556129 | (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)))) | |
| accuracy | 28.048839472131856 | #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) | |
| accuracy | 0.0 | #s(approx (/ 0 i) #s(literal 0 binary64)) | |
| accuracy | 48.792770049989095 | #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) | |
| accuracy | 0.16456751178494128 | (*.f64 (/.f64 n i) #s(literal 100 binary64)) | |
| accuracy | 5.572985347278251 | (log1p.f64 (/.f64 i n)) | |
| accuracy | 8.42214775918296 | (*.f64 (log1p.f64 (/.f64 i n)) n) | |
| accuracy | 8.954632605647813 | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
| 147.0ms | 176× | 1 | valid |
| 22.0ms | 20× | 2 | valid |
| 16.0ms | 46× | 0 | valid |
| 5.0ms | 2× | 5 | exit |
| 4.0ms | 12× | 0 | invalid |
Compiled 823 to 116 computations (85.9% saved)
ival-mult: 45.0ms (29.3% of total)ival-pow: 36.0ms (23.4% of total)ival-div: 23.0ms (15% of total)adjust: 16.0ms (10.4% of total)ival-add: 13.0ms (8.5% of total)const: 9.0ms (5.9% of total)ival-log1p: 4.0ms (2.6% of total)ival-sub: 4.0ms (2.6% of total)ival-expm1: 3.0ms (2% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (/.f64 n i) #s(literal 100 binary64)) |
(/.f64 n i) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (/ 0 i) #s(literal 0 binary64)) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)))) |
(*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) |
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) |
(fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) |
(fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))) |
(/.f64 #s(literal -1 binary64) i) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) |
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) |
(*.f64 (log1p.f64 (/.f64 i n)) n) |
(log1p.f64 (/.f64 i n)) |
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
| Outputs |
|---|
(* 100 n) |
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))) |
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
(* 100 (/ n i)) |
(/ n i) |
i |
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(/ (+ (* -100 n) (* 100 n)) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* 100 (* i n)))) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))) i) |
0 |
(* 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)))))))))) |
(* 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))))) |
(* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) |
(+ (* 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 (* -1 n)) i)) |
(/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i) |
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(/ -1 i) |
(/ (+ n (* i n)) i) |
(/ (+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))) i) |
(/ (+ n (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/ 1 i) |
(/ (+ 1 i) i) |
(/ (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) i) |
(/ (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) i) |
(* i (+ 1 (* -1/2 (/ i n)))) |
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n)))))) |
(/ i n) |
(* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n))) |
(* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) |
(* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) |
(/ (+ n (* -1 n)) i) |
(/ (+ n (+ (* -1 n) (* i n))) i) |
(/ (+ n (+ (* -1 n) (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/ (+ n (+ (* -1 n) (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
1 |
(+ 1 i) |
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) |
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) |
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) |
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1) |
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1) |
(/ (+ (* -100 n) (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) i) |
(/ (+ (* -100 n) (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* -100 n) (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(/ (+ (* -100 n) (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))))) i) |
(* 100 (- (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))))) |
(* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 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))) |
(* 100 (* (pow i 2) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) |
(* (pow i 2) (+ (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i)))) |
(* (pow i 2) (+ (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (+ (* 100 (/ n (pow i 2))) (* 100 (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i))))) |
(* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) |
(* i (+ (* 100 (* 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) |
(/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i) |
(/ (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i) |
(/ (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) i) |
(/ (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i) |
(/ (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) |
(+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i)) |
(+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))) |
(+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* 1/3 (/ (pow n 4) (pow i 3))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i)))) |
(+ (log (/ 1 n)) (* -1 (log (/ 1 i)))) |
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (/ n i))) |
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (/ n i)))) |
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (+ (* 1/3 (/ (pow n 3) (pow i 3))) (/ n i))))) |
(* (pow i 2) (- 1/2 (* 1/2 (/ 1 n)))) |
(* (pow i 2) (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n)))) |
(/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i) |
(/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) |
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) |
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i)) |
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i)) |
(- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1) |
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) 1) |
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) 1) |
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(* 100 (* (pow n 2) (+ (* -1 (/ (log n) i)) (/ (log i) i)))) |
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(* 100 (* n (+ (log i) (* -1 (log n))))) |
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(* 1/3 (/ i n)) |
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(- (exp i) 1) |
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(* n (+ 1/2 (* 1/6 i))) |
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(* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2)))))) (* 1/2 (/ 1 n)))) |
(* 1/2 n) |
(* n (+ 100 (* 100 (* i (+ 1/2 (* 1/6 i)))))) |
(* n (+ 100 (+ (* 100 (* i (+ 1/2 (* 1/6 i)))) (* 100 (/ (* i (- (* -1/2 i) 1/2)) n))))) |
(* n (+ 100 (+ (* 100/3 (/ (pow i 2) (pow n 2))) (+ (* 100 (* i (+ 1/2 (* 1/6 i)))) (* 100 (/ (* i (- (* -1/2 i) 1/2)) n)))))) |
(* 100 (* n (+ 1/2 (* 1/6 i)))) |
(* n (+ (* 100 (+ 1/2 (* 1/6 i))) (* 100 (/ (- (* -1/2 i) 1/2) n)))) |
(* n (+ (* 100/3 (/ i (pow n 2))) (+ (* 100 (+ 1/2 (* 1/6 i))) (* 100 (/ (- (* -1/2 i) 1/2) n))))) |
(* 100 (* n (- (/ (exp i) i) (/ 1 i)))) |
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (- (/ (exp i) i) (/ 1 i))))) |
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(/ (* n (exp i)) i) |
(* n (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i))) |
(* n (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) |
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(/ (exp i) i) |
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(+ (* -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))))) |
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(+ i (* -1/2 (/ (pow i 2) n))) |
(+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) |
(+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) |
(/ (+ i (* -1/2 (/ (pow i 2) n))) n) |
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n) |
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n) |
(* i (+ 1 (* 1/2 i))) |
(+ (* -1/2 (/ (pow i 2) n)) (* i (+ 1 (* 1/2 i)))) |
(* n (- (/ (exp i) i) (/ 1 i))) |
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))) |
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))) |
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(exp i) |
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) |
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) |
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(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) |
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (* 100 (/ 1 i))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* 50 (/ (* i (exp i)) n)) (* 100 (/ 1 i)))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (/ 1 i)))))) |
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (/ 1 i)))))) |
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(* -1 (* n (- (+ (* -1 (/ (- (+ (* -1/2 i) (* 1/3 (/ i n))) 1/2) n)) (* -1/6 i)) 1/2))) |
(* -1 (* n (- (* 1/2 (/ 1 n)) 1/2))) |
(* -1 (* n (- (* 100 (* i (- (* -1/6 i) 1/2))) 100))) |
(* -1 (* n (- (+ (* -100 (/ (* i (- (* -1/2 i) 1/2)) n)) (* 100 (* i (- (* -1/6 i) 1/2)))) 100))) |
(* -1 (* n (- (+ (* -1 (/ (+ (* 100/3 (/ (pow i 2) n)) (* 100 (* i (- (* -1/2 i) 1/2)))) n)) (* 100 (* i (- (* -1/6 i) 1/2)))) 100))) |
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(* -1 (* n (+ (* -100 (/ (- (* -1/2 i) 1/2) n)) (* 100 (- (* -1/6 i) 1/2))))) |
(* -1 (* n (+ (* -1 (/ (+ (* 100/3 (/ i n)) (* 100 (- (* -1/2 i) 1/2))) n)) (* 100 (- (* -1/6 i) 1/2))))) |
(* -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 (* n (+ (* -1 (/ (exp i) i)) (* 1/2 (/ (* i (exp i)) n))))) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n))))) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n))))) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) |
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n))) |
(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n))) |
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n)) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i)))) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* 1/2 (/ (* i (exp i)) n)) (/ 1 i))))) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (/ 1 i))))) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (/ 1 i))))) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | i | @ | -inf | ((* (* (/ n i) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (/ n i) 100) (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/ 0 i) (* (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* (- 1/2 (/ 1/2 n)) n) (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ -1 i) (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (pow (+ (/ i n) 1) n) i) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (/ 1/3 (* n n)) (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (pow (+ (/ i n) 1) n)) |
