
Time bar (total: 7.1s)
| 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)
| 413.0ms | 8 256× | 0 | valid |
| 182.0ms | 2 924× | 0 | exit |
ival-exp: 197.0ms (59.4% of total)ival-div: 69.0ms (20.8% of total)ival-add: 54.0ms (16.3% of total)ival-true: 8.0ms (2.4% of total)ival-assert: 4.0ms (1.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 5 | 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 | 4 | 0 |
| ↳ | (exp.f64 a) | underflow | 79 | |
| ↳ | (+.f64 (exp.f64 a) (exp.f64 b)) | underflow | 4 | |
| ↳ | (exp.f64 a) | underflow | 79 | |
| ↳ | (exp.f64 b) | underflow | 58 | |
/.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 | 52 | |
| ↳ | (exp.f64 a) | overflow | 1 | |
| ↳ | (exp.f64 b) | overflow | 52 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 5 | 0 |
| - | 0 | 251 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 5 | 0 | 0 |
| - | 0 | 0 | 251 |
| number | freq |
|---|---|
| 0 | 251 |
| 1 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 27.0ms | 512× | 0 | valid |
Compiled 52 to 22 computations (57.7% saved)
ival-exp: 7.0ms (53.7% of total)ival-div: 3.0ms (23% of total)ival-add: 2.0ms (15.3% 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 |
|---|---|---|
| ▶ | 98.0% | (/.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 | 0.015625 | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| accuracy | 1.2304742510941034 | (/.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 (58.5% of total)ival-div: 1.0ms (14.6% of total)ival-add: 1.0ms (14.6% 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 | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | (/ (exp a) (+ (exp a) (exp b))) |
| 1.0ms | b | @ | inf | (/ (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))) |
| 1.0ms | 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)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 410 | 3 | 413 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 411 | 3 | 414 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 67.4% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
| ▶ | 98.1% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
| ▶ | 76.4% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
Compiled 35 to 22 computations (37.1% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | 0 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) | |
| cost-diff | 0 | #s(approx (+ (exp a) (exp b)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #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) #s(approx (+ (exp a) (exp b)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) | |
| 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)))) |
| 172× | lower-fma.f32 |
| 168× | lower-fma.f64 |
| 112× | lower-+.f32 |
| 108× | lower-+.f64 |
| 54× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 115 |
| 0 | 32 | 115 |
| 1 | 49 | 115 |
| 2 | 73 | 115 |
| 3 | 122 | 115 |
| 4 | 149 | 115 |
| 5 | 152 | 115 |
| 0 | 152 | 115 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#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) #s(approx (+ (exp a) (exp b)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(exp.f64 a) |
a |
#s(approx (+ (exp a) (exp b)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#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) |
| Outputs |
|---|
#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) #s(approx (+ (exp a) (exp b)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(exp.f64 a) |
a |
#s(approx (+ (exp a) (exp b)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#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) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (exp.f64 a) | |
| accuracy | 0.015625 | (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) | |
| accuracy | 1.2304742510941034 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) | |
| accuracy | 27.724108505572516 | #s(approx (exp b) #s(literal 1 binary64)) | |
| accuracy | 0 | (exp.f64 a) | |
| accuracy | 0.0078125 | (+.f64 #s(literal 1 binary64) (exp.f64 b)) | |
| accuracy | 1.2304742510941034 | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) | |
| accuracy | 15.104188561796946 | #s(approx (+ (exp a) (exp b)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) | |
| accuracy | 0 | (exp.f64 b) | |
| accuracy | 0.00390625 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) | |
| accuracy | 0.0078125 | (+.f64 #s(literal 1 binary64) (exp.f64 b)) | |
| accuracy | 15.105717712479423 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
| 28.0ms | 256× | 0 | valid |
Compiled 85 to 16 computations (81.2% saved)
ival-add: 5.0ms (33.7% of total)ival-exp: 4.0ms (27% of total)ival-div: 3.0ms (20.2% of total)ival-mult: 3.0ms (20.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#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) #s(approx (+ (exp a) (exp b)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (patch (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) #<representation binary64>) () ()) |
#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (exp a) (exp b)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (+ (exp a) (exp b)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (patch (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (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>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (+ 1 (exp b))) (taylor 0 a) (#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 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#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 (+ (* 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 #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 (+ (* 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 #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 (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#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 (/ (exp a) (+ 1 (exp a))) (taylor 0 b) (#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 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) (taylor 0 b) (#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 (+ (* 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 #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 (+ (* 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 #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 (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#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 1/2 (taylor 0 b) (#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 (+ 1/2 (* -1/4 b)) (taylor 0 b) (#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 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) (taylor 0 b) (#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 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))) (taylor 0 b) (#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 (/ 1 (+ 1 (exp b))) (taylor inf b) (#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 (/ 1 (+ 1 (exp b))) (taylor inf b) (#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 (/ 1 (+ 1 (exp b))) (taylor inf b) (#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 (/ 1 (+ 1 (exp b))) (taylor inf b) (#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 (/ 1 (+ 1 (exp b))) (taylor -inf b) (#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 (/ 1 (+ 1 (exp b))) (taylor -inf b) (#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 (/ 1 (+ 1 (exp b))) (taylor -inf b) (#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 (/ 1 (+ 1 (exp b))) (taylor -inf b) (#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 2 (taylor 0 b) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 b) (taylor 0 b) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* b (+ 1 (* 1/2 b)))) (taylor 0 b) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (taylor 0 b) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp b)) (taylor inf b) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp b)) (taylor inf b) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp b)) (taylor inf b) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp b)) (taylor inf b) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp b)) (taylor -inf b) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp b)) (taylor -inf b) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp b)) (taylor -inf b) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp b)) (taylor -inf b) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (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>) () ())) ()) |
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#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) #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 (+ (* 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) #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 (+ (* 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) #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 (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#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 (+ 1 (exp b)) (taylor 0 a) (#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 (+ 1 (+ a (exp b))) (taylor 0 a) (#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 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) (taylor 0 a) (#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 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) (taylor 0 a) (#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 (+ (exp a) (exp b)) (taylor inf a) (#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 (+ (exp a) (exp b)) (taylor inf a) (#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 (+ (exp a) (exp b)) (taylor inf a) (#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 (+ (exp a) (exp b)) (taylor inf a) (#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 (+ (exp a) (exp b)) (taylor -inf a) (#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 (+ (exp a) (exp b)) (taylor -inf a) (#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 (+ (exp a) (exp b)) (taylor -inf a) (#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 (+ (exp a) (exp b)) (taylor -inf a) (#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 (+ 1 (exp a)) (taylor 0 b) (#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 (+ 1 (+ b (exp a))) (taylor 0 b) (#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 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) (taylor 0 b) (#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 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (taylor 0 b) (#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 (+ (exp a) (exp b)) (taylor inf b) (#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 (+ (exp a) (exp b)) (taylor inf b) (#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 (+ (exp a) (exp b)) (taylor inf b) (#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 (+ (exp a) (exp b)) (taylor inf b) (#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 (+ (exp a) (exp b)) (taylor -inf b) (#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 (+ (exp a) (exp b)) (taylor -inf b) (#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 (+ (exp a) (exp b)) (taylor -inf b) (#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 (+ (exp a) (exp b)) (taylor -inf b) (#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 1 (taylor 0 b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 b) (taylor 0 b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* b (+ 1 (* 1/2 b)))) (taylor 0 b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (taylor 0 b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp b) (taylor inf b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp b) (taylor inf b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp b) (taylor inf b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp b) (taylor inf b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp b) (taylor -inf b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp b) (taylor -inf b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp b) (taylor -inf b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp b) (taylor -inf b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | -inf | (+ (* a (+ (* a 1/2) 1)) (+ 1 (exp b))) |
| 1.0ms | b | @ | inf | (/ 1 (+ 1 (exp b))) |
| 0.0ms | b | @ | inf | (+ (* a (+ (* a 1/2) 1)) (+ 1 (exp b))) |
| 0.0ms | b | @ | -inf | (/ 1 (+ 1 (exp b))) |
| 0.0ms | a | @ | inf | (+ (* a (+ (* a 1/2) 1)) (+ 1 (exp b))) |
| 1× | egg-herbie |
| 13 014× | lower-fma.f64 |
| 13 014× | lower-fma.f32 |
| 3 862× | lower-*.f64 |
| 3 862× | lower-*.f32 |
| 3 298× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 165 | 2374 |
| 1 | 449 | 2327 |
| 2 | 1317 | 2266 |
| 3 | 4787 | 2186 |
| 0 | 8143 | 2054 |
| 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))) |
1/2 |
(+ 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 |
(+ 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 (exp b)) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2)))))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2)))))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a)))) |
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a)))) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (+ b (* a (+ 1 (* 1/2 a))))) |
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b))))) |
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 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 (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))) (neg.f64 (/.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 1/2 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 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 (+.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))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 a (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)) (fma.f64 (+.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)))) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 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 (*.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))))) (neg.f64 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))))) |
(+ (* 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 (*.f64 (neg.f64 b) (fma.f64 b (fma.f64 (exp.f64 a) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.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 (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 (+.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))) |
1/2 |
#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 (*.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)) |
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)))) |
(fma.f64 (+.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (neg.f64 (/.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 1/2 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 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 (+.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))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 a (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)) (fma.f64 (+.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)))) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 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 (*.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))))) (neg.f64 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))))) |
(+ (* 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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1 |
#s(literal 1 binary64) |
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(+ (* 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 (+ a (exp b))) |
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(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
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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)) |
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(+ (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) |
| 9 924× | lower-fma.f32 |
| 9 920× | lower-fma.f64 |
| 4 582× | lower-*.f64 |
| 4 582× | lower-*.f32 |
| 3 644× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 95 |
| 0 | 32 | 95 |
| 1 | 131 | 95 |
| 2 | 966 | 95 |
| 0 | 8628 | 95 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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) #s(approx (+ (exp a) (exp b)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(exp.f64 a) |
