
Time bar (total: 8.5s)
| 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)
| 867.0ms | 8 256× | 0 | valid |
| 377.0ms | 2 942× | 0 | exit |
ival-exp: 311.0ms (58.1% of total)ival-add: 110.0ms (20.6% of total)ival-div: 102.0ms (19.1% of total)ival-true: 9.0ms (1.7% of total)ival-assert: 4.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 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))) | o/o | 1 | 0 |
| ↳ | (exp.f64 a) | overflow | 1 | |
| ↳ | (+.f64 (exp.f64 a) (exp.f64 b)) | overflow | 77 | |
| ↳ | (exp.f64 a) | overflow | 1 | |
| ↳ | (exp.f64 b) | overflow | 77 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 0 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 54.0ms | 512× | 0 | valid |
Compiled 52 to 22 computations (57.7% saved)
ival-exp: 7.0ms (50.9% of total)ival-div: 3.0ms (21.8% of total)ival-add: 2.0ms (14.5% 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 |
|---|---|---|
| ▶ | 99.6% | (/.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 | 0.00390625 | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| accuracy | 0.25390487397081396 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 38.0ms | 256× | 0 | valid |
Compiled 21 to 8 computations (61.9% saved)
ival-exp: 28.0ms (88.9% of total)ival-div: 2.0ms (6.3% of total)ival-add: 1.0ms (3.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))> |
#<alt (exp.f64 a)> |
#<alt (+.f64 (exp.f64 a) (exp.f64 b))> |
#<alt (exp.f64 b)> |
| Outputs |
|---|
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))> |
#<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))))> |
#<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))))> |
#<alt (+ 1 (exp a))> |
#<alt (+ 1 (+ b (exp a)))> |
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))> |
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))> |
#<alt 1> |
#<alt (+ 1 b)> |
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))> |
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<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))))> |
#<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))))> |
#<alt 1> |
#<alt (+ 1 a)> |
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))> |
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (+ a (exp b)))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b)) |
| 1.0ms | b | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b)) |
| 1.0ms | b | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b)) |
| 1.0ms | a | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b)) |
| 1.0ms | b | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (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 | 964 | 708 |
| 3 | 3689 | 677 |
| 0 | 8345 | 640 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (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)))) |
(+ 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))))))) |
1 |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 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 b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(exp b) |
(exp b) |
(exp b) |
(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 b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (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)))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 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 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 a) |
(exp a) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (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 a) |
(exp a) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
| Outputs |
|---|
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+ (* -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 (exp.f64 a) #s(literal 1 binary64)))) |
(+ (* 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 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 b #s(literal -1/2 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(+ (* 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 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 b #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #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 (exp.f64 a) #s(literal 1 binary64))))) |
(+ 1 (exp a)) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(+ 1 (+ b (exp a))) |
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) b)) |
(+ 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))) |
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 a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (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 a #s(literal 1 binary64)) (/.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 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (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 (/.f64 #s(literal 1/2 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 3 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)))) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 a #s(literal 1 binary64)) |
(+ 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)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (+ a (exp b))) |
(+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+.f64 (exp.f64 b) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(+.f64 #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)) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (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))))))) |
(+.f64 (*.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) (*.f64 (neg.f64 (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))) |
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a) #s(literal -1 binary64))) |
(exp.f64 (+.f64 a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a)) |
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) (neg.f64 a))) |
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))) |
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 (neg.f64 a))) (/.f64 (/.f64 (exp.f64 b) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 (neg.f64 a)))) |
(-.f64 (/.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))))) (exp.f64 (neg.f64 a))) (/.f64 (/.f64 (exp.f64 (+.f64 a b)) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (neg.f64 a)))) |
(fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (*.f64 (neg.f64 (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))) |
(fma.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))))))) |
(fma.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))))))) |
(fma.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))))) |
(fma.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)))) |
(fma.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)))) |
(neg.f64 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (exp.f64 a)) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.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 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 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 (exp.f64 a) (+.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)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))) (*.f64 (exp.f64 a) (-.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 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 (+.f64 a a)) (+.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 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (*.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (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 (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 #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (*.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 a #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (*.f64 (/.f64 (exp.f64 a) (-.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 #s(literal -1 binary64) (*.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (exp.f64 (neg.f64 a)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (exp.f64 (neg.f64 a)))) |
(/.f64 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))) |
(/.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) |
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) |
(/.f64 (*.f64 (exp.f64 a) (+.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)))) (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 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)))))) |
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(*.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 1 163 computations (89.6% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 409 | 4 | 413 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 410 | 4 | 414 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 69.9% | (/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) |
| ▶ | 60.9% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
| ▶ | 82.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
| ▶ | 57.9% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
Compiled 66 to 39 computations (40.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) | |
| cost-diff | 0 | (exp.f64 a) | |
| cost-diff | 0 | (/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) | |
| cost-diff | 6208 | (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) | |
| 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 | (exp.f64 b) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (exp.f64 b)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) | |
| cost-diff | 0 | (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) | |
| cost-diff | 0 | (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
| 7 006× | lower-fma.f32 |
| 7 004× | lower-fma.f64 |
| 3 058× | lower-*.f32 |
| 3 052× | lower-*.f64 |
| 2 804× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 223 |
| 0 | 62 | 223 |
| 1 | 88 | 220 |
| 2 | 128 | 220 |
| 3 | 215 | 220 |
| 4 | 367 | 220 |
| 5 | 706 | 220 |
| 6 | 1443 | 220 |
| 7 | 2542 | 220 |
| 8 | 3911 | 220 |
| 9 | 5458 | 220 |
| 10 | 6229 | 220 |
| 11 | 6485 | 220 |
| 12 | 6678 | 220 |
| 13 | 6887 | 220 |
| 14 | 7051 | 220 |
| 15 | 7343 | 220 |
| 16 | 7771 | 220 |
| 0 | 8600 | 218 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) |
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) |
b |
(-.f64 #s(literal -1 binary64) (exp.f64 a)) |
#s(literal -1 binary64) |
(exp.f64 a) |
a |
#s(literal 1 binary64) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+.f64 (exp.f64 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)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(exp.f64 b) |
b |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
(exp.f64 a) |
a |
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp b) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) |
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) |
(exp.f64 a) |
a |
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) |
(exp.f64 (+.f64 b b)) |
(+.f64 b b) |
b |
(exp.f64 (+.f64 a b)) |
(+.f64 a b) |
(exp.f64 (*.f64 a #s(literal 3 binary64))) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) |
(exp.f64 (*.f64 b #s(literal 3 binary64))) |
(*.f64 b #s(literal 3 binary64)) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (*.f64 (exp.f64 a) (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (exp.f64 a) (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) |
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) |
b |
(-.f64 #s(literal -1 binary64) (exp.f64 a)) |
#s(literal -1 binary64) |
(exp.f64 a) |
a |
#s(literal 1 binary64) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+.f64 (exp.f64 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)))) |
#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) (-.f64 #s(literal -1 binary64) (exp.f64 b))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(exp.f64 b) |
b |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
(exp.f64 a) |
a |
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp b) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) |
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (+.f64 b (+.f64 a b)))) (exp.f64 (fma.f64 a #s(literal 2 binary64) b))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) |
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) |
(-.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (+.f64 b (+.f64 a b)))) (exp.f64 (fma.f64 a #s(literal 2 binary64) b))) |
(exp.f64 a) |
a |
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) |
(exp.f64 (+.f64 b b)) |
(+.f64 b b) |
b |
(exp.f64 (+.f64 a b)) |
(+.f64 a b) |
(exp.f64 (*.f64 a #s(literal 3 binary64))) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) |
(exp.f64 (*.f64 b #s(literal 3 binary64))) |
(*.f64 b #s(literal 3 binary64)) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) | |
| accuracy | 0.014003759768442016 | (/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) | |
| accuracy | 0.02529583371471249 | (exp.f64 (*.f64 b #s(literal 3 binary64))) | |
| accuracy | 18.506698351562385 | (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) | |
| accuracy | 0 | (exp.f64 a) | |
| accuracy | 0.00390625 | (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) | |
| accuracy | 0.0078125 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) | |
| accuracy | 13.692205092685809 | #s(approx (exp b) #s(literal 1 binary64)) | |
| accuracy | 0 | (exp.f64 b) | |
| accuracy | 0.0078125 | (+.f64 #s(literal 1 binary64) (exp.f64 b)) | |
| accuracy | 0.01171875 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) | |
| accuracy | 11.008211853628106 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) | |
| accuracy | 0 | (exp.f64 a) | |
| accuracy | 0.00390625 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) | |
| accuracy | 13.016378110184752 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
| 32.0ms | 69× | 1 | valid |
| 21.0ms | 103× | 0 | valid |
| 16.0ms | 77× | 0 | exit |
| 6.0ms | 7× | 2 | valid |
Compiled 197 to 32 computations (83.8% saved)
ival-exp: 17.0ms (31.4% of total)ival-add: 11.0ms (20.3% of total)ival-div: 10.0ms (18.5% of total)ival-mult: 6.0ms (11.1% of total)adjust: 5.0ms (9.2% of total)ival-sub: 3.0ms (5.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))> |
#<alt (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))> |
#<alt (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))> |
#<alt (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))> |
#<alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))> |
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 b))> |
#<alt (exp.f64 b)> |
#<alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))> |
#<alt (exp.f64 a)> |
#<alt (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))> |
#<alt #s(approx (exp b) #s(literal 1 binary64))> |
#<alt (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))> |
#<alt (/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))> |
#<alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))> |
#<alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))> |
#<alt (exp.f64 (*.f64 b #s(literal 3 binary64)))> |
| Outputs |
|---|
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))> |
#<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))))> |
#<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))))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))> |
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))> |
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ b (+ 1 (exp a)))))> |
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#<alt (- (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))> |
#<alt (- (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (* 9/2 (/ 1 (+ 1 (exp (* 3 b)))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))) (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2)))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b))))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))> |
#<alt (- (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (+ (* 9/2 (/ 1 (+ 1 (exp (* 3 b))))) (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/6 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/6 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (* 9/2 (/ 1 (+ 1 (exp (* 3 b)))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (* 9/2 (/ 1 (+ 1 (exp (* 3 b)))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))) (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))))) (+ 1 (exp (* 3 b))))) (+ (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (* 9/2 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))))))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))) (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2)))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b))))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))> |
#<alt (- (exp (* 2 b)) (exp b))> |
#<alt (- (+ (exp (* 2 b)) (* -1 (* a (exp b)))) (exp b))> |
#<alt (- (+ (exp (* 2 b)) (* a (- (* -1/2 (* a (exp b))) (exp b)))) (exp b))> |
#<alt (- (+ (exp (* 2 b)) (* a (- (* a (- (* -1/6 (* a (exp b))) (* 1/2 (exp b)))) (exp b)))) (exp b))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/4 a))> |
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))> |
#<alt (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (+ 1 (* -1 (/ b (+ 1 (exp a)))))> |
#<alt (+ 1 (* -1 (/ b (+ 1 (exp a)))))> |
#<alt (+ 1 (* -1 (/ b (+ 1 (exp a)))))> |
#<alt (+ 1 (* -1 (/ b (+ 1 (exp a)))))> |
#<alt (* -1 (/ b (+ 1 (exp a))))> |
#<alt (* -1 (/ b (+ 1 (exp a))))> |
#<alt (* -1 (/ b (+ 1 (exp a))))> |
#<alt (* -1 (/ b (+ 1 (exp a))))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))> |
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))> |
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))> |
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))> |
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))> |
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))> |
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))> |
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))> |
#<alt (- (exp (* 2 b)) (exp (+ a b)))> |
#<alt (- (exp (* 2 b)) (exp (+ a b)))> |
#<alt (- (exp (* 2 b)) (exp (+ a b)))> |
#<alt (- (exp (* 2 b)) (exp (+ a b)))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (+ 1 (* -1 (/ b (+ 1 (exp a)))))> |
#<alt (+ 1 (* -1 (/ b (+ 1 (exp a)))))> |
#<alt (+ 1 (* -1 (/ b (+ 1 (exp a)))))> |
#<alt (+ 1 (* -1 (/ b (+ 1 (exp a)))))> |
#<alt (* -1 (/ b (+ 1 (exp a))))> |
#<alt (* -1 (/ b (+ 1 (exp a))))> |
#<alt (* -1 (/ b (+ 1 (exp a))))> |
#<alt (* -1 (/ b (+ 1 (exp a))))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))> |
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))> |
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))> |
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))> |
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))> |
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))> |
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))> |
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))> |
#<alt (- (exp (* 2 b)) (exp (- b (* -1 a))))> |
#<alt (- (exp (* 2 b)) (exp (- b (* -1 a))))> |
#<alt (- (exp (* 2 b)) (exp (- b (* -1 a))))> |
