
Time bar (total: 7.3s)
| 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 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 2 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 3 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 4 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 5 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 6 |
| 95.2% | 93.7% | 4.7% | 0.1% | 0% | 1.6% | 0% | 7 |
| 96% | 93.7% | 3.9% | 0.1% | 0% | 2.3% | 0% | 8 |
| 97.2% | 93.7% | 2.7% | 0.1% | 0% | 3.5% | 0% | 9 |
| 97.8% | 93.7% | 2.1% | 0.1% | 0% | 4.1% | 0% | 10 |
| 98.5% | 93.7% | 1.5% | 0.1% | 0% | 4.8% | 0% | 11 |
| 98.8% | 93.7% | 1.1% | 0.1% | 0% | 5.1% | 0% | 12 |
Compiled 10 to 8 computations (20% saved)
| 421.0ms | 8 256× | 0 | valid |
| 161.0ms | 3 053× | 0 | exit |
ival-exp: 187.0ms (55.6% of total)ival-div: 79.0ms (23.5% of total)ival-add: 58.0ms (17.2% of total)ival-true: 8.0ms (2.4% of total)ival-assert: 5.0ms (1.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 3 | 0 | - | 0 | - | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 0 | 0 | - | 0 | - | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (exp.f64 b) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (exp.f64 a) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) | u/u | 2 | 0 |
| ↳ | (exp.f64 a) | underflow | 51 | |
| ↳ | (+.f64 (exp.f64 a) (exp.f64 b)) | underflow | 2 | |
| ↳ | (exp.f64 a) | underflow | 51 | |
| ↳ | (exp.f64 b) | underflow | 52 | |
/.f64 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) | o/o | 1 | 0 |
| ↳ | (exp.f64 a) | overflow | 1 | |
| ↳ | (+.f64 (exp.f64 a) (exp.f64 b)) | overflow | 67 | |
| ↳ | (exp.f64 a) | overflow | 1 | |
| ↳ | (exp.f64 b) | overflow | 66 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 3 | 0 |
| - | 0 | 253 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 3 | 0 | 0 |
| - | 0 | 0 | 253 |
| number | freq |
|---|---|
| 0 | 253 |
| 1 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 29.0ms | 512× | 0 | valid |
Compiled 52 to 22 computations (57.7% saved)
ival-exp: 9.0ms (55.7% of total)ival-add: 4.0ms (24.7% of total)ival-div: 3.0ms (18.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 432× | times-frac |
| 352× | div-sub |
| 224× | distribute-lft-in |
| 204× | distribute-rgt-in |
| 182× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 48 |
| 1 | 40 | 48 |
| 2 | 75 | 48 |
| 3 | 144 | 48 |
| 4 | 259 | 43 |
| 5 | 468 | 43 |
| 6 | 645 | 43 |
| 7 | 900 | 43 |
| 8 | 1236 | 43 |
| 9 | 1468 | 43 |
| 10 | 1644 | 42 |
| 11 | 1827 | 42 |
| 12 | 1933 | 42 |
| 13 | 2099 | 42 |
| 14 | 2178 | 42 |
| 15 | 2208 | 42 |
| 16 | 2216 | 42 |
| 17 | 2218 | 42 |
| 18 | 2218 | 42 |
| 0 | 6 | 8 |
| 0 | 10 | 8 |
| 1 | 11 | 8 |
| 0 | 11 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 10 to 6 computations (40% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.8% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 10 to 6 computations (40% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 b) | |
| cost-diff | 0 | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| cost-diff | 0 | (exp.f64 a) | |
| cost-diff | 0 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 4× | lift-exp.f64 |
| 4× | lower-+.f32 |
| 4× | lower-exp.f32 |
| 2× | lift-+.f64 |
| 2× | lift-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 19 |
| 0 | 10 | 19 |
| 1 | 11 | 19 |
| 0 | 11 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(exp.f64 a) |
a |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp.f64 b) |
b |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(exp.f64 a) |
a |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp.f64 b) |
b |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (exp.f64 b) | |
| accuracy | 0 | (exp.f64 a) | |
| accuracy | 0.0078125 | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| accuracy | 0.7617187489924531 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 13.0ms | 256× | 0 | valid |
Compiled 21 to 8 computations (61.9% saved)
ival-exp: 4.0ms (57.4% of total)ival-div: 2.0ms (28.7% of total)ival-add: 1.0ms (14.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ()) |
#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ()) |
#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ()) |
#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (+ 1 (exp b))) (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ 1 (exp a))) (taylor 0 b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) (taylor 0 b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) (taylor 0 b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) (taylor 0 b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 a) (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ 1 (* 1/2 a)))) (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp b)) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ a (exp b))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp a)) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ b (exp a))) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 b) (taylor 0 b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* b (+ 1 (* 1/2 b)))) (taylor 0 b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (taylor 0 b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (exp b) (taylor inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (exp b) (taylor inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (exp b) (taylor inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (exp b) (taylor inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (exp b) (taylor -inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (exp b) (taylor -inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (exp b) (taylor -inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (exp b) (taylor -inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | b | @ | -inf | (/ (exp a) (+ (exp a) (exp b))) |
| 2.0ms | b | @ | inf | (/ (exp a) (+ (exp a) (exp b))) |
| 1.0ms | a | @ | 0 | (/ (exp a) (+ (exp a) (exp b))) |
| 1.0ms | b | @ | 0 | (/ (exp a) (+ (exp a) (exp b))) |
| 1.0ms | a | @ | inf | (/ (exp a) (+ (exp a) (exp b))) |
| 1× | egg-herbie |
| 18 438× | lower-fma.f64 |
| 18 438× | lower-fma.f32 |
| 4 430× | lower-*.f64 |
| 4 430× | lower-*.f32 |
| 2 966× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 740 |
| 1 | 332 | 725 |
| 2 | 963 | 708 |
| 3 | 3702 | 677 |
| 0 | 8342 | 640 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ 1 (exp a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(+ 1 (exp b)) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ 1 (exp a)) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
1 |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
| Outputs |
|---|
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 (+.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 a (fma.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 #s(literal -3/2 binary64) a #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 a (fma.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (fma.f64 a (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 #s(literal -3/2 binary64) a #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 b #s(literal -1/2 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 (-.f64 (*.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 b #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (*.f64 b b) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 #s(literal 1 binary64) a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (+ a (exp b))) |
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) a)) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (+ b (exp a))) |
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
1 |
#s(literal 1 binary64) |
(+ 1 b) |
(+.f64 #s(literal 1 binary64) b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
| 5 200× | lower-/.f32 |
| 5 198× | lower-/.f64 |
| 4 032× | lower-fma.f64 |
| 4 032× | lower-fma.f32 |
| 3 280× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 32 | 17 |
| 2 | 203 | 17 |
| 3 | 1936 | 17 |
| 0 | 8631 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(exp.f64 a) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp.f64 b) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (+.f64 a a))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) |
(+.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (+.f64 a a)))) |
(+.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 a)) (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (exp.f64 b)))) |
(+.f64 (*.f64 (exp.f64 (+.f64 a a)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))) |
(+.f64 (*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (*.f64 (exp.f64 (+.f64 a a)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))) |
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(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) |
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)) |
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(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (exp.f64 a))) |
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(exp.f64 a) |
(exp.f64 (*.f64 (neg.f64 a) #s(literal -1 binary64))) |
(exp.f64 (*.f64 a #s(literal 1 binary64))) |
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(pow.f64 (exp.f64 a) #s(literal 1 binary64)) |
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(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) #s(literal 1 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))) (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 b) (exp.f64 a))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 9 binary64))) (exp.f64 (*.f64 b #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))) (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 6 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))) (neg.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (pow.f64 (neg.f64 (neg.f64 (exp.f64 b))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (*.f64 (neg.f64 (neg.f64 (exp.f64 b))) (neg.f64 (neg.f64 (exp.f64 b)))) (*.f64 (exp.f64 a) (neg.f64 (neg.f64 (exp.f64 b))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))) (*.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (neg.f64 (exp.f64 b))) #s(literal 3 binary64)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (fma.f64 (neg.f64 (neg.f64 (exp.f64 b))) (neg.f64 (neg.f64 (exp.f64 b))) (-.f64 (exp.f64 (+.f64 a a)) (*.f64 (neg.f64 (neg.f64 (exp.f64 b))) (exp.f64 a))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (fma.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))) (*.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))))))) |
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)) |
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))) |
(*.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))) |
(*.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))) |
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) |
(*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) |
(*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))) |
(*.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) |
(*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a)))) |
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (+.f64 (exp.f64 a) (exp.f64 b))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (-.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (+.f64 a a))) (exp.f64 (*.f64 a #s(literal 4 binary64))))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 2 binary64)))) (+.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (*.f64 a #s(literal 9 binary64))) (exp.f64 (*.f64 b #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 6 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) |
(exp.f64 b) |
(exp.f64 (*.f64 b #s(literal 1 binary64))) |
(pow.f64 (exp.f64 b) #s(literal 1 binary64)) |
Compiled 11 216 to 1 164 computations (89.6% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 407 | 6 | 413 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 408 | 6 | 414 |
| Status | Accuracy | Program |
|---|---|---|
| 73.0% | (/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) | |
| ▶ | 64.6% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
| ▶ | 85.5% | (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 (exp.f64 a) (exp.f64 b))) |
| ▶ | 98.8% | (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) |
| ▶ | 85.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
| ▶ | 62.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
Compiled 182 to 114 computations (37.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) | |
| cost-diff | 320 | (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) | |
| cost-diff | 6272 | (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) | |
| cost-diff | 0 | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) a) | |
| cost-diff | 0 | #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) | |
| cost-diff | 0 | (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 (exp.f64 a) (exp.f64 b))) | |
| cost-diff | 0 | #s(approx (exp b) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) | |
| cost-diff | 0 | (exp.f64 a) | |
| cost-diff | 6080 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (exp.f64 b) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (exp.f64 b)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) | |
| cost-diff | 0 | (exp.f64 a) | |
| cost-diff | 0 | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) | |
| cost-diff | 13056 | (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) |
| 5 048× | lower-fma.f64 |
| 5 048× | lower-fma.f32 |
| 2 530× | lower-*.f32 |
| 2 526× | lower-*.f64 |
| 1 160× | lower-/.f32 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 200 |
| 0 | 51 | 200 |
| 1 | 70 | 200 |
| 2 | 103 | 195 |
| 3 | 170 | 194 |
| 4 | 292 | 194 |
| 5 | 519 | 190 |
| 6 | 1037 | 190 |
| 7 | 1783 | 190 |
| 8 | 2583 | 190 |
| 9 | 4496 | 190 |
| 10 | 6208 | 190 |
| 11 | 7695 | 190 |
| 0 | 8035 | 190 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) |
#s(literal 1 binary64) |
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp.f64 a) |
a |
(exp.f64 b) |
b |
(exp.f64 (neg.f64 a)) |
(neg.f64 a) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(exp.f64 b) |
b |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
(exp.f64 a) |
a |
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp b) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 (exp.f64 a) (exp.f64 b))) |
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) |
(+.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp.f64 a) |
(exp.f64 b) |
