
Time bar (total: 3.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 2 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 3 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 4 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 5 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 6 |
| 95.2% | 93.7% | 4.7% | 0.1% | 0% | 1.6% | 0% | 7 |
| 96% | 93.7% | 3.9% | 0.1% | 0% | 2.3% | 0% | 8 |
| 97.2% | 93.7% | 2.7% | 0.1% | 0% | 3.5% | 0% | 9 |
| 97.8% | 93.7% | 2.1% | 0.1% | 0% | 4.1% | 0% | 10 |
| 98.5% | 93.7% | 1.5% | 0.1% | 0% | 4.8% | 0% | 11 |
| 98.8% | 93.7% | 1.1% | 0.1% | 0% | 5.1% | 0% | 12 |
Compiled 10 to 8 computations (20% saved)
| 473.0ms | 8 256× | 0 | valid |
| 168.0ms | 2 896× | 0 | exit |
ival-exp: 206.0ms (69.1% of total)ival-div!: 57.0ms (19.1% of total)ival-add!: 33.0ms (11.1% of total)adjust: 3.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 2 | 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 | 2 | 0 |
| ↳ | (exp.f64 a) | overflow | 2 | |
| ↳ | (+.f64 (exp.f64 a) (exp.f64 b)) | overflow | 72 | |
| ↳ | (exp.f64 a) | overflow | 2 | |
| ↳ | (exp.f64 b) | overflow | 71 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2 | 0 |
| - | 0 | 254 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2 | 0 | 0 |
| - | 0 | 0 | 254 |
| number | freq |
|---|---|
| 0 | 254 |
| 1 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 25.0ms | 512× | 0 | valid |
Compiled 50 to 22 computations (56% saved)
ival-exp: 8.0ms (67% of total)ival-div!: 2.0ms (16.7% of total)ival-add!: 1.0ms (8.4% of total)adjust: 0.0ms (0% of total)Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 56 |
| 1 | 46 | 56 |
| 2 | 147 | 56 |
| 3 | 563 | 51 |
| 4 | 3243 | 51 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.2% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 16 to 12 computations (25% saved)
| 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 |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* 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)))))) |
#s(approx (exp a) #s(hole binary64 1)) |
#s(approx (exp a) #s(hole binary64 (+ 1 a))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b))))) |
#s(approx (exp a) #s(hole binary64 (exp a))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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)))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#s(approx (exp b) #s(hole binary64 1)) |
#s(approx (exp b) #s(hole binary64 (+ 1 b))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (exp b) #s(hole binary64 (exp b))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | b | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b) |
| 1.0ms | a | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b) |
| 1.0ms | a | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b) |
| 1.0ms | b | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b) |
| 1.0ms | a | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 154 | 730 |
| 0 | 158 | 693 |
| 1 | 1024 | 684 |
| 0 | 8054 | 638 |
| 1× | iter-limit |
| 1× | node-limit |
| 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 |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* 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)))))) |
#s(approx (exp a) #s(hole binary64 1)) |
#s(approx (exp a) #s(hole binary64 (+ 1 a))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b))))) |
#s(approx (exp a) #s(hole binary64 (exp a))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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)))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#s(approx (exp b) #s(hole binary64 1)) |
#s(approx (exp b) #s(hole binary64 (+ 1 b))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (exp b) #s(hole binary64 (exp b))) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) |
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(/.f64 (-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 a) (sinh.f64 a))) (-.f64 (cosh.f64 a) (sinh.f64 a))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (sinh.f64 a) (sinh.f64 a)) (*.f64 (cosh.f64 a) (sinh.f64 a))))) |
(exp.f64 a) |
(+.f64 (cosh.f64 a) (sinh.f64 a)) |
a |
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 (exp.f64 b) (exp.f64 a))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b)))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b))))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b)))))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 b) (cosh.f64 b)) (*.f64 (sinh.f64 b) (sinh.f64 b))) (-.f64 (cosh.f64 b) (sinh.f64 b))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64))) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (*.f64 (sinh.f64 b) (sinh.f64 b)) (*.f64 (cosh.f64 b) (sinh.f64 b))))) |