#<alt (- (exp (* 2 b)) (exp (- b (* -1 a))))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | a | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (/ (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (+ (exp (* a 3)) (exp (* b 3)))) (- (exp (+ b b)) (exp (+ a b))) (/ (exp a) (+ (exp a) 1)) (exp (* b 3))) |
| 6.0ms | a | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (/ (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (+ (exp (* a 3)) (exp (* b 3)))) (- (exp (+ b b)) (exp (+ a b))) (/ (exp a) (+ (exp a) 1)) (exp (* b 3))) |
| 5.0ms | b | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (/ (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (+ (exp (* a 3)) (exp (* b 3)))) (- (exp (+ b b)) (exp (+ a b))) (/ (exp a) (+ (exp a) 1)) (exp (* b 3))) |
| 5.0ms | a | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (/ (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (+ (exp (* a 3)) (exp (* b 3)))) (- (exp (+ b b)) (exp (+ a b))) (/ (exp a) (+ (exp a) 1)) (exp (* b 3))) |
| 5.0ms | b | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (/ (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (+ (exp (* a 3)) (exp (* b 3)))) (- (exp (+ b b)) (exp (+ a b))) (/ (exp a) (+ (exp a) 1)) (exp (* b 3))) |
| 1× | egg-herbie |
| 8 762× | lower-fma.f64 |
| 8 762× | lower-fma.f32 |
| 4 832× | lower-+.f64 |
| 4 832× | lower-+.f32 |
| 4 284× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 500 | 5829 |
| 1 | 1526 | 5532 |
| 2 | 4803 | 5349 |
| 0 | 8381 | 5075 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (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) (+ 1 (exp a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
1 |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(* -1 (/ b (+ 1 (exp a)))) |
(* -1 (/ b (+ 1 (exp a)))) |
(* -1 (/ b (+ 1 (exp a)))) |
(* -1 (/ b (+ 1 (exp a)))) |
(/ (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)))) |
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))) |
2 |
(+ 2 b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
1 |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 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)))) |
(+ 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))))))) |
1 |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) |
(+ (exp (* 3 a)) (+ (* b (* (exp a) (- 2 (exp a)))) (* (exp a) (- 1 (exp a))))) |
(+ (exp (* 3 a)) (+ (* b (+ (* b (* (exp a) (- 2 (* 1/2 (exp a))))) (* (exp a) (- 2 (exp a))))) (* (exp a) (- 1 (exp a))))) |
(+ (exp (* 3 a)) (+ (* b (+ (* b (+ (* b (* (exp a) (- 4/3 (* 1/6 (exp a))))) (* (exp a) (- 2 (* 1/2 (exp a)))))) (* (exp a) (- 2 (exp a))))) (* (exp a) (- 1 (exp a))))) |
(/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (+ 1 (exp (* 3 a)))) |
(+ (* b (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a)))))) |
(+ (* b (- (+ (* b (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a))))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a)))))) |
(+ (* b (- (+ (* b (- (+ (* b (- (/ (* (exp a) (- 4/3 (* 1/6 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ 1 (exp (* 3 a))))) (+ (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))) (* 9/2 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))))))) (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a))))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a))))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a)))))) |
(- 1 (exp a)) |
(- (+ 1 (* b (- 2 (exp a)))) (exp a)) |
(- (+ 1 (* b (- (+ 2 (* b (- 2 (* 1/2 (exp a))))) (exp a)))) (exp a)) |
(- (+ 1 (* b (- (+ 2 (* b (- (+ 2 (* b (- 4/3 (* 1/6 (exp a))))) (* 1/2 (exp a))))) (exp a)))) (exp a)) |
1 |
(+ 1 (* 3 b)) |
(+ 1 (* b (+ 3 (* 9/2 b)))) |
(+ 1 (* b (+ 3 (* b (+ 9/2 (* 9/2 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 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(* -1 (/ b (+ 1 (exp a)))) |
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a))))) |
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a))))) |
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a))))) |
(* -1 (/ b (+ 1 (exp a)))) |
(* -1 (/ b (+ 1 (exp a)))) |
(* -1 (/ b (+ 1 (exp a)))) |
(* -1 (/ b (+ 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))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(exp b) |
(exp b) |
(exp b) |
(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 b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) |
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) |
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) |
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) |
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b)))) |
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b)))) |
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b)))) |
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b)))) |
(- (exp (* 2 b)) (exp (+ a b))) |
(- (exp (* 2 b)) (exp (+ a b))) |
(- (exp (* 2 b)) (exp (+ a b))) |
(- (exp (* 2 b)) (exp (+ a b))) |
(exp (* 3 b)) |
(exp (* 3 b)) |
(exp (* 3 b)) |
(exp (* 3 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 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(* -1 (/ b (+ 1 (exp a)))) |
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b)))) |
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b)))) |
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b)))) |
(* -1 (/ b (+ 1 (exp a)))) |
(* -1 (/ b (+ 1 (exp a)))) |
(* -1 (/ b (+ 1 (exp a)))) |
(* -1 (/ b (+ 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))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(exp b) |
(exp b) |
(exp b) |
(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 b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) |
(+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) |
(+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) |
(+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) |
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b)))) |
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b)))) |
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b)))) |
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b)))) |
(- (exp (neg (* -2 b))) (exp (- a (* -1 b)))) |
(- (exp (neg (* -2 b))) (exp (- a (* -1 b)))) |
(- (exp (neg (* -2 b))) (exp (- a (* -1 b)))) |
(- (exp (neg (* -2 b))) (exp (- a (* -1 b)))) |
(exp (* 3 b)) |
(exp (* 3 b)) |
(exp (* 3 b)) |
(exp (* 3 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)))) |
(* 1/2 (+ 1 (* -1/2 b))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ 1 (* -1/2 b)) |
(+ 1 (+ (* -1/2 b) (* 1/4 (* a b)))) |
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b))))))) |
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))))))))) |
(* -1/2 b) |
(+ (* -1/2 b) (* 1/4 (* a b))) |
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b)))))) |
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))))))) |
(/ 1 (+ 1 (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)))) |
(/ 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)))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 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))))))) |
(- (+ 1 (exp (* 2 b))) (exp b)) |
(- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 3 (+ (exp (* 2 b)) (* -1 (exp b)))) (exp b))))) (exp b)) |
(- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 3 (+ (exp (* 2 b)) (+ (* -1 (exp b)) (* a (+ 9/2 (+ (* -1 (exp b)) (+ (* -1/2 (exp b)) (* 1/2 (- (exp (* 2 b)) (exp b)))))))))) (exp b))))) (exp b)) |
(- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 3 (+ (exp (* 2 b)) (+ (* -1 (exp b)) (* a (+ 9/2 (+ (* -1 (exp b)) (+ (* -1/2 (exp b)) (+ (* 1/2 (- (exp (* 2 b)) (exp b))) (* a (+ 9/2 (+ (* -1 (exp b)) (+ (* -1/6 (exp b)) (* 1/6 (- (exp (* 2 b)) (exp b))))))))))))))) (exp b))))) (exp b)) |
(/ (- (+ 1 (exp (* 2 b))) (exp b)) (+ 1 (exp (* 3 b)))) |
(- (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b))))) |
(- (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (* 9/2 (/ 1 (+ 1 (exp (* 3 b)))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))) (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2)))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b))))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b))))) |
(- (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (+ (* 9/2 (/ 1 (+ 1 (exp (* 3 b))))) (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/6 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/6 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (* 9/2 (/ 1 (+ 1 (exp (* 3 b)))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (* 9/2 (/ 1 (+ 1 (exp (* 3 b)))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))) (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))))) (+ 1 (exp (* 3 b))))) (+ (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (* 9/2 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))))))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))) (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2)))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b))))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b))))) |
(- (exp (* 2 b)) (exp b)) |
(- (+ (exp (* 2 b)) (* -1 (* a (exp b)))) (exp b)) |
(- (+ (exp (* 2 b)) (* a (- (* -1/2 (* a (exp b))) (exp b)))) (exp b)) |
(- (+ (exp (* 2 b)) (* a (- (* a (- (* -1/6 (* a (exp b))) (* 1/2 (exp b)))) (exp b)))) (exp b)) |
1/2 |
(+ 1/2 (* 1/4 a)) |
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) |
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))) |
(/ (exp a) (+ (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 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(* -1 (/ b (+ 1 (exp a)))) |
(* -1 (/ b (+ 1 (exp a)))) |
(* -1 (/ b (+ 1 (exp a)))) |
(* -1 (/ b (+ 1 (exp a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) |
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) |
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) |
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) |
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b)))) |
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b)))) |
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b)))) |
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b)))) |
(- (exp (* 2 b)) (exp (+ a b))) |
(- (exp (* 2 b)) (exp (+ a b))) |
(- (exp (* 2 b)) (exp (+ a b))) |
(- (exp (* 2 b)) (exp (+ a b))) |
(/ (exp a) (+ 1 (exp a))) |
(/ (exp a) (+ 1 (exp a))) |
(/ (exp a) (+ 1 (exp a))) |
(/ (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) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(* -1 (/ b (+ 1 (exp a)))) |
(* -1 (/ b (+ 1 (exp a)))) |
(* -1 (/ b (+ 1 (exp a)))) |
(* -1 (/ b (+ 1 (exp a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) |
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) |
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) |
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) |
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b)))) |
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b)))) |
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b)))) |
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b)))) |
(- (exp (* 2 b)) (exp (- b (* -1 a)))) |
(- (exp (* 2 b)) (exp (- b (* -1 a)))) |
(- (exp (* 2 b)) (exp (- b (* -1 a)))) |
(- (exp (* 2 b)) (exp (- b (* -1 a)))) |
(/ (exp a) (+ 1 (exp a))) |
(/ (exp a) (+ 1 (exp a))) |
(/ (exp a) (+ 1 (exp a))) |
(/ (exp a) (+ 1 (exp a))) |
| Outputs |
|---|
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ (* 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 (neg.f64 (fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ (* 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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#s(literal 1/2 binary64) |
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#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) |
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) |
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) |
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) |
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) |
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) |
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) |
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) |
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b)))) |
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) |
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b)))) |
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) |
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b)))) |
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) |
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b)))) |
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) |
(- (exp (* 2 b)) (exp (+ a b))) |
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) |
(- (exp (* 2 b)) (exp (+ a b))) |
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) |
(- (exp (* 2 b)) (exp (+ a b))) |
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) |
(- (exp (* 2 b)) (exp (+ a b))) |
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(* -1 (/ b (+ 1 (exp a)))) |
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(* -1 (/ b (+ 1 (exp a)))) |
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(* -1 (/ b (+ 1 (exp a)))) |
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(* -1 (/ b (+ 1 (exp a)))) |
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) |
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) |
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) |
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) |
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) |
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) |
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) |
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) |
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b)))) |
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) |
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b)))) |
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) |
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b)))) |
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) |
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b)))) |
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) |
(- (exp (* 2 b)) (exp (- b (* -1 a)))) |
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) |
(- (exp (* 2 b)) (exp (- b (* -1 a)))) |
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) |
(- (exp (* 2 b)) (exp (- b (* -1 a)))) |
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) |
(- (exp (* 2 b)) (exp (- b (* -1 a)))) |
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
| 4 850× | lower-fma.f32 |
| 4 848× | lower-fma.f64 |
| 4 452× | lower-/.f32 |
| 4 442× | lower-/.f64 |
| 4 272× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 167 |
| 0 | 62 | 169 |
| 1 | 233 | 166 |
| 2 | 1738 | 160 |
| 0 | 8629 | 160 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) |
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(exp.f64 b) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
(exp.f64 a) |
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp b) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) |
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(exp.f64 (*.f64 b #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (*.f64 (exp.f64 a) (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) |
(+.f64 (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1 binary64))) (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1 binary64))) (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))))) |
(fma.f64 (exp.f64 a) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) |
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (exp.f64 a) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 a a))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (exp.f64 a) (expm1.f64 (+.f64 a a))) (expm1.f64 a) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (exp.f64 a) (expm1.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (exp.f64 a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
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(/.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)))) (-.f64 (exp.f64 (+.f64 b b)) (neg.f64 (exp.f64 (+.f64 a b))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (+.f64 (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64))) (exp.f64 (fma.f64 b #s(literal 3 binary64) (+.f64 a b))))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64))) (*.f64 (exp.f64 (+.f64 b b)) (neg.f64 (exp.f64 (+.f64 a b)))))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 a b)) (exp.f64 (+.f64 b b))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64))))) (neg.f64 (-.f64 (exp.f64 (+.f64 b b)) (neg.f64 (exp.f64 (+.f64 a b)))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 b b)) (+.f64 (exp.f64 (+.f64 b b)) (+.f64 (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64))) (exp.f64 (fma.f64 b #s(literal 3 binary64) (+.f64 a b)))))) (*.f64 (+.f64 (exp.f64 (+.f64 b b)) (+.f64 (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64))) (exp.f64 (fma.f64 b #s(literal 3 binary64) (+.f64 a b))))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64))))) (*.f64 (+.f64 (exp.f64 (+.f64 b b)) (+.f64 (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64))) (exp.f64 (fma.f64 b #s(literal 3 binary64) (+.f64 a b))))) (+.f64 (exp.f64 (+.f64 b b)) (+.f64 (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64))) (exp.f64 (fma.f64 b #s(literal 3 binary64) (+.f64 a b))))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 b b)) (+.f64 (exp.f64 (+.f64 a b)) (exp.f64 (+.f64 b b)))) (*.f64 (+.f64 (exp.f64 (+.f64 a b)) (exp.f64 (+.f64 b b))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64))))) (*.f64 (+.f64 (exp.f64 (+.f64 a b)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 (+.f64 a b)) (exp.f64 (+.f64 b b))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (+.f64 (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64))) (exp.f64 (fma.f64 b #s(literal 3 binary64) (+.f64 a b)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 a b)) (exp.f64 (+.f64 b b)))))) |
(/.f64 (+.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64)))) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64))) (-.f64 (exp.f64 (+.f64 b b)) (*.f64 (neg.f64 (exp.f64 (+.f64 a b))) (exp.f64 (+.f64 b b)))))) |
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 b b)) (+.f64 (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64))) (exp.f64 (fma.f64 b #s(literal 3 binary64) (+.f64 a b))))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 a b)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))) |
(*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (+.f64 (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64))) (exp.f64 (fma.f64 b #s(literal 3 binary64) (+.f64 a b))))))) |
(*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a b)) (exp.f64 (+.f64 b b))))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 a b)) (exp.f64 (+.f64 b b))) (exp.f64 b)) (/.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (+.f64 (exp.f64 a) (exp.f64 b)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(neg.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) #s(literal 1 binary64)))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)))))) |