#s(approx (+ (exp a) (exp b)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (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)) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.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 #s(literal 3 binary64))))) (*.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (*.f64 (neg.f64 (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (exp.f64 b) (expm1.f64 b)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (exp.f64 b) (expm1.f64 b))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (neg.f64 (exp.f64 b)))) |
(+.f64 (*.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) |
(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)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (*.f64 (neg.f64 (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))))) |
(fma.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (exp.f64 b) (expm1.f64 b)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (exp.f64 b) (expm1.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (neg.f64 (exp.f64 b)))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))) |
(neg.f64 (*.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) (exp.f64 b))) |
(/.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))) (+.f64 #s(literal -1 binary64) (neg.f64 (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 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 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 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b))) #s(literal 1 binary64))) |
(*.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 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 1 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 #s(literal 3 binary64))))) (*.f64 (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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64))) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 b)))) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(+.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))))) |
(+.f64 (neg.f64 (neg.f64 (exp.f64 b))) #s(literal 1 binary64)) |
(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 (/.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 #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))))) |
(fma.f64 (exp.f64 b) #s(literal 1 binary64) #s(literal 1 binary64)) |
(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 #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 (-.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 #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) (-.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (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)) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 (+.f64 b b)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))) (-.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 b b))) (neg.f64 (expm1.f64 b))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 3 binary64))) (fma.f64 (/.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))) (fma.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (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 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))))) |
(/.f64 (-.f64 (*.f64 (/.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 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (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 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64)) |
(pow.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) (exp.f64 b))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64)) |
(*.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)))) (/.f64 #s(literal 1 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 #s(literal 1 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 #s(literal 3 binary64)))) (*.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) (exp.f64 (+.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 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 b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(*.f64 (expm1.f64 (+.f64 b b)) (/.f64 #s(literal 1 binary64) (expm1.f64 b))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (/.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 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))) |
(exp.f64 b) |
(*.f64 #s(literal 1 binary64) (exp.f64 b)) |
(*.f64 (exp.f64 b) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b)))) (exp.f64 (neg.f64 a)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b))))))) |
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(*.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 (+.f64 a a))) (*.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 (+.f64 a a)))))) |
(*.f64 (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 (+.f64 a a)))))) |
(*.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))) |
(*.f64 (-.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))) |
#s(approx (exp b) #s(literal 1 binary64)) |
Compiled 18 555 to 1 701 computations (90.8% saved)
14 alts after pruning (12 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 759 | 12 | 771 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 0 | 0 |
| Total | 760 | 14 | 774 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 67.4% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
| ▶ | 67.2% | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
| 67.0% | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) | |
| 66.7% | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))) | |
| 66.1% | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) | |
| 67.0% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(approx (+ 1 (exp b)) #s(literal 2 binary64))))) | |
| ✓ | 76.4% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
| ▶ | 49.0% | #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))))) |
| ▶ | 47.2% | #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))))) |
| ▶ | 34.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
| 34.9% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (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)))) | |
| 34.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) | |
| 35.0% | #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)))) | |
| ▶ | 37.5% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
Compiled 325 to 196 computations (39.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | (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 | (+.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 | #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 | #s(approx (exp 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))) | |
| cost-diff | 0 | (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) | |
| cost-diff | 0 | (exp.f64 a) | |
| cost-diff | 0 | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
| 848× | lower-fma.f32 |
| 832× | lower-fma.f64 |
| 296× | lower-*.f64 |
| 296× | lower-*.f32 |
| 268× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 300 |
| 0 | 61 | 300 |
| 1 | 110 | 300 |
| 2 | 199 | 300 |
| 3 | 371 | 300 |
| 4 | 491 | 300 |
| 5 | 537 | 300 |
| 6 | 537 | 300 |
| 0 | 537 | 300 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(exp.f64 a) |
a |
(+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp 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))) |
(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)) |
(fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (exp b) #s(literal 1 binary64)) |
#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))) (/.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 #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))) (/.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) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(exp.f64 a) |
a |
(+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp 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))) |
(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)) |
(fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (exp b) #s(literal 1 binary64)) |
#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))) (/.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 #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 #s(literal 1/2 binary64) b #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)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #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))) |
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #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 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)) |
b |
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 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)) (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 (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) 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 (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 #s(literal 1/6 binary64) 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 (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 #s(literal 1/6 binary64) b #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)) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0546875 | (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.140625 | (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 15.105717712479423 | #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 | 18.297102285684655 | #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 | (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (/.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 | 15.105717712479423 | #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 | 19.104598989431757 | #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 | (+.f64 b #s(literal 2 binary64)) | |
| accuracy | 0.00390625 | (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) | |
| accuracy | 15.105717712479423 | #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 | 27.27845702751984 | #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) | |
| accuracy | 15.105717712479423 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) | |
| accuracy | 25.381631394697845 | #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)) | |
| accuracy | 0.0859375 | (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 1.2304742510941034 | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) | |
| accuracy | 19.93964931595759 | #s(approx (exp 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))) | |
| accuracy | 27.724108505572516 | #s(approx (exp b) #s(literal 1 binary64)) |
| 52.0ms | 256× | 0 | valid |
Compiled 177 to 31 computations (82.5% saved)
ival-add: 12.0ms (33.4% of total)ival-mult: 11.0ms (30.6% of total)ival-div: 4.0ms (11.1% of total)ival-exp: 4.0ms (11.1% of total)const: 4.0ms (11.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp 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))) (patch #s(approx (exp 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))) #<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))) (/.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 #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 #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 #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 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 (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>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (+ 1 (exp b))) (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) #<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 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) #<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 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) #<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 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ 1 (exp a))) (taylor 0 b) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) #<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 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) #<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 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) #<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 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 b) (taylor -inf b) (#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 (* b (+ 1/2 (/ 1 b))) (taylor -inf b) (#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 (* b (+ 1/2 (/ 1 b))) (taylor -inf b) (#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 (* b (+ 1/2 (/ 1 b))) (taylor -inf b) (#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 1/2 (taylor 0 b) (#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 (+ 1/2 (* 1/6 b)) (taylor 0 b) (#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 (+ 1/2 (* 1/6 b)) (taylor 0 b) (#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 (+ 1/2 (* 1/6 b)) (taylor 0 b) (#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 (* 1/6 b) (taylor inf b) (#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 (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor inf b) (#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 (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor inf b) (#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 (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor inf b) (#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 (* 1/6 b) (taylor -inf b) (#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 (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor -inf b) (#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 (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor -inf b) (#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 (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor -inf b) (#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 1 (taylor 0 b) (#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 (+ 1 (* 1/2 b)) (taylor 0 b) (#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 (+ 1 (* b (+ 1/2 (* 1/6 b)))) (taylor 0 b) (#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 (+ 1 (* b (+ 1/2 (* 1/6 b)))) (taylor 0 b) (#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 (* 1/6 (pow b 2)) (taylor inf b) (#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 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b)))) (taylor inf b) (#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 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) (taylor inf b) (#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 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) (taylor inf b) (#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 (* 1/6 (pow b 2)) (taylor -inf b) (#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 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b)))) (taylor -inf b) (#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 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) (taylor -inf b) (#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 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) (taylor -inf b) (#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>) () ())) ()) |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | -inf | (+ (* a 1/6) 1/2) |
| 0.0ms | b | @ | inf | (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) |
| 0.0ms | b | @ | -inf | (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) |
| 0.0ms | a | @ | inf | (+ (* a 1/6) 1/2) |
| 0.0ms | b | @ | inf | (+ (* b (+ (* b 1/2) 1)) 2) |
| 1× | egg-herbie |
| 13 720× | lower-fma.f64 |
| 13 720× | lower-fma.f32 |
| 5 466× | lower-*.f64 |
| 5 466× | lower-*.f32 |
| 2 684× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 185 | 3762 |
| 1 | 534 | 3679 |
| 2 | 1523 | 3588 |
| 3 | 6398 | 3576 |
| 0 | 8182 | 3398 |
| 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 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))) |
(/ 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 (* 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))))) |
(/ 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))) |
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) |
1/2 |
(+ 1/2 (* 1/6 a)) |
(+ 1/2 (* 1/6 a)) |
(+ 1/2 (* 1/6 a)) |
(* 1/6 a) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
(* 1/6 a) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
1 |
(+ 1 (* 1/2 b)) |
(+ 1 (* 1/2 b)) |
(+ 1 (* 1/2 b)) |
(* 1/2 b) |
(* b (+ 1/2 (/ 1 b))) |
(* b (+ 1/2 (/ 1 b))) |
(* b (+ 1/2 (/ 1 b))) |
(* 1/2 b) |
(* b (+ 1/2 (/ 1 b))) |
(* b (+ 1/2 (/ 1 b))) |
(* b (+ 1/2 (/ 1 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))))) |