| 4.0ms | i | @ | inf | ((* (* (/ n i) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (/ n i) 100) (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/ 0 i) (* (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* (- 1/2 (/ 1/2 n)) n) (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ -1 i) (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (pow (+ (/ i n) 1) n) i) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (/ 1/3 (* n n)) (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (pow (+ (/ i n) 1) n)) |
| 4.0ms | n | @ | -inf | ((* (* (/ n i) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (/ n i) 100) (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/ 0 i) (* (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* (- 1/2 (/ 1/2 n)) n) (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ -1 i) (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (pow (+ (/ i n) 1) n) i) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (/ 1/3 (* n n)) (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (pow (+ (/ i n) 1) n)) |
| 4.0ms | n | @ | 0 | ((* (* (/ n i) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (/ n i) 100) (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/ 0 i) (* (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* (- 1/2 (/ 1/2 n)) n) (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ -1 i) (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (pow (+ (/ i n) 1) n) i) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (/ 1/3 (* n n)) (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (pow (+ (/ i n) 1) n)) |
| 3.0ms | i | @ | 0 | ((* (* (/ n i) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (* (/ n i) 100) (/ n i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/ 0 i) (* (/ n i) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* (- 1/2 (/ 1/2 n)) n) (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (* 100 (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n))) (/ -1 i) (* (/ (pow (+ (/ i n) 1) n) i) n) (/ (pow (+ (/ i n) 1) n) i) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (/ 1/3 (* n n)) (+ (* (/ -1 i) n) (* (/ (pow (+ (/ i n) 1) n) i) n)) (pow (+ (/ i n) 1) n)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1185 | 10135 |
| 1 | 3728 | 9240 |
| 0 | 8272 | 8570 |
| 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 i)) |
(/ n i) |
i |
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(/ (+ (* -100 n) (* 100 n)) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* 100 (* i n)))) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))) i) |
0 |
(* 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)))))))))) |
(* 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))))) |
(* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) |
(+ (* 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 (* -1 n)) i)) |
(/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i) |
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(/ -1 i) |
(/ (+ n (* i n)) i) |
(/ (+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))) i) |
(/ (+ n (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/ 1 i) |
(/ (+ 1 i) i) |
(/ (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) i) |
(/ (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) i) |
(* i (+ 1 (* -1/2 (/ i n)))) |
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n)))))) |
(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n)))))) |
(/ i n) |
(* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n))) |
(* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) |
(* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) |
(/ (+ n (* -1 n)) i) |
(/ (+ n (+ (* -1 n) (* i n))) i) |
(/ (+ n (+ (* -1 n) (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/ (+ n (+ (* -1 n) (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
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(* -1 (* n (+ (* -1 (/ (exp i) i)) (* 1/2 (/ (* i (exp i)) n))))) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n))))) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n))))) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) |
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n))) |
(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n))) |
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n)) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i)))) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* 1/2 (/ (* i (exp i)) n)) (/ 1 i))))) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (/ 1 i))))) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (/ 1 i))))) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
| 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 i 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 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 i n) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 100 binary64)) n (*.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 i n) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)))) i (*.f64 #s(literal 100 binary64) n)) |
(* 100 (/ n i)) |
(*.f64 (/.f64 n i) #s(literal 100 binary64)) |
(/ n i) |
(/.f64 n i) |
i |
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i) |
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i) |
(/ (+ (* -100 n) (* 100 n)) i) |
(/.f64 #s(literal 0 binary64) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* 100 (* i n)))) i) |
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 i n #s(literal 0 binary64))) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 i n) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i #s(literal 0 binary64)) i) |
(/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))) i) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 i n) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)) i #s(literal 0 binary64)) i) |
0 |
#s(literal 0 binary64) |
(* 100 i) |
(*.f64 #s(literal 100 binary64) i) |
(* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) #s(literal 100 binary64)) i) |
(* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n)))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 100 binary64)) i) |
(* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 100 binary64))) i #s(literal 100 binary64)) i) |
(* n (- 1/2 (* 1/2 (/ 1 n)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) |
(+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))) |
(fma.f64 (*.f64 i n) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) |
(* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 100 binary64)) |
(+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 i n) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) |
(* 100 (/ (+ n (* -1 n)) i)) |
(/.f64 #s(literal 0 binary64) i) |
(/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i) |
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 i n #s(literal 0 binary64))) i) |
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 i n) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i #s(literal 0 binary64)) i) |
(/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 i n) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)) i #s(literal 0 binary64)) i) |
(/ -1 i) |
(/.f64 #s(literal -1 binary64) i) |
(/ (+ n (* i n)) i) |
(/.f64 (fma.f64 i n n) i) |
(/ (+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))) i) |
(/.f64 (fma.f64 (fma.f64 (*.f64 i n) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n) i) |
(/ (+ n (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 i n) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n) i n) i) |
(/ 1 i) |
(/.f64 #s(literal 1 binary64) i) |
(/ (+ 1 i) i) |
(/.f64 (+.f64 #s(literal 1 binary64) i) i) |
(/ (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) i) |
(/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)) i) |
(/ (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) i) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64)) i) |
(* i (+ 1 (* -1/2 (/ i n)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) #s(literal 1 binary64)) i) |
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64)) i) |
(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 i (pow.f64 n #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) i (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64)) i) |
(/ i n) |
(/.f64 i n) |
(* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n))) |
(*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i) |
(* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) |
(fma.f64 (*.f64 i i) (fma.f64 (/.f64 i (pow.f64 n #s(literal 3 binary64))) #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (/.f64 i n)) |
(* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) |
(fma.f64 (*.f64 i i) (fma.f64 (fma.f64 (/.f64 i (pow.f64 n #s(literal 4 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 3 binary64)))) i (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (/.f64 i n)) |
(/ (+ n (* -1 n)) i) |
(/.f64 #s(literal 0 binary64) i) |
(/ (+ n (+ (* -1 n) (* i n))) i) |
(/.f64 (fma.f64 i n #s(literal 0 binary64)) i) |
(/ (+ n (+ (* -1 n) (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i) |
(/.f64 (fma.f64 (fma.f64 (*.f64 i n) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i #s(literal 0 binary64)) i) |
(/ (+ n (+ (* -1 n) (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 i n) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n) i #s(literal 0 binary64)) i) |
1 |
#s(literal 1 binary64) |
(+ 1 i) |
(+.f64 #s(literal 1 binary64) i) |
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)) |
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64)) |
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)) |
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n) i) #s(literal 100 binary64)) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i) |
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (pow.f64 n #s(literal 3 binary64))) i))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i) |
(/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) n) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (pow.f64 n #s(literal 3 binary64))) i)))) i) |
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i) |
(/.f64 (fma.f64 (*.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (+.f64 (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 i i)) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64))))) (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (pow.f64 n #s(literal 3 binary64))) i)))) i) |
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) |
(expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) |
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) |
(fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) i) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) |
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1) |
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(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i)))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (exp.f64 i) i) #s(literal -100 binary64) (/.f64 #s(literal 100 binary64) i)) (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) (exp.f64 i)) i (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) n) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i))) n)) (neg.f64 n)) |