(/.f64 (neg.f64 (exp.f64 a)) (-.f64 #s(literal -1 binary64) (exp.f64 a))) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 a)))) (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))))) |
(pow.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (exp.f64 a) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (exp.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 a a))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))) |
(*.f64 (/.f64 (exp.f64 a) (expm1.f64 (+.f64 a a))) (expm1.f64 a)) |
(*.f64 (/.f64 (exp.f64 a) (expm1.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))) |
(*.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))) |
(*.f64 (/.f64 (exp.f64 a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))) |
(exp.f64 (+.f64 b b)) |
(exp.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) b)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) b)) |
(exp.f64 (*.f64 b #s(literal 6 binary64))) |
(exp.f64 (*.f64 b #s(literal 9 binary64))) |
(exp.f64 (*.f64 (+.f64 b b) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (+.f64 b b) #s(literal 3/2 binary64))) |
(exp.f64 (fma.f64 (+.f64 b b) #s(literal 3 binary64) (*.f64 (+.f64 b b) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (+.f64 b b) #s(literal 3 binary64) (+.f64 b b))) |
(exp.f64 (fma.f64 b #s(literal 3 binary64) (*.f64 (+.f64 b b) #s(literal 3 binary64)))) |
(/.f64 (exp.f64 (/.f64 (*.f64 b b) #s(literal 0 binary64))) (exp.f64 (/.f64 (*.f64 b b) #s(literal 0 binary64)))) |
(pow.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(literal 0 binary64))) |
(pow.f64 (exp.f64 b) #s(literal 3 binary64)) |
(pow.f64 (exp.f64 b) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 b) #s(literal 9 binary64)) |
(pow.f64 (exp.f64 b) #s(literal 6 binary64)) |
(pow.f64 (exp.f64 b) #s(literal 9/2 binary64)) |
(pow.f64 (exp.f64 b) #s(literal 4 binary64)) |
(pow.f64 (exp.f64 b) #s(literal 18 binary64)) |
(pow.f64 (exp.f64 b) #s(literal 27 binary64)) |
(pow.f64 (exp.f64 b) #s(literal 12 binary64)) |
(pow.f64 (exp.f64 (+.f64 b b)) #s(literal 3 binary64)) |
(pow.f64 (exp.f64 (+.f64 b b)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (+.f64 b b)) #s(literal 9 binary64)) |
(pow.f64 (exp.f64 (+.f64 b b)) #s(literal 6 binary64)) |
(pow.f64 (exp.f64 (+.f64 b b)) #s(literal 3/2 binary64)) |
(pow.f64 (exp.f64 (+.f64 b b)) #s(literal 4 binary64)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) b) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (+.f64 b b)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 b #s(literal 3/2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) b) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 b b)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 3/2 binary64))) |
(pow.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) b) |
(pow.f64 (*.f64 (exp.f64 #s(literal 3 binary64)) (exp.f64 #s(literal 3 binary64))) b) |
(pow.f64 (exp.f64 (*.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64)))) |
(*.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) |
(*.f64 (exp.f64 b) (exp.f64 b)) |
(*.f64 (exp.f64 b) (exp.f64 (+.f64 b b))) |
(*.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) |
(*.f64 (exp.f64 (+.f64 b b)) (exp.f64 b)) |
(*.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b b))) |
(*.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 b #s(literal 3/2 binary64)))) |
(*.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) (exp.f64 (+.f64 b b))) |
(*.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) (exp.f64 (*.f64 b #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) #s(literal 3 binary64))) |
Compiled 24 426 to 1 907 computations (92.2% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 964 | 8 | 972 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 0 | 0 |
| Total | 967 | 9 | 976 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 60.4% | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
| ✓ | 82.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
| 52.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) | |
| 47.1% | #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))))) | |
| ▶ | 33.3% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
| ▶ | 27.9% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
| 33.1% | #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)))) | |
| ▶ | 36.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
| ▶ | 33.5% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
Compiled 183 to 114 computations (37.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 b) | |
| cost-diff | 0 | (+.f64 (exp.f64 b) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) | |
| cost-diff | 64 | (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) | |
| cost-diff | 960 | (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 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) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 #s(approx (exp a) #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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
| 15 412× | lower-fma.f32 |
| 15 404× | lower-fma.f64 |
| 2 842× | lower-+.f32 |
| 2 836× | lower-+.f64 |
| 2 246× | lower-*.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 238 |
| 0 | 60 | 238 |
| 1 | 94 | 238 |
| 2 | 175 | 222 |
| 3 | 467 | 206 |
| 4 | 979 | 206 |
| 5 | 1192 | 206 |
| 6 | 1611 | 206 |
| 7 | 2062 | 206 |
| 8 | 2536 | 206 |
| 9 | 3097 | 206 |
| 10 | 4748 | 206 |
| 11 | 6097 | 206 |
| 12 | 7542 | 206 |
| 0 | 8117 | 206 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(exp.f64 a) |
a |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
a |
(+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) |
(fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
b |
#s(literal -1/8 binary64) |
#s(literal 1/2 binary64) |
(fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) |
#s(literal 1/8 binary64) |
#s(literal -1/4 binary64) |
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(exp.f64 b) |
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)))) |
(exp.f64 a) |
a |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(literal 1/4 binary64) (+.f64 (neg.f64 b) a) #s(literal 1/2 binary64)))) |
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(literal 1/4 binary64) (+.f64 (neg.f64 b) a) #s(literal 1/2 binary64))) |
(fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/4 binary64) (+.f64 (neg.f64 b) a) #s(literal 1/2 binary64)) |
a |
(+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) |
#s(literal 1/4 binary64) |
(fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
b |
#s(literal -1/8 binary64) |
#s(literal 1/2 binary64) |
(fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) |
#s(literal 1/8 binary64) |
#s(literal -1/4 binary64) |
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(exp.f64 b) |
b |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (exp.f64 b) | |
| accuracy | 0.0078125 | (+.f64 (exp.f64 b) #s(literal 1 binary64)) | |
| accuracy | 46.16839168952465 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) | |
| accuracy | 0 | (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) | |
| accuracy | 16.22192256517126 | #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) | |
| accuracy | 26.941490574804664 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) | |
| accuracy | 31.25177329087212 | (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) | |
| accuracy | 0 | (+.f64 b #s(literal 2 binary64)) | |
| accuracy | 0.01171875 | (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) | |
| accuracy | 11.008211853628106 | #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 | 32.091710220083336 | #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) | |
| accuracy | 11.008211853628106 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) | |
| accuracy | 30.191617662541365 | #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)) | |
| accuracy | 0.00390625 | (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) | |
| accuracy | 0.25390487397081396 | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) | |
| accuracy | 16.85561284495911 | #s(approx (exp a) #s(literal 1 binary64)) | |
| accuracy | 32.34064259268582 | #s(approx (exp b) #s(literal 1 binary64)) |
| 48.0ms | 122× | 1 | valid |
| 25.0ms | 134× | 0 | valid |
Compiled 153 to 34 computations (77.8% saved)
ival-add: 18.0ms (34.7% of total)adjust: 9.0ms (17.4% of total)ival-div: 8.0ms (15.4% of total)ival-mult: 8.0ms (15.4% of total)ival-exp: 6.0ms (11.6% of total)ival-sub: 2.0ms (3.9% of total)exact: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))> |
#<alt (exp.f64 a)> |
#<alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))> |
#<alt #s(approx (exp a) #s(literal 1 binary64))> |
#<alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))> |
#<alt #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))> |
#<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)))))> |
#<alt (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))> |
#<alt #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))> |
#<alt (+.f64 b #s(literal 2 binary64))> |
#<alt (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)))> |
#<alt (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))> |
#<alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))> |
#<alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))> |
#<alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))> |
#<alt (+.f64 (exp.f64 b) #s(literal 1 binary64))> |
#<alt (exp.f64 b)> |
#<alt #s(approx (exp b) #s(literal 1 binary64))> |
| Outputs |
|---|
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))> |
#<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))))> |
#<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))))> |
#<alt (+ 1 (exp a))> |
#<alt (+ 1 (+ b (exp a)))> |
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))> |
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))> |
#<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))))> |
#<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))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/4 b))> |
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))> |
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))> |
#<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))))> |
#<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))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/4 b))> |
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))> |
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))> |
#<alt 2> |
#<alt (+ 2 b)> |
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))> |
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))> |
#<alt 2> |
#<alt (+ 2 b)> |
#<alt (+ 2 b)> |
#<alt (+ 2 b)> |
#<alt 1/4> |
#<alt 1/4> |
#<alt 1/4> |
#<alt 1/4> |
#<alt (+ 1/2 (* 1/4 a))> |
#<alt (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))> |
#<alt (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))> |
#<alt (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))> |
#<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))))> |
#<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))))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))> |
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))> |
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))> |
#<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))))> |
#<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))))> |
#<alt 2> |
#<alt (+ 2 b)> |
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))> |
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))> |
#<alt 1> |
#<alt (+ 1 b)> |
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))> |
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))> |
#<alt 1> |
#<alt (+ 1 b)> |
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))> |
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt b> |
#<alt (* b (+ 1 (* 2 (/ 1 b))))> |
#<alt (* b (+ 1 (* 2 (/ 1 b))))> |
#<alt (* b (+ 1 (* 2 (/ 1 b))))> |
#<alt 1/4> |
#<alt 1/4> |
#<alt 1/4> |
#<alt 1/4> |
#<alt (* -1/4 b)> |
#<alt (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))> |
#<alt (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))> |
#<alt (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))> |
#<alt (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))> |
#<alt (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))> |
#<alt (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt b> |
#<alt (* b (+ 1 (* 2 (/ 1 b))))> |
#<alt (* b (+ 1 (* 2 (/ 1 b))))> |
#<alt (* b (+ 1 (* 2 (/ 1 b))))> |
#<alt 1/4> |
#<alt 1/4> |
#<alt 1/4> |
#<alt 1/4> |
#<alt (* -1/4 b)> |
#<alt (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))> |
#<alt (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))> |
#<alt (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))> |
#<alt (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))> |
#<alt (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))> |
#<alt (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<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))))> |
#<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))))> |
#<alt 1> |
#<alt (+ 1 a)> |
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))> |
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (+ a (exp b)))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))> |
#<alt 1> |
#<alt (+ 1 a)> |
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))> |
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<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))))> |
#<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))))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<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))))> |
#<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))))> |
#<alt (+ 1/2 (* -1/4 b))> |
#<alt (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))))> |
#<alt (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))))> |
#<alt (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<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))))> |
#<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))))> |
#<alt (* 1/2 (+ 1 (* -1/2 b)))> |
#<alt (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))> |
#<alt (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))> |
#<alt (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<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))))> |
#<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))))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))> |
#<alt (* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))> |
#<alt (* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))> |
#<alt (* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))> |
#<alt (* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))> |
#<alt (* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))> |
#<alt (* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | b | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (+ b 2) (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4)) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (+ (exp b) 1) (exp b) (exp b)) |
| 2.0ms | a | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (+ b 2) (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4)) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (+ (exp b) 1) (exp b) (exp b)) |
| 2.0ms | a | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (+ b 2) (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4)) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (+ (exp b) 1) (exp b) (exp b)) |
| 2.0ms | b | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (+ b 2) (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4)) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (+ (exp b) 1) (exp b) (exp b)) |
| 1.0ms | b | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (+ b 2) (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4)) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (+ (exp b) 1) (exp b) (exp b)) |
| 1× | egg-herbie |
| 14 312× | lower-fma.f64 |
| 14 312× | lower-fma.f32 |
| 4 876× | lower-*.f64 |
| 4 876× | lower-*.f32 |
| 3 330× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 247 | 4022 |
| 1 | 761 | 3837 |
| 2 | 2568 | 3614 |
| 0 | 8228 | 3471 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (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)))) |
(+ 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) (+ 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)))) |
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))) |
(/ (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)))) |
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))) |
2 |
(+ 2 b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
2 |
(+ 2 b) |
(+ 2 b) |
(+ 2 b) |
1/4 |
1/4 |
1/4 |
1/4 |
(+ 1/2 (* 1/4 a)) |
(+ 1/2 (+ (* -1/4 b) (* 1/4 a))) |
(+ 1/2 (+ (* -1/4 b) (* 1/4 a))) |
(+ 1/2 (+ (* -1/4 b) (* 1/4 a))) |
(/ (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) (+ 1 (exp a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(/ (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)))) |
2 |
(+ 2 b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
1 |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
1 |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 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 b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (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 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 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))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
b |
(* b (+ 1 (* 2 (/ 1 b)))) |
(* b (+ 1 (* 2 (/ 1 b)))) |
(* b (+ 1 (* 2 (/ 1 b)))) |
1/4 |
1/4 |
1/4 |
1/4 |
(* -1/4 b) |
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) |
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) |
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) |
(/ (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 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(/ (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 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(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 b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (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 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 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))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
b |
(* b (+ 1 (* 2 (/ 1 b)))) |
(* b (+ 1 (* 2 (/ 1 b)))) |
(* b (+ 1 (* 2 (/ 1 b)))) |
1/4 |
1/4 |
1/4 |
1/4 |
(* -1/4 b) |
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b))))) |
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b))))) |
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b))))) |
(/ (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 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(/ (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 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp 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)))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 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))))))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 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)))) |