| 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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 a (neg.f64 (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 (fma.f64 a (+.f64 (+.f64 (/.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 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) (+.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 (+ 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 a (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 #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 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (+.f64 (+.f64 (/.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 3 binary64)))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (+.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)))) |
(/ (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)))) |
(fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (neg.f64 b) (/.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 (neg.f64 b) (fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 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 b (-.f64 (neg.f64 (*.f64 (fma.f64 b (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64)) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.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 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)))) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 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))))) |
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(+ 1 (+ (exp a) (* 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)) (+.f64 #s(literal 1 binary64) (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)) |
(+ (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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 a (neg.f64 (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 (fma.f64 a (+.f64 (+.f64 (/.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 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) (+.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)))) |
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#s(literal 1/2 binary64) |
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2 |
#s(literal 2 binary64) |
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#s(literal 2 binary64) |
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b |
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(* b (+ 1 (* 2 (/ 1 b)))) |
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1/2 |
#s(literal 1/2 binary64) |
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(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) |
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(/ 1 (+ 1 (exp b))) |
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(/.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 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)) |
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
(fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) b) |
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3))))))) |
(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 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6))) |
(*.f64 b (*.f64 b (*.f64 b (-.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))) |
(*.f64 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) 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) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 a)) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 a)) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 a)) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
(fma.f64 a #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 (* 1/2 b)) |
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/2 b)) |
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/2 b) |
(*.f64 b #s(literal 1/2 binary64)) |
(* b (+ 1/2 (/ 1 b))) |
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* b (+ 1/2 (/ 1 b))) |
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* b (+ 1/2 (/ 1 b))) |
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/2 b) |
(*.f64 b #s(literal 1/2 binary64)) |
(* b (+ 1/2 (/ 1 b))) |
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* b (+ 1/2 (/ 1 b))) |
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* b (+ 1/2 (/ 1 b))) |
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) |
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)) |
| 4 344× | lower-/.f32 |
| 4 336× | lower-/.f64 |
| 4 326× | lower-fma.f32 |
| 4 310× | lower-fma.f64 |
| 3 274× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 266 |
| 0 | 61 | 266 |
| 1 | 282 | 266 |
| 2 | 2096 | 266 |
| 0 | 8342 | 266 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(exp.f64 a) |
(+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp 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))) |
#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))) (/.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 #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)) |
#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)) |
#s(approx (exp b) #s(literal 1 binary64)) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 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)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))))) (/.f64 (exp.f64 a) (neg.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))))) |
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))))) |
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))))) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))))) |
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (exp.f64 a) #s(literal 1 binary64)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 a)))) (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (exp.f64 a) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))))) |
(pow.f64 (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))) #s(literal -1 binary64)) |
(*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 a)) |
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(fma.f64 (*.f64 #s(literal 1/6 binary64) b) b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) |
(fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))) (fma.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) #s(literal -1 binary64))) (neg.f64 (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))) (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64)) (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)))) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) b))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))) (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))) (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))) (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))) (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal -1 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))))) |
(*.f64 (fma.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
Compiled 14 930 to 1 398 computations (90.6% saved)
31 alts after pruning (26 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 678 | 21 | 699 |
| Fresh | 2 | 5 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 682 | 31 | 713 |
| Status | Accuracy | Program |
|---|---|---|
| 11.9% | (/.f64 (exp.f64 a) (/.f64 (-.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp 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))) #s(approx (exp 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))))) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp 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)))))) | |
| 11.9% | (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp 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)))) (-.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp 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))) #s(approx (exp 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)))))))) | |
| ✓ | 67.4% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
| ✓ | 67.2% | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
| 66.1% | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) | |
| 67.0% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(approx (+ 1 (exp b)) #s(literal 2 binary64))))) | |
| 38.8% | (/.f64 #s(approx (exp 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))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) | |
| 44.3% | (/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) | |
| ▶ | 57.5% | (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
| 56.9% | (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) | |
| ▶ | 67.2% | (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)))) |
| ✓ | 76.4% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
| 49.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) | |
| 36.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))))) | |
| 48.7% | #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(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) | |
| 48.2% | #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 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) | |
| 48.2% | #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))))) | |
| 46.5% | #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))))) | |
| 38.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))))) | |
| 38.4% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) #s(literal -4 binary64)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal -2 binary64)))))) | |
| ✓ | 34.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
| ▶ | 17.4% | #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 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))))) |
| ▶ | 32.3% | #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) |
| 26.4% | #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 b (*.f64 b (*.f64 b (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) b))))))))) | |
| 16.6% | #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))))))) | |
| 15.4% | #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))))) | |
| 15.8% | #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))))))) | |
| 34.9% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (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)))) | |
| 34.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) | |
| ▶ | 35.0% | #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)))) |
| ✓ | 37.5% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
Compiled 1 176 to 604 computations (48.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 192 | (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) | |
| cost-diff | 384 | (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b) | |
| cost-diff | 832 | (*.f64 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))) | |
| cost-diff | 1280 | (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b))) | |
| cost-diff | 0 | (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) | |
| 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 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b))) | |
| cost-diff | 0 | #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b))))) | |
| cost-diff | 0 | #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 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))))) | |
| cost-diff | 0 | (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ 1 (+ 1 (exp b))) (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 (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | #s(approx (exp 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))) | |
| cost-diff | 0 | (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))) | |
| cost-diff | 448 | (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)))) |
| 7 374× | lower-fma.f32 |
| 7 362× | lower-fma.f64 |
| 4 208× | lower-*.f32 |
| 4 198× | lower-*.f64 |
| 2 004× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 631 |
| 0 | 83 | 623 |
| 1 | 155 | 615 |
| 2 | 319 | 611 |
| 3 | 709 | 601 |
| 4 | 1275 | 599 |
| 5 | 2520 | 581 |
| 6 | 4273 | 581 |
| 7 | 5497 | 581 |
| 8 | 6070 | 581 |
| 9 | 6525 | 581 |
| 10 | 7123 | 581 |
| 0 | 8696 | 552 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)))) |
#s(literal 1 binary64) |
(*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))) |
(+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp 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))) |
(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)) |
a |
(fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(approx (exp b) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 a)) |
(neg.f64 a) |
#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 (/ 1 (+ 1 (exp b))) (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)) |
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 (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b))))) |
#s(literal 1 binary64) |
#s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))) |
#s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b))) |
(*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)) |
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
b |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 b b) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) |
(+.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp 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))) |
(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)) |
(fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(approx (exp b) #s(literal 1 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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b))))))) |
#s(literal 1 binary64) |
#s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))) |
#s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b))))) |
(*.f64 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))) |
b |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b))) |
(*.f64 b b) |
(+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)) |
#s(literal 1/6 binary64) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) |
(+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) b) |
#s(literal 2 binary64) |
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)))) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))) |
(+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp 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))) |
(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)) |
a |
(fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(approx (exp b) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 a)) |
(neg.f64 a) |
#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 (/ 1 (+ 1 (exp b))) (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)) |
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 (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b))))) |
#s(literal 1 binary64) |
#s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))) |
#s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b)))) |
#s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b))) |
#s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b))) |
(*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b)) |
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
b |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 b b) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) |
(+.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp 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))) |
(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)) |
(fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(approx (exp b) #s(literal 1 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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) |
#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 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b))))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
#s(literal 1 binary64) |
#s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))) |
#s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
#s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b))))) |
#s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
b |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b))) |
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))) |
(*.f64 b b) |
(+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)) |
(+.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 b (*.f64 b b)))) |
#s(literal 1/6 binary64) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b) |
(/.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 b (*.f64 b b))) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) |
(/.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 b b)) |
(+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b))) |
(/.f64 #s(literal 2 binary64) b) |
#s(literal 2 binary64) |
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10546875 | (*.f64 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))) | |
| accuracy | 15.105717712479423 | #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) | |
| accuracy | 18.297102285684655 | #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))) | |