b |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) |
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) |
b |
(-.f64 #s(literal -1 binary64) (exp.f64 a)) |
#s(literal -1 binary64) |
(exp.f64 a) |
a |
#s(literal 1 binary64) |
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
#s(literal 1 binary64) |
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp.f64 a) |
a |
(exp.f64 b) |
b |
(exp.f64 (neg.f64 a)) |
(neg.f64 a) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(exp.f64 b) |
b |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 a)) #s(approx (exp b) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 a) |
a |
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp b) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 (exp.f64 a) (exp.f64 b))) |
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) |
(+.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp.f64 a) |
(exp.f64 b) |
b |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) |
(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) |
b |
(-.f64 #s(literal -1 binary64) (exp.f64 a)) |
#s(literal -1 binary64) |
(exp.f64 a) |
a |
#s(literal 1 binary64) |
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (+.f64 #s(literal 1 binary64) (exp.f64 a)) | |
| accuracy | 0.01171875 | (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) | |
| accuracy | 0.2773465010508252 | (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) | |
| accuracy | 23.69152569385297 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) | |
| accuracy | 0 | (exp.f64 a) | |
| accuracy | 0.0078125 | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| accuracy | 0.7617187489924531 | (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 (exp.f64 a) (exp.f64 b))) | |
| accuracy | 13.645713782339053 | #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) | |
| accuracy | 0 | (exp.f64 a) | |
| accuracy | 0.0078125 | (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) | |
| accuracy | 0.7617187489924531 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) | |
| accuracy | 29.442269250426122 | #s(approx (exp b) #s(literal 1 binary64)) | |
| accuracy | 0 | (exp.f64 b) | |
| accuracy | 0.00390625 | (+.f64 #s(literal 1 binary64) (exp.f64 b)) | |
| accuracy | 0.01171875 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) | |
| accuracy | 9.45894804338802 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) | |
| accuracy | 0 | (exp.f64 a) | |
| accuracy | 0.0078125 | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| accuracy | 0.02734375 | (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) | |
| accuracy | 0.6718777510508253 | (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) |
| 46.0ms | 256× | 0 | valid |
Compiled 164 to 23 computations (86% saved)
ival-div: 7.0ms (27.4% of total)ival-add: 6.0ms (23.5% of total)ival-exp: 6.0ms (23.5% of total)ival-mult: 3.0ms (11.7% of total)ival-sub: 1.0ms (3.9% of total)ival-neg: 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)| Inputs |
|---|
#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ()) |
#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 b)) #<representation binary64>) () ()) |
#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ()) |
#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (patch #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) a) (patch (+.f64 #s(literal 1 binary64) a) #<representation binary64>) () ()) |
#s(alt (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (patch (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ 1 (exp b)) (taylor 0 a) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b))))))) (taylor 0 a) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2))))))) (taylor 0 a) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2))))))) (taylor 0 a) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (* -1 a)) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (* -1 a)) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (* -1 a)) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (* -1 a)) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg a)) (+ 1 (exp a))) (taylor 0 b) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a)))) (taylor 0 b) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a)))) (taylor 0 b) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a)))) (taylor 0 b) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp b))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* -1 (/ b (+ 1 (exp a))))) (taylor -inf a) (#s(alt (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ b (+ 1 (exp a))))) (taylor -inf a) (#s(alt (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ b (+ 1 (exp a))))) (taylor -inf a) (#s(alt (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ b (+ 1 (exp a))))) (taylor -inf a) (#s(alt (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 a) (taylor 0 a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* a (+ 1 (* 1/2 a)))) (taylor 0 a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (taylor 0 a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp a)) (taylor inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp a)) (taylor inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp a)) (taylor inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp a)) (taylor inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp a)) (taylor -inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp a)) (taylor -inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp a)) (taylor -inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp a)) (taylor -inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ()) |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | b | @ | inf | (/ 1 (+ 1 (exp b))) |
| 2.0ms | a | @ | 0 | (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) |
| 2.0ms | a | @ | inf | (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) |
| 2.0ms | a | @ | -inf | (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) |
| 1.0ms | a | @ | 0 | (+ (/ b (- -1 (exp a))) 1) |
| 1× | egg-herbie |
| 11 090× | lower-fma.f64 |
| 11 090× | lower-fma.f32 |
| 5 088× | lower-+.f64 |
| 5 088× | lower-+.f32 |
| 4 058× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 354 | 4878 |
| 1 | 1073 | 4265 |
| 2 | 3493 | 4015 |
| 0 | 8509 | 3851 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (exp b)) |
(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b))))))) |
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2))))))) |
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2))))))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (* -1 a)) (+ (exp a) (exp b))) |
(* (exp (* -1 a)) (+ (exp a) (exp b))) |
(* (exp (* -1 a)) (+ (exp a) (exp b))) |
(* (exp (* -1 a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ 1 (exp a))) |
(+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a)))) |
(+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a)))) |
(+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a)))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ 1 (exp a)))) |
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) |
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) |
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(+ 1 (exp b)) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ 1 (exp a)) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ 1 (exp a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
1/2 |
(+ 1/2 (* -1/4 b)) |
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) |
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
2 |
(+ 2 b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
1 |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ 1 (exp a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(+ 1 (exp b)) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ 1 (exp a)) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
1 |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ 1 (exp a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
1 |
(+ 1 a) |
(+ 1 a) |
(+ 1 a) |
a |
(* a (+ 1 (/ 1 a))) |
(* a (+ 1 (/ 1 a))) |
(* a (+ 1 (/ 1 a))) |
a |
(* a (+ 1 (/ 1 a))) |
(* a (+ 1 (/ 1 a))) |
(* a (+ 1 (/ 1 a))) |
1/2 |
(+ 1/2 (* 1/4 a)) |
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) |
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))) |
(/ (exp a) (+ 1 (exp a))) |
(/ (exp a) (+ 1 (exp a))) |
(/ (exp a) (+ 1 (exp a))) |
(/ (exp a) (+ 1 (exp a))) |
(/ (exp a) (+ 1 (exp a))) |
(/ (exp a) (+ 1 (exp a))) |
(/ (exp a) (+ 1 (exp a))) |
(/ (exp a) (+ 1 (exp a))) |
(/ (exp a) (+ 1 (exp a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(* 1/2 (+ 1 (* -1/2 b))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ 1 (exp a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
1 |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(* -1 (/ b (+ 1 (exp a)))) |
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a))))) |
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a))))) |
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a))))) |
(* -1 (/ b (+ 1 (exp a)))) |
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b)))) |
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b)))) |
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b)))) |
(+ 1 (* -1/2 b)) |
(+ 1 (+ (* -1/2 b) (* 1/4 (* a b)))) |
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b))))))) |
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))))))))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
2 |
(+ 2 a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
| Outputs |
|---|
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b))))))) |
(+.f64 (exp.f64 b) (fma.f64 a (neg.f64 (exp.f64 b)) #s(literal 1 binary64))) |
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2))))))) |
(+.f64 (exp.f64 b) (fma.f64 a (fma.f64 a (fma.f64 (exp.f64 b) #s(literal 1/2 binary64) #s(literal 0 binary64)) (neg.f64 (exp.f64 b))) #s(literal 1 binary64))) |
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2))))))) |
(fma.f64 a (fma.f64 a (+.f64 (fma.f64 a #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (neg.f64 (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (* -1 a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (* -1 a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (* -1 a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (* -1 a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (neg a)) (+ 1 (exp a))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) |
(+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a)))) |
(fma.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) |
(+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a)))) |
(+.f64 (fma.f64 (exp.f64 (neg.f64 a)) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (exp.f64 (neg.f64 a))) #s(literal 1 binary64)) |
(+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a)))) |
(fma.f64 b (*.f64 (exp.f64 (neg.f64 a)) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 (neg.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 a (fma.f64 a (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (exp.f64 b)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (neg.f64 (exp.f64 b)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (exp.f64 b)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (fma.f64 (exp.f64 b) #s(literal 1/2 binary64) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (exp.f64 b)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (neg a)) (+ 1 (exp a)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) |
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) |
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) |
(fma.f64 b (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) |
(fma.f64 b (fma.f64 b (fma.f64 b (+.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/6 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (+ a (exp b))) |
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) a)) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (+ b (exp a))) |
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 #s(literal 1 binary64) a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 (neg.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
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(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 b (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 b (fma.f64 b (neg.f64 (fma.f64 b (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 b)) |
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) |
(fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))) |
(fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
2 |
#s(literal 2 binary64) |
(+ 2 b) |
(+.f64 b #s(literal 2 binary64)) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
1 |
#s(literal 1 binary64) |
(+ 1 b) |
(+.f64 #s(literal 1 binary64) b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 (neg.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (fma.f64 a (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 2/3 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
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(/ (exp a) (+ (exp a) (exp b))) |
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(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
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(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
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(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
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1 |
#s(literal 1 binary64) |
(+ 1 b) |
(+.f64 #s(literal 1 binary64) b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
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(exp b) |
(exp.f64 b) |
(exp b) |
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(exp b) |
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(exp b) |
(exp.f64 b) |
(exp b) |
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(exp b) |
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(exp b) |
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(/ 1 (+ 1 (exp b))) |
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(/ (exp a) (+ (exp a) (exp b))) |
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(/ (exp a) (+ (exp a) (exp b))) |
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(/ (exp a) (+ (exp a) (exp b))) |
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(/ (exp a) (+ (exp a) (exp b))) |
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(/ (exp a) (+ 1 (exp a))) |