(/ 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)))) |
(+ 1/2 (* -1/4 b)) |
(+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))))) |
(+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))))) |
(+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 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)))) |
(* 1/2 (+ 1 (* -1/2 b))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(/ 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 a) |
(exp a) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(exp a) |
(exp a) |
(exp a) |
(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))) |
(* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) |
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a))))))) |
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a))))))) |
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 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) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (exp a) (+ (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) |
(exp a) |
(exp a) |
(exp a) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(exp a) |
(exp a) |
(exp a) |
(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))) |
(* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) |
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a))))) |
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a))))) |
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) 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) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
| Outputs |
|---|
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 b (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ (* 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 (neg.f64 (fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 b (fma.f64 b (neg.f64 (fma.f64 b (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/6 binary64))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ 1 (exp a)) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(+ 1 (+ b (exp a))) |
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) b)) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+ 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) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 b (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ (* 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 (neg.f64 (fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ (* 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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1/2 |
#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))) |
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(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 b (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ (* 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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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)) |
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)) |
2 |
#s(literal 2 binary64) |
(+ 2 b) |
(+.f64 b #s(literal 2 binary64)) |
(+ 2 b) |
(+.f64 b #s(literal 2 binary64)) |
(+ 2 b) |
(+.f64 b #s(literal 2 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
1/4 |
#s(literal 1/4 binary64) |
1/4 |
#s(literal 1/4 binary64) |
1/4 |
#s(literal 1/4 binary64) |
(+ 1/2 (* 1/4 a)) |
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/4 b) (* 1/4 a))) |
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/4 b) (* 1/4 a))) |
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/4 b) (* 1/4 a))) |
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 b (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ (* 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 (neg.f64 (fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 b (fma.f64 b (neg.f64 (fma.f64 b (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/6 binary64))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 b (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 b (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 b (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 b (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ (* 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 (neg.f64 (fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 b (fma.f64 b (neg.f64 (fma.f64 b (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/6 binary64))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
2 |
#s(literal 2 binary64) |
(+ 2 b) |
(+.f64 b #s(literal 2 binary64)) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 2 (* b (+ 1 (* 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 |
#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)) |
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 a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (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))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (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 (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)) |
b |
(* b (+ 1 (* 2 (/ 1 b)))) |
(+.f64 b #s(literal 2 binary64)) |
(* b (+ 1 (* 2 (/ 1 b)))) |
(+.f64 b #s(literal 2 binary64)) |
(* b (+ 1 (* 2 (/ 1 b)))) |
(+.f64 b #s(literal 2 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
1/4 |
#s(literal 1/4 binary64) |
1/4 |
#s(literal 1/4 binary64) |
1/4 |
#s(literal 1/4 binary64) |
(* -1/4 b) |
(*.f64 b #s(literal -1/4 binary64)) |
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) |
(*.f64 b (fma.f64 a (/.f64 #s(literal 1/4 binary64) b) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)))) |
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) |
(*.f64 b (fma.f64 a (/.f64 #s(literal 1/4 binary64) b) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)))) |
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) |
(*.f64 b (fma.f64 a (/.f64 #s(literal 1/4 binary64) b) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
(/.f64 (*.f64 (exp.f64 a) (neg.f64 b)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(fma.f64 b (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(fma.f64 b (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(fma.f64 b (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (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)) |
(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) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (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))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (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 (exp b)) |
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(+.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)) |
b |
(* b (+ 1 (* 2 (/ 1 b)))) |
(+.f64 b #s(literal 2 binary64)) |
(* b (+ 1 (* 2 (/ 1 b)))) |
(+.f64 b #s(literal 2 binary64)) |
(* b (+ 1 (* 2 (/ 1 b)))) |
(+.f64 b #s(literal 2 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
1/4 |
#s(literal 1/4 binary64) |
1/4 |
#s(literal 1/4 binary64) |
1/4 |
#s(literal 1/4 binary64) |
(* -1/4 b) |
(*.f64 b #s(literal -1/4 binary64)) |
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b))))) |
(-.f64 (*.f64 b #s(literal -1/4 binary64)) (*.f64 (fma.f64 a #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b))))) |
(-.f64 (*.f64 b #s(literal -1/4 binary64)) (*.f64 (fma.f64 a #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b))))) |
(-.f64 (*.f64 b #s(literal -1/4 binary64)) (*.f64 (fma.f64 a #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
(/.f64 (*.f64 (exp.f64 a) (neg.f64 b)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(fma.f64 b (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(fma.f64 b (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(fma.f64 b (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (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)) |
(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)))) |
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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)))) |
(fma.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (+.f64 (/.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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1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 a #s(literal 1 binary64)) |
(+ 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)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (+ a (exp b))) |
(+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) |
(+ 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))) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 a #s(literal 1 binary64)) |
(+ 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)) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 (neg.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (+.f64 (/.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 (+.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)))) (fma.f64 a (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (/.f64 #s(literal 3/2 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))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 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)))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 (neg.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (+.f64 (/.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 (+.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)))) (fma.f64 a (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (/.f64 #s(literal 3/2 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))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 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)))) |
(+ 1/2 (* -1/4 b)) |
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))))) |
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))))) |
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))))) |
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #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))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 (neg.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (+.f64 (/.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 (+.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)))) (fma.f64 a (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (/.f64 #s(literal 3/2 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))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 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)))) |
(* 1/2 (+ 1 (* -1/2 b))) |
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal -1/16 binary64))) (fma.f64 b #s(literal -1/48 binary64) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 (neg.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (+.f64 (/.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 (+.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)))) (fma.f64 a (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (/.f64 #s(literal 3/2 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))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 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 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) |
(*.f64 a #s(literal 1/4 binary64)) |
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a))))))) |
(*.f64 a (fma.f64 b (/.f64 #s(literal -1/4 binary64) a) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)))) |
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a))))))) |
(*.f64 a (fma.f64 b (/.f64 #s(literal -1/4 binary64) a) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)))) |
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a))))))) |
(*.f64 a (fma.f64 b (/.f64 #s(literal -1/4 binary64) a) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) |
(*.f64 a #s(literal 1/4 binary64)) |
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a))))) |
(*.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) a))) |
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a))))) |
(*.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) a))) |
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a))))) |
(*.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 5 864× | lower-*.f64 |
| 5 864× | lower-*.f32 |
| 4 486× | lower-/.f32 |
| 4 482× | lower-/.f64 |
| 3 484× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 212 |
| 0 | 60 | 212 |
| 1 | 278 | 212 |
| 2 | 2384 | 212 |
| 0 | 9186 | 208 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(exp.f64 a) |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp a) #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)) |
(+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) |
(fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(exp.f64 b) |
#s(approx (exp b) #s(literal 1 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 #s(approx (exp a) #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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) |
(/.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) (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 #s(approx (exp a) #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) #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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))) |
(pow.f64 (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp a) #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) #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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp a) #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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (exp.f64 a) (fma.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.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)))))) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (exp.f64 a) (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(exp.f64 a) |
(*.f64 (exp.f64 a) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) |
(+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) (fma.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.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))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))) |
(/.f64 (fma.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.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))))) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.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))))) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)) (-.f64 (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.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)))))) (neg.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (neg.f64 (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #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))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #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))))) (*.f64 (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) |
(pow.f64 (/.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) (fma.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.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)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.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))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))) |
(*.f64 (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) |
#s(approx (exp a) #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))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (/.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)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(pow.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (neg.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 #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))) |
(pow.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)) |
(+.f64 b #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) b) |
(-.f64 (/.f64 (*.f64 b b) (+.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 b #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b #s(literal 2 binary64))) (fma.f64 b (*.f64 b b) #s(literal 8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b b #s(literal -4 binary64)))) |
(/.f64 (fma.f64 b (*.f64 b b) #s(literal 8 binary64)) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b #s(literal 2 binary64)))) |
(/.f64 (fma.f64 b (*.f64 b b) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 b b) (*.f64 b #s(literal 2 binary64))))) |
(/.f64 (fma.f64 b b #s(literal -4 binary64)) (+.f64 b #s(literal -2 binary64))) |
(/.f64 (neg.f64 (fma.f64 b (*.f64 b b) #s(literal 8 binary64))) (neg.f64 (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 b b #s(literal -4 binary64))) (neg.f64 (+.f64 b #s(literal -2 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 b b)) (-.f64 #s(literal 2 binary64) b)) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (+.f64 b #s(literal -2 binary64))) (*.f64 (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (+.f64 b #s(literal -2 binary64)) (+.f64 b #s(literal -2 binary64)))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b #s(literal 2 binary64))) (fma.f64 b (*.f64 b b) #s(literal 8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b b #s(literal -4 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 b (*.f64 b b) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b #s(literal 2 binary64))))) |
(*.f64 (fma.f64 b b #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal -2 binary64)))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -1/8 binary64) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)))) |
(+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) |
(+.f64 #s(literal -1/4 binary64) (fma.f64 b #s(literal 1/8 binary64) (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) |
(+.f64 (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 b #s(literal 1/8 binary64)) (+.f64 #s(literal -1/4 binary64) (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 b #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))) |
(+.f64 (fma.f64 b #s(literal 1/8 binary64) (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64))) #s(literal -1/4 binary64)) |
(+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64))) (*.f64 b #s(literal -1/8 binary64))) |
(+.f64 (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 b #s(literal 1/8 binary64))) |
(+.f64 (+.f64 (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (*.f64 b #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (*.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (-.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)))) (/.f64 (*.f64 (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (-.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))))) |
(fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))) |
(fma.f64 b #s(literal 1/8 binary64) (+.f64 #s(literal -1/4 binary64) (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))) |
(fma.f64 #s(literal -1/8 binary64) b (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))) |