| accuracy | 22.38894032051088 | (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b))) | |
| accuracy | 1.2304742510941034 | (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) | |
| accuracy | 19.93964931595763 | #s(approx (exp 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))) | |
| accuracy | 20.23148994097484 | #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) | |
| accuracy | 27.72410850557245 | #s(approx (exp b) #s(literal 1 binary64)) | |
| accuracy | 0.140625 | (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 15.105717712479423 | #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 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))))) | |
| accuracy | 18.297102285684655 | #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))) | |
| accuracy | 34.9721993298848 | #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b))) | |
| accuracy | 0 | (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 15.105717712479423 | #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)))) | |
| accuracy | 26.894673100681217 | #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) | |
| accuracy | 0.0859375 | (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 1.1367270031524757 | (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))) | |
| accuracy | 19.93964931595763 | #s(approx (exp 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))) | |
| accuracy | 27.72410850557245 | #s(approx (exp b) #s(literal 1 binary64)) |
| 75.0ms | 256× | 0 | valid |
Compiled 329 to 45 computations (86.3% saved)
ival-mult: 18.0ms (34.1% of total)ival-add: 14.0ms (26.5% of total)ival-div: 9.0ms (17% of total)ival-exp: 6.0ms (11.4% of total)const: 4.0ms (7.6% of total)exact: 1.0ms (1.9% of total)ival-neg: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp 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))) (patch #s(approx (exp 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))) #<representation binary64>) () ()) |
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (patch #s(approx (/ 1 (+ 1 (exp b))) (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)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))))) (patch #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 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))) (patch #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b))) (patch #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) #<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 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b))) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b))) #<representation binary64>) () ()) |
#s(alt (*.f64 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))) (patch (*.f64 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b) (patch (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) (patch (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) #<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 (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 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 #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))) (patch #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))) #<representation binary64>) () ()) |
#s(alt #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) (patch #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (+ 1 (exp b))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #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) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) (taylor 0 b) (#s(alt #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) (patch #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) 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 #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) (patch #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) 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 #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) (patch #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) (patch #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) (patch #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) (patch #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) (patch #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) (patch #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) (patch #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) (patch #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) (patch #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) #<representation binary64>) () ())) ()) |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | -inf | (* (+ (exp a) (exp b)) (exp (neg a))) |
| 1.0ms | b | @ | 0 | (/ 1 (* (+ (exp a) (exp b)) (exp (neg a)))) |
| 1.0ms | a | @ | 0 | (/ 1 (* (+ (exp a) (exp b)) (exp (neg a)))) |
| 1.0ms | a | @ | inf | (/ 1 (* (+ (exp a) (exp b)) (exp (neg a)))) |
| 1.0ms | a | @ | -inf | (/ 1 (* (+ (exp a) (exp b)) (exp (neg a)))) |
| 1× | egg-herbie |
| 19 012× | lower-fma.f64 |
| 19 012× | lower-fma.f32 |
| 5 780× | lower-+.f64 |
| 5 780× | lower-+.f32 |
| 5 566× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 303 | 4520 |
| 1 | 872 | 4046 |
| 2 | 2600 | 3900 |
| 0 | 8539 | 3707 |
| 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 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))) |
1/2 |
(+ 1/2 (* -1/4 b)) |
(+ 1/2 (* -1/4 b)) |
(+ 1/2 (* -1/4 b)) |
(* -1/4 b) |
(* b (- (* 1/2 (/ 1 b)) 1/4)) |
(* b (- (* 1/2 (/ 1 b)) 1/4)) |
(* b (- (* 1/2 (/ 1 b)) 1/4)) |
(* -1/4 b) |
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b))))) |
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b))))) |
(* -1 (* b (- 1/4 (* 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))) |
(/ 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))) |
(/ 2 b) |
(/ (+ 2 b) b) |
(/ (+ 2 (* b (+ 1 (* 1/2 b)))) b) |
(/ (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 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)) (* 2 (/ 1 (pow b 3))))))) |
(* 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 (/ (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2) 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))) |
(/ 2 (pow b 3)) |
(/ (+ 2 b) (pow b 3)) |
(/ (+ 2 (* b (+ 1 (* 1/2 b)))) (pow b 3)) |
(/ (+ 2 (* b (+ 1 (* 1/2 b)))) (pow b 3)) |
(/ 1/2 b) |
(/ (+ 1/2 (/ 1 b)) b) |
(/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b) |
(/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b) |
(/ 1/2 b) |
(/ (+ 1/2 (/ 1 b)) b) |
(* -1 (/ (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2) b)) |
(* -1 (/ (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2) b)) |
(/ 2 (pow b 2)) |
(/ (+ 2 b) (pow b 2)) |
(/ (+ 2 (* b (+ 1 (* 1/2 b)))) (pow b 2)) |
(/ (+ 2 (* b (+ 1 (* 1/2 b)))) (pow b 2)) |
1/2 |
(+ 1/2 (/ 1 b)) |
(+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) |
(+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) |
1/2 |
(+ 1/2 (/ 1 b)) |
(+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) |
(+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) |
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) |
1/2 |
(+ 1/2 (* 1/6 a)) |
(+ 1/2 (* 1/6 a)) |
(+ 1/2 (* 1/6 a)) |
(* 1/6 a) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
(* 1/6 a) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
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)))) |
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 (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))) |
| 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 (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 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (-.f64 (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 (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 #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)))) |
(/ 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))))) |
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(/ 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)) |
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(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b))))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (neg.f64 a) (exp.f64 b))) |
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2))))))) |
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(+ 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 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) (fma.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))) (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)))) |
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(+ (* 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 (fma.f64 b #s(literal 1/6 binary64) #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 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (+ a (exp b))) |
(+.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) 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))))))) |
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(+ (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))))))) |
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(+ (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)))) |
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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)))) |
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(-.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 (fma.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) (neg.f64 (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 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 b (*.f64 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))) |
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 (* -1/4 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)))) |
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))) |
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(* a (+ 1 (/ 1 a))) |
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(* a (+ 1 (/ 1 a))) |
(+.f64 #s(literal 1 binary64) a) |
(/ 2 b) |
(/.f64 #s(literal 2 binary64) b) |
(/ (+ 2 b) b) |
(/.f64 (+.f64 b #s(literal 2 binary64)) b) |
(/ (+ 2 (* b (+ 1 (* 1/2 b)))) b) |
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) b) |
(/ (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) b) |
(/.f64 (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) |
(* 1/6 (pow b 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 b b)) |
(* (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)) (* 2 (/ 1 (pow b 3))))))) |
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(* 1/6 (pow b 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 b b)) |
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2 |
#s(literal 2 binary64) |
(+ 2 b) |
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(+ 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)) |
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(* 1/6 (pow b 3)) |
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(*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
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(* 1/6 (pow b 3)) |
(*.f64 b (*.f64 #s(literal 1/6 binary64) (*.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))) |
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(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6))) |
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(/ 2 (pow b 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) |
(/ (+ 2 b) (pow b 3)) |
(/.f64 (+.f64 b #s(literal 2 binary64)) (*.f64 b (*.f64 b b))) |
(/ (+ 2 (* b (+ 1 (* 1/2 b)))) (pow b 3)) |
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(/ (+ 2 (* b (+ 1 (* 1/2 b)))) (pow b 3)) |
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 b (*.f64 b b))) |
(/ 1/2 b) |
(/.f64 #s(literal 1/2 binary64) b) |
(/ (+ 1/2 (/ 1 b)) b) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b) |
(/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 2 binary64) (*.f64 b b)))) b) |
(/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 2 binary64) (*.f64 b b)))) b) |
(/ 1/2 b) |
(/.f64 #s(literal 1/2 binary64) b) |
(/ (+ 1/2 (/ 1 b)) b) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b) |
(* -1 (/ (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2) b)) |
(neg.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)) b)) b)) |
(* -1 (/ (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2) b)) |
(neg.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)) b)) b)) |
(/ 2 (pow b 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/ (+ 2 b) (pow b 2)) |
(/.f64 (+.f64 b #s(literal 2 binary64)) (*.f64 b b)) |
(/ (+ 2 (* b (+ 1 (* 1/2 b)))) (pow b 2)) |
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(/ (+ 2 (* b (+ 1 (* 1/2 b)))) (pow b 2)) |
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 b b)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (/ 1 b)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) |
(+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (/ 1 b)) |
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(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 2 binary64) (*.f64 b b)))) |
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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)) |
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(exp b) |
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(exp b) |
(exp.f64 b) |
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(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) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 a)) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 a)) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 a)) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
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)) |
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(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)) |
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)))))) |
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(+ 1 (exp b)) |
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(/ 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)))) |
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(+ (* 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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(+ (* 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)))) |
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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 (fma.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) (neg.f64 (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)))) |
| 5 680× | lower-*.f32 |
| 5 670× | lower-*.f64 |
| 4 152× | lower-/.f32 |
| 4 138× | lower-/.f64 |
| 3 270× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 417 |
| 0 | 83 | 417 |
| 1 | 370 | 409 |
| 2 | 3010 | 407 |
| 0 | 9262 | 391 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)))) |
(*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))) |
(+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp 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))) |
#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 (/ 1 (+ 1 (exp b))) (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)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b))))) |
#s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))) |
#s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) |
(+.f64 #s(literal 1 binary64) a) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b))) |
(*.f64 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) |
#s(approx (exp b) #s(literal 1 binary64)) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))) |
#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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) |
| Outputs |
|---|
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) a) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))))) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))))) (neg.f64 (exp.f64 (neg.f64 a)))) |
(pow.f64 (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (exp.f64 (neg.f64 a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (-.f64 (log.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) a)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))))) |
(*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (pow.f64 (/.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) #s(literal 1 binary64)) (exp.f64 a)) |
(+.f64 (*.f64 (exp.f64 (neg.f64 a)) #s(approx (exp 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)))) (*.f64 (exp.f64 (neg.f64 a)) #s(approx (exp b) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (exp.f64 (neg.f64 a)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 a)) #s(approx (exp 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))))) |