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(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
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(/ (exp a) (+ (exp a) (exp b))) |
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(/ (exp a) (+ (exp a) (exp b))) |
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(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 #s(literal 1 binary64) a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 #s(literal 1 binary64) a) |
(+ 1 a) |
(+.f64 #s(literal 1 binary64) a) |
(+ 1 a) |
(+.f64 #s(literal 1 binary64) a) |
a |
(* a (+ 1 (/ 1 a))) |
(+.f64 #s(literal 1 binary64) a) |
(* a (+ 1 (/ 1 a))) |
(+.f64 #s(literal 1 binary64) a) |
(* a (+ 1 (/ 1 a))) |
(+.f64 #s(literal 1 binary64) a) |
a |
(* a (+ 1 (/ 1 a))) |
(+.f64 #s(literal 1 binary64) a) |
(* a (+ 1 (/ 1 a))) |
(+.f64 #s(literal 1 binary64) a) |
(* a (+ 1 (/ 1 a))) |
(+.f64 #s(literal 1 binary64) a) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 a)) |
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) |
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))) |
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(/ (exp a) (+ 1 (exp a))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
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(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
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(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
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(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
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(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
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(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) |
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
(/.f64 (neg.f64 b) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) |
(* 1/2 (+ 1 (* -1/2 b))) |
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 (neg.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (fma.f64 a (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 2/3 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 b (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 b (fma.f64 b (neg.f64 (fma.f64 b (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(* -1 (/ b (+ 1 (exp a)))) |
(/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a))))) |
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a))))) |
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a))))) |
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(* -1 (/ b (+ 1 (exp a)))) |
(/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b)))) |
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b)))) |
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b)))) |
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ 1 (* -1/2 b)) |
(fma.f64 b #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 b) (* 1/4 (* a b)))) |
(fma.f64 b (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b))))))) |
(fma.f64 b (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))))))))) |
(fma.f64 a (fma.f64 a (*.f64 (*.f64 b a) #s(literal -1/48 binary64)) (*.f64 b #s(literal 1/4 binary64))) (fma.f64 b #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
2 |
#s(literal 2 binary64) |
(+ 2 a) |
(+.f64 a #s(literal 2 binary64)) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
| 4 572× | lower-/.f32 |
| 4 560× | lower-/.f64 |
| 3 454× | lower-*.f32 |
| 3 450× | lower-*.f64 |
| 3 270× | lower-fma.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 156 |
| 0 | 51 | 156 |
| 1 | 182 | 152 |
| 2 | 1315 | 151 |
| 0 | 8586 | 151 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp.f64 a) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(exp.f64 b) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp b) #s(literal 1 binary64)) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 (exp.f64 a) (exp.f64 b))) |
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) |
(+.f64 #s(literal 1 binary64) a) |
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b (neg.f64 a)))) |
(+.f64 (exp.f64 (+.f64 (neg.f64 a) b)) #s(literal 1 binary64)) |
(+.f64 (exp.f64 (+.f64 b (neg.f64 a))) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)) (/.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 a))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (neg.f64 (exp.f64 a)))) |
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 (+.f64 b b)) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(fma.f64 (exp.f64 b) (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) |
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) |
(/.f64 (exp.f64 (neg.f64 a)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (exp.f64 a)) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (exp.f64 (neg.f64 a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (neg.f64 a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))) |
(/.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (neg.f64 (exp.f64 a))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (*.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (exp.f64 a))) |
(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (*.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))) |
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) |
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (*.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))))) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (exp.f64 a)))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))) |
(/.f64 (neg.f64 (exp.f64 (neg.f64 a))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))) |
(/.f64 (*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (-.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (exp.f64 (neg.f64 a))) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (neg.f64 a))) (-.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (neg.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))) |
(/.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (exp.f64 (neg.f64 a)))) (neg.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (neg.f64 a)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (+.f64 (neg.f64 a) b)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 (+.f64 (neg.f64 a) b)) (exp.f64 (+.f64 (neg.f64 a) b))) (*.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 a) b)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (+.f64 (neg.f64 a) b)) (exp.f64 (+.f64 (neg.f64 a) b)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 (neg.f64 a) b)) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (+.f64 b (neg.f64 a))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 (+.f64 b (neg.f64 a))) (exp.f64 (+.f64 b (neg.f64 a)))) (*.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b (neg.f64 a))))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 b (neg.f64 a))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (+.f64 b (neg.f64 a))) (exp.f64 (+.f64 b (neg.f64 a))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 b (neg.f64 a))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 (neg.f64 a) b)) (exp.f64 (+.f64 (neg.f64 a) b)))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (neg.f64 a) b)) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal 1 binary64)) (expm1.f64 (+.f64 (neg.f64 a) b))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 b (neg.f64 a))) (exp.f64 (+.f64 b (neg.f64 a))))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b (neg.f64 a))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 b (neg.f64 a))) (exp.f64 (+.f64 b (neg.f64 a)))) #s(literal 1 binary64)) (expm1.f64 (+.f64 b (neg.f64 a)))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) |
(*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) |
(*.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 a)))) |
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (exp.f64 a)))) |
(*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))) |
(*.f64 (*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))) |
(*.f64 (*.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (exp.f64 (neg.f64 a))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (exp.f64 (neg.f64 a))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (neg.f64 a))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (neg.f64 a))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))) (exp.f64 a))) |
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))) |
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (exp.f64 a)) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (/.f64 (exp.f64 (neg.f64 a)) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) (/.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) |
(/.f64 (neg.f64 (exp.f64 a)) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (exp.f64 (neg.f64 a)))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))) (neg.f64 (neg.f64 (exp.f64 (neg.f64 a))))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal -1 binary64)) |
(*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) |
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)) |
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(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1/2 binary64))) |
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(*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (-.f64 (exp.f64 a) (exp.f64 b))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(*.f64 (/.f64 (exp.f64 a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal 1 binary64)) (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (exp.f64 (neg.f64 a)))) |
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(+.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) |
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))) |
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(-.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a)))) |
(fma.f64 (exp.f64 a) #s(literal 1 binary64) (exp.f64 b)) |
(fma.f64 (exp.f64 b) #s(literal 1 binary64) (exp.f64 a)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 a) (exp.f64 b)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 b) (exp.f64 a)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)) (exp.f64 b)) |
(fma.f64 (exp.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(fma.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1/2 binary64)) (exp.f64 b)) |
(neg.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) |
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))) |
(/.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) #s(literal -1 binary64)) |
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(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))) |
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b))) |
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(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))) (neg.f64 (-.f64 (exp.f64 b) (exp.f64 a)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (fma.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b)))) (*.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))) (+.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) |
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) |
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(*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))) |
(*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))))) |
(*.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) |
(*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a)))) |
(exp.f64 a) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 a))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (neg.f64 a) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (neg.f64 a))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 a))) |
(neg.f64 (neg.f64 (exp.f64 a))) |
(/.f64 (exp.f64 a) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 a)))) |
(/.f64 (neg.f64 (exp.f64 a)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 a) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 a)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) a) |
(*.f64 (exp.f64 a) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 a)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a))) |
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (/.f64 (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b))) |
(/.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) |
(/.f64 (neg.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))) |
(pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (+.f64 (exp.f64 b) #s(literal 1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 b))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))) |
(*.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))) |
(*.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (-.f64 #s(literal 1 binary64) (exp.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64))) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (exp.f64 (+.f64 b b)) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (expm1.f64 b))) |
(fma.f64 (exp.f64 b) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 b) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 b) (expm1.f64 (+.f64 b b)))) |
(/.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b))))) |
(/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 b)) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) (-.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b)) |
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(fma.f64 #s(literal -1 binary64) (/.f64 (exp.f64 a) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
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(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) |
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) |
(fma.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) |
(fma.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) |
(fma.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) |
(fma.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) |
(fma.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) |
(fma.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (exp.f64 a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) |
(fma.f64 (/.f64 (exp.f64 a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) |