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#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 #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 (neg.f64 (*.f64 (log1p.f64 (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))) |
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(fma.f64 #s(literal 1 binary64) (exp.f64 b) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 b) #s(literal 1 binary64) #s(literal 1 binary64)) |
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(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64)) |
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(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 b b))) (neg.f64 (expm1.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 (-.f64 (*.f64 (exp.f64 (+.f64 b b)) (expm1.f64 b)) (*.f64 (expm1.f64 b) #s(literal 1 binary64))) (*.f64 (expm1.f64 b) (expm1.f64 b))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.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))) |
(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)) |
(pow.f64 (/.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))))) #s(literal -1 binary64)) |
(pow.f64 (/.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))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (+.f64 b b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) #s(literal -1 binary64)) |
(*.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) (+.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 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))) |
(*.f64 (expm1.f64 (+.f64 b b)) (/.f64 #s(literal 1 binary64) (expm1.f64 b))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(exp.f64 b) |
(*.f64 #s(literal 1 binary64) (exp.f64 b)) |
(*.f64 (exp.f64 b) #s(literal 1 binary64)) |
#s(approx (exp b) #s(literal 1 binary64)) |
Compiled 26 152 to 1 675 computations (93.6% saved)
15 alts after pruning (10 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 723 | 7 | 730 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 724 | 15 | 739 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 60.4% | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
| 35.9% | (/.f64 #s(approx (exp a) (fma.f64 a (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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) | |
| ▶ | 35.9% | (/.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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
| ▶ | 36.0% | (/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
| ✓ | 82.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
| ▶ | 52.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
| 47.1% | #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))))) | |
| ✓ | 33.3% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
| ✓ | 27.9% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
| 33.1% | #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)))) | |
| ✓ | 36.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
| 37.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+.f64 (*.f64 a (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 a (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))) | |
| ▶ | 36.5% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) |
| 3.9% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) | |
| ▶ | 3.9% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
Compiled 300 to 170 computations (43.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp a) (fma.f64 a (fma.f64 a #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 a #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) | |
| cost-diff | 0 | (*.f64 a #s(literal 1/4 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))) | |
| cost-diff | 0 | #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) | |
| cost-diff | 0 | (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
| 9 126× | lower-fma.f32 |
| 9 114× | lower-fma.f64 |
| 2 608× | lower-*.f32 |
| 2 606× | lower-*.f64 |
| 1 930× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 428 |
| 0 | 72 | 428 |
| 1 | 136 | 416 |
| 2 | 275 | 392 |
| 3 | 726 | 362 |
| 4 | 1411 | 362 |
| 5 | 1834 | 362 |
| 6 | 2279 | 362 |
| 7 | 2707 | 362 |
| 8 | 3282 | 362 |
| 9 | 3862 | 362 |
| 10 | 4533 | 362 |
| 11 | 5999 | 362 |
| 12 | 7540 | 356 |
| 0 | 8028 | 350 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
b |
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))) |
#s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))) |
(*.f64 a #s(literal 1/4 binary64)) |
a |
#s(literal 1/4 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
a |
#s(literal 1/4 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (exp a) (+.f64 a #s(literal 1 binary64))) |
(+.f64 a #s(literal 1 binary64)) |
a |
#s(literal 1 binary64) |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp a) #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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
a |
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) |
#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))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
b |
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))) |
#s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))) |
(*.f64 a #s(literal 1/4 binary64)) |
a |
#s(literal 1/4 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
a |
#s(literal 1/4 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (exp a) (+.f64 a #s(literal 1 binary64))) |
(+.f64 a #s(literal 1 binary64)) |
a |
#s(literal 1 binary64) |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp a) #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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
a |
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(approx (exp b) #s(literal 1 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.25390487397081396 | (/.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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) | |
| accuracy | 16.129016047333867 | #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| accuracy | 16.85561284495911 | #s(approx (exp a) #s(literal 1 binary64)) | |
| accuracy | 32.34064259268575 | #s(approx (exp b) #s(literal 1 binary64)) | |
| accuracy | 0.25390487397081396 | (/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) | |
| accuracy | 16.27694038978758 | #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) | |
| accuracy | 16.85561284495911 | #s(approx (exp a) #s(literal 1 binary64)) | |
| accuracy | 32.34064259268575 | #s(approx (exp b) #s(literal 1 binary64)) | |
| accuracy | 0 | (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 16.22192256517126 | #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) | |
| accuracy | 26.941490574804664 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) | |
| accuracy | 29.457819624579482 | #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) | |
| accuracy | 0 | (*.f64 a #s(literal 1/4 binary64)) | |
| accuracy | 16.22192256517126 | #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))) | |
| accuracy | 26.941490574804664 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) | |
| accuracy | 48.851443916589545 | #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))) | |
| accuracy | 0.078125 | (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.1640625 | (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 11.008211853628106 | #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 | 19.78582223287739 | #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))) |
| 91.0ms | 238× | 0 | valid |
| 10.0ms | 18× | 1 | valid |
Compiled 211 to 47 computations (77.7% saved)
ival-add: 34.0ms (43.2% of total)ival-mult: 25.0ms (31.8% of total)ival-div: 7.0ms (8.9% of total)ival-exp: 4.0ms (5.1% of total)const: 4.0ms (5.1% of total)adjust: 2.0ms (2.5% of total)ival-sub: 1.0ms (1.3% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<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)))))> |
#<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))))> |
#<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)))> |
#<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))> |
#<alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))))> |
#<alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))> |
#<alt #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))> |
#<alt (*.f64 a #s(literal 1/4 binary64))> |
#<alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))> |
#<alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))> |
#<alt #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))> |
#<alt (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))> |
#<alt (/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))> |
#<alt #s(approx (exp a) (+.f64 a #s(literal 1 binary64)))> |
#<alt (+.f64 a #s(literal 1 binary64))> |
#<alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))> |
#<alt (/.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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))> |
#<alt #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))> |
#<alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))> |
#<alt (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))> |
#<alt #s(approx (exp b) #s(literal 1 binary64))> |
#<alt #s(approx (exp a) #s(literal 1 binary64))> |
| Outputs |
|---|
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))> |
#<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))))> |
#<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))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/4 b))> |
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))> |
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))> |
#<alt 2> |
#<alt (+ 2 b)> |
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))> |
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))> |
#<alt 2> |
#<alt (+ 2 b)> |
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))> |
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))> |
#<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))))> |
#<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))))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))> |
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))> |
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))> |
#<alt (+ 1/2 (* 1/4 a))> |
#<alt (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))> |
#<alt (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))> |
#<alt (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))> |
#<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))))> |
#<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))))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))> |
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))> |
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))> |
#<alt (+ 1/2 (* 1/4 a))> |
#<alt (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))> |
#<alt (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))> |
#<alt (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))> |
#<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))))> |
#<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))))> |
#<alt (+ 1 (exp a))> |
#<alt (+ 1 (+ b (exp a)))> |
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))> |
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))> |
#<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))))> |
#<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))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/6 b))> |
#<alt (+ 1/2 (* 1/6 b))> |
#<alt (+ 1/2 (* 1/6 b))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 b))> |
#<alt (+ 1 (* b (+ 1/2 (* 1/6 b))))> |
#<alt (+ 1 (* b (+ 1/2 (* 1/6 b))))> |
#<alt 1> |
#<alt (+ 1 b)> |
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))> |
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (* 1/6 (pow b 3))> |
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))> |
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))> |
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))> |
#<alt (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))> |
#<alt (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))> |
#<alt (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))> |
#<alt (* -1/4 b)> |
#<alt (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))> |
#<alt (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))> |
#<alt (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))> |
#<alt (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))> |
#<alt (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))> |
#<alt (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))> |
#<alt (* -1/4 b)> |
#<alt (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))> |
#<alt (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))> |
#<alt (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (* 1/6 b)> |
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))> |
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))> |
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))> |
#<alt (* 1/6 (pow b 2))> |
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))> |
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (* 1/6 (pow b 3))> |
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))> |
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))> |
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))> |
#<alt (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))> |
#<alt (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))> |
#<alt (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))> |
#<alt (* -1/4 b)> |
#<alt (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))> |
#<alt (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))> |
#<alt (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))> |
#<alt (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))> |
#<alt (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))> |
#<alt (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))> |
#<alt (* -1/4 b)> |
#<alt (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))> |
#<alt (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))> |
#<alt (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (* 1/6 b)> |
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))> |
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))> |
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))> |
#<alt (* 1/6 (pow b 2))> |
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))> |
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<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))))> |
#<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))))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<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))))> |
#<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))))> |
#<alt (* 1/2 (+ 1 (* -1/2 b)))> |
#<alt (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))> |
#<alt (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))> |
#<alt (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))> |
#<alt (+ 1/2 (* -1/4 b))> |
#<alt (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))))> |
#<alt (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))))> |
#<alt (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))))> |
#<alt (* 1/4 a)> |
#<alt (* 1/4 a)> |
#<alt (* 1/4 a)> |
#<alt (* 1/4 a)> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<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))))> |
#<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))))> |
#<alt (* 1/2 (+ 1 (* -1/2 b)))> |
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#<alt (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))> |
#<alt (+ 1/2 (* -1/4 b))> |
#<alt (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))))> |
#<alt (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))))> |
#<alt (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/4 a))> |
#<alt (+ 1/2 (* 1/4 a))> |
#<alt (+ 1/2 (* 1/4 a))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<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))))> |
#<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))))> |
#<alt 1> |
#<alt (+ 1 a)> |
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))> |
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))> |
#<alt 1> |
#<alt (+ 1 a)> |
#<alt (+ 1 a)> |
#<alt (+ 1 a)> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (+ a (exp b)))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<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))))> |
#<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))))> |
#<alt 1> |
#<alt (+ 1 a)> |
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))> |
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))> |
#<alt 1> |
#<alt (+ 1 a)> |
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))> |
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 a))> |
#<alt (+ 1 (* 1/2 a))> |
#<alt (+ 1 (* 1/2 a))> |
#<alt 1> |
#<alt (+ 1 a)> |
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))> |
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))> |
#<alt (* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))> |
#<alt (* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))> |
#<alt (* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))> |
#<alt (* 1/4 a)> |
#<alt (* 1/4 a)> |
#<alt (* 1/4 a)> |
#<alt (* 1/4 a)> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))> |
#<alt (* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))> |
#<alt (* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))> |
#<alt (* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))> |
#<alt (* 1/4 a)> |
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))> |
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))> |
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt a> |
#<alt (* a (+ 1 (/ 1 a)))> |
#<alt (* a (+ 1 (/ 1 a)))> |
#<alt (* a (+ 1 (/ 1 a)))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))> |
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))> |
#<alt (* 1/2 a)> |
#<alt (* a (+ 1/2 (/ 1 a)))> |
#<alt (* a (+ 1/2 (/ 1 a)))> |
#<alt (* a (+ 1/2 (/ 1 a)))> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))> |
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#<alt (* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))> |
#<alt (* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))> |
#<alt (* 1/4 a)> |
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#<alt (* 1/4 a)> |
#<alt (* 1/4 a)> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))> |
#<alt (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))> |
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#<alt (* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))> |
#<alt (* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))> |
#<alt (* 1/4 a)> |
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))> |
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))> |
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
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#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt a> |
#<alt (* a (+ 1 (/ 1 a)))> |
#<alt (* a (+ 1 (/ 1 a)))> |
#<alt (* a (+ 1 (/ 1 a)))> |