(+.f64 (*.f64 #s(approx (exp 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.f64 (neg.f64 a))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)))) |
(+.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) (*.f64 #s(approx (exp 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.f64 (neg.f64 a)))) |
(exp.f64 (neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) a) #s(literal -1 binary64)))) |
(fma.f64 #s(approx (exp 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.f64 (neg.f64 a)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)))) |
(fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) (*.f64 #s(approx (exp 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.f64 (neg.f64 a)))) |
(fma.f64 (exp.f64 (neg.f64 a)) #s(approx (exp 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))) (*.f64 (exp.f64 (neg.f64 a)) #s(approx (exp b) #s(literal 1 binary64)))) |
(fma.f64 (exp.f64 (neg.f64 a)) #s(approx (exp b) #s(literal 1 binary64)) (*.f64 (exp.f64 (neg.f64 a)) #s(approx (exp 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))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))))) |
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(*.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b))) (*.f64 b b)))) |
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(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b))) (*.f64 b b)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b))) b) b) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b))) b) (neg.f64 (neg.f64 b))) |
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(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b)))) (neg.f64 (*.f64 b b))) |
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(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b))) #s(literal 1 binary64)) (*.f64 b b)) |
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(pow.f64 (*.f64 b (/.f64 b (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b))))) #s(literal -1 binary64)) |
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(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b))) (/.f64 (/.f64 #s(literal 1 binary64) b) b)) |
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(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b))) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (neg.f64 b))) |
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(*.f64 (pow.f64 (/.f64 b (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 b))) |
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(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b))) (neg.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b)))) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b))) b) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b)))) (neg.f64 b)) |
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(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) (/.f64 #s(literal 8 binary64) (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) b)) (/.f64 #s(literal 4 binary64) (*.f64 b b))) b)) |
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(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b))) #s(literal 1 binary64)) b) |
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(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b))) (/.f64 #s(literal 1 binary64) b)) |
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(*.f64 (pow.f64 (/.f64 b (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))))) |
#s(approx (exp b) #s(literal 1 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))) |
(+.f64 (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 a a)) (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 a a) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/12 binary64))) (fma.f64 #s(literal 1/216 binary64) (*.f64 a (*.f64 a a)) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 a a) #s(literal -1/4 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 a (*.f64 a a)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 a a) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/12 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 a (*.f64 a a)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 a a)) (*.f64 a #s(literal 1/12 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 a a) #s(literal -1/4 binary64)) (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 a (*.f64 a a)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 a a) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/12 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 a a) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 a a))) (-.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 a a)) (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
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(pow.f64 (/.f64 (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 a a) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 a (*.f64 a a)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 a a) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/12 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 a a) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)) |
(+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64))) (fma.f64 #s(literal 1/216 binary64) (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (*.f64 b #s(literal 1/12 binary64))))) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64))) (fma.f64 #s(literal 1/216 binary64) (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64))))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b))) b) b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b))) b) b (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))) |
(/.f64 #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b))) b) b (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b))) b) b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))))) #s(literal -1 binary64)) |
#s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b))) b) b (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))))) |
(pow.f64 #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b))) b) b (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b))) b) b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))))) #s(literal -1 binary64)) |
(*.f64 #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b))) b) b (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))))) #s(literal 1 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 b (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b))) b) b (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))) |
Compiled 17 276 to 1 468 computations (91.5% saved)
35 alts after pruning (30 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 729 | 18 | 747 |
| Fresh | 9 | 12 | 21 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 4 | 5 |
| Total | 743 | 35 | 778 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 67.4% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
| 66.1% | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) | |
| 38.8% | (/.f64 #s(approx (exp 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))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) | |
| 44.3% | (/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) | |
| 62.8% | (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (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 1 binary64))))) | |
| 57.5% | (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(approx (+ (* a 1/6) 1/2) (*.f64 a #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) | |
| 50.9% | (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(approx (+ (* a 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) | |
| 38.5% | (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))) | |
| 37.1% | (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) | |
| 56.9% | (/.f64 #s(approx (exp a) #s(approx (+ 1 a) #s(literal 1 binary64))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) | |
| 67.4% | (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) | |
| 8.9% | (*.f64 (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))))) (-.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) | |
| ✓ | 76.4% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
| 49.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) | |
| 48.7% | #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(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) | |
| 46.5% | #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))))) | |
| 38.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))))) | |
| 38.4% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) #s(literal -4 binary64)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal -2 binary64)))))) | |
| ✓ | 34.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
| 17.4% | #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 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 b b)))))) | |
| 4.6% | #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 (/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) (*.f64 b b)))))) | |
| 4.6% | #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 (*.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64))))) (*.f64 b b)))))) | |
| 15.8% | #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(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) (*.f64 b b)))))) | |
| 31.5% | #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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) #s(approx (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b) (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))))))))))) | |
| 17.4% | #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 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) | |
| 26.4% | #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 b (*.f64 b (*.f64 b (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) b))))))))) | |
| 16.6% | #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 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))))) | |
| 37.5% | #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 b #s(approx (* (* b b) (+ 1/6 (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b))) (/.f64 #s(literal 2 binary64) b))))))) | |
| 16.6% | #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))))))) | |
| 15.4% | #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))))) | |
| 34.9% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (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)))) | |
| 34.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) | |
| ✓ | 35.0% | #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)))) |
| 4.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64))))) | |
| ✓ | 37.5% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
Compiled 1 597 to 522 computations (67.3% 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 (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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))))))) |
#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(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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))))) |
#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)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))))) |
#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 b #s(approx (* (* b b) (+ 1/6 (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b))) (/.f64 #s(literal 2 binary64) b))))))) |
#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 b (*.f64 b (fma.f64 b #s(literal 1/6 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 (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.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))) #s(approx (/ 1 (+ 1 (exp b))) (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)))) |
#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 (fma.f64 b #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)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 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))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(approx (+ (* a 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) #s(approx (+ 1 a) #s(literal 1 binary64))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(approx (+ (* a 1/6) 1/2) (*.f64 a #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 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 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 b b)))))) |
#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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) #s(approx (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b) (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))))))))))) |
(/.f64 #s(approx (exp 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))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 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 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (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 1 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 b (*.f64 b (*.f64 b (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) 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 #s(literal 1/2 binary64) (*.f64 b b) b) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) #s(literal -4 binary64)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #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 (/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) (*.f64 b b)))))) |
#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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) |
#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 (*.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64))))) (*.f64 b 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 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))))) |
(*.f64 (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))))) (-.f64 #s(approx (exp 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))) #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)))) |
(/.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 (exp.f64 a) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(approx (+ 1 (exp b)) #s(literal 2 binary64))))) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)))) |
(/.f64 (exp.f64 a) (/.f64 (-.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp 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))) #s(approx (exp 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))))) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp 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)))))) |
(/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp 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)))) (-.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp 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))) #s(approx (exp 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)))))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
5 calls:
| 18.0ms | b |
| 17.0ms | a |
| 15.0ms | (exp.f64 b) |
| 13.0ms | (exp.f64 a) |
| 13.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | a |
| 98.1% | 1 | b |
| 98.1% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 98.1% | 1 | (exp.f64 a) |
| 98.1% | 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 (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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))))))) |
#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(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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))))) |
#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)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))))) |
#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 b #s(approx (* (* b b) (+ 1/6 (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b))) (/.f64 #s(literal 2 binary64) b))))))) |
#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 b (*.f64 b (fma.f64 b #s(literal 1/6 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 (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.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))) #s(approx (/ 1 (+ 1 (exp b))) (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)))) |
#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 (fma.f64 b #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)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 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))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(approx (+ (* a 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) #s(approx (+ 1 a) #s(literal 1 binary64))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(approx (+ (* a 1/6) 1/2) (*.f64 a #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 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 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 b b)))))) |