(fma.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (fma.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b) #s(literal -3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1 binary64))) (*.f64 (exp.f64 a) (fma.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) (fma.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1 binary64))) (fma.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) (fma.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) (*.f64 (neg.f64 (exp.f64 a)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b) #s(literal -3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1 binary64))) (*.f64 (neg.f64 (exp.f64 a)) (fma.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))) (exp.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))) (neg.f64 (exp.f64 a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal -1 binary64)) (exp.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1 binary64)) (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)))) (fma.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (*.f64 (fma.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 (exp.f64 a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b) #s(literal -3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1 binary64)) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (fma.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (neg.f64 (exp.f64 a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) (*.f64 (neg.f64 (exp.f64 a)) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) |
(/.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) |
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (exp.f64 a))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) |
(*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a)))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) |
(*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) |
Compiled 26 258 to 2 462 computations (90.6% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 294 | 11 | 1 305 |
| Fresh | 1 | 0 | 1 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 299 | 12 | 1 311 |
| Status | Accuracy | Program |
|---|---|---|
| 62.8% | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) | |
| ▶ | 100.0% | (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) |
| 65.0% | (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) | |
| ✓ | 85.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
| 59.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) | |
| ▶ | 54.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
| 41.5% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) | |
| 42.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #s(approx (/ (exp a) (+ 1 (exp a))) (fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))) | |
| 41.4% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) | |
| ▶ | 43.5% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
| ▶ | 42.5% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
| ▶ | 42.3% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
Compiled 335 to 210 computations (37.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 320 | (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64)) | |
| cost-diff | 320 | (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) | |
| cost-diff | 384 | (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) | |
| cost-diff | 448 | (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) | |
| cost-diff | 0 | (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) | |
| cost-diff | 0 | (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) | |
| cost-diff | 0 | #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (exp.f64 (-.f64 b a)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) | |
| cost-diff | 0 | #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) |
| 17 170× | lower-fma.f32 |
| 17 148× | lower-fma.f64 |
| 4 392× | lower-+.f32 |
| 4 388× | lower-+.f64 |
| 3 122× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 529 |
| 0 | 92 | 518 |
| 1 | 181 | 504 |
| 2 | 433 | 463 |
| 3 | 1344 | 426 |
| 4 | 4762 | 422 |
| 0 | 8262 | 407 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) |
#s(literal 1 binary64) |
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(exp.f64 (-.f64 b a)) |
(-.f64 b a) |
b |
a |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
a |
#s(literal 1/4 binary64) |
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
b |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
b |
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
a |
(fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) |
(fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) |
#s(literal 1/2 binary64) |
(fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) |
b |
#s(literal -7/48 binary64) |
(+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64))) |
#s(literal 1/6 binary64) |
(*.f64 b #s(literal 1/6 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64)) |
#s(literal -1/2 binary64) |
(-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) |
#s(literal 0 binary64) |
(*.f64 b #s(literal -1/16 binary64)) |
#s(literal -1/16 binary64) |
(fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64)) |
#s(literal -1/48 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/4 binary64) |
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/4 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) |
#s(literal 1 binary64) |
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(exp.f64 (-.f64 b a)) |
(-.f64 b a) |
b |
a |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
a |
#s(literal 1/4 binary64) |
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
b |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
b |
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (+.f64 #s(literal -1/16 binary64) (fma.f64 b #s(literal -1/96 binary64) (fma.f64 b #s(literal 1/96 binary64) #s(literal 1/24 binary64)))) (*.f64 b #s(literal 1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (+.f64 #s(literal -1/16 binary64) (fma.f64 b #s(literal -1/96 binary64) (fma.f64 b #s(literal 1/96 binary64) #s(literal 1/24 binary64)))) (*.f64 b #s(literal 1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(fma.f64 a (fma.f64 a (fma.f64 a (+.f64 #s(literal -1/16 binary64) (fma.f64 b #s(literal -1/96 binary64) (fma.f64 b #s(literal 1/96 binary64) #s(literal 1/24 binary64)))) (*.f64 b #s(literal 1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
a |
(fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) |
(fma.f64 a (fma.f64 a (+.f64 #s(literal -1/16 binary64) (fma.f64 b #s(literal -1/96 binary64) (fma.f64 b #s(literal 1/96 binary64) #s(literal 1/24 binary64)))) (*.f64 b #s(literal 1/16 binary64))) #s(literal 1/4 binary64)) |
(fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) |
(fma.f64 a (+.f64 #s(literal -1/16 binary64) (fma.f64 b #s(literal -1/96 binary64) (fma.f64 b #s(literal 1/96 binary64) #s(literal 1/24 binary64)))) (*.f64 b #s(literal 1/16 binary64))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) |
(+.f64 #s(literal -1/16 binary64) (fma.f64 b #s(literal -1/96 binary64) (fma.f64 b #s(literal 1/96 binary64) #s(literal 1/24 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) |
(-.f64 #s(literal -1/16 binary64) (+.f64 #s(literal -1/12 binary64) (*.f64 b #s(literal 1/48 binary64)))) |
#s(literal 1/2 binary64) |
(fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) |
(fma.f64 b #s(literal 1/48 binary64) #s(literal 1/6 binary64)) |
b |
#s(literal -7/48 binary64) |
(+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64))) |
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 b #s(literal 1/6 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64)) |
(fma.f64 b #s(literal -1/32 binary64) #s(literal -1/16 binary64)) |
#s(literal -1/2 binary64) |
(-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) |
(*.f64 b #s(literal 1/16 binary64)) |
#s(literal 0 binary64) |
(*.f64 b #s(literal -1/16 binary64)) |
#s(literal -1/16 binary64) |
(fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64)) |
#s(literal -1/48 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/4 binary64) |
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/4 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.8574600586106521 | (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) | |
| accuracy | 12.61135130407011 | #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) | |
| accuracy | 23.69152569385297 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) | |
| accuracy | 27.21828769475709 | (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) | |
| accuracy | 0 | (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.01171875 | (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) | |
| accuracy | 9.45894804338802 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) | |
| accuracy | 20.201835373708168 | #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| accuracy | 0 | (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) | |
| accuracy | 12.879234732266536 | #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) | |
| accuracy | 23.69152569385297 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) | |
| accuracy | 9.45894804338802 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) | |
| accuracy | 26.918352041578057 | #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)) | |
| accuracy | 0 | (exp.f64 (-.f64 b a)) | |
| accuracy | 0 | #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) | |
| accuracy | 0.01171875 | (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) | |
| accuracy | 0.02734375 | (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) |
| 98.0ms | 109× | 1 | valid |
| 59.0ms | 144× | 0 | valid |
| 2.0ms | 1× | 5 | exit |
| 1.0ms | 2× | 1 | exit |
Compiled 381 to 63 computations (83.5% saved)
ival-mult: 31.0ms (24.4% of total)ival-add: 27.0ms (21.2% of total)const: 24.0ms (18.9% of total)adjust: 15.0ms (11.8% of total)ival-exp: 11.0ms (8.6% of total)ival-div: 11.0ms (8.6% of total)ival-sub: 6.0ms (4.7% of total)exact: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #<representation binary64>) () ()) |
#s(alt (exp.f64 (-.f64 b a)) (patch (exp.f64 (-.f64 b a)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)) (patch #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (patch (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (patch (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (patch (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (patch (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (+ 1 (exp b))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ 1 (exp a)))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp b)) (taylor 0 a) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b))))))) (taylor 0 a) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2))))))) (taylor 0 a) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2))))))) (taylor 0 a) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor inf a) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor inf a) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor inf a) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor inf a) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (* -1 a)) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (* -1 a)) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (* -1 a)) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (* -1 a)) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg a)) (+ 1 (exp a))) (taylor 0 b) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a)))) (taylor 0 b) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a)))) (taylor 0 b) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a)))) (taylor 0 b) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor inf b) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) (taylor inf a) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) (taylor inf a) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) (taylor inf a) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) (taylor -inf a) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) (taylor -inf a) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) (taylor -inf a) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) (taylor -inf a) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | b | @ | inf | (+ 1 (exp (- b a))) |
| 2.0ms | b | @ | 0 | (/ (exp a) (+ (exp a) (exp b))) |
| 1.0ms | b | @ | inf | (- (+ (* 1/2 (+ (* b -7/48) (+ 1/6 (* b 1/6)))) (+ (* -1/2 (- 0 (* b -1/16))) -1/16)) (+ (* b -1/48) 1/24)) |
| 1.0ms | b | @ | 0 | (- (+ (* 1/2 (+ (* b -7/48) (+ 1/6 (* b 1/6)))) (+ (* -1/2 (- 0 (* b -1/16))) -1/16)) (+ (* b -1/48) 1/24)) |
| 1.0ms | b | @ | 0 | (+ (* 1/2 (+ (* b -7/48) (+ 1/6 (* b 1/6)))) (+ (* -1/2 (- 0 (* b -1/16))) -1/16)) |
| 1× | egg-herbie |
| 10 790× | lower-fma.f64 |
| 10 790× | lower-fma.f32 |
| 4 916× | lower-+.f64 |
| 4 916× | lower-+.f32 |
| 4 690× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 381 | 5788 |
| 1 | 1156 | 5005 |
| 2 | 3580 | 4793 |
| 0 | 8266 | 4543 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ 1 (exp a)))) |
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) |
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) |
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(+ 1 (exp b)) |
(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b))))))) |
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2))))))) |
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2))))))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (* -1 a)) (+ (exp a) (exp b))) |
(* (exp (* -1 a)) (+ (exp a) (exp b))) |
(* (exp (* -1 a)) (+ (exp a) (exp b))) |
(* (exp (* -1 a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ 1 (exp a))) |
(+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a)))) |
(+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a)))) |
(+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a)))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(+ 1 (exp (neg a))) |
(+ 1 (+ (exp (neg a)) (* b (exp (neg a))))) |
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))))) |
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))))) |
(+ 1 (exp (- b a))) |
(+ 1 (exp (- b a))) |
(+ 1 (exp (- b a))) |
(+ 1 (exp (- b a))) |
(+ 1 (exp (neg (+ a (* -1 b))))) |
(+ 1 (exp (neg (+ a (* -1 b))))) |
(+ 1 (exp (neg (+ a (* -1 b))))) |
(+ 1 (exp (neg (+ a (* -1 b))))) |
(+ 1 (exp b)) |
(+ 1 (+ (exp b) (* -1 (* a (exp b))))) |
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b))))))) |
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b)))))))) |
(+ 1 (exp (- b a))) |
(+ 1 (exp (- b a))) |
(+ 1 (exp (- b a))) |
(+ 1 (exp (- b a))) |
(+ 1 (exp (+ b (* -1 a)))) |
(+ 1 (exp (+ b (* -1 a)))) |
(+ 1 (exp (+ b (* -1 a)))) |
(+ 1 (exp (+ b (* -1 a)))) |
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1/2 |