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i)))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (exp.f64 i) i) #s(literal -100 binary64) (/.f64 #s(literal 100 binary64) i)) (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) (exp.f64 i)) i (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) (exp.f64 i)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) (*.f64 (*.f64 (/.f64 (exp.f64 i) i) #s(literal 100 binary64)) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n))) (neg.f64 n))) n)) (neg.f64 n)) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* 1/2 (/ (* i (exp i)) n))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (/.f64 (exp.f64 i) (neg.f64 i))) (neg.f64 n)) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 i)) i (*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) (/.f64 (exp.f64 i) n))) (neg.f64 n)) (/.f64 (exp.f64 i) i)) (neg.f64 n)) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 i)) i (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) i) (/.f64 (exp.f64 i) n) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (neg.f64 i))) (neg.f64 n))) (neg.f64 n)) (/.f64 (exp.f64 i) i)) (neg.f64 n)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) |
(-.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 i)) i (*.f64 (/.f64 (exp.f64 i) (neg.f64 i)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n))) n)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) |
(-.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 i)) i (/.f64 (fma.f64 (/.f64 (exp.f64 i) (neg.f64 i)) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n) (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i))) (neg.f64 n))) n)) |
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n))) |
(-.f64 i (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal -1/3 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) i) i)) n)) |
(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n))) |
(-.f64 i (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) i) i (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal -1/4 binary64) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (neg.f64 n))) n)) |
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n)) |
(/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal 1/2 binary64) (neg.f64 i)) (neg.f64 n)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 i (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) i) i)) n))) n) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) i (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal 1/4 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (neg.f64 n))) (neg.f64 n)) i) (neg.f64 n)) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (exp.f64 i) i)) (neg.f64 n)) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* 1/2 (/ (* i (exp i)) n)) (/ 1 i))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (exp.f64 i) i))) (neg.f64 n)) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (/ 1 i))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 i)) i (*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) (/.f64 (exp.f64 i) n))) n)) (/.f64 (exp.f64 i) i)) (neg.f64 n)) |
(* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (/ 1 i))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 i)) i (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) i) (/.f64 (exp.f64 i) n) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (neg.f64 i))) (neg.f64 n))) n)) (/.f64 (exp.f64 i) i)) (neg.f64 n)) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(-.f64 (exp.f64 i) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 i)) (*.f64 i i) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (neg.f64 n))) n)) |
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) |
(-.f64 (exp.f64 i) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 i)) (*.f64 i i) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i) (/.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (exp.f64 i)) (neg.f64 n))) (neg.f64 n))) n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 335 |
| 0 | 100 | 326 |
| 1 | 365 | 314 |
| 2 | 2842 | 306 |
| 0 | 8745 | 300 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (/.f64 n i) #s(literal 100 binary64)) |
(/.f64 n i) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (/ 0 i) #s(literal 0 binary64)) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)))) |
(*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))) |
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) |
(fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) |
(fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n)) |
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))) |
(/.f64 #s(literal -1 binary64) i) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) |
(/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) |
(*.f64 (log1p.f64 (/.f64 i n)) n) |
(log1p.f64 (/.f64 i n)) |
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 n n)) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n)) |
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 n) i)) |
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (*.f64 #s(literal 1 binary64) i)) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (/.f64 n i)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -100 binary64) i) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 (pow.f64 n #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal -100 binary64) i) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal -1 binary64) n))) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) (/.f64 #s(literal 100 binary64) (neg.f64 (pow.f64 n #s(literal -1 binary64))))) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i) (/.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) n))) |
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (pow.f64 n #s(literal -1 binary64))) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 #s(literal -1 binary64) n)) (/.f64 #s(literal -1 binary64) i)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (*.f64 #s(literal 1 binary64) i)) (/.f64 #s(literal 100 binary64) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) n)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i))) |
(*.f64 (/.f64 #s(literal 100 binary64) (*.f64 #s(literal 1 binary64) i)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal -1 binary64) n)) (/.f64 #s(literal 100 binary64) (neg.f64 i))) |
(*.f64 (/.f64 #s(literal 100 binary64) (neg.f64 i)) (/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 100 binary64) (neg.f64 i)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal -1 binary64) n))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) i)) (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal -1 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal -1 binary64))) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i))) |
(*.f64 (pow.f64 (/.f64 i (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 100 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 i #s(literal 100 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) (/.f64 #s(literal -100 binary64) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (neg.f64 i)) (/.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) n))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 100 binary64) i) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 1 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 n i))) |
(*.f64 (*.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n))) |
(*.f64 (*.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) (neg.f64 n)) |
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) #s(literal 1 binary64)) (/.f64 n i)) |
(*.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) n) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) #s(literal 100 binary64)) |
(*.f64 #s(literal -100 binary64) (/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))) |
(*.f64 (/.f64 n #s(literal 1 binary64)) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i))) |
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(fma.f64 n (/.f64 #s(literal -1 binary64) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (neg.f64 n)) i)) (/.f64 (pow.f64 (/.f64 i n) #s(literal -2 binary64)) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (neg.f64 n)) i))) |
(-.f64 (/.f64 (pow.f64 (/.f64 i n) #s(literal -2 binary64)) (*.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i))) (/.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) #s(literal 2 binary64)) (*.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i)))) |
(-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) (/.f64 n i)) |
(+.f64 (/.f64 (neg.f64 n) i) (*.f64 (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)) n) (/.f64 n i)) (/.f64 (neg.f64 n) i)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (-.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 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 i n) #s(literal 2 binary64))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.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 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (-.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 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #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 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.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) (pow.f64 (/.f64 i n) #s(literal 2 binary64))) n) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal -1 binary64)) n)) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal 1 binary64)) n) (pow.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal -1 binary64)) n)) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal 1 binary64)) n) (pow.f64 (pow.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) n)) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)) #s(literal 1 binary64)) n) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -1 binary64)) n)) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1/2 binary64))) |
(*.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)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal -1 binary64)) (neg.f64 n)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 1 binary64)) n) |
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n))) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64)) (*.f64 n #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 2 binary64)) #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 (+.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)) (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)) n) |
(/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (neg.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64))))) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 (neg.f64 i) n)))) |
(/.f64 (pow.f64 (exp.f64 n) (log.f64 (-.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (exp.f64 n) (log.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64))))) |
(/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)))) (pow.f64 (exp.f64 n) (log1p.f64 (*.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)))))) |