#<alt (+ (exp a) (exp b))> |
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#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))> |
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))> |
#<alt (* 1/2 a)> |
#<alt (* a (+ 1/2 (/ 1 a)))> |
#<alt (* a (+ 1/2 (/ 1 a)))> |
#<alt (* a (+ 1/2 (/ 1 a)))> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | b | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (* a 1/4) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (+ (* a 1/4) 1/2) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ a 1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* a (+ (* a 1/2) 1)) 1) (+ (* a 1/2) 1) (+ (* b 1/6) 1/2) (+ (* b (+ (* b 1/6) 1/2)) 1) (exp b) (exp a)) |
| 3.0ms | b | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (* a 1/4) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (+ (* a 1/4) 1/2) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ a 1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* a (+ (* a 1/2) 1)) 1) (+ (* a 1/2) 1) (+ (* b 1/6) 1/2) (+ (* b (+ (* b 1/6) 1/2)) 1) (exp b) (exp a)) |
| 3.0ms | a | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (* a 1/4) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (+ (* a 1/4) 1/2) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ a 1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* a (+ (* a 1/2) 1)) 1) (+ (* a 1/2) 1) (+ (* b 1/6) 1/2) (+ (* b (+ (* b 1/6) 1/2)) 1) (exp b) (exp a)) |
| 2.0ms | a | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (* a 1/4) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (+ (* a 1/4) 1/2) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ a 1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* a (+ (* a 1/2) 1)) 1) (+ (* a 1/2) 1) (+ (* b 1/6) 1/2) (+ (* b (+ (* b 1/6) 1/2)) 1) (exp b) (exp a)) |
| 1.0ms | b | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (* a 1/4) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (+ (* a 1/4) 1/2) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ a 1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* a (+ (* a 1/2) 1)) 1) (+ (* a 1/2) 1) (+ (* b 1/6) 1/2) (+ (* b (+ (* b 1/6) 1/2)) 1) (exp b) (exp a)) |
| 1× | egg-herbie |
| 11 040× | lower-fma.f64 |
| 11 040× | lower-fma.f32 |
| 4 430× | lower-+.f64 |
| 4 430× | lower-+.f32 |
| 4 030× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 289 | 5222 |
| 1 | 906 | 4939 |
| 2 | 2998 | 4542 |
| 0 | 8558 | 4296 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (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)))) |
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))) |
2 |
(+ 2 b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
2 |
(+ 2 b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 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) (+ 1 (exp a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ 1/2 (* 1/4 a)) |
(+ 1/2 (+ (* -1/4 b) (* 1/4 a))) |
(+ 1/2 (+ (* -1/4 b) (* 1/4 a))) |
(+ 1/2 (+ (* -1/4 b) (* 1/4 a))) |
(/ (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) (+ 1 (exp a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ 1/2 (* 1/4 a)) |
(+ 1/2 (+ (* -1/4 b) (* 1/4 a))) |
(+ 1/2 (+ (* -1/4 b) (* 1/4 a))) |
(+ 1/2 (+ (* -1/4 b) (* 1/4 a))) |
(/ (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)))) |
(+ 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) (+ 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)))) |
1/2 |
(+ 1/2 (* 1/6 b)) |
(+ 1/2 (* 1/6 b)) |
(+ 1/2 (* 1/6 b)) |
1 |
(+ 1 (* 1/2 b)) |
(+ 1 (* b (+ 1/2 (* 1/6 b)))) |
(+ 1 (* b (+ 1/2 (* 1/6 b)))) |
1 |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 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 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp 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))))))) |
(/ (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 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(* -1/4 b) |
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) |
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) |
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) |
(/ (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 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(* -1/4 b) |
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) |
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) |
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) |
(/ (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 b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (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))) |
(* 1/6 b) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(* 1/6 (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))))) |
(exp b) |
(exp b) |
(exp b) |
(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 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(* 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))) |
(/ (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 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(* -1/4 b) |
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b))))) |
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b))))) |
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b))))) |
(/ (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 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(* -1/4 b) |
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b))))) |
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b))))) |
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b))))) |
(/ (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 b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (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))) |
(* 1/6 b) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(* 1/6 (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))))) |
(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)))) |
(/ 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)))) |
(* 1/2 (+ 1 (* -1/2 b))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ 1/2 (* -1/4 b)) |
(+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))))) |
(+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))))) |
(+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))))) |
(* 1/4 a) |
(* 1/4 a) |
(* 1/4 a) |
(* 1/4 a) |
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(* 1/2 (+ 1 (* -1/2 b))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ 1/2 (* -1/4 b)) |
(+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))))) |
(+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))))) |
(+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))))) |
1/2 |
(+ 1/2 (* 1/4 a)) |
(+ 1/2 (* 1/4 a)) |
(+ 1/2 (* 1/4 a)) |
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
1 |
(+ 1 a) |
(+ 1 a) |
(+ 1 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))))))) |
(/ 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)))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
1 |
(+ 1 (* 1/2 a)) |
(+ 1 (* 1/2 a)) |
(+ 1 (* 1/2 a)) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) |
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a))))))) |
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a))))))) |
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a))))))) |
(* 1/4 a) |
(* 1/4 a) |
(* 1/4 a) |
(* 1/4 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) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) |
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a))))))) |
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a))))))) |
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a))))))) |
(* 1/4 a) |
(* a (+ 1/4 (* 1/2 (/ 1 a)))) |
(* a (+ 1/4 (* 1/2 (/ 1 a)))) |
(* a (+ 1/4 (* 1/2 (/ 1 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 a) |
(exp a) |
a |
(* a (+ 1 (/ 1 a))) |
(* a (+ 1 (/ 1 a))) |
(* a (+ 1 (/ 1 a))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (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 a) |
(exp a) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(* 1/2 a) |
(* a (+ 1/2 (/ 1 a))) |
(* a (+ 1/2 (/ 1 a))) |
(* a (+ 1/2 (/ 1 a))) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) |
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a))))) |
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a))))) |
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a))))) |
(* 1/4 a) |
(* 1/4 a) |
(* 1/4 a) |
(* 1/4 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) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) |
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a))))) |
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a))))) |
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a))))) |
(* 1/4 a) |
(* a (+ 1/4 (* 1/2 (/ 1 a)))) |
(* a (+ 1/4 (* 1/2 (/ 1 a)))) |
(* a (+ 1/4 (* 1/2 (/ 1 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 a) |
(exp a) |
a |
(* a (+ 1 (/ 1 a))) |
(* a (+ 1 (/ 1 a))) |
(* a (+ 1 (/ 1 a))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (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 a) |
(exp a) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(* 1/2 a) |
(* a (+ 1/2 (/ 1 a))) |
(* a (+ 1/2 (/ 1 a))) |
(* a (+ 1/2 (/ 1 a))) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
| Outputs |
|---|
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ (* 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 (neg.f64 (fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 b (fma.f64 b (neg.f64 (fma.f64 b (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/6 binary64))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 b)) |
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) |
(fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))) |
(fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
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)) |
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)) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ (* 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 (neg.f64 (fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 b (fma.f64 b (neg.f64 (fma.f64 b (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/6 binary64))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ 1/2 (* 1/4 a)) |
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/4 b) (* 1/4 a))) |
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/4 b) (* 1/4 a))) |
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/4 b) (* 1/4 a))) |
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ (* 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 (neg.f64 (fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
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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 |
#s(literal 1 binary64) |
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(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
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(/ (exp a) (+ (exp a) (exp b))) |
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(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ 1 (+ 1 (exp b))) |
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(/ 1 (+ 1 (exp b))) |
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(/ 1 (+ 1 (exp b))) |
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(/ 1 (+ 1 (exp b))) |
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(* 1/6 (pow b 3)) |
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(/ (exp a) (+ (exp a) (exp b))) |
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(/ (exp a) (+ (exp a) (exp b))) |
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(/ (exp a) (+ (exp a) (exp b))) |
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(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
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(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
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(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
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(* -1/4 b) |
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(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) |
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(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) |
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(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) |
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(/ (exp a) (+ (exp a) (exp b))) |
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(/ (exp a) (+ (exp a) (exp b))) |
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(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
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(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
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(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
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(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(* -1/4 b) |
(*.f64 b #s(literal -1/4 binary64)) |
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) |
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(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) |
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(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) |
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(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(* 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 (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)) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
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1 |
#s(literal 1 binary64) |
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#s(literal 1 binary64) |
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(+ 1 (* 1/2 a)) |
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#s(literal 1 binary64) |
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(/ (exp a) (+ (exp a) (exp b))) |
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(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
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(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
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(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
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(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) |
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(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a))))))) |
(fma.f64 a (fma.f64 b (/.f64 #s(literal -1/4 binary64) a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a))))))) |
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(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a))))))) |
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(* 1/4 a) |
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(* 1/4 a) |
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(* 1/4 a) |
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(/ (exp a) (+ (exp a) (exp b))) |
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(/ (exp a) (+ (exp a) (exp b))) |
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(/ (exp a) (+ (exp a) (exp b))) |
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(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
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(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
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(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
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(* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) |
(*.f64 a #s(literal 1/4 binary64)) |
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a))))))) |
(fma.f64 a (fma.f64 b (/.f64 #s(literal -1/4 binary64) a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a))))))) |
(fma.f64 a (fma.f64 b (/.f64 #s(literal -1/4 binary64) a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a))))))) |
(fma.f64 a (fma.f64 b (/.f64 #s(literal -1/4 binary64) a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(* 1/4 a) |
(*.f64 a #s(literal 1/4 binary64)) |
(* a (+ 1/4 (* 1/2 (/ 1 a)))) |
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(* a (+ 1/4 (* 1/2 (/ 1 a)))) |
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(* a (+ 1/4 (* 1/2 (/ 1 a)))) |
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
a |
(* a (+ 1 (/ 1 a))) |
(+.f64 a #s(literal 1 binary64)) |
(* a (+ 1 (/ 1 a))) |
(+.f64 a #s(literal 1 binary64)) |
(* a (+ 1 (/ 1 a))) |
(+.f64 a #s(literal 1 binary64)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(* 1/2 (pow a 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) a) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* a (+ 1/2 (/ 1 a))) |
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* a (+ 1/2 (/ 1 a))) |
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* a (+ 1/2 (/ 1 a))) |
(fma.f64 a #s(literal 1/2 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 a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) |
(*.f64 a #s(literal 1/4 binary64)) |
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a))))) |
(-.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (neg.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a))))) |
(-.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (neg.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a))))) |
(-.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (neg.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(* 1/4 a) |
(*.f64 a #s(literal 1/4 binary64)) |
(* 1/4 a) |
(*.f64 a #s(literal 1/4 binary64)) |
(* 1/4 a) |
(*.f64 a #s(literal 1/4 binary64)) |
(* 1/4 a) |
(*.f64 a #s(literal 1/4 binary64)) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) |
(*.f64 a #s(literal 1/4 binary64)) |
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a))))) |
(-.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (neg.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a))))) |
(-.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (neg.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a))))) |
(-.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (neg.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(* 1/4 a) |
(*.f64 a #s(literal 1/4 binary64)) |
(* a (+ 1/4 (* 1/2 (/ 1 a)))) |
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(* a (+ 1/4 (* 1/2 (/ 1 a)))) |
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(* a (+ 1/4 (* 1/2 (/ 1 a)))) |
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
a |
(* a (+ 1 (/ 1 a))) |
(+.f64 a #s(literal 1 binary64)) |
(* a (+ 1 (/ 1 a))) |
(+.f64 a #s(literal 1 binary64)) |
(* a (+ 1 (/ 1 a))) |
(+.f64 a #s(literal 1 binary64)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(* 1/2 (pow a 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) a) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* a (+ 1/2 (/ 1 a))) |
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* a (+ 1/2 (/ 1 a))) |
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* a (+ 1/2 (/ 1 a))) |
(fma.f64 a #s(literal 1/2 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) |
| 6 144× | lower-*.f32 |