#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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) #s(approx (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b) (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))))))))))) |
(/.f64 #s(approx (exp 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))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 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 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (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 1 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 b (*.f64 b (*.f64 b (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) 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 #s(literal 1/2 binary64) (*.f64 b b) b) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) #s(literal -4 binary64)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #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 (/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) (*.f64 b b)))))) |
#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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) |
#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 (*.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64))))) (*.f64 b 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 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))))) |
(*.f64 (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))))) (-.f64 #s(approx (exp 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))) #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)))) |
(/.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 (exp.f64 a) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(approx (+ 1 (exp b)) #s(literal 2 binary64))))) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)))) |
(/.f64 (exp.f64 a) (/.f64 (-.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp 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))) #s(approx (exp 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))))) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp 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)))))) |
(/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp 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)))) (-.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp 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))) #s(approx (exp 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)))))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #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)))) |
5 calls:
| 16.0ms | b |
| 16.0ms | a |
| 13.0ms | (exp.f64 b) |
| 13.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 13.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 2 | a |
| 99.4% | 3 | b |
| 85.9% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 98.3% | 2 | (exp.f64 a) |
| 99.2% | 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 (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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))))))) |
#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(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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))))) |
#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)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))))) |
#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 b #s(approx (* (* b b) (+ 1/6 (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b))) (/.f64 #s(literal 2 binary64) b))))))) |
#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 b (*.f64 b (fma.f64 b #s(literal 1/6 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 (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.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))) #s(approx (/ 1 (+ 1 (exp b))) (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)))) |
#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 (fma.f64 b #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)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 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))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(approx (+ (* a 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) #s(approx (+ 1 a) #s(literal 1 binary64))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(approx (+ (* a 1/6) 1/2) (*.f64 a #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 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 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 b b)))))) |
#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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) #s(approx (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b) (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))))))))))) |
(/.f64 #s(approx (exp 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))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 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 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (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 1 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 b (*.f64 b (*.f64 b (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) 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 #s(literal 1/2 binary64) (*.f64 b b) b) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) #s(literal -4 binary64)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #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 (/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) (*.f64 b b)))))) |
#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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) |
#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 (*.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64))))) (*.f64 b 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 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))))) |
(*.f64 (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))))) (-.f64 #s(approx (exp 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))) #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)))) |
(/.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 (exp.f64 a) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(approx (+ 1 (exp b)) #s(literal 2 binary64))))) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)))) |
(/.f64 (exp.f64 a) (/.f64 (-.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp 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))) #s(approx (exp 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))))) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp 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)))))) |
(/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp 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)))) (-.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp 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))) #s(approx (exp 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)))))))) |
| 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)))) |
2 calls:
| 16.0ms | a |
| 13.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 2 | a |
| 98.3% | 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 (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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))))))) |
#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(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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))))) |
#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)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))))) |
#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 b #s(approx (* (* b b) (+ 1/6 (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b))) (/.f64 #s(literal 2 binary64) b))))))) |
#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 b (*.f64 b (fma.f64 b #s(literal 1/6 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 (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.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))) #s(approx (/ 1 (+ 1 (exp b))) (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)))) |
#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 (fma.f64 b #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)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 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))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(approx (+ (* a 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) #s(approx (+ 1 a) #s(literal 1 binary64))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(approx (+ (* a 1/6) 1/2) (*.f64 a #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 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 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 b b)))))) |
#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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) #s(approx (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b) (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))))))))))) |
(/.f64 #s(approx (exp 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))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 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 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (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 1 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 b (*.f64 b (*.f64 b (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) 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 #s(literal 1/2 binary64) (*.f64 b b) b) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) #s(literal -4 binary64)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #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 (/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) (*.f64 b b)))))) |
#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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) |
#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 (*.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64))))) (*.f64 b 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 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))))) |
(*.f64 (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))))) (-.f64 #s(approx (exp 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))) #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)))) |
(/.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:
| 13.0ms | a |
| 11.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 2 | a |
| 97.6% | 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 (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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))))))) |
#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(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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))))) |
#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)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))))) |
#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 b #s(approx (* (* b b) (+ 1/6 (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b))) (/.f64 #s(literal 2 binary64) b))))))) |
#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 b (*.f64 b (fma.f64 b #s(literal 1/6 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 (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.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))) #s(approx (/ 1 (+ 1 (exp b))) (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)))) |
#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 (fma.f64 b #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)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 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))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(approx (+ (* a 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) #s(approx (+ 1 a) #s(literal 1 binary64))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(approx (+ (* a 1/6) 1/2) (*.f64 a #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 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 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 b b)))))) |
#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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) #s(approx (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b) (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))))))))))) |
(/.f64 #s(approx (exp 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))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 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 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (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 1 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 b (*.f64 b (*.f64 b (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) 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 #s(literal 1/2 binary64) (*.f64 b b) b) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) #s(literal -4 binary64)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #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 (/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) (*.f64 b b)))))) |
#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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) |
#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 (*.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64))))) (*.f64 b 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 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))))) |
(*.f64 (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))))) (-.f64 #s(approx (exp 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))) #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)))) |
| Outputs |
|---|
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))))) (-.f64 #s(approx (exp 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))) #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)))) |
4 calls:
| 13.0ms | b |
| 13.0ms | a |
| 11.0ms | (exp.f64 b) |
| 11.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.5% | 2 | (exp.f64 a) |
| 91.5% | 3 | (exp.f64 b) |
| 91.9% | 3 | b |
| 96.4% | 3 | 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 (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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))))))) |
#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(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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))))) |
#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)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))))) |
#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 b #s(approx (* (* b b) (+ 1/6 (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b))) (/.f64 #s(literal 2 binary64) b))))))) |
#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 b (*.f64 b (fma.f64 b #s(literal 1/6 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 (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.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))) #s(approx (/ 1 (+ 1 (exp b))) (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)))) |
#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 (fma.f64 b #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)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 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))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(approx (+ (* a 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) #s(approx (+ 1 a) #s(literal 1 binary64))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(approx (+ (* a 1/6) 1/2) (*.f64 a #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 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 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 b b)))))) |
#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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) #s(approx (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b) (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))))))))))) |
(/.f64 #s(approx (exp 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))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 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 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (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 1 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 b (*.f64 b (*.f64 b (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) 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 #s(literal 1/2 binary64) (*.f64 b b) b) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) #s(literal -4 binary64)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #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 (/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) (*.f64 b b)))))) |