(exp.f64 b) |
(+.f64 (cosh.f64 b) (sinh.f64 b)) |
b |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 1/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -4 binary64))))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(approx (exp a) (-.f64 a #s(literal -1 binary64))) |
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx a a) |
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
#s(approx (exp a) (exp.f64 a)) |
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 a) b) #s(literal -1 binary64))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal -1 binary64))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal -1 binary64))) |
#s(approx (exp b) #s(literal 1 binary64)) |
#s(approx (exp b) (-.f64 b #s(literal -1 binary64))) |
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) |
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))) |
#s(approx b b) |
#s(approx (exp b) (exp.f64 b)) |
Compiled 1 257 to 266 computations (78.8% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 54 | 4 | 58 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 55 | 4 | 59 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 79.4% | (/.f64 (/.f64 (-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 a) (sinh.f64 a))) (-.f64 (cosh.f64 a) (sinh.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b))) |
| ▶ | 65.0% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
| ▶ | 88.3% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
| ▶ | 87.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
Compiled 78 to 47 computations (39.7% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(-.f64 (exp.f64 b) #s(literal -1 binary64)) |
(exp.f64 b) |
b |
#s(literal -1 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) |
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
a |
(/.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)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 a) (sinh.f64 a))) (-.f64 (cosh.f64 a) (sinh.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 a) (sinh.f64 a))) (-.f64 (cosh.f64 a) (sinh.f64 a))) |
(-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 a) (sinh.f64 a))) |
(*.f64 (cosh.f64 a) (cosh.f64 a)) |
(cosh.f64 a) |
(*.f64 (sinh.f64 a) (sinh.f64 a)) |
(sinh.f64 a) |
(-.f64 (cosh.f64 a) (sinh.f64 a)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* 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)))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (exp a) #s(hole binary64 1)) |
#s(approx (exp a) #s(hole binary64 (+ 1 a))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))) |
#s(approx (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) #s(hole binary64 1)) |
#s(approx (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) #s(hole binary64 (+ 1 a))) |
#s(approx (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) #s(hole binary64 1)) |
#s(approx (* (cosh a) (cosh a)) #s(hole binary64 1)) |
#s(approx (* (cosh a) (cosh a)) #s(hole binary64 (+ 1 (pow a 2)))) |
#s(approx (* (cosh a) (cosh a)) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1 (* 1/3 (pow a 2))))))) |
#s(approx (* (cosh a) (cosh a)) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1 (* (pow a 2) (+ 1/3 (* 2/45 (pow a 2))))))))) |
#s(approx (cosh a) #s(hole binary64 1)) |
#s(approx (cosh a) #s(hole binary64 (+ 1 (* 1/2 (pow a 2))))) |
#s(approx (cosh a) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2))))))) |
#s(approx (cosh a) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2))))))))) |
#s(approx (* (sinh a) (sinh a)) #s(hole binary64 (pow a 2))) |
#s(approx (* (sinh a) (sinh a)) #s(hole binary64 (* (pow a 2) (+ 1 (* 1/3 (pow a 2)))))) |
#s(approx (* (sinh a) (sinh a)) #s(hole binary64 (* (pow a 2) (+ 1 (* (pow a 2) (+ 1/3 (* 2/45 (pow a 2)))))))) |
#s(approx (* (sinh a) (sinh a)) #s(hole binary64 (* (pow a 2) (+ 1 (* (pow a 2) (+ 1/3 (* (pow a 2) (+ 2/45 (* 1/315 (pow a 2)))))))))) |
#s(approx (sinh a) #s(hole binary64 a)) |
#s(approx (sinh a) #s(hole binary64 (* a (+ 1 (* 1/6 (pow a 2)))))) |
#s(approx (sinh a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (+ 1/6 (* 1/120 (pow a 2)))))))) |
#s(approx (sinh a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (+ 1/6 (* (pow a 2) (+ 1/120 (* 1/5040 (pow a 2)))))))))) |
#s(approx (- (cosh a) (sinh a)) #s(hole binary64 1)) |
#s(approx (- (cosh a) (sinh a)) #s(hole binary64 (+ 1 (* -1 a)))) |
#s(approx (- (cosh a) (sinh a)) #s(hole binary64 (+ 1 (* a (- (* 1/2 a) 1))))) |