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1/2 |
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1/2 |
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2 |
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2 |
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1/48 |
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1/6 |
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1 |
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(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
| Outputs |
|---|
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (exp.f64 b)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (exp.f64 b)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (/.f64 (neg.f64 (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 b) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (exp.f64 b)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (neg a)) (+ 1 (exp a)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) |
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) |
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) |
(fma.f64 b (fma.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) |
(fma.f64 b (fma.f64 b (fma.f64 b (-.f64 (+.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b))))))) |
(fma.f64 (+.f64 (neg.f64 a) #s(literal 1 binary64)) (exp.f64 b) #s(literal 1 binary64)) |
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2))))))) |
(fma.f64 a (fma.f64 a (+.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 b) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2))))))) |
(+.f64 (exp.f64 b) (fma.f64 a (fma.f64 a (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (exp.f64 b) (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (exp.f64 b))) #s(literal 1 binary64))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (* -1 a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (* -1 a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (* -1 a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (* -1 a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (neg a)) (+ 1 (exp a))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) |
(+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a)))) |
(fma.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) |
(+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a)))) |
(fma.f64 (exp.f64 (neg.f64 a)) (+.f64 (+.f64 #s(literal 1 binary64) b) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (exp.f64 (neg.f64 a)) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a)))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(+ 1 (exp (neg a))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) |
(+ 1 (+ (exp (neg a)) (* b (exp (neg a))))) |
(fma.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) |
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))))) |
(fma.f64 (exp.f64 (neg.f64 a)) (+.f64 (+.f64 #s(literal 1 binary64) b) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (exp.f64 (neg.f64 a)) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a)))) |
(+ 1 (exp (- b a))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(+ 1 (exp (- b a))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(+ 1 (exp (- b a))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(+ 1 (exp (- b a))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(+ 1 (exp (neg (+ a (* -1 b))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(+ 1 (exp (neg (+ a (* -1 b))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(+ 1 (exp (neg (+ a (* -1 b))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(+ 1 (exp (neg (+ a (* -1 b))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (+ (exp b) (* -1 (* a (exp b))))) |
(fma.f64 (+.f64 (neg.f64 a) #s(literal 1 binary64)) (exp.f64 b) #s(literal 1 binary64)) |
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b))))))) |
(fma.f64 (exp.f64 b) (+.f64 (+.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b)))))))) |
(+.f64 (fma.f64 (+.f64 (neg.f64 a) #s(literal 1 binary64)) (exp.f64 b) #s(literal 1 binary64)) (*.f64 (*.f64 (exp.f64 b) (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 a a))) |
(+ 1 (exp (- b a))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(+ 1 (exp (- b a))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(+ 1 (exp (- b a))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(+ 1 (exp (- b a))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(+ 1 (exp (+ b (* -1 a)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(+ 1 (exp (+ b (* -1 a)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(+ 1 (exp (+ b (* -1 a)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(+ 1 (exp (+ b (* -1 a)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(exp (neg a)) |
(exp.f64 (neg.f64 a)) |
(+ (exp (neg a)) (* b (exp (neg a)))) |
(*.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) b)) |
(+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a))))))) |
(*.f64 (exp.f64 (neg.f64 a)) (+.f64 (+.f64 #s(literal 1 binary64) b) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))) |
(+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a)))))))) |
(fma.f64 b (*.f64 (exp.f64 (neg.f64 a)) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) |
(exp (- b a)) |
(exp.f64 (-.f64 b a)) |
(exp (- b a)) |
(exp.f64 (-.f64 b a)) |
(exp (- b a)) |
(exp.f64 (-.f64 b a)) |
(exp (- b a)) |
(exp.f64 (-.f64 b a)) |
(exp (neg (+ a (* -1 b)))) |
(exp.f64 (-.f64 b a)) |
(exp (neg (+ a (* -1 b)))) |
(exp.f64 (-.f64 b a)) |
(exp (neg (+ a (* -1 b)))) |
(exp.f64 (-.f64 b a)) |
(exp (neg (+ a (* -1 b)))) |
(exp.f64 (-.f64 b a)) |
(exp b) |
(exp.f64 b) |
(+ (exp b) (* -1 (* a (exp b)))) |
(*.f64 (+.f64 (neg.f64 a) #s(literal 1 binary64)) (exp.f64 b)) |
(+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b)))))) |
(*.f64 (exp.f64 b) (+.f64 (+.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 a (*.f64 a #s(literal 1/2 binary64))))) |
(+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b))))))) |
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1/2 |
#s(literal 1/2 binary64) |
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(/ (exp a) (+ (exp a) (exp b))) |
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(/ (exp a) (+ (exp a) (exp b))) |
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(/ (exp a) (+ 1 (exp a))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) |
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#s(literal 1/6 binary64) |
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(fma.f64 b (fma.f64 b (neg.f64 (fma.f64 b (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) |
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
(/.f64 b (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) |
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
(/.f64 b (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) |
(* 1/2 (+ 1 (* -1/2 b))) |
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(fma.f64 a (+.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -1/8 binary64) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 a (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 b #s(literal 1/16 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 a (fma.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 b #s(literal 1/16 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -1/8 binary64) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))))) (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 b #s(literal 1/16 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal -1/16 binary64) #s(literal 1/4 binary64))))) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
| 4 050× | lower-/.f32 |
| 4 046× | lower-/.f64 |
| 3 914× | lower-*.f32 |
| 3 910× | lower-*.f64 |
| 3 806× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 375 |
| 0 | 92 | 371 |
| 1 | 465 | 361 |
| 2 | 4186 | 355 |
| 0 | 9576 | 346 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) |
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) |
(exp.f64 (-.f64 b a)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) |
(fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64)) |
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))))) |
(pow.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))) |
(*.f64 (pow.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))) |
(/.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))) |
(/.f64 (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #s(literal -1 binary64)) |
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(exp.f64 (-.f64 b a)) |
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#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 b #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 b #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64))) (neg.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 b b)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 b #s(literal -7/96 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) b) #s(literal 1/12 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))))) (*.f64 b #s(literal 1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 b #s(literal -7/96 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) b) #s(literal 1/12 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))))) (*.f64 b #s(literal 1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
Compiled 25 399 to 2 129 computations (91.6% saved)
19 alts after pruning (16 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 825 | 10 | 835 |
| Fresh | 0 | 6 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 828 | 19 | 847 |
| Status | Accuracy | Program |
|---|---|---|
| 62.8% | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) | |
| ✓ | 100.0% | (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) |
| ▶ | 65.0% | (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
| ✓ | 85.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
| ▶ | 59.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
| 53.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64))))) | |
| ▶ | 42.5% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))))) |
| 47.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))) | |
| ▶ | 41.5% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
| 38.3% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 (*.f64 b b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b))))) | |
| 16.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))))) | |
| 16.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) | |
| 42.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #s(approx (/ (exp a) (+ 1 (exp a))) (fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))) | |
| 41.4% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) | |
| ✓ | 43.5% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
| 42.5% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a #s(approx (- (+ (* 1/2 (+ (* b -7/48) (+ 1/6 (* b 1/6)))) (+ (* -1/2 (- 0 (* b -1/16))) -1/16)) (+ (* b -1/48) 1/24)) #s(literal -1/48 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) | |
| 44.4% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* b -1/4) 1/2) #s(literal 1/2 binary64))))) | |
| 3.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) | |
| ▶ | 3.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
Compiled 551 to 304 computations (44.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))))) | |
| cost-diff | 128 | (*.f64 b #s(literal 2 binary64)) | |
| cost-diff | 384 | (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64))) | |
| cost-diff | 704 | (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))) | |
| cost-diff | 0 | (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) | |
| cost-diff | 0 | (+.f64 b #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) | |
| cost-diff | 0 | (*.f64 a #s(literal 1/4 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))) | |
| cost-diff | 0 | #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) | |
| cost-diff | 0 | (exp.f64 (neg.f64 a)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) | |
| cost-diff | 0 | #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
| 29 884× | lower-fma.f32 |
| 29 870× | lower-fma.f64 |
| 3 962× | lower-+.f32 |
| 3 958× | lower-+.f64 |
| 3 426× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 575 |
| 0 | 91 | 575 |
| 1 | 165 | 575 |
| 2 | 401 | 486 |
| 3 | 1268 | 484 |
| 4 | 3550 | 481 |
| 5 | 6221 | 481 |
| 0 | 8244 | 460 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
#s(literal 1 binary64) |
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) |
(exp.f64 (neg.f64 a)) |
(neg.f64 a) |
a |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))) |
#s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))) |
(*.f64 a #s(literal 1/4 binary64)) |
a |
#s(literal 1/4 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) |
(+.f64 b #s(literal 2 binary64)) |
b |
#s(literal 2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
b |
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64))))))) |
#s(literal 1 binary64) |
#s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64))))) |
(fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) |
(fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) |
b |
(*.f64 b #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) |
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) |
#s(literal 8 binary64) |
(-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64))) |
(*.f64 b #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
#s(literal 1 binary64) |
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) |
(exp.f64 (neg.f64 a)) |
(neg.f64 a) |
a |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))) |
#s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))) |
(*.f64 a #s(literal 1/4 binary64)) |
a |
#s(literal 1/4 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) |
(+.f64 b #s(literal 2 binary64)) |
b |
#s(literal 2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
b |
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) b) (*.f64 b b)) #s(literal 8 binary64)) (-.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) b) #s(literal 4 binary64)) (+.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) b) (*.f64 b b)) #s(literal 8 binary64)) (-.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) b) #s(literal 4 binary64)) (+.f64 b b))))) |
#s(literal 1 binary64) |
#s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))) |
#s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) b) (*.f64 b b)) #s(literal 8 binary64)) (-.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) b) #s(literal 4 binary64)) (+.f64 b b)))) |