#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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) |
#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 (*.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64))))) (*.f64 b 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 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))))) |
(*.f64 (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))))) (-.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))))) (-.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (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 1 binary64))))) |
5 calls:
| 13.0ms | a |
| 12.0ms | b |
| 11.0ms | (exp.f64 a) |
| 10.0ms | (exp.f64 b) |
| 10.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.3% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 65.0% | 2 | (exp.f64 a) |
| 67.4% | 2 | (exp.f64 b) |
| 73.2% | 4 | b |
| 71.9% | 3 | 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 (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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))))))) |
#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(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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))))) |
#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)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))))) |
#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 b #s(approx (* (* b b) (+ 1/6 (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b))) (/.f64 #s(literal 2 binary64) b))))))) |
#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 b (*.f64 b (fma.f64 b #s(literal 1/6 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 (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.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))) #s(approx (/ 1 (+ 1 (exp b))) (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)))) |
#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 (fma.f64 b #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)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 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))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(approx (+ (* a 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) #s(approx (+ 1 a) #s(literal 1 binary64))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(approx (+ (* a 1/6) 1/2) (*.f64 a #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 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 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 b b)))))) |
#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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) #s(approx (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b) (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))))))))))) |
(/.f64 #s(approx (exp 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))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 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 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (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 1 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 b (*.f64 b (*.f64 b (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) 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 #s(literal 1/2 binary64) (*.f64 b b) b) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) #s(literal -4 binary64)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #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 (/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) (*.f64 b b)))))) |
#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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) |
#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 (*.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64))))) (*.f64 b 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 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))))) |
| Outputs |
|---|
(/.f64 #s(approx (exp 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))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (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 1 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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) 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)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b))))))) |
2 calls:
| 13.0ms | b |
| 12.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.2% | 4 | b |
| 70.4% | 4 | a |
Compiled 6 to 4 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 (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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))))))) |
#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(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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))))) |
#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)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))))) |
#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 b #s(approx (* (* b b) (+ 1/6 (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b))) (/.f64 #s(literal 2 binary64) b))))))) |
#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 b (*.f64 b (fma.f64 b #s(literal 1/6 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 (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.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))) #s(approx (/ 1 (+ 1 (exp b))) (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)))) |
#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 (fma.f64 b #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)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 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))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(approx (+ (* a 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) #s(approx (+ 1 a) #s(literal 1 binary64))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(approx (+ (* a 1/6) 1/2) (*.f64 a #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 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 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 b b)))))) |
#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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) #s(approx (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b) (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))))))))))) |
(/.f64 #s(approx (exp 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))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 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 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (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 1 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 b (*.f64 b (*.f64 b (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) 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 #s(literal 1/2 binary64) (*.f64 b b) b) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) #s(literal -4 binary64)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #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 (/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))) (*.f64 b b)))))) |
#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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) b) b)))))))) |
#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 (*.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64))))) (*.f64 b 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 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 #s(approx (exp 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))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (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 1 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:
| 12.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.2% | 3 | 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 (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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))))))) |
#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(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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))))) |
#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)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))))) |
#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 b #s(approx (* (* b b) (+ 1/6 (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b))) (/.f64 #s(literal 2 binary64) b))))))) |
#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 b (*.f64 b (fma.f64 b #s(literal 1/6 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 (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.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))) #s(approx (/ 1 (+ 1 (exp b))) (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)))) |
#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 (fma.f64 b #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)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 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))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(approx (+ (* a 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) #s(approx (+ 1 a) #s(literal 1 binary64))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(approx (+ (* a 1/6) 1/2) (*.f64 a #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 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 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 b b)))))) |
#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 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) #s(approx (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b) (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))))))))))) |
(/.f64 #s(approx (exp 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))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 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 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(approx (+ (* a 1/6) 1/2) (*.f64 a #s(literal 1/6 binary64))) #s(literal 1 binary64)) #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) #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:
| 11.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.5% | 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 (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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))))))) |
#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(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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))))) |
#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)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))))) |
#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 b #s(approx (* (* b b) (+ 1/6 (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b))) (/.f64 #s(literal 2 binary64) b))))))) |
#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 b (*.f64 b (fma.f64 b #s(literal 1/6 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 (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.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))) #s(approx (/ 1 (+ 1 (exp b))) (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)))) |
#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 (fma.f64 b #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)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 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))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(approx (+ (* a 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) #s(approx (+ 1 a) #s(literal 1 binary64))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 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:
| 9.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.9% | 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 (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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))))))) |
#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(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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))))) |
#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)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))))) |
#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 b #s(approx (* (* b b) (+ 1/6 (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b))) (/.f64 #s(literal 2 binary64) b))))))) |
#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 b (*.f64 b (fma.f64 b #s(literal 1/6 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 (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.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))) #s(approx (/ 1 (+ 1 (exp b))) (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)))) |
#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 (fma.f64 b #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)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 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))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(approx (+ (* a 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(approx (+ (* a 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #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) #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))))) |
5 calls:
| 8.0ms | a |
| 8.0ms | b |
| 7.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 7.0ms | (exp.f64 b) |
| 6.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.1% | 2 | (exp.f64 a) |
| 52.6% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 59.6% | 2 | a |
| 62.7% | 2 | (exp.f64 b) |
| 62.8% | 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 (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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))))))) |
#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(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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))))) |
#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)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))))) |
#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 b #s(approx (* (* b b) (+ 1/6 (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b))) (/.f64 #s(literal 2 binary64) b))))))) |
#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 b (*.f64 b (fma.f64 b #s(literal 1/6 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 (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.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))) #s(approx (/ 1 (+ 1 (exp b))) (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)))) |
#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 (fma.f64 b #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)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 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))))) |
| Outputs |
|---|
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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:
| 8.0ms | b |
| 8.0ms | a |
| 6.0ms | (exp.f64 b) |
| 6.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.0% | 1 | (exp.f64 a) |
| 49.0% | 1 | a |
| 53.0% | 2 | (exp.f64 b) |
| 53.0% | 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 (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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))))))) |
#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(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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))))) |
#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)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))))) |
#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 b #s(approx (* (* b b) (+ 1/6 (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b))) (/.f64 #s(literal 2 binary64) b))))))) |
#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 b (*.f64 b (fma.f64 b #s(literal 1/6 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 (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.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))) #s(approx (/ 1 (+ 1 (exp b))) (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)))) |
#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 (fma.f64 b #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)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