#s(approx (- (cosh a) (sinh a)) #s(hole binary64 (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))))) |
#s(approx (exp a) #s(hole binary64 (exp a))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b)))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) #s(hole binary64 (/ (- (* 1/4 (pow (+ (exp a) (/ 1 (exp a))) 2)) (* 1/4 (pow (- (exp a) (/ 1 (exp a))) 2))) (* (+ (exp a) (exp b)) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))) |
#s(approx (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) #s(hole binary64 (/ (- (* 1/4 (pow (+ (exp a) (/ 1 (exp a))) 2)) (* 1/4 (pow (- (exp a) (/ 1 (exp a))) 2))) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) |
#s(approx (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) #s(hole binary64 (- (* 1/4 (pow (+ (exp a) (/ 1 (exp a))) 2)) (* 1/4 (pow (- (exp a) (/ 1 (exp a))) 2))))) |
#s(approx (* (cosh a) (cosh a)) #s(hole binary64 (* 1/4 (pow (+ (exp a) (/ 1 (exp a))) 2)))) |
#s(approx (cosh a) #s(hole binary64 (* 1/2 (+ (exp a) (/ 1 (exp a)))))) |
#s(approx (* (sinh a) (sinh a)) #s(hole binary64 (* 1/4 (pow (- (exp a) (/ 1 (exp a))) 2)))) |
#s(approx (sinh a) #s(hole binary64 (* 1/2 (- (exp a) (/ 1 (exp a)))))) |
#s(approx (- (cosh a) (sinh a)) #s(hole binary64 (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b))))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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)))))) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 1/2)) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b)))) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))))) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))))) |
#s(approx (- (exp b) -1) #s(hole binary64 2)) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#s(approx (exp b) #s(hole binary64 1)) |
#s(approx (exp b) #s(hole binary64 (+ 1 b))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (* 1/4 a)))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4)))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4)))))) |
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 1/4)) |
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* -1/16 (pow b 2))))) |
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* 1/96 (pow b 2)) 1/16))))) |
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/96 (* -17/11520 (pow b 2)))) 1/16))))) |
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 1/4)) |
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* -1/4 b)))) |
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* b (- (* 1/16 b) 1/4))))) |
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* b (- (* b (+ 1/16 (* 1/48 b))) 1/4))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) #s(hole binary64 (/ (- (* 1/4 (pow (+ (exp a) (/ 1 (exp a))) 2)) (* 1/4 (pow (- (exp a) (/ 1 (exp a))) 2))) (* (+ 1 (exp a)) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) #s(hole binary64 (- (+ (* 1/4 (/ (pow (+ (exp a) (/ 1 (exp a))) 2) (* (+ 1 (exp a)) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* b (- (* 1/4 (/ (pow (- (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 2) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* 1/4 (/ (pow (+ (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 2) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))) (* 1/4 (/ (pow (- (exp a) (/ 1 (exp a))) 2) (* (+ 1 (exp a)) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) #s(hole binary64 (- (+ (* 1/4 (/ (pow (+ (exp a) (/ 1 (exp a))) 2) (* (+ 1 (exp a)) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* b (- (+ (* 1/4 (/ (pow (- (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 2) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* b (- (* 1/4 (/ (pow (+ (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 3) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (+ (* 1/4 (/ (pow (- (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 3) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* 1/2 (/ (- (* 1/4 (pow (+ (exp a) (/ 1 (exp a))) 2)) (* 1/4 (pow (- (exp a) (/ 1 (exp a))) 2))) (* (pow (+ 1 (exp a)) 2) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))))))) (* 1/4 (/ (pow (+ (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 2) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))) (* 1/4 (/ (pow (- (exp a) (/ 1 (exp a))) 2) (* (+ 1 (exp a)) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) #s(hole binary64 (- (+ (* 1/4 (/ (pow (+ (exp a) (/ 1 (exp a))) 2) (* (+ 1 (exp a)) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* b (- (+ (* 1/4 (/ (pow (- (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 2) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* b (- (+ (* 1/4 (/ (pow (+ (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 3) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* b (- (+ (* 1/4 (/ (pow (- (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 4) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* 1/2 (/ (- (* 1/4 (pow (+ (exp a) (/ 1 (exp a))) 2)) (* 1/4 (pow (- (exp a) (/ 1 (exp a))) 2))) (* (pow (+ 1 (exp a)) 3) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))) (+ (* 1/6 (/ (- (* 1/4 (pow (+ (exp a) (/ 1 (exp a))) 2)) (* 1/4 (pow (- (exp a) (/ 1 (exp a))) 2))) (* (pow (+ 1 (exp a)) 2) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (+ (* 1/4 (/ (pow (+ (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 4) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* 1/2 (/ (- (* 1/4 (/ (pow (- (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 2) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* 1/4 (/ (pow (+ (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 2) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))) (+ 1 (exp a))))))))) (+ (* 1/4 (/ (pow (- (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 3) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* 1/2 (/ (- (* 1/4 (pow (+ (exp a) (/ 1 (exp a))) 2)) (* 1/4 (pow (- (exp a) (/ 1 (exp a))) 2))) (* (pow (+ 1 (exp a)) 2) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))))))) (* 1/4 (/ (pow (+ (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 2) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))) (* 1/4 (/ (pow (- (exp a) (/ 1 (exp a))) 2) (* (+ 1 (exp a)) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (exp b) #s(hole binary64 (exp b))) |
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) |
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (/ 1 (pow (+ 1 (exp b)) 2)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | a | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -2) -2 a (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) 1 (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (* (cosh a) (cosh a)) (cosh a) (* (sinh a) (sinh a)) (sinh a) (- (cosh a) (sinh a)) (+ (exp a) (exp b))) |
| 8.0ms | a | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -2) -2 a (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) 1 (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (* (cosh a) (cosh a)) (cosh a) (* (sinh a) (sinh a)) (sinh a) (- (cosh a) (sinh a)) (+ (exp a) (exp b))) |
| 7.0ms | b | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -2) -2 a (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) 1 (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (* (cosh a) (cosh a)) (cosh a) (* (sinh a) (sinh a)) (sinh a) (- (cosh a) (sinh a)) (+ (exp a) (exp b))) |
| 5.0ms | a | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -2) -2 a (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) 1 (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (* (cosh a) (cosh a)) (cosh a) (* (sinh a) (sinh a)) (sinh a) (- (cosh a) (sinh a)) (+ (exp a) (exp b))) |
| 4.0ms | b | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -2) -2 a (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) 1 (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (* (cosh a) (cosh a)) (cosh a) (* (sinh a) (sinh a)) (sinh a) (- (cosh a) (sinh a)) (+ (exp a) (exp b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 489 | 3785 |
| 0 | 531 | 3251 |
| 1 | 3148 | 3009 |
| 0 | 9130 | 2886 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(-.f64 (exp.f64 b) #s(literal -1 binary64)) |
(exp.f64 b) |
b |
#s(literal -1 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) |
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
a |
(/.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)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 a) (sinh.f64 a))) (-.f64 (cosh.f64 a) (sinh.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 a) (sinh.f64 a))) (-.f64 (cosh.f64 a) (sinh.f64 a))) |
(-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 a) (sinh.f64 a))) |
(*.f64 (cosh.f64 a) (cosh.f64 a)) |
(cosh.f64 a) |
(*.f64 (sinh.f64 a) (sinh.f64 a)) |
(sinh.f64 a) |
(-.f64 (cosh.f64 a) (sinh.f64 a)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* 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)))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (exp a) #s(hole binary64 1)) |
#s(approx (exp a) #s(hole binary64 (+ 1 a))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))) |
#s(approx (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) #s(hole binary64 1)) |
#s(approx (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) #s(hole binary64 (+ 1 a))) |