(/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) b) (*.f64 b b)) #s(literal 8 binary64)) (-.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) b) #s(literal 4 binary64)) (+.f64 b b))) |
(fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) |
(fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) b) (*.f64 b b)) #s(literal 8 binary64)) |
(fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) |
b |
(*.f64 b #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) |
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) b) (*.f64 b b)) |
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) |
#s(literal 8 binary64) |
(-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))) |
(-.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) b) #s(literal 4 binary64)) (+.f64 b b)) |
(fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) |
(fma.f64 b b (fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) b) #s(literal 4 binary64))) |
#s(literal 4 binary64) |
(*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64))) |
(*.f64 b (+.f64 b #s(literal 2 binary64))) |
(*.f64 b #s(literal 2 binary64)) |
(+.f64 b b) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 9.45894804338802 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))))) | |
| accuracy | 12.5703125 | (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))) | |
| accuracy | 20.201835373708168 | #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))) | |
| accuracy | 22.144309431367297 | (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64))))) | |
| accuracy | 0.04296875 | (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.12890625 | (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 9.45894804338802 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) | |
| accuracy | 17.26640512322488 | #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| accuracy | 0 | (+.f64 b #s(literal 2 binary64)) | |
| accuracy | 0.01171875 | (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) | |
| accuracy | 9.45894804338802 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) | |
| accuracy | 28.83323805059517 | #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) | |
| accuracy | 0 | (*.f64 a #s(literal 1/4 binary64)) | |
| accuracy | 13.371322844069052 | #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))) | |
| accuracy | 23.69152569385297 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) | |
| accuracy | 51.25748946827167 | #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))) | |
| accuracy | 0 | (exp.f64 (neg.f64 a)) | |
| accuracy | 0.01171875 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) | |
| accuracy | 0.02734375 | (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) | |
| accuracy | 22.38151430785726 | #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) |
| 113.0ms | 256× | 0 | valid |
Compiled 343 to 55 computations (84% saved)
ival-add: 42.0ms (47.1% of total)ival-mult: 21.0ms (23.6% of total)ival-div: 11.0ms (12.3% of total)ival-exp: 6.0ms (6.7% of total)const: 4.0ms (4.5% of total)ival-sub: 2.0ms (2.2% of total)exact: 1.0ms (1.1% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ()) |
#s(alt (exp.f64 (neg.f64 a)) (patch (exp.f64 (neg.f64 a)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))) (patch #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 a #s(literal 1/4 binary64)) (patch (*.f64 a #s(literal 1/4 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 b #s(literal 2 binary64)) (patch (+.f64 b #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))) (patch (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64))) (patch (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 b #s(literal 2 binary64)) (patch (*.f64 b #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64))))) (patch (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))) (patch #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (+ 1 (exp b))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ 1 (exp a)))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp b)) (taylor 0 a) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b))))))) (taylor 0 a) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2))))))) (taylor 0 a) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2))))))) (taylor 0 a) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor inf a) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor inf a) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor inf a) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor inf a) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (* -1 a)) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (* -1 a)) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (* -1 a)) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (* -1 a)) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg a)) (+ 1 (exp a))) (taylor 0 b) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a)))) (taylor 0 b) (#s(alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) (taylor -inf a) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) (taylor -inf a) (#s(alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))) (patch #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (exp b)) (taylor inf b) (#s(alt #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))) (patch #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp b)) (taylor inf b) (#s(alt #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))) (patch #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp b)) (taylor inf b) (#s(alt #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))) (patch #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp b)) (taylor -inf b) (#s(alt #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))) (patch #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp b)) (taylor -inf b) (#s(alt #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))) (patch #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp b)) (taylor -inf b) (#s(alt #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))) (patch #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp b)) (taylor -inf b) (#s(alt #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))) (patch #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))) #<representation binary64>) () ())) ()) |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | inf | (+ (* b (+ (* b 1/6) 1/2)) 1) |
| 1.0ms | b | @ | -inf | (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2))) |
| 1.0ms | b | @ | -inf | (/ (+ (* (+ (* b (* b 1/2)) b) (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b)))) 8) (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2)))) |
| 0.0ms | b | @ | inf | (/ (+ (* (+ (* b (* b 1/2)) b) (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b)))) 8) (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2)))) |
| 0.0ms | b | @ | 0 | (/ (+ (* (+ (* b (* b 1/2)) b) (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b)))) 8) (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2)))) |
| 1× | egg-herbie |
| 7 992× | lower-fma.f64 |
| 7 992× | lower-fma.f32 |
| 3 952× | lower-*.f64 |
| 3 952× | lower-*.f32 |
| 3 338× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 403 | 5264 |
| 1 | 1239 | 4617 |
| 2 | 3890 | 4401 |
| 3 | 7952 | 4313 |
| 0 | 8208 | 4102 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ 1 (exp a)))) |
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) |
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) |
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(+ 1 (exp b)) |
(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b))))))) |
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2))))))) |
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2))))))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (* -1 a)) (+ (exp a) (exp b))) |
(* (exp (* -1 a)) (+ (exp a) (exp b))) |
(* (exp (* -1 a)) (+ (exp a) (exp b))) |
(* (exp (* -1 a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ 1 (exp a))) |
(+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a)))) |
(+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a)))) |
(+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a)))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
(* (exp (neg a)) (+ (exp a) (exp b))) |
2 |
(+ 2 (* -1 a)) |
(+ 2 (* a (- (* 1/2 a) 1))) |
(+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1))) |
(+ 1 (exp (neg a))) |
(+ 1 (exp (neg a))) |
(+ 1 (exp (neg a))) |
(+ 1 (exp (neg a))) |
(+ 1 (exp (* -1 a))) |
(+ 1 (exp (* -1 a))) |
(+ 1 (exp (* -1 a))) |
(+ 1 (exp (* -1 a))) |
1 |
(+ 1 (* -1 a)) |
(+ 1 (* a (- (* 1/2 a) 1))) |
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1))) |
(exp (neg a)) |
(exp (neg a)) |
(exp (neg a)) |
(exp (neg a)) |
(exp (* -1 a)) |
(exp (* -1 a)) |
(exp (* -1 a)) |
(exp (* -1 a)) |
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ 1 (exp a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ 1 (exp a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(* 1/2 (+ 1 (* -1/2 b))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(+ 1/2 (* -1/4 b)) |
(+ 1/2 (+ (* -1/4 b) (* 1/4 a))) |
(+ 1/2 (+ (* -1/4 b) (* 1/4 a))) |
(+ 1/2 (+ (* -1/4 b) (* 1/4 a))) |
(* 1/4 a) |
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a))))) |
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a))))) |
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a))))) |
(* 1/4 a) |
(* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4))) |
(* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4))) |
(* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4))) |
(+ 1/2 (* 1/4 a)) |
(+ 1/2 (+ (* -1/4 b) (* 1/4 a))) |
(+ 1/2 (+ (* -1/4 b) (* 1/4 a))) |
(+ 1/2 (+ (* -1/4 b) (* 1/4 a))) |
(* -1/4 b) |
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) |
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) |
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) |
(* -1/4 b) |
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b))))) |
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b))))) |
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b))))) |
(* 1/4 a) |
(* 1/4 a) |
(* 1/4 a) |
(* 1/4 a) |
(* 1/4 a) |
(* 1/4 a) |
(* 1/4 a) |
(* 1/4 a) |
(* 1/4 a) |
(* 1/4 a) |
(* 1/4 a) |
(* 1/4 a) |
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ 1 (exp a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
1/2 |
(+ 1/2 (* -1/4 b)) |
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) |
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
2 |
(+ 2 b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
2 |
(+ 2 b) |
(+ 2 b) |
(+ 2 b) |
b |
(* b (+ 1 (* 2 (/ 1 b)))) |
(* b (+ 1 (* 2 (/ 1 b)))) |
(* b (+ 1 (* 2 (/ 1 b)))) |
b |
(* b (+ 1 (* 2 (/ 1 b)))) |
(* b (+ 1 (* 2 (/ 1 b)))) |
(* b (+ 1 (* 2 (/ 1 b)))) |
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ 1 (exp a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
1/2 |
(+ 1/2 (* -1/4 b)) |
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) |
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
2 |
(+ 2 b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
2 |
(+ 2 b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(* 1/6 (pow b 3)) |
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b)))) |
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3))))))) |
(* 1/6 (pow b 3)) |
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b)))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6))) |
4 |
(+ 4 (* -2 b)) |
(+ 4 (* b (- (pow b 2) 2))) |
(+ 4 (* b (- (* (pow b 2) (+ 1 (* 1/4 b))) 2))) |
(* 1/4 (pow b 4)) |
(* (pow b 4) (+ 1/4 (/ 1 b))) |
(* (pow b 4) (- (+ 1/4 (/ 1 b)) (/ 2 (pow b 3)))) |
(* (pow b 4) (- (+ 1/4 (+ (/ 1 b) (* 4 (/ 1 (pow b 4))))) (/ 2 (pow b 3)))) |
(* 1/4 (pow b 4)) |
(* (pow b 4) (+ 1/4 (/ 1 b))) |
(* (pow b 4) (+ 1/4 (* -1 (/ (- (* 2 (/ 1 (pow b 2))) 1) b)))) |
(* (pow b 4) (+ 1/4 (* -1 (/ (- (* 2 (/ 1 (pow b 2))) (+ 1 (/ 4 (pow b 3)))) b)))) |
(* 2 b) |
(* b (+ 2 b)) |
(* b (+ 2 b)) |
(* b (+ 2 b)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 2 (/ 1 b)))) |
(* (pow b 2) (+ 1 (* 2 (/ 1 b)))) |
(* (pow b 2) (+ 1 (* 2 (/ 1 b)))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 2 (/ 1 b)))) |
(* (pow b 2) (+ 1 (* 2 (/ 1 b)))) |
(* (pow b 2) (+ 1 (* 2 (/ 1 b)))) |
(* 2 b) |
(* 2 b) |
(* 2 b) |
(* 2 b) |
(* 2 b) |
(* 2 b) |
(* 2 b) |
(* 2 b) |
(* 2 b) |
(* 2 b) |
(* 2 b) |
(* 2 b) |
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ 1 (exp a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
1/2 |
(+ 1/2 (* 1/6 b)) |
(+ 1/2 (* 1/6 b)) |
(+ 1/2 (* 1/6 b)) |
(* 1/6 b) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(* 1/6 b) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
1 |
(+ 1 (* 1/2 b)) |
(+ 1 (* b (+ 1/2 (* 1/6 b)))) |
(+ 1 (* b (+ 1/2 (* 1/6 b)))) |
(* 1/6 (pow b 2)) |
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b)))) |
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
(* 1/6 (pow b 2)) |
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b)))) |
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
2 |
(+ 2 b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(* 1/2 (pow b 2)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(* 1/2 (pow b 2)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
2 |
(+ 2 b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
| Outputs |
|---|
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) |
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 a (+.f64 (fma.f64 a (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (exp.f64 b)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (neg.f64 (exp.f64 b)) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 (exp.f64 b)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (fma.f64 (fma.f64 (exp.f64 b) #s(literal 1/2 binary64) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (exp.f64 b)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) |
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(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 b)) |
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) |
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))) |
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
2 |
#s(literal 2 binary64) |
(+ 2 b) |
(+.f64 b #s(literal 2 binary64)) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
2 |
#s(literal 2 binary64) |
(+ 2 b) |
(+.f64 b #s(literal 2 binary64)) |
(+ 2 b) |
(+.f64 b #s(literal 2 binary64)) |
(+ 2 b) |
(+.f64 b #s(literal 2 binary64)) |