(/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (pow.f64 (/.f64 i n) #s(literal 3 binary64)))) (pow.f64 (exp.f64 n) (log.f64 (-.f64 (+.f64 (pow.f64 (/.f64 i n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 i n))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (neg.f64 n))) |
(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))))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 n)) (log1p.f64 (/.f64 i n)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 2 binary64))) (*.f64 n #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) |
Compiled 39 818 to 4 094 computations (89.7% saved)
54 alts after pruning (47 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 011 | 20 | 1 031 |
| Fresh | 20 | 27 | 47 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 033 | 54 | 1 087 |
| Status | Accuracy | Program |
|---|---|---|
| 20.1% | (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal -100 binary64) (/.f64 n i))) | |
| 19.5% | (fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 #s(literal 100 binary64) n) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) #s(literal 100 binary64)) i)) | |
| 19.9% | (fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) #s(literal 100 binary64)) i)) | |
| 60.7% | (/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) (/.f64 i n)) | |
| 14.3% | (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n)) | |
| 2.4% | (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (*.f64 #s(literal -50 binary64) (/.f64 i n))) i)) (/.f64 i n)) | |
| 45.5% | (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) #s(literal 100 binary64)) i)) (/.f64 i n)) | |
| ✓ | 76.6% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) |
| 60.5% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) #s(approx (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n))))) | |
| 50.2% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) #s(approx (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/.f64 #s(literal 1 binary64) n)))) | |
| 60.6% | (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (fma.f64 (*.f64 #s(literal 1/100 binary64) i) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/100 binary64) n)))) | |
| 50.4% | (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/.f64 #s(literal 1/100 binary64) n))) | |
| 23.3% | (+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) #s(literal 100 binary64)) i) (*.f64 #s(literal -100 binary64) (/.f64 n i))) | |
| 10.8% | (+.f64 (*.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64)) i)) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) | |
| 17.4% | (+.f64 (*.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) | |
| 75.6% | (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) n) i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) | |
| ✓ | 75.9% | (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
| 15.3% | (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)))) | |
| 3.6% | (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))))) | |
| 36.7% | (*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64)) i))) | |
| 44.3% | (*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i))) | |
| 25.2% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) | |
| ✓ | 75.6% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
| 14.3% | (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) | |
| 19.7% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))) | |
| ✓ | 19.6% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))) |
| 11.2% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) i) n))) | |
| 12.6% | (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n))) | |
| ✓ | 25.5% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 14.5% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) | |
| 15.2% | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) | |
| 12.1% | (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) n) i)) | |
| 10.6% | (*.f64 #s(literal 100 binary64) (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 n i)) (/.f64 n i))) | |
| 48.2% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))) | |
| 50.2% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))) | |
| 54.9% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) | |
| 64.5% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))) | |
| 13.6% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))) | |
| 15.2% | (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (expm1.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))) (log.f64 (neg.f64 n))) n)) (/.f64 n i)))) | |
| 45.5% | #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64))) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n))) | |
| 52.1% | #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n))) | |
| 54.9% | #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) | |
| 52.0% | #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n))) n))) i (*.f64 #s(literal 100 binary64) n))) | |
| 57.4% | #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(approx (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) n)) i (*.f64 #s(literal 100 binary64) n))) | |
| 39.3% | #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i) #s(literal 100 binary64))) n (*.f64 #s(literal 100/3 binary64) (*.f64 i i))) n))) | |
| 20.6% | #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 #s(literal 100 binary64) n) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i))) i)) (*.f64 i i)))) | |
| 57.3% | #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) | |
| 6.6% | #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64)))) | |
| 47.0% | #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 i n) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)) i #s(literal 0 binary64)) i)) | |
| 45.5% | #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)) | |
| 73.4% | #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) | |
| ✓ | 18.5% | #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
| 48.2% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) | |
| ✓ | 50.6% | #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
Compiled 5 321 to 1 795 computations (66.3% saved)
| Inputs |
|---|
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64)))) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i))) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/.f64 #s(literal 1/100 binary64) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(approx (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) n)) i (*.f64 #s(literal 100 binary64) n))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) #s(approx (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) i)) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))))) |
(+.f64 (*.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -50 binary64)))) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (*.f64 #s(literal -50 binary64) (/.f64 i n))) i)) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)))) |
(*.f64 (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) i) n) |
(/.f64 (*.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) n) i) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)) i #s(literal 0 binary64)) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) i) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) #s(literal 100 binary64) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -50 binary64) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) i)))) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64))) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n) i (*.f64 #s(literal -50 binary64) (*.f64 i i))) n))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) #s(approx (* (neg i) (- (/ (- 1/2 (/ 1/2 n)) (neg i)) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/6 binary64)) i))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i) #s(literal 100 binary64))) n (*.f64 #s(literal 100/3 binary64) (*.f64 i i))) n))) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (fma.f64 (*.f64 #s(literal 1/100 binary64) i) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/100 binary64) n)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) #s(approx (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n))))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n))) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) n) i)) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64)) i))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64)) i)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 n i)) (/.f64 n i))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 i n) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)) i #s(literal 0 binary64)) i)) |
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 #s(literal 100 binary64) n) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i))) i)) (*.f64 i i)))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) i) n))) |
(+.f64 (*.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64)) i)) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) i) (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n))) (neg.f64 i))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))) |
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) (/.f64 i n)) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (/.f64 i n)) n)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) i))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) #s(literal 100 binary64)) i) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) #s(literal 100 binary64)) i)) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i)) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) #s(approx (* (+ (* (/ i (* n n)) -1/2) (/ 1 n)) i) (/.f64 (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (*.f64 n i)) (*.f64 n n)))) n)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 #s(literal 100 binary64) n) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) #s(literal 100 binary64)) i)) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) n)))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i))))) |
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n)) |
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) n) i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) n) i) |
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (expm1.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))) (log.f64 (neg.f64 n))) n)) (/.f64 n i)))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) n))) #s(literal 100 binary64)) (/.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i i) n)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)) (pow.f64 (/.f64 n i) #s(literal 2 binary64))) #s(literal 100 binary64)) (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 n i))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 3 binary64)) (pow.f64 (/.f64 n i) #s(literal 3 binary64))) #s(literal 100 binary64)) (fma.f64 (/.f64 n i) (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 n i)) (pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 2 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n)) n) (fma.f64 n n (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i))) i) (*.f64 (*.f64 #s(literal -100 binary64) n) (expm1.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))) (log.f64 (neg.f64 n))) n)))) (neg.f64 i))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) |