| 6 142× | lower-*.f64 |
| 4 564× | lower-fma.f32 |
| 4 552× | lower-fma.f64 |
| 3 422× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 396 |
| 0 | 72 | 396 |
| 1 | 370 | 384 |
| 2 | 3258 | 384 |
| 0 | 8916 | 366 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))) |
#s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))) |
(*.f64 a #s(literal 1/4 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (exp a) (+.f64 a #s(literal 1 binary64))) |
(+.f64 a #s(literal 1 binary64)) |
(+.f64 #s(approx (exp a) #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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 a #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)) |
#s(approx (exp b) #s(literal 1 binary64)) |
#s(approx (exp a) #s(literal 1 binary64)) |
| Outputs |
|---|
#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))))) |
(exp.f64 (*.f64 (log.f64 #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))) |
(neg.f64 (/.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)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #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) (neg.f64 #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))))) |
(pow.f64 #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)) |
(pow.f64 (neg.f64 (neg.f64 #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)) |
(pow.f64 (pow.f64 #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 -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #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)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 #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)) |
(*.f64 #s(literal 1 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 (/.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)) |
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a)))) (-.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a)) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a)))) |
(*.f64 (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) |
(+.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
(fma.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 a a) (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 a a) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 a a) (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 a #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 a a) #s(literal -1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 a a) (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 a a) #s(literal -1 binary64))) (neg.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 a a) (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 a a) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 a a) (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 a a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) |
(+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 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)) |
(/.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 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) |
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #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 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #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 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #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 b #s(literal 1/6 binary64) #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 b #s(literal 1/6 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 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 b #s(literal 1/6 binary64) #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 (*.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))))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(+.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal 1/6 binary64)))) (*.f64 b #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (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 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 b (*.f64 b #s(literal 1/6 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 b (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 b b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) |
(fma.f64 (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 b #s(literal 1/6 binary64)) b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) |
(*.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #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) #s(literal 1 binary64)) |
Compiled 12 459 to 901 computations (92.8% saved)
26 alts after pruning (17 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 691 | 13 | 704 |
| Fresh | 1 | 4 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 693 | 26 | 719 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 60.4% | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
| 35.9% | (/.f64 #s(approx (exp a) (fma.f64 a (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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) | |
| ✓ | 35.9% | (/.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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
| 35.9% | (/.f64 #s(approx (exp a) (/.f64 (fma.f64 a a #s(literal -1 binary64)) (+.f64 a #s(literal -1 binary64)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) | |
| 51.1% | (/.f64 #s(approx (exp a) (+.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)))) | |
| 48.1% | (/.f64 #s(approx (exp a) (+.f64 a #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))) #s(approx (exp b) #s(literal 1 binary64)))) | |
| 33.0% | (/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| ✓ | 36.0% | (/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
| 12.2% | (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) | |
| ✓ | 82.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
| 52.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) | |
| 47.1% | #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) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) | |
| 40.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) | |
| 36.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 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)))))) | |
| ✓ | 33.3% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
| 22.8% | #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) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))))) | |
| 34.9% | #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 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))))))))))) | |
| 23.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) | |
| 22.5% | #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 b (*.f64 b #s(literal 1/6 binary64)))))))) | |
| ✓ | 27.9% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
| 33.1% | #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)))) | |
| ✓ | 36.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
| 37.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+.f64 (*.f64 a (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 a (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))) | |
| ✓ | 36.5% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) |
| 3.9% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) | |
| ✓ | 3.9% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
Compiled 857 to 339 computations (60.4% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #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 #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #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 #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#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) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 a #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))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+.f64 (*.f64 a (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 a (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 #s(approx (exp a) (fma.f64 a (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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (/.f64 (fma.f64 a a #s(literal -1 binary64)) (+.f64 a #s(literal -1 binary64)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.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)))) |
#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 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)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))))))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (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)) (/.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 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 a) (+ (exp a) (exp b))) (+.f64 (exp.f64 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 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
5 calls:
| 18.0ms | b |
| 12.0ms | a |
| 9.0ms | (exp.f64 a) |
| 7.0ms | (exp.f64 b) |
| 7.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | a |
| 99.6% | 1 | b |
| 99.6% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 99.6% | 1 | (exp.f64 a) |
| 99.6% | 1 | (exp.f64 b) |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #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 #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #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 #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#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) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 a #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))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+.f64 (*.f64 a (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 a (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 #s(approx (exp a) (fma.f64 a (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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (/.f64 (fma.f64 a a #s(literal -1 binary64)) (+.f64 a #s(literal -1 binary64)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.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)))) |
#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 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)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))))))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (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)) (/.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 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 a) (+ (exp a) (exp b))) (+.f64 (exp.f64 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 (exp.f64 a) (+.f64 (exp.f64 a) #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)))) |
5 calls:
| 12.0ms | b |
| 10.0ms | (exp.f64 a) |
| 9.0ms | a |
| 7.0ms | (exp.f64 b) |
| 7.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | a |
| 100.0% | 3 | b |
| 82.8% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 99.4% | 2 | (exp.f64 a) |
| 100.0% | 3 | (exp.f64 b) |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #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 #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #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 #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#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) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 a #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))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+.f64 (*.f64 a (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 a (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 #s(approx (exp a) (fma.f64 a (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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (/.f64 (fma.f64 a a #s(literal -1 binary64)) (+.f64 a #s(literal -1 binary64)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.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)))) |
#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 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)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))))))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (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)) (/.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 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 a) (+ (exp a) (exp b))) (+.f64 (exp.f64 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) (+.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)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
4 calls:
| 11.0ms | a |
| 8.0ms | b |
| 7.0ms | (exp.f64 a) |
| 6.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.4% | 3 | b |
| 92.4% | 3 | (exp.f64 b) |
| 91.9% | 2 | a |
| 89.7% | 2 | (exp.f64 a) |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #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 #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #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 #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#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) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 a #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))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+.f64 (*.f64 a (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 a (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 #s(approx (exp a) (fma.f64 a (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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (/.f64 (fma.f64 a a #s(literal -1 binary64)) (+.f64 a #s(literal -1 binary64)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.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)))) |
#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 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)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))))))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (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)) (/.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 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 a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(/.f64 #s(approx (exp a) (+.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 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 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 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 #s(literal 1/6 binary64)))))))) |
4 calls:
| 9.0ms | a |
| 8.0ms | b |
| 7.0ms | (exp.f64 a) |
| 6.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.2% | 2 | (exp.f64 a) |
| 90.9% | 5 | b |
| 83.2% | 3 | (exp.f64 b) |
| 65.4% | 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 (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #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 #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #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 #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#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) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 a #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))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+.f64 (*.f64 a (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 a (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 #s(approx (exp a) (fma.f64 a (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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (/.f64 (fma.f64 a a #s(literal -1 binary64)) (+.f64 a #s(literal -1 binary64)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.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)))) |
#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 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)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))))))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (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)) (/.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 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)))))) |
| Outputs |
|---|
(/.f64 #s(approx (exp a) (+.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 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 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 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 #s(literal 1/6 binary64)))))))) |
3 calls:
| 10.0ms | b |
| 6.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 6.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.7% | 2 | (exp.f64 b) |
| 59.4% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 73.4% | 4 | b |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #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 #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #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 #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#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) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 a #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))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+.f64 (*.f64 a (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 a (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 #s(approx (exp a) (fma.f64 a (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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (/.f64 (fma.f64 a a #s(literal -1 binary64)) (+.f64 a #s(literal -1 binary64)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.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)))) |
#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 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)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))))))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (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 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 (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
1 calls:
| 7.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.2% | 4 | b |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #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 #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #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 #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#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) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 a #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))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+.f64 (*.f64 a (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 a (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 #s(approx (exp a) (fma.f64 a (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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (/.f64 (fma.f64 a a #s(literal -1 binary64)) (+.f64 a #s(literal -1 binary64)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.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)))) |
#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 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)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))))))))))) |
| Outputs |
|---|
(/.f64 #s(approx (exp a) (+.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 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #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)))))))) |