2 calls:
| 7.0ms | b |
| 6.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.8% | 2 | b |
| 52.8% | 2 | (exp.f64 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 (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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))))))) |
#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(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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))))) |
#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)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))))) |
#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 b #s(approx (* (* b b) (+ 1/6 (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b))) (/.f64 #s(literal 2 binary64) b))))))) |
#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 b (*.f64 b (fma.f64 b #s(literal 1/6 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 (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.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))) #s(approx (/ 1 (+ 1 (exp b))) (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)))) |
#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 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))) |
#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 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
2 calls:
| 7.0ms | b |
| 6.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.7% | 2 | b |
| 52.7% | 2 | (exp.f64 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 (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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))))))) |
#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(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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))))) |
#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)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))))) |
#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 b #s(approx (* (* b b) (+ 1/6 (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b))) (/.f64 #s(literal 2 binary64) b))))))) |
#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 b (*.f64 b (fma.f64 b #s(literal 1/6 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 (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.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))) #s(approx (/ 1 (+ 1 (exp b))) (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)))) |
| Outputs |
|---|
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))) |
#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))))) |
2 calls:
| 7.0ms | b |
| 5.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.7% | 2 | b |
| 52.7% | 2 | (exp.f64 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 (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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))))))) |
#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(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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))))) |
#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)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))))) |
#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 b #s(approx (* (* b b) (+ 1/6 (/ (/ (+ (/ 2 b) (+ (* b 1/2) 1)) b) b))) (/.f64 #s(literal 2 binary64) b))))))) |
#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 b (*.f64 b (fma.f64 b #s(literal 1/6 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 (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)))))) |
| Outputs |
|---|
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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))))))) |
2 calls:
| 6.0ms | b |
| 5.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.7% | 2 | b |
| 52.7% | 2 | (exp.f64 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 (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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))))))) |
#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(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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))))) |
3 calls:
| 5.0ms | b |
| 4.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 4.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.6% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 50.9% | 2 | b |
| 50.9% | 2 | (exp.f64 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 (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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))))))) |
#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(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))) |
#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))))) |
2 calls:
| 4.0ms | b |
| 4.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.7% | 2 | b |
| 50.7% | 2 | (exp.f64 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 (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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))))))) |
#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(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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))))))) |
2 calls:
| 4.0ms | b |
| 4.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.7% | 2 | b |
| 50.7% | 2 | (exp.f64 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 (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))) |
5 calls:
| 4.0ms | a |
| 3.0ms | b |
| 3.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 3.0ms | (exp.f64 b) |
| 3.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.5% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 38.5% | 1 | a |
| 38.5% | 1 | (exp.f64 a) |
| 38.5% | 1 | b |
| 38.5% | 1 | (exp.f64 b) |
Compiled 24 to 16 computations (33.3% saved)
Total -22.4b remaining (-56.1%)
Threshold costs -22.4b (-56.1%)
| 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 (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 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 | a |
| 3.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 3.0ms | b |
| 2.0ms | (exp.f64 b) |
| 2.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.5% | 1 | a |
| 37.5% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 37.5% | 1 | (exp.f64 a) |
| 37.5% | 1 | b |
| 37.5% | 1 | (exp.f64 b) |
Compiled 24 to 16 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9998519508292131 | 0.9999996902081681 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9998519508292131 | 0.9999996902081681 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | -30622319.92999447 | -6884675.553265686 |
| 5.0ms | 96× | 0 | valid |
Compiled 139 to 95 computations (31.7% saved)
ival-exp: 2.0ms (58.9% of total)ival-div: 1.0ms (29.4% of total)ival-add: 1.0ms (29.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | -6.464319905407009e+53 | -1.5166199737258642e+50 |
| 10.0ms | -1.386071777923107e+103 | -2.1417671655956323e+102 |
| 10.0ms | 224× | 0 | valid |
| 2.0ms | 55× | 0 | exit |
Compiled 941 to 343 computations (63.5% saved)
ival-exp: 4.0ms (59.7% of total)ival-div: 2.0ms (29.8% of total)ival-add: 1.0ms (14.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -6.464319905407009e+53 | -1.5166199737258642e+50 |
| 1.0ms | -1.386071777923107e+103 | -2.1417671655956323e+102 |
Compiled 1 109 to 407 computations (63.3% saved)
| 3× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 1.3787160736103108e+102 | 1.396653677710873e+108 |
| 14.0ms | 171176203823.5008 | 4.605855966019919e+23 |
| 14.0ms | -783611044.7257497 | -1630.6122312828747 |
| 18.0ms | 352× | 0 | valid |
Compiled 1 402 to 643 computations (54.1% saved)
ival-exp: 6.0ms (58.5% of total)ival-div: 2.0ms (19.5% of total)ival-add: 2.0ms (19.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1.3787160736103108e+102 | 1.396653677710873e+108 |
| 1.0ms | -783611044.7257497 | -1630.6122312828747 |
| 4.0ms | 96× | 0 | valid |
Compiled 967 to 461 computations (52.3% saved)
ival-div: 1.0ms (43.1% of total)ival-exp: 1.0ms (43.1% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 1.3787160736103108e+102 | 1.396653677710873e+108 |
| 4.0ms | 64× | 0 | valid |
Compiled 346 to 191 computations (44.8% saved)
ival-exp: 1.0ms (64.4% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.3787160736103108e+102 | 1.396653677710873e+108 |
Compiled 328 to 191 computations (41.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 171176203823.5008 | 4.605855966019919e+23 |
Compiled 373 to 211 computations (43.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 3.3757551991929836e-19 | 1.346199303893673e-13 |
| 7.0ms | 144× | 0 | valid |
Compiled 301 to 173 computations (42.5% saved)
ival-exp: 2.0ms (52.1% of total)ival-div: 1.0ms (26% of total)ival-add: 1.0ms (26% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 1.0000000000001346 |
Compiled 13 to 11 computations (15.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 1.0000000000001346 |
Compiled 13 to 11 computations (15.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 1.0000000000001346 |
Compiled 13 to 11 computations (15.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0208793826626614 | +inf |
Compiled 13 to 11 computations (15.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 1.0000000000001346 |
Compiled 13 to 11 computations (15.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 1.0000000000001346 |
Compiled 13 to 11 computations (15.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0208793826626614 | +inf |
Compiled 13 to 11 computations (15.4% saved)
| 1× | egg-herbie |
| 28× | *-commutative_binary64 |
| 26× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 187 | 1291 |
| 1 | 217 | 1291 |
| 2 | 222 | 1291 |
| 3 | 225 | 1291 |
| 4 | 226 | 1291 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(if (<=.f64 (exp.f64 a) #s(literal 4503149267407759/4503599627370496 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #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 (exp.f64 a) #s(literal 4503149267407759/4503599627370496 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 a #s(literal -10000000 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 -10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 a #s(literal -4399999999999999837249374588699575806050811116519424 binary64)) (*.f64 (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))))) (-.f64 #s(approx (exp 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))) #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 -10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 a #s(literal -4399999999999999837249374588699575806050811116519424 binary64)) (*.f64 (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64))))) (-.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (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 1 binary64))))))) |
(if (<=.f64 b #s(literal -500000000 binary64)) (/.f64 #s(approx (exp 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))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 449999999999999979028480 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (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 1 binary64))))) (if (<=.f64 b #s(literal 1999999999999999954099026530490673256893685439848300012259991949463986904361579822606522588963023093760 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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) 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)) #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 -500000000 binary64)) (/.f64 #s(approx (exp 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))) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 5800000000000000488541222450656255139219497959086120161124165150130208823228552602008286773659486388224 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (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 1 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 4400000000000000147679476571972802242857232041076680077200057687494629909827464056314098201985338572800 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(approx (+ (* a 1/6) 1/2) (*.f64 a #s(literal 1/6 binary64))) #s(literal 1 binary64)) #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) #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 4400000000000000147679476571972802242857232041076680077200057687494629909827464056314098201985338572800 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp 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))) #s(approx (exp b) #s(literal 1 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 449999999999999979028480 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(approx (+ (* a 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #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) #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)))))) |
(if (<=.f64 b #s(literal 2028240960365167/1267650600228229401496703205376 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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 (exp.f64 b) #s(literal 1 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) |
(if (<=.f64 (exp.f64 b) #s(literal 1 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))) #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 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))) |
(if (<=.f64 (exp.f64 b) #s(literal 1 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))) #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)))))) |
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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 (exp.f64 b) #s(literal 1 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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)))))) |
(if (<=.f64 (exp.f64 b) #s(literal 1 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))) #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 (exp.f64 b) #s(literal 2 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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)))))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(if (<=.f64 (exp.f64 a) #s(literal 4503149267407759/4503599627370496 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #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 (exp.f64 a) #s(literal 4503149267407759/4503599627370496 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 a #s(literal -10000000 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 -10000000 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #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))))) |
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(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) (/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (+.f64 a #s(literal 1 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 (exp.f64 b) #s(literal 1 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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)))))) |
(if (<=.f64 (exp.f64 b) #s(literal 1 binary64)) (/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (+.f64 a #s(literal 1 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)))))) |
(if (<=.f64 (exp.f64 b) #s(literal 1 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))) #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 (exp.f64 b) #s(literal 1 binary64)) (/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))) #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 (exp.f64 b) #s(literal 2 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 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 (exp.f64 b) #s(literal 2 binary64)) (/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (+.f64 a #s(literal 1 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)))))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
| 19 012× | lower-fma.f64 |
| 19 012× | lower-fma.f32 |
| 18 438× | lower-fma.f64 |
| 18 438× | lower-fma.f32 |
| 13 720× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 266 |
| 0 | 61 | 266 |
| 1 | 282 | 266 |
| 2 | 2096 | 266 |
| 0 | 8342 | 266 |
| 0 | 303 | 4520 |
| 1 | 872 | 4046 |
| 2 | 2600 | 3900 |
| 0 | 8539 | 3707 |
| 0 | 185 | 3762 |
| 1 | 534 | 3679 |
| 2 | 1523 | 3588 |
| 3 | 6398 | 3576 |
| 0 | 8182 | 3398 |
| 0 | 165 | 2374 |
| 1 | 449 | 2327 |
| 2 | 1317 | 2266 |
| 3 | 4787 | 2186 |
| 0 | 8143 | 2054 |
| 0 | 120 | 740 |
| 1 | 332 | 725 |
| 2 | 963 | 708 |
| 3 | 3702 | 677 |
| 0 | 8342 | 640 |
| 0 | 54 | 417 |
| 0 | 83 | 417 |
| 1 | 370 | 409 |
| 2 | 3010 | 407 |
| 0 | 9262 | 391 |
| 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 2 315 to 1 047 computations (54.8% saved)
Compiled 1 632 to 280 computations (82.8% saved)
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