(+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i)) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (fma.f64 (*.f64 #s(literal 1/100 binary64) i) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/100 binary64) n)))) |
4 calls:
| 27.0ms | i |
| 26.0ms | n |
| 22.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 21.0ms | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.9% | 4 | i |
| 90.7% | 3 | n |
| 98.2% | 3 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 98.2% | 3 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64)))) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i))) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/.f64 #s(literal 1/100 binary64) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(approx (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) n)) i (*.f64 #s(literal 100 binary64) n))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) #s(approx (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) i)) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) |
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(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n)) |
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) n) i) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) n) i) |
| Outputs |
|---|
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) |
(+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i)) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (fma.f64 (*.f64 #s(literal 1/100 binary64) i) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/100 binary64) n)))) |
2 calls:
| 20.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 20.0ms | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 3 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 96.7% | 3 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
Compiled 28 to 18 computations (35.7% saved)
| Inputs |
|---|
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64)))) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i))) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/.f64 #s(literal 1/100 binary64) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(approx (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) n)) i (*.f64 #s(literal 100 binary64) n))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) #s(approx (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) i)) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))))) |
(+.f64 (*.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -50 binary64)))) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (*.f64 #s(literal -50 binary64) (/.f64 i n))) i)) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)))) |
(*.f64 (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) i) n) |
(/.f64 (*.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) n) i) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)) i #s(literal 0 binary64)) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) i) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) #s(literal 100 binary64) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -50 binary64) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) i)))) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64))) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n) i (*.f64 #s(literal -50 binary64) (*.f64 i i))) n))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) #s(approx (* (neg i) (- (/ (- 1/2 (/ 1/2 n)) (neg i)) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/6 binary64)) i))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i) #s(literal 100 binary64))) n (*.f64 #s(literal 100/3 binary64) (*.f64 i i))) n))) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (fma.f64 (*.f64 #s(literal 1/100 binary64) i) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/100 binary64) n)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) #s(approx (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n))))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n))) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) n) i)) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64)) i))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64)) i)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 n i)) (/.f64 n i))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 i n) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)) i #s(literal 0 binary64)) i)) |
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 #s(literal 100 binary64) n) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i))) i)) (*.f64 i i)))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) i) n))) |
(+.f64 (*.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64)) i)) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) i) (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n))) (neg.f64 i))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))) |
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) (/.f64 i n)) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (/.f64 i n)) n)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) i))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) #s(literal 100 binary64)) i) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) #s(literal 100 binary64)) i)) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i)) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) #s(approx (* (+ (* (/ i (* n n)) -1/2) (/ 1 n)) i) (/.f64 (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (*.f64 n i)) (*.f64 n n)))) n)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 #s(literal 100 binary64) n) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) #s(literal 100 binary64)) i)) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) n)))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i))))) |
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n)) |
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) |
(+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i)) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (fma.f64 (*.f64 #s(literal 1/100 binary64) i) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/100 binary64) n)))) |
2 calls:
| 20.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 19.0ms | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 3 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 96.4% | 3 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
Compiled 28 to 18 computations (35.7% saved)
| Inputs |
|---|
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64)))) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i))) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/.f64 #s(literal 1/100 binary64) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(approx (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) n)) i (*.f64 #s(literal 100 binary64) n))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) #s(approx (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) i)) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))))) |
(+.f64 (*.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -50 binary64)))) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (*.f64 #s(literal -50 binary64) (/.f64 i n))) i)) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)))) |
(*.f64 (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) i) n) |
(/.f64 (*.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) n) i) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)) i #s(literal 0 binary64)) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) i) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) #s(literal 100 binary64) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -50 binary64) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) i)))) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64))) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n) i (*.f64 #s(literal -50 binary64) (*.f64 i i))) n))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) #s(approx (* (neg i) (- (/ (- 1/2 (/ 1/2 n)) (neg i)) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/6 binary64)) i))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i) #s(literal 100 binary64))) n (*.f64 #s(literal 100/3 binary64) (*.f64 i i))) n))) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (fma.f64 (*.f64 #s(literal 1/100 binary64) i) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/100 binary64) n)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) #s(approx (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n))))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n))) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) n) i)) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64)) i))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64)) i)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 n i)) (/.f64 n i))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 i n) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)) i #s(literal 0 binary64)) i)) |
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 #s(literal 100 binary64) n) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i))) i)) (*.f64 i i)))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) i) n))) |
(+.f64 (*.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64)) i)) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) i) (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n))) (neg.f64 i))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))) |
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) (/.f64 i n)) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (/.f64 i n)) n)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) i))))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) #s(literal 100 binary64)) i) (*.f64 #s(literal -100 binary64) (/.f64 n i))) |
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) #s(literal 100 binary64)) i)) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i)) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) #s(approx (* (+ (* (/ i (* n n)) -1/2) (/ 1 n)) i) (/.f64 (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (*.f64 n i)) (*.f64 n n)))) n)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 #s(literal 100 binary64) n) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) #s(literal 100 binary64)) i)) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) i)) n)))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i))))) |
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 i n) (/.f64 #s(literal -1/2 binary64) n)) i) i i)))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) i (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n)) |
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) (/.f64 i n)) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