b |
(* b (+ 1 (* 2 (/ 1 b)))) |
(+.f64 b #s(literal 2 binary64)) |
(* b (+ 1 (* 2 (/ 1 b)))) |
(+.f64 b #s(literal 2 binary64)) |
(* b (+ 1 (* 2 (/ 1 b)))) |
(+.f64 b #s(literal 2 binary64)) |
b |
(* b (+ 1 (* 2 (/ 1 b)))) |
(+.f64 b #s(literal 2 binary64)) |
(* b (+ 1 (* 2 (/ 1 b)))) |
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(* b (+ 1 (* 2 (/ 1 b)))) |
(+.f64 b #s(literal 2 binary64)) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) |
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(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
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(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
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(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 b)) |
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) |
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))) |
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
2 |
#s(literal 2 binary64) |
(+ 2 b) |
(+.f64 b #s(literal 2 binary64)) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
2 |
#s(literal 2 binary64) |
(+ 2 b) |
(+.f64 b #s(literal 2 binary64)) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(* 1/6 (pow b 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b))) |
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b)))) |
(*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
(fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b) |
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3))))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal 2 binary64)) (*.f64 b (*.f64 b b))))) |
(* 1/6 (pow b 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b))) |
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b)))) |
(*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6))) |
(*.f64 (*.f64 b (*.f64 b b)) (neg.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6))) |
(neg.f64 (*.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal -2 binary64) (*.f64 b b))) b)))) |
4 |
#s(literal 4 binary64) |
(+ 4 (* -2 b)) |
(fma.f64 b #s(literal -2 binary64) #s(literal 4 binary64)) |
(+ 4 (* b (- (pow b 2) 2))) |
(fma.f64 b (fma.f64 b b #s(literal -2 binary64)) #s(literal 4 binary64)) |
(+ 4 (* b (- (* (pow b 2) (+ 1 (* 1/4 b))) 2))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) b) #s(literal -2 binary64)) #s(literal 4 binary64)) |
(* 1/4 (pow b 4)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) |
(* (pow b 4) (+ 1/4 (/ 1 b))) |
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) b))) |
(* (pow b 4) (- (+ 1/4 (/ 1 b)) (/ 2 (pow b 3)))) |
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -2 binary64) (*.f64 b (*.f64 b b)))))) |
(* (pow b 4) (- (+ 1/4 (+ (/ 1 b) (* 4 (/ 1 (pow b 4))))) (/ 2 (pow b 3)))) |
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -2 binary64) (*.f64 b (*.f64 b b))))))) |
(* 1/4 (pow b 4)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) |
(* (pow b 4) (+ 1/4 (/ 1 b))) |
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) b))) |
(* (pow b 4) (+ 1/4 (* -1 (/ (- (* 2 (/ 1 (pow b 2))) 1) b)))) |
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 b b))) b))) |
(* (pow b 4) (+ 1/4 (* -1 (/ (- (* 2 (/ 1 (pow b 2))) (+ 1 (/ 4 (pow b 3)))) b)))) |
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b))))) b))) |
(* 2 b) |
(*.f64 b #s(literal 2 binary64)) |
(* b (+ 2 b)) |
(*.f64 b (+.f64 b #s(literal 2 binary64))) |
(* b (+ 2 b)) |
(*.f64 b (+.f64 b #s(literal 2 binary64))) |
(* b (+ 2 b)) |
(*.f64 b (+.f64 b #s(literal 2 binary64))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* 2 (/ 1 b)))) |
(*.f64 b (+.f64 b #s(literal 2 binary64))) |
(* (pow b 2) (+ 1 (* 2 (/ 1 b)))) |
(*.f64 b (+.f64 b #s(literal 2 binary64))) |
(* (pow b 2) (+ 1 (* 2 (/ 1 b)))) |
(*.f64 b (+.f64 b #s(literal 2 binary64))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* 2 (/ 1 b)))) |
(*.f64 b (+.f64 b #s(literal 2 binary64))) |
(* (pow b 2) (+ 1 (* 2 (/ 1 b)))) |
(*.f64 b (+.f64 b #s(literal 2 binary64))) |
(* (pow b 2) (+ 1 (* 2 (/ 1 b)))) |
(*.f64 b (+.f64 b #s(literal 2 binary64))) |
(* 2 b) |
(*.f64 b #s(literal 2 binary64)) |
(* 2 b) |
(*.f64 b #s(literal 2 binary64)) |
(* 2 b) |
(*.f64 b #s(literal 2 binary64)) |
(* 2 b) |
(*.f64 b #s(literal 2 binary64)) |
(* 2 b) |
(*.f64 b #s(literal 2 binary64)) |
(* 2 b) |
(*.f64 b #s(literal 2 binary64)) |
(* 2 b) |
(*.f64 b #s(literal 2 binary64)) |
(* 2 b) |
(*.f64 b #s(literal 2 binary64)) |
(* 2 b) |
(*.f64 b #s(literal 2 binary64)) |
(* 2 b) |
(*.f64 b #s(literal 2 binary64)) |
(* 2 b) |
(*.f64 b #s(literal 2 binary64)) |
(* 2 b) |
(*.f64 b #s(literal 2 binary64)) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (fma.f64 a (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 b (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (neg.f64 b) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 b (fma.f64 b (neg.f64 (fma.f64 b (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 b)) |
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 b)) |
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 b)) |
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 b) |
(*.f64 b #s(literal 1/6 binary64)) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 b) |
(*.f64 b #s(literal 1/6 binary64)) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 b)) |
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* b (+ 1/2 (* 1/6 b)))) |
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* b (+ 1/2 (* 1/6 b)))) |
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 1/6 binary64))) |
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b)))) |
(*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 1/6 binary64))) |
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b)))) |
(*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 b) |
(+.f64 b #s(literal 2 binary64)) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(* 1/2 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 1/2 binary64))) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(* 1/2 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 1/2 binary64))) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 b) |
(+.f64 b #s(literal 2 binary64)) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
| 5 292× | lower-*.f32 |
| 5 280× | lower-*.f64 |
| 4 274× | lower-fma.f32 |
| 4 260× | lower-fma.f64 |
| 3 024× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 434 |
| 0 | 91 | 418 |
| 1 | 400 | 401 |
| 2 | 3307 | 381 |
| 0 | 8279 | 371 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) |
(exp.f64 (neg.f64 a)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))) |
#s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))) |
(*.f64 a #s(literal 1/4 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) |
#s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) |
(+.f64 b #s(literal 2 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))) |
(*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64))) |
(*.f64 b #s(literal 2 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))))) |
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64))))) |
#s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) |
(pow.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
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(/.f64 (neg.f64 #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 8 binary64)) (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal -2 binary64) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 4 binary64)))))) #s(literal -1 binary64)) |
#s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 8 binary64)) (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal -2 binary64) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 4 binary64))))) |
(pow.f64 #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 8 binary64)) (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal -2 binary64) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 8 binary64)) (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal -2 binary64) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 4 binary64)))))) #s(literal -1 binary64)) |
(*.f64 #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 8 binary64)) (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal -2 binary64) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 4 binary64))))) #s(literal 1 binary64)) |
Compiled 26 358 to 1 625 computations (93.8% saved)
23 alts after pruning (17 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 721 | 9 | 730 |
| Fresh | 3 | 8 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 726 | 23 | 749 |
| Status | Accuracy | Program |
|---|---|---|
| 62.8% | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) | |
| ✓ | 100.0% | (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) |
| ✓ | 65.0% | (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
| 59.2% | (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) | |
| 56.5% | (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) | |
| 44.8% | (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) | |
| ✓ | 85.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
| 58.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (*.f64 b #s(literal 1/6 binary64)))) #s(literal 2 binary64))))) | |
| 13.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) #s(approx (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))))))) | |
| 62.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) #s(approx (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2))) #s(literal 4 binary64)))))) | |
| 47.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))) | |
| ✓ | 41.5% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
| 16.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b (* b 1/2)) b) (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b)))) 8) (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2)))) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) | |
| 21.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))))) | |
| 21.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b))))))) | |
| 38.3% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 (*.f64 b b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b))))) | |
| 42.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #s(approx (/ (exp a) (+ 1 (exp a))) (fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))) | |
| 41.4% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) | |
| ✓ | 43.5% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
| 42.5% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a #s(approx (- (+ (* 1/2 (+ (* b -7/48) (+ 1/6 (* b 1/6)))) (+ (* -1/2 (- 0 (* b -1/16))) -1/16)) (+ (* b -1/48) 1/24)) #s(literal -1/48 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) | |
| 44.4% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* b -1/4) 1/2) #s(literal 1/2 binary64))))) | |
| 3.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) | |
| ✓ | 3.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
Compiled 884 to 344 computations (61.1% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* b -1/4) 1/2) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b (* b 1/2)) b) (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b)))) 8) (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2)))) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (*.f64 b #s(literal 1/6 binary64)))) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a #s(approx (- (+ (* 1/2 (+ (* b -7/48) (+ 1/6 (* b 1/6)))) (+ (* -1/2 (- 0 (* b -1/16))) -1/16)) (+ (* b -1/48) 1/24)) #s(literal -1/48 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 (*.f64 b b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) #s(approx (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2))) #s(literal 4 binary64)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) #s(approx (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #s(approx (/ (exp a) (+ 1 (exp a))) (fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) |
5 calls:
| 28.0ms | a |
| 25.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 11.0ms | b |
| 10.0ms | (exp.f64 b) |
| 8.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | a |
| 100.0% | 1 | b |
| 100.0% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 100.0% | 1 | (exp.f64 a) |
| 100.0% | 1 | (exp.f64 b) |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* b -1/4) 1/2) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b (* b 1/2)) b) (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b)))) 8) (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2)))) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (*.f64 b #s(literal 1/6 binary64)))) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a #s(approx (- (+ (* 1/2 (+ (* b -7/48) (+ 1/6 (* b 1/6)))) (+ (* -1/2 (- 0 (* b -1/16))) -1/16)) (+ (* b -1/48) 1/24)) #s(literal -1/48 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 (*.f64 b b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) #s(approx (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2))) #s(literal 4 binary64)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) #s(approx (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
5 calls:
| 11.0ms | a |
| 8.0ms | b |
| 8.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 7.0ms | (exp.f64 b) |
| 7.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 2 | a |
| 99.2% | 3 | b |
| 85.2% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 98.3% | 2 | (exp.f64 a) |
| 98.6% | 3 | (exp.f64 b) |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* b -1/4) 1/2) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b (* b 1/2)) b) (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b)))) 8) (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2)))) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (*.f64 b #s(literal 1/6 binary64)))) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a #s(approx (- (+ (* 1/2 (+ (* b -7/48) (+ 1/6 (* b 1/6)))) (+ (* -1/2 (- 0 (* b -1/16))) -1/16)) (+ (* b -1/48) 1/24)) #s(literal -1/48 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 (*.f64 b b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) #s(approx (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2))) #s(literal 4 binary64)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) #s(approx (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
2 calls:
| 9.0ms | a |
| 8.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 2 | a |