1 calls:
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.6% | 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 (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #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 #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #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 #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#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) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 a #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))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+.f64 (*.f64 a (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 a (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 #s(approx (exp a) (fma.f64 a (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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (/.f64 (fma.f64 a a #s(literal -1 binary64)) (+.f64 a #s(literal -1 binary64)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 #s(approx (exp a) (+.f64 a #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))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #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)))))))) |
2 calls:
| 6.0ms | b |
| 5.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.8% | 2 | (exp.f64 b) |
| 67.3% | 3 | b |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #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 #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #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 #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
#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) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) |
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #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)))))))) |
5 calls:
| 26.0ms | b |
| 5.0ms | a |
| 5.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 4.0ms | (exp.f64 b) |
| 4.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.3% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 52.7% | 1 | (exp.f64 a) |
| 56.5% | 2 | (exp.f64 b) |
| 52.7% | 1 | a |
| 59.2% | 3 | b |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #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 #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #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 #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 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) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) |
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64)))))))) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.2% | 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 (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #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 #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #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 #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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 (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) |
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
5 calls:
| 6.0ms | (exp.f64 b) |
| 4.0ms | a |
| 4.0ms | b |
| 3.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 3.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.1% | 1 | a |
| 47.1% | 1 | (exp.f64 a) |
| 50.5% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 50.7% | 2 | (exp.f64 b) |
| 55.1% | 3 | b |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #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 #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #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 #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
1 calls:
| 4.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.7% | 2 | b |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #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 #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) |
5 calls:
| 4.0ms | b |
| 3.0ms | a |
| 3.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 2.0ms | (exp.f64 b) |
| 2.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.5% | 1 | (exp.f64 a) |
| 36.5% | 1 | a |
| 36.5% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 36.5% | 1 | (exp.f64 b) |
| 36.5% | 1 | b |
Compiled 24 to 16 computations (33.3% saved)
Total -21.4b remaining (-52.5%)
Threshold costs -21.4b (-52.5%)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64))))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
5 calls:
| 4.0ms | a |
| 2.0ms | b |
| 1.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0ms | (exp.f64 b) |
| 1.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.2% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 36.2% | 1 | (exp.f64 a) |
| 36.2% | 1 | a |
| 36.2% | 1 | b |
| 36.2% | 1 | (exp.f64 b) |
Compiled 24 to 16 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9999999999987094 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.280555014453027e+79 | -5.2172150647717896e+79 |
Compiled 13 to 11 computations (15.4% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 2.455800338932685e+97 | 3.733905408001635e+111 |
| 13.0ms | 6.70584394456372e+42 | 2.413155369622159e+61 |
| 14.0ms | 1.5918821156502567e+30 | 1.9404745927937753e+31 |
| 19.0ms | -7433188.79598309 | -2.628218313066221e-19 |
| 33.0ms | 592× | 0 | valid |
Compiled 1 641 to 855 computations (47.9% saved)
ival-exp: 11.0ms (61.7% of total)ival-div: 4.0ms (22.4% of total)ival-add: 3.0ms (16.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.455800338932685e+97 | 3.733905408001635e+111 |
| 1.0ms | 6.70584394456372e+42 | 2.413155369622159e+61 |
| 1.0ms | 1.5918821156502567e+30 | 1.9404745927937753e+31 |
Compiled 1 311 to 657 computations (49.9% saved)
| 3× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 2.3067777322296787e+153 | 2.0344337794248738e+158 |
| 12.0ms | 1.976983045207955e+76 | 2.4338547774694705e+79 |
| 1.0ms | 1.5918821156502567e+30 | 1.9404745927937753e+31 |
| 9.0ms | 192× | 0 | valid |
Compiled 809 to 437 computations (46% saved)
ival-exp: 3.0ms (61.1% of total)ival-div: 1.0ms (20.4% of total)ival-add: 1.0ms (20.4% 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 |
|---|---|---|
| 11.0ms | 1.511854761655732e+91 | 4.4045836823895476e+95 |
| 1.0ms | 1.5918821156502567e+30 | 1.9404745927937753e+31 |
| 6.0ms | 128× | 0 | valid |
Compiled 497 to 289 computations (41.9% saved)
ival-exp: 2.0ms (64.6% of total)ival-div: 1.0ms (32.3% of total)ival-add: 1.0ms (32.3% 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 | 1.511854761655732e+91 | 4.4045836823895476e+95 |
| 1.0ms | 1.5918821156502567e+30 | 1.9404745927937753e+31 |
Compiled 479 to 277 computations (42.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.511854761655732e+91 | 4.4045836823895476e+95 |
| 15.0ms | 1939873606998791.0 | 4.68728542815624e+21 |
| 9.0ms | 144× | 0 | valid |
Compiled 503 to 298 computations (40.8% saved)
ival-exp: 5.0ms (75.3% of total)ival-div: 1.0ms (15.1% of total)ival-add: 1.0ms (15.1% 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 | 1.511854761655732e+91 | 4.4045836823895476e+95 |
| 1.0ms | 1939873606998791.0 | 4.68728542815624e+21 |
Compiled 495 to 290 computations (41.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 2.3067777322296787e+153 | 2.0344337794248738e+158 |
| 1.0ms | 1939873606998791.0 | 4.68728542815624e+21 |
| 4.0ms | 80× | 0 | valid |
Compiled 517 to 308 computations (40.4% saved)
ival-exp: 1.0ms (50.1% 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 |
|---|---|---|
| 13.0ms | -1.8536418840105825e-186 | -1.3745219117111502e-191 |
| 6.0ms | 144× | 0 | valid |
Compiled 229 to 146 computations (36.2% saved)
ival-exp: 2.0ms (57% of total)ival-div: 1.0ms (28.5% of total)ival-add: 1.0ms (28.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 14× | *-commutative_binary64 |
| 12× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 1223 |
| 1 | 173 | 1223 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(if (<=.f64 (exp.f64 a) #s(literal 0 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 -52500000000000000343071090436134028613130097131600525773066461289798096100786176 binary64)) (/.f64 #s(approx (exp a) (+.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)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(if (<=.f64 b #s(literal -29/2 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (if (<=.f64 b #s(literal 1599999999999999862930413715456 binary64)) (/.f64 #s(approx (exp a) (+.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)))) (if (<=.f64 b #s(literal 4399999999999999837249374588699575806050811116519424 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 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 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 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 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 #s(literal 1/6 binary64)))))))))))) |
(if (<=.f64 b #s(literal 1599999999999999862930413715456 binary64)) (/.f64 #s(approx (exp a) (+.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)))) (if (<=.f64 b #s(literal 4399999999999999837249374588699575806050811116519424 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 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 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 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 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 #s(literal 1/6 binary64))))))))))) |
(if (<=.f64 b #s(literal 1599999999999999862930413715456 binary64)) (/.f64 #s(approx (exp a) (+.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)))) (if (<=.f64 b #s(literal 290000000000000016861315092330566731939152625510457497208488564077634907013120 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))))) |
(if (<=.f64 b #s(literal 1599999999999999862930413715456 binary64)) (/.f64 #s(approx (exp a) (+.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)))) (if (<=.f64 b #s(literal 439999999999999979253531971195670646539310219990212995663505742327537368098050790092065856290816 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #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)))))))))) |
(if (<=.f64 b #s(literal 1599999999999999862930413715456 binary64)) (/.f64 #s(approx (exp a) (+.f64 a #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))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 439999999999999979253531971195670646539310219990212995663505742327537368098050790092065856290816 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #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)))))))))) |
(if (<=.f64 b #s(literal 1950000000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) (if (<=.f64 b #s(literal 439999999999999979253531971195670646539310219990212995663505742327537368098050790092065856290816 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #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)))))))))) |
(if (<=.f64 b #s(literal 1950000000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) (if (<=.f64 b #s(literal 439999999999999979253531971195670646539310219990212995663505742327537368098050790092065856290816 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64)))))))))) |
(if (<=.f64 b #s(literal 1950000000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) (if (<=.f64 b #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))) |
(if (<=.f64 b #s(literal -5217114770517643/20065826040452474621738395244141115820123061381619162977212070095324448220432589806036630768881181530864650607514107580997541169167266097500334986765487216377087492641938951866881041556870737904629872328704 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(if (<=.f64 (exp.f64 a) #s(literal 0 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 (exp.f64 a) #s(literal 0 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 (exp.f64 b) #s(literal 1 binary64))))) |
(if (<=.f64 a #s(literal -52500000000000000343071090436134028613130097131600525773066461289798096100786176 binary64)) (/.f64 #s(approx (exp a) (+.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)))) #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 -52500000000000000343071090436134028613130097131600525773066461289798096100786176 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) (fma.f64 a (fma.f64 a (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))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
(if (<=.f64 b #s(literal -29/2 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (if (<=.f64 b #s(literal 1599999999999999862930413715456 binary64)) (/.f64 #s(approx (exp a) (+.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)))) (if (<=.f64 b #s(literal 4399999999999999837249374588699575806050811116519424 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 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 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 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 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 #s(literal 1/6 binary64)))))))))))) |
(if (<=.f64 b #s(literal -29/2 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (if (<=.f64 b #s(literal 1599999999999999862930413715456 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) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 4399999999999999837249374588699575806050811116519424 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 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 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 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 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 #s(literal 1/6 binary64)))))))))))) |
(if (<=.f64 b #s(literal 1599999999999999862930413715456 binary64)) (/.f64 #s(approx (exp a) (+.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)))) (if (<=.f64 b #s(literal 4399999999999999837249374588699575806050811116519424 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 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 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 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 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 #s(literal 1/6 binary64))))))))))) |
(if (<=.f64 b #s(literal 1599999999999999862930413715456 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) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 4399999999999999837249374588699575806050811116519424 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 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 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 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 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 #s(literal 1/6 binary64))))))))))) |
(if (<=.f64 b #s(literal 1599999999999999862930413715456 binary64)) (/.f64 #s(approx (exp a) (+.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)))) (if (<=.f64 b #s(literal 290000000000000016861315092330566731939152625510457497208488564077634907013120 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))))) |
(if (<=.f64 b #s(literal 1599999999999999862930413715456 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) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 290000000000000016861315092330566731939152625510457497208488564077634907013120 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))))) |
(if (<=.f64 b #s(literal 1599999999999999862930413715456 binary64)) (/.f64 #s(approx (exp a) (+.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)))) (if (<=.f64 b #s(literal 439999999999999979253531971195670646539310219990212995663505742327537368098050790092065856290816 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #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)))))))))) |
(if (<=.f64 b #s(literal 1599999999999999862930413715456 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) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 439999999999999979253531971195670646539310219990212995663505742327537368098050790092065856290816 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #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)))))))))) |
(if (<=.f64 b #s(literal 1599999999999999862930413715456 binary64)) (/.f64 #s(approx (exp a) (+.f64 a #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))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 439999999999999979253531971195670646539310219990212995663505742327537368098050790092065856290816 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #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)))))))))) |
(if (<=.f64 b #s(literal 1599999999999999862930413715456 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) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 439999999999999979253531971195670646539310219990212995663505742327537368098050790092065856290816 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #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)))))))))) |
(if (<=.f64 b #s(literal 1950000000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) (if (<=.f64 b #s(literal 439999999999999979253531971195670646539310219990212995663505742327537368098050790092065856290816 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #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)))))))))) |
(if (<=.f64 b #s(literal 1950000000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) (if (<=.f64 b #s(literal 439999999999999979253531971195670646539310219990212995663505742327537368098050790092065856290816 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64)))))))))) |
(if (<=.f64 b #s(literal 1950000000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) (if (<=.f64 b #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a 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) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))) |
(if (<=.f64 b #s(literal -5217114770517643/20065826040452474621738395244141115820123061381619162977212070095324448220432589806036630768881181530864650607514107580997541169167266097500334986765487216377087492641938951866881041556870737904629872328704 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) |
| 18 438× | lower-fma.f64 |
| 18 438× | lower-fma.f32 |
| 14 312× | lower-fma.f64 |
| 14 312× | lower-fma.f32 |
| 11 040× | lower-fma.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 167 |
| 0 | 62 | 169 |
| 1 | 233 | 166 |
| 2 | 1738 | 160 |
| 0 | 8629 | 160 |
| 0 | 289 | 5222 |
| 1 | 906 | 4939 |
| 2 | 2998 | 4542 |
| 0 | 8558 | 4296 |
| 0 | 247 | 4022 |
| 1 | 761 | 3837 |
| 2 | 2568 | 3614 |
| 0 | 8228 | 3471 |
| 0 | 55 | 396 |
| 0 | 72 | 396 |
| 1 | 370 | 384 |
| 2 | 3258 | 384 |
| 0 | 8916 | 366 |
| 0 | 500 | 5829 |
| 1 | 1526 | 5532 |
| 2 | 4803 | 5349 |
| 0 | 8381 | 5075 |
| 0 | 120 | 740 |
| 1 | 332 | 725 |
| 2 | 964 | 708 |
| 3 | 3689 | 677 |
| 0 | 8345 | 640 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 425 to 652 computations (54.2% saved)
Compiled 1 220 to 220 computations (82% saved)
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