(*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (fma.f64 (*.f64 #s(literal 1/100 binary64) i) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/100 binary64) n)))) |
4 calls:
| 23.0ms | n |
| 23.0ms | i |
| 20.0ms | (*.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))) |
| 19.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.6% | 2 | i |
| 79.6% | 3 | n |
| 81.5% | 3 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 81.5% | 3 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64)))) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i))) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/.f64 #s(literal 1/100 binary64) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(approx (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) n)) i (*.f64 #s(literal 100 binary64) n))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) #s(approx (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) i)) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))))) |
(+.f64 (*.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -50 binary64)))) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (*.f64 #s(literal -50 binary64) (/.f64 i n))) i)) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)))) |
(*.f64 (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) i) n) |
(/.f64 (*.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) n) i) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)) i #s(literal 0 binary64)) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) i) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) #s(literal 100 binary64) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -50 binary64) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) i)))) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64))) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n) i (*.f64 #s(literal -50 binary64) (*.f64 i i))) n))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) #s(approx (* (neg i) (- (/ (- 1/2 (/ 1/2 n)) (neg i)) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/6 binary64)) i))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i) #s(literal 100 binary64))) n (*.f64 #s(literal 100/3 binary64) (*.f64 i i))) n))) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (fma.f64 (*.f64 #s(literal 1/100 binary64) i) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/100 binary64) n)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) #s(approx (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n))))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n))) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) n) i)) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64)) i))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64)) i)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 n i)) (/.f64 n i))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 i n) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)) i #s(literal 0 binary64)) i)) |
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 #s(literal 100 binary64) n) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i))) i)) (*.f64 i i)))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) i) n))) |
(+.f64 (*.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64)) i)) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) i) (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n))) (neg.f64 i))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n))) |
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))) (/.f64 i n)) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (/.f64 i n)) n)))) |
| Outputs |
|---|
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (fma.f64 (*.f64 #s(literal 1/100 binary64) i) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/100 binary64) n)))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) |
3 calls:
| 17.0ms | n |
| 14.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 13.0ms | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.6% | 3 | n |
| 77.6% | 2 | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 77.6% | 2 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
Compiled 29 to 20 computations (31% saved)
| Inputs |
|---|
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64)))) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i))) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/.f64 #s(literal 1/100 binary64) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(approx (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) n)) i (*.f64 #s(literal 100 binary64) n))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) #s(approx (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) i)) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))))) |
(+.f64 (*.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -50 binary64)))) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (*.f64 #s(literal -50 binary64) (/.f64 i n))) i)) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)))) |
(*.f64 (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) i) n) |
(/.f64 (*.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) n) i) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)) i #s(literal 0 binary64)) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) i) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) #s(literal 100 binary64) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -50 binary64) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) i)))) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64))) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n) i (*.f64 #s(literal -50 binary64) (*.f64 i i))) n))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) #s(approx (* (neg i) (- (/ (- 1/2 (/ 1/2 n)) (neg i)) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/6 binary64)) i))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i) #s(literal 100 binary64))) n (*.f64 #s(literal 100/3 binary64) (*.f64 i i))) n))) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (fma.f64 (*.f64 #s(literal 1/100 binary64) i) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/100 binary64) n)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) #s(approx (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n))))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n))) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) n) i)) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64)) i))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64)) i)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 n i)) (/.f64 n i))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 i n) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)) i #s(literal 0 binary64)) i)) |
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 #s(literal 100 binary64) n) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n (/.f64 n i))) i)) (*.f64 i i)))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) i) n))) |
(+.f64 (*.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64)) i)) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (neg.f64 i) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 i)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) i) (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n))) (neg.f64 i))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)))) |
| Outputs |
|---|
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 i n) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)) i #s(literal 0 binary64)) i)) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (fma.f64 (*.f64 #s(literal 1/100 binary64) i) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/100 binary64) n)))) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)) i #s(literal 0 binary64)) i)) |
4 calls:
| 15.0ms | n |
| 15.0ms | i |
| 12.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 12.0ms | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.5% | 3 | i |
| 60.6% | 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))) |
| 60.6% | 1 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 68.9% | 3 | n |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64)))) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i))) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/.f64 #s(literal 1/100 binary64) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(approx (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) n)) i (*.f64 #s(literal 100 binary64) n))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) #s(approx (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) i)) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))))) |
(+.f64 (*.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -50 binary64)))) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (*.f64 #s(literal -50 binary64) (/.f64 i n))) i)) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)))) |
(*.f64 (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) i) n) |
(/.f64 (*.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) n) i) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)) i #s(literal 0 binary64)) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) i) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) #s(literal 100 binary64) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -50 binary64) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) i)))) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64))) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n) i (*.f64 #s(literal -50 binary64) (*.f64 i i))) n))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) #s(approx (* (neg i) (- (/ (- 1/2 (/ 1/2 n)) (neg i)) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/6 binary64)) i))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i) #s(literal 100 binary64))) n (*.f64 #s(literal 100/3 binary64) (*.f64 i i))) n))) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (fma.f64 (*.f64 #s(literal 1/100 binary64) i) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/100 binary64) n)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) #s(approx (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) i (/.f64 #s(literal 1 binary64) n))))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 n i) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n))) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 (/.f64 (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 100 binary64) #s(literal -100 binary64)) i) n) |
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) n) i)) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64)) i))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64)) i)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) (/.f64 n i)) (/.f64 n i))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
| Outputs |
|---|
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (fma.f64 (*.f64 #s(literal 1/100 binary64) i) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/100 binary64) n)))) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)) i #s(literal 0 binary64)) i)) |
1 calls:
| 13.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.6% | 3 | n |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64)))) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i))) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/.f64 #s(literal 1/100 binary64) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(approx (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) n)) i (*.f64 #s(literal 100 binary64) n))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) #s(approx (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) i)) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))))) |
(+.f64 (*.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -50 binary64)))) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (*.f64 #s(literal -50 binary64) (/.f64 i n))) i)) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)))) |
(*.f64 (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) i) n) |
(/.f64 (*.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) n) i) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)) i #s(literal 0 binary64)) i)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 #s(approx (* (- 1/2 (/ 1/2 n)) i) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) #s(literal 100 binary64) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -50 binary64) (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) i)))) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64))) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n) i (*.f64 #s(literal -50 binary64) (*.f64 i i))) n))) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 #s(approx (+ (* (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)) i) (- 1/2 (/ 1/2 n))) #s(approx (* (neg i) (- (/ (- 1/2 (/ 1/2 n)) (neg i)) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1/6 binary64)) i))) i #s(literal 1 binary64)) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 i n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) i) #s(literal 100 binary64))) n (*.f64 #s(literal 100/3 binary64) (*.f64 i i))) n))) |
| Outputs |
|---|
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)) i #s(literal 0 binary64)) i)) |
2 calls:
| 10.0ms | n |
| 10.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.4% | 2 | i |
| 66.7% | 3 | n |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64)))) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i))) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/.f64 #s(literal 1/100 binary64) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(approx (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) n)) i (*.f64 #s(literal 100 binary64) n))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) #s(approx (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) i)) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))))) |
(+.f64 (*.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -50 binary64)))) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (*.f64 #s(literal -50 binary64) (/.f64 i n))) i)) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)))) |
(*.f64 (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) i) n) |
(/.f64 (*.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) n) i) |
| Outputs |
|---|
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
(/.f64 (*.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) n) i) |
1 calls:
| 7.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.7% | 3 | n |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64)))) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i))) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/.f64 #s(literal 1/100 binary64) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(approx (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) n)) i (*.f64 #s(literal 100 binary64) n))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) #s(approx (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) i)) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))))) |
(+.f64 (*.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -50 binary64)))) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (*.f64 #s(literal -50 binary64) (/.f64 i n))) i)) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)))) |
(*.f64 (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) i) n) |
| Outputs |
|---|
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
(*.f64 (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) i) n) |
1 calls:
| 7.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.0% | 3 | n |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64)))) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i))) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/.f64 #s(literal 1/100 binary64) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(approx (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) n)) i (*.f64 #s(literal 100 binary64) n))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) #s(approx (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) #s(literal 100 binary64)) i)) (/.f64 i n)) |
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) |
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) (+.f64 #s(literal 1 binary64) i)) #s(literal 1 binary64)) (/.f64 i n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) i)) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (/.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) i) n))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))))) |
(+.f64 (*.f64 (*.f64 #s(approx (/ (pow (+ (/ i n) 1) n) i) (/.f64 #s(literal 1 binary64) i)) n) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(approx (* (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -50 binary64)))) (/.f64 i n)) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(approx (+ (* (* (- 1/2 (/ 1/2 n)) i) 100) 100) (*.f64 #s(literal -50 binary64) (/.f64 i n))) i)) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 (*.f64 #s(literal 100 binary64) #s(approx (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n))) i (*.f64 #s(literal 100 binary64) n))) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i))) |
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)))) |
| Outputs |
|---|
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) |
(/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) |
1 calls:
| 7.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.7% | 3 | n |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64)))) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i))) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)) |
(/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (/.f64 #s(literal 1/100 binary64) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(approx (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) (*.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) n)) i (*.f64 #s(literal 100 binary64) n))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) #s(approx (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/.f64 #s(literal 1 binary64) n)))) |
| Outputs |
|---|
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) |
(*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) |
1 calls:
| 3.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.1% | 3 | n |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64)))) |
| Outputs |
|---|
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) |
2 calls:
| 2.0ms | n |
| 2.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.4% | 2 | i |
| 64.6% | 3 | n |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 #s(literal 0 binary64) i)) |
| Outputs |
|---|
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
4 calls:
| 2.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 2.0ms | i |
| 2.0ms | n |
| 1.0ms | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.6% | 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))) |
| 50.6% | 1 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 57.5% | 3 | n |
| 62.0% | 3 | i |
Compiled 30 to 22 computations (26.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
| Outputs |
|---|
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
4 calls:
| 1.0ms | i |
| 1.0ms | n |
| 1.0ms | (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) |
| 1.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.5% | 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))) |
| 18.5% | 1 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) |
| 18.5% | 1 | n |
| 18.5% | 1 | i |
Compiled 30 to 22 computations (26.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 8.779405596797577e-303 | 1.1594152806288764e-235 |
Compiled 18 to 15 computations (16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 8.779405596797577e-303 | 1.1594152806288764e-235 |
Compiled 18 to 15 computations (16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 8.779405596797577e-303 | 1.1594152806288764e-235 |
Compiled 18 to 15 computations (16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 0.0 | 8.779405596797577e-303 |
Compiled 18 to 15 computations (16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 8.937572091766515e-10 | 1.6253947271538962e-7 |
| 39.0ms | -1.3060786403694226e-207 | -2.3883905332939243e-209 |
| 38.0ms | 102× | 2 | valid |
| 9.0ms | 50× | 1 | valid |
| 7.0ms | 135× | 0 | invalid |
| 6.0ms | 9× | 3 | valid |
| 4.0ms | 63× | 0 | valid |
Compiled 858 to 603 computations (29.7% saved)
ival-pow: 32.0ms (59.7% of total)ival-div: 8.0ms (14.9% of total)adjust: 5.0ms (9.3% of total)ival-mult: 3.0ms (5.6% of total)ival-sub: 3.0ms (5.6% of total)ival-add: 2.0ms (3.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.937572091766515e-10 | 1.6253947271538962e-7 |
| 35.0ms | -2.3439888942524292e+97 | -9.851710327741037e+92 |
| 19.0ms | 67× | 1 | valid |
| 7.0ms | 16× | 2 | valid |
| 3.0ms | 45× | 0 | valid |
Compiled 1 264 to 852 computations (32.6% saved)
ival-pow: 17.0ms (66.6% of total)ival-div: 3.0ms (11.8% of total)adjust: 2.0ms (7.8% of total)ival-add: 1.0ms (3.9% of total)ival-sub: 1.0ms (3.9% of total)ival-mult: 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 |
|---|---|---|
| 3.0ms | 8.937572091766515e-10 | 1.6253947271538962e-7 |
| 32.0ms | -2.3439888942524292e+97 | -9.851710327741037e+92 |
| 17.0ms | 64× | 1 | valid |
| 7.0ms | 15× | 2 | valid |
| 2.0ms | 33× | 0 | valid |
Compiled 1 304 to 884 computations (32.2% saved)
ival-pow: 16.0ms (69.4% of total)ival-div: 3.0ms (13% of total)adjust: 2.0ms (8.7% of total)ival-add: 1.0ms (4.3% of total)ival-sub: 1.0ms (4.3% of total)ival-mult: 1.0ms (4.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.937572091766515e-10 | 1.6253947271538962e-7 |
| 26.0ms | -1.0186517214662422e+68 | -7.13973075119616e+66 |
| 14.0ms | 47× | 1 | valid |
| 4.0ms | 10× | 2 | valid |
| 3.0ms | 39× | 0 | valid |
Compiled 917 to 652 computations (28.9% saved)
ival-pow: 13.0ms (69.4% of total)ival-div: 2.0ms (10.7% of total)ival-add: 1.0ms (5.3% of total)adjust: 1.0ms (5.3% of total)ival-sub: 1.0ms (5.3% of total)ival-mult: 1.0ms (5.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.937572091766515e-10 | 1.6253947271538962e-7 |
| 1.0ms | -1.0186517214662422e+68 | -7.13973075119616e+66 |