| 97.7% | 2 | (exp.f64 a) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* b -1/4) 1/2) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b (* b 1/2)) b) (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b)))) 8) (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2)))) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (*.f64 b #s(literal 1/6 binary64)))) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a #s(approx (- (+ (* 1/2 (+ (* b -7/48) (+ 1/6 (* b 1/6)))) (+ (* -1/2 (- 0 (* b -1/16))) -1/16)) (+ (* b -1/48) 1/24)) #s(literal -1/48 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 (*.f64 b b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) #s(approx (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2))) #s(literal 4 binary64)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) #s(approx (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
4 calls:
| 11.0ms | a |
| 9.0ms | (exp.f64 a) |
| 9.0ms | (exp.f64 b) |
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.7% | 3 | (exp.f64 b) |
| 94.9% | 3 | b |
| 94.3% | 2 | a |
| 93.1% | 2 | (exp.f64 a) |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* b -1/4) 1/2) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b (* b 1/2)) b) (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b)))) 8) (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2)))) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (*.f64 b #s(literal 1/6 binary64)))) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a #s(approx (- (+ (* 1/2 (+ (* b -7/48) (+ 1/6 (* b 1/6)))) (+ (* -1/2 (- 0 (* b -1/16))) -1/16)) (+ (* b -1/48) 1/24)) #s(literal -1/48 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 (*.f64 b b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) #s(approx (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2))) #s(literal 4 binary64)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 b #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) #s(approx (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 2 binary64)))))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) #s(approx (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2))) #s(literal 4 binary64)))))) |
5 calls:
| 10.0ms | b |
| 8.0ms | a |
| 7.0ms | (exp.f64 a) |
| 6.0ms | (exp.f64 b) |
| 6.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.7% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 72.0% | 2 | (exp.f64 a) |
| 75.5% | 2 | (exp.f64 b) |
| 76.6% | 2 | b |
| 72.4% | 2 | a |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* b -1/4) 1/2) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b (* b 1/2)) b) (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b)))) 8) (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2)))) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (*.f64 b #s(literal 1/6 binary64)))) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (fma.f64 a (fma.f64 a #s(approx (- (+ (* 1/2 (+ (* b -7/48) (+ 1/6 (* b 1/6)))) (+ (* -1/2 (- 0 (* b -1/16))) -1/16)) (+ (* b -1/48) 1/24)) #s(literal -1/48 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 (*.f64 b b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
2 calls:
| 8.0ms | b |
| 5.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.4% | 2 | (exp.f64 b) |
| 73.7% | 2 | b |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* b -1/4) 1/2) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b (* b 1/2)) b) (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b)))) 8) (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2)))) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (*.f64 b #s(literal 1/6 binary64)))) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
4 calls:
| 7.0ms | b |
| 6.0ms | a |
| 5.0ms | (exp.f64 a) |
| 5.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.2% | 2 | (exp.f64 a) |
| 68.0% | 2 | a |
| 71.1% | 2 | (exp.f64 b) |
| 71.3% | 2 | b |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* b -1/4) 1/2) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b (* b 1/2)) b) (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b)))) 8) (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2)))) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (*.f64 b #s(literal 1/6 binary64)))) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b))))))) |
1 calls:
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.3% | 2 | b |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* b -1/4) 1/2) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b (* b 1/2)) b) (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b)))) 8) (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2)))) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) |
4 calls:
| 5.0ms | b |
| 5.0ms | a |
| 4.0ms | (exp.f64 a) |
| 4.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.4% | 2 | (exp.f64 a) |
| 64.4% | 2 | a |
| 66.0% | 2 | (exp.f64 b) |
| 67.2% | 2 | b |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* b -1/4) 1/2) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b (* b 1/2)) b) (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b)))) 8) (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2)))) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
5 calls:
| 5.0ms | a |
| 4.0ms | b |
| 4.0ms | (exp.f64 a) |
| 4.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 3.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.6% | 1 | (exp.f64 a) |
| 54.6% | 1 | a |
| 58.5% | 2 | (exp.f64 b) |
| 58.2% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 58.5% | 2 | b |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* b -1/4) 1/2) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b (* b 1/2)) b) (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b)))) 8) (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2)))) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
3 calls:
| 4.0ms | b |
| 4.0ms | (exp.f64 b) |
| 4.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.8% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 57.8% | 2 | (exp.f64 b) |
| 57.8% | 2 | b |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* b -1/4) 1/2) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (/ (+ (* (+ (* b (* b 1/2)) b) (* (+ (* b 1/2) 1) (* b (+ (* b (* b 1/2)) b)))) 8) (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2)))) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))) |
1 calls:
| 4.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.8% | 2 | b |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* b -1/4) 1/2) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) |
5 calls:
| 3.0ms | b |
| 3.0ms | a |
| 3.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 2.0ms | (exp.f64 a) |
| 2.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.8% | 1 | a |
| 44.8% | 1 | (exp.f64 a) |
| 44.8% | 1 | (exp.f64 b) |
| 44.8% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 44.8% | 1 | b |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* b -1/4) 1/2) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* b -1/4) 1/2) #s(literal 1/2 binary64))))) |
5 calls:
| 3.0ms | b |
| 3.0ms | a |
| 3.0ms | (exp.f64 a) |
| 2.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 2.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.4% | 1 | a |
| 44.4% | 1 | b |
| 44.4% | 1 | (exp.f64 b) |
| 44.4% | 1 | (exp.f64 a) |
| 44.4% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 24 to 16 computations (33.3% saved)
Total -26.2b remaining (-72.6%)
Threshold costs -26.2b (-72.6%)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) #s(approx (+ (* a 1/4) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
5 calls:
| 3.0ms | (exp.f64 a) |
| 2.0ms | b |
| 2.0ms | a |
| 2.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.5% | 1 | a |
| 43.5% | 1 | b |
| 43.5% | 1 | (exp.f64 a) |
| 43.5% | 1 | (exp.f64 b) |
| 43.5% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 24 to 16 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9967564022295312 | 0.9999654381189096 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9967564022295312 | 0.9999654381189096 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | -9.906794559091593e+91 | -4.06652853498812e+87 |
| 7.0ms | 128× | 0 | valid |
| 1.0ms | 29× | 0 | exit |
Compiled 229 to 163 computations (28.8% saved)
ival-div: 2.0ms (41.8% of total)ival-exp: 2.0ms (41.8% of total)ival-add: 1.0ms (20.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.4182811655395773e+40 | 1.4338879706955551e+54 |
| 8.0ms | 160× | 0 | valid |
Compiled 493 to 281 computations (43% saved)
ival-exp: 2.0ms (46.3% of total)ival-div: 1.0ms (23.1% of total)ival-add: 1.0ms (23.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 2.94258370692214e+54 | 7.671653275308209e+55 |
| 5.0ms | 112× | 0 | valid |
Compiled 251 to 172 computations (31.5% saved)
ival-exp: 2.0ms (66.6% of total)ival-div: 1.0ms (33.3% of total)ival-add: 1.0ms (33.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 2.94258370692214e+54 | 7.671653275308209e+55 |
Compiled 230 to 158 computations (31.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.94258370692214e+54 | 7.671653275308209e+55 |
Compiled 216 to 144 computations (33.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 2.162760886286543e+138 | 3.477106753386518e+142 |
| 6.0ms | 128× | 0 | valid |
Compiled 229 to 155 computations (32.3% saved)
ival-exp: 2.0ms (56.9% of total)ival-div: 1.0ms (28.4% of total)ival-add: 1.0ms (28.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.8497646660521093e-169 | 7.841758120587209e-168 |
| 6.0ms | 112× | 0 | valid |
Compiled 181 to 123 computations (32% saved)
ival-exp: 3.0ms (74.8% of total)ival-div: 1.0ms (24.9% of total)ival-add: 1.0ms (24.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.03120276258618e+19 | 3.300729323625045e+31 |
| 9.0ms | 160× | 0 | valid |
Compiled 253 to 171 computations (32.4% saved)
ival-exp: 3.0ms (67.1% of total)ival-div: 1.0ms (22.4% of total)ival-add: 1.0ms (22.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.03120276258618e+19 | 3.300729323625045e+31 |
Compiled 243 to 161 computations (33.7% saved)
| 1× | egg-herbie |
| 14× | *-commutative_binary64 |
| 14× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 703 |
| 1 | 167 | 703 |
| 2 | 171 | 703 |
| 3 | 172 | 703 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) |
(if (<=.f64 (exp.f64 a) #s(literal 4494592428115755/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(if (<=.f64 (exp.f64 a) #s(literal 4494592428115755/4503599627370496 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(if (<=.f64 a #s(literal -95999999999999993163972032018403297796624583370034927871361740540413630288938905898619764736 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(if (<=.f64 b #s(literal 142000000000000004603516944108686390442254663680 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) #s(approx (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2))) #s(literal 4 binary64))))))) |
(if (<=.f64 b #s(literal 67999999999999995795918473726267604302275492302746025984 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) |
(if (<=.f64 b #s(literal 67999999999999995795918473726267604302275492302746025984 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) |
(if (<=.f64 b #s(literal 67999999999999995795918473726267604302275492302746025984 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b)))))))) |
(if (<=.f64 b #s(literal 10000000000000000508222848402996879704791089448509839788449208028871961714412352270078388372553960191290960287445781834331294577148468377157632 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))))) |
(if (<=.f64 b #s(literal 7435931899434739/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))) |
(if (<=.f64 b #s(literal 12500000000000000595591168 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) |
(if (<=.f64 b #s(literal 12500000000000000595591168 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* b -1/4) 1/2) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) |
(if (<=.f64 (exp.f64 a) #s(literal 4494592428115755/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(if (<=.f64 (exp.f64 a) #s(literal 4494592428115755/4503599627370496 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(if (<=.f64 a #s(literal -95999999999999993163972032018403297796624583370034927871361740540413630288938905898619764736 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(if (<=.f64 b #s(literal 142000000000000004603516944108686390442254663680 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) #s(approx (- (+ (* (+ (* b (* b 1/2)) b) (+ (* b (* b 1/2)) b)) 4) (* (+ (* b 1/2) 1) (* b 2))) #s(literal 4 binary64))))))) |
(if (<=.f64 b #s(literal 67999999999999995795918473726267604302275492302746025984 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) |
(if (<=.f64 b #s(literal 67999999999999995795918473726267604302275492302746025984 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) |
(if (<=.f64 b #s(literal 67999999999999995795918473726267604302275492302746025984 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b)))))))) |
(if (<=.f64 b #s(literal 10000000000000000508222848402996879704791089448509839788449208028871961714412352270078388372553960191290960287445781834331294577148468377157632 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))))) |
(if (<=.f64 b #s(literal 7435931899434739/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))) |
(if (<=.f64 b #s(literal 12500000000000000595591168 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) |
(if (<=.f64 b #s(literal 12500000000000000595591168 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* b -1/4) 1/2) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
| 18 438× | lower-fma.f64 |
| 18 438× | lower-fma.f32 |
| 11 090× | lower-fma.f64 |
| 11 090× | lower-fma.f32 |
| 10 790× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 375 |
| 0 | 92 | 371 |
| 1 | 465 | 361 |
| 2 | 4186 | 355 |
| 0 | 9576 | 346 |
| 0 | 354 | 4878 |
| 1 | 1073 | 4265 |
| 2 | 3493 | 4015 |
| 0 | 8509 | 3851 |
| 0 | 381 | 5788 |
| 1 | 1156 | 5005 |
| 2 | 3580 | 4793 |
| 0 | 8266 | 4543 |
| 0 | 403 | 5264 |
| 1 | 1239 | 4617 |
| 2 | 3890 | 4401 |
| 3 | 7952 | 4313 |
| 0 | 8208 | 4102 |
| 0 | 120 | 740 |
| 1 | 332 | 725 |
| 2 | 963 | 708 |
| 3 | 3702 | 677 |
| 0 | 8342 | 640 |
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 32 | 17 |
| 2 | 203 | 17 |
| 3 | 1936 | 17 |
| 0 | 8631 | 17 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 892 to 458 computations (48.7% saved)
Compiled 674 to 190 computations (71.8% saved)
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