Compiled 861 to 624 computations (27.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.937572091766515e-10 | 1.6253947271538962e-7 |
| 1.0ms | -1.0186517214662422e+68 | -7.13973075119616e+66 |
Compiled 861 to 624 computations (27.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 8.937572091766515e-10 | 1.6253947271538962e-7 |
| 1.0ms | -1.0186517214662422e+68 | -7.13973075119616e+66 |
| 8.0ms | 19× | 2 | valid |
| 5.0ms | 22× | 1 | valid |
| 2.0ms | 23× | 0 | valid |
| 0.0ms | 9× | 0 | invalid |
Compiled 1 071 to 743 computations (30.6% saved)
ival-pow: 8.0ms (65.2% of total)ival-div: 2.0ms (16.3% of total)adjust: 1.0ms (8.2% of total)ival-add: 1.0ms (8.2% of total)ival-mult: 1.0ms (8.2% of total)ival-sub: 1.0ms (8.2% 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 |
|---|---|---|
| 6.0ms | 8.937572091766515e-10 | 1.6253947271538962e-7 |
| 16.0ms | -5.120152286677152e-10 | -3.7743318047099887e-10 |
| 10.0ms | 24× | 2 | valid |
| 5.0ms | 25× | 1 | valid |
| 1.0ms | 20× | 0 | invalid |
| 1.0ms | 15× | 0 | valid |
Compiled 828 to 575 computations (30.6% saved)
ival-pow: 10.0ms (65.6% of total)ival-div: 2.0ms (13.1% of total)adjust: 1.0ms (6.6% of total)ival-add: 1.0ms (6.6% of total)ival-mult: 1.0ms (6.6% of total)ival-sub: 1.0ms (6.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 49.0ms | -42.007437459169246 | -1.1040863299116128e-23 |
| 35.0ms | 169× | 1 | valid |
| 4.0ms | 82× | 0 | invalid |
| 0.0ms | 7× | 0 | valid |
Compiled 964 to 664 computations (31.1% saved)
ival-pow: 17.0ms (53.6% of total)ival-div: 6.0ms (18.9% of total)adjust: 3.0ms (9.5% of total)ival-add: 2.0ms (6.3% of total)ival-sub: 2.0ms (6.3% of total)ival-mult: 2.0ms (6.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.7489151181883376e+20 | 2.2523716052004818e+20 |
| 1.0ms | -42.007437459169246 | -1.1040863299116128e-23 |
| 8.0ms | 39× | 1 | valid |
| 1.0ms | 23× | 0 | invalid |
| 1.0ms | 9× | 0 | valid |
Compiled 648 to 491 computations (24.2% saved)
ival-pow: 4.0ms (53.6% of total)adjust: 1.0ms (13.4% of total)ival-div: 1.0ms (13.4% of total)ival-mult: 1.0ms (13.4% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 176 | 1411 |
| 1 | 273 | 1376 |
| 2 | 464 | 1359 |
| 3 | 1144 | 1359 |
| 4 | 3691 | 1345 |
| 5 | 7597 | 1345 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) 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 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i)) (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (fma.f64 (*.f64 #s(literal 1/100 binary64) i) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/100 binary64) n)))))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 binary64)) (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) 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 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i)) (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (fma.f64 (*.f64 #s(literal 1/100 binary64) i) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/100 binary64) n)))))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 binary64)) (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) 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 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i)) (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (fma.f64 (*.f64 #s(literal 1/100 binary64) i) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/100 binary64) n)))))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 0 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 (/.f64 n i) #s(literal 100 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (fma.f64 (*.f64 #s(literal 1/100 binary64) i) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/100 binary64) n)))))) |
(if (<=.f64 n #s(literal -4811939048745445/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)) (if (<=.f64 n #s(literal 3022314549036573/18889465931478580854784 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (fma.f64 (*.f64 #s(literal 1/100 binary64) i) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/100 binary64) n)))) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)))) |
(if (<=.f64 n #s(literal -149999999999999995622138157885155541177871407926127558561387509830204502224439269897364377174016 binary64)) #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 i n) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n)) i #s(literal 0 binary64)) i)) (if (<=.f64 n #s(literal 3022314549036573/18889465931478580854784 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (fma.f64 (*.f64 #s(literal 1/100 binary64) i) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/100 binary64) n)))) #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)) i #s(literal 0 binary64)) i)))) |
(if (<=.f64 n #s(literal -21000000000000001165665832789098537470952326843104122824821215840467693957489988147176684073779200 binary64)) #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) (if (<=.f64 n #s(literal 3022314549036573/18889465931478580854784 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (fma.f64 (*.f64 #s(literal 1/100 binary64) i) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/100 binary64) n)))) #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)) i #s(literal 0 binary64)) i)))) |
(if (<=.f64 n #s(literal -7500000000000000244670237536100345798073154332054152240851591364608 binary64)) #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) (if (<=.f64 n #s(literal 2833419889721787/18889465931478580854784 binary64)) (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)) i #s(literal 0 binary64)) i)))) |
(if (<=.f64 n #s(literal -7500000000000000244670237536100345798073154332054152240851591364608 binary64)) #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) (if (<=.f64 n #s(literal 2833419889721787/18889465931478580854784 binary64)) (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) (/.f64 (*.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) n) i))) |
(if (<=.f64 n #s(literal -7500000000000000244670237536100345798073154332054152240851591364608 binary64)) #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) (if (<=.f64 n #s(literal 2833419889721787/18889465931478580854784 binary64)) (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) (*.f64 (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 100 binary64) #s(literal 100 binary64)) i)) i) n))) |
(if (<=.f64 n #s(literal -7500000000000000244670237536100345798073154332054152240851591364608 binary64)) #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) (if (<=.f64 n #s(literal 5289050460814003/75557863725914323419136 binary64)) (/.f64 #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i)) (/.f64 i n)) #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))))) |
(if (<=.f64 n #s(literal -2030995376952577/4835703278458516698824704 binary64)) #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))) (if (<=.f64 n #s(literal 1369486280032197/9444732965739290427392 binary64)) (*.f64 (/.f64 n i) #s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i))) #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n))))) |
(if (<=.f64 i #s(literal -8106479329266893/1125899906842624 binary64)) #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n)))) |
(if (<=.f64 i #s(literal -8106479329266893/1125899906842624 binary64)) #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) (if (<=.f64 i #s(literal 180000000000000000000 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))))) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #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 1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) 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 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i)) (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (fma.f64 (*.f64 #s(literal 1/100 binary64) i) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/100 binary64) n)))))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) 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 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal 100 binary64)) i)) (pow.f64 #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (fma.f64 (*.f64 #s(literal 1/100 binary64) i) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/100 binary64) n))) #s(literal -1 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 1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 binary64)) (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) 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 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n) #s(literal 100 binary64)) (/.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i)) (/.f64 #s(literal 1 binary64) #s(approx (* 1/100 (/ (/ i n) (- (exp (* (log (+ 1 (/ i n))) n)) 1))) (fma.f64 (*.f64 #s(literal 1/100 binary64) i) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1/100 binary64) n)))))) |
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(if (<=.f64 i #s(literal -8106479329266893/1125899906842624 binary64)) #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (/ 0 i) #s(literal 0 binary64))) #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (/ 1/3 (* n n)) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n))) i) (* 100 n)) (*.f64 (fma.f64 (+.f64 #s(literal 50 binary64) (*.f64 i #s(literal 50/3 binary64))) i #s(literal 100 binary64)) n)))) |
(if (<=.f64 i #s(literal -8106479329266893/1125899906842624 binary64)) #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) (if (<=.f64 i #s(literal 180000000000000000000 binary64)) #s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n)) #s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))))) |
(if (<=.f64 i #s(literal -8106479329266893/1125899906842624 binary64)) #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (/ 0 i) #s(literal 0 binary64))) (if (<=.f64 i #s(literal 180000000000000000000 binary64)) #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (*.f64 #s(literal 100 binary64) n)) #s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (/ 0 i) #s(literal 0 binary64))))) |
#s(approx (+ (* (* (/ (pow (+ (/ i n) 1) n) i) n) 100) (* (/ (neg n) i) 100)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(approx (/ 0 i) #s(literal 0 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1185 | 10135 |
| 1 | 3728 | 9240 |
| 0 | 8272 | 8570 |
| 0 | 61 | 335 |
| 0 | 100 | 326 |
| 1 | 365 | 314 |
| 2 | 2842 | 306 |
| 0 | 8745 | 300 |
| 0 | 76 | 535 |
| 0 | 122 | 527 |
| 1 | 479 | 520 |
| 2 | 3970 | 500 |
| 0 | 9074 | 495 |
| 0 | 1042 | 9513 |
| 1 | 3272 | 8694 |
| 0 | 8158 | 8078 |
| 0 | 45 | 305 |
| 0 | 81 | 296 |
| 1 | 338 | 296 |
| 2 | 2679 | 285 |
| 0 | 8517 | 284 |
| 0 | 1337 | 12097 |
| 1 | 4326 | 11147 |
| 0 | 8174 | 10248 |
| 0 | 515 | 3778 |
| 1 | 1624 | 3436 |
| 2 | 5565 | 3189 |
| 0 | 8138 | 2913 |
| 0 | 10 | 44 |
| 0 | 16 | 44 |
| 1 | 73 | 44 |
| 2 | 570 | 44 |
| 3 | 7363 | 44 |
| 0 | 8678 | 38 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 3 388 to 1 156 computations (65.9% saved)
Compiled 3 064 to 402 computations (86.9% saved)
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