#s(approx (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) #s(hole binary64 1)) |
#s(approx (* (cosh a) (cosh a)) #s(hole binary64 1)) |
#s(approx (* (cosh a) (cosh a)) #s(hole binary64 (+ 1 (pow a 2)))) |
#s(approx (* (cosh a) (cosh a)) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1 (* 1/3 (pow a 2))))))) |
#s(approx (* (cosh a) (cosh a)) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1 (* (pow a 2) (+ 1/3 (* 2/45 (pow a 2))))))))) |
#s(approx (cosh a) #s(hole binary64 1)) |
#s(approx (cosh a) #s(hole binary64 (+ 1 (* 1/2 (pow a 2))))) |
#s(approx (cosh a) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2))))))) |
#s(approx (cosh a) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2))))))))) |
#s(approx (* (sinh a) (sinh a)) #s(hole binary64 (pow a 2))) |
#s(approx (* (sinh a) (sinh a)) #s(hole binary64 (* (pow a 2) (+ 1 (* 1/3 (pow a 2)))))) |
#s(approx (* (sinh a) (sinh a)) #s(hole binary64 (* (pow a 2) (+ 1 (* (pow a 2) (+ 1/3 (* 2/45 (pow a 2)))))))) |
#s(approx (* (sinh a) (sinh a)) #s(hole binary64 (* (pow a 2) (+ 1 (* (pow a 2) (+ 1/3 (* (pow a 2) (+ 2/45 (* 1/315 (pow a 2)))))))))) |
#s(approx (sinh a) #s(hole binary64 a)) |
#s(approx (sinh a) #s(hole binary64 (* a (+ 1 (* 1/6 (pow a 2)))))) |
#s(approx (sinh a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (+ 1/6 (* 1/120 (pow a 2)))))))) |
#s(approx (sinh a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (+ 1/6 (* (pow a 2) (+ 1/120 (* 1/5040 (pow a 2)))))))))) |
#s(approx (- (cosh a) (sinh a)) #s(hole binary64 1)) |
#s(approx (- (cosh a) (sinh a)) #s(hole binary64 (+ 1 (* -1 a)))) |
#s(approx (- (cosh a) (sinh a)) #s(hole binary64 (+ 1 (* a (- (* 1/2 a) 1))))) |
#s(approx (- (cosh a) (sinh a)) #s(hole binary64 (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))))) |
#s(approx (exp a) #s(hole binary64 (exp a))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b)))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) #s(hole binary64 (/ (- (* 1/4 (pow (+ (exp a) (/ 1 (exp a))) 2)) (* 1/4 (pow (- (exp a) (/ 1 (exp a))) 2))) (* (+ (exp a) (exp b)) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))) |
#s(approx (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) #s(hole binary64 (/ (- (* 1/4 (pow (+ (exp a) (/ 1 (exp a))) 2)) (* 1/4 (pow (- (exp a) (/ 1 (exp a))) 2))) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) |
#s(approx (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) #s(hole binary64 (- (* 1/4 (pow (+ (exp a) (/ 1 (exp a))) 2)) (* 1/4 (pow (- (exp a) (/ 1 (exp a))) 2))))) |
#s(approx (* (cosh a) (cosh a)) #s(hole binary64 (* 1/4 (pow (+ (exp a) (/ 1 (exp a))) 2)))) |
#s(approx (cosh a) #s(hole binary64 (* 1/2 (+ (exp a) (/ 1 (exp a)))))) |
#s(approx (* (sinh a) (sinh a)) #s(hole binary64 (* 1/4 (pow (- (exp a) (/ 1 (exp a))) 2)))) |
#s(approx (sinh a) #s(hole binary64 (* 1/2 (- (exp a) (/ 1 (exp a)))))) |
#s(approx (- (cosh a) (sinh a)) #s(hole binary64 (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b))))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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)))))) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 1/2)) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b)))) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))))) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))))) |
#s(approx (- (exp b) -1) #s(hole binary64 2)) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#s(approx (exp b) #s(hole binary64 1)) |
#s(approx (exp b) #s(hole binary64 (+ 1 b))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (* 1/4 a)))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4)))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4)))))) |
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 1/4)) |
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* -1/16 (pow b 2))))) |
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* 1/96 (pow b 2)) 1/16))))) |
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/96 (* -17/11520 (pow b 2)))) 1/16))))) |
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 1/4)) |
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* -1/4 b)))) |
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* b (- (* 1/16 b) 1/4))))) |
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* b (- (* b (+ 1/16 (* 1/48 b))) 1/4))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) #s(hole binary64 (/ (- (* 1/4 (pow (+ (exp a) (/ 1 (exp a))) 2)) (* 1/4 (pow (- (exp a) (/ 1 (exp a))) 2))) (* (+ 1 (exp a)) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) #s(hole binary64 (- (+ (* 1/4 (/ (pow (+ (exp a) (/ 1 (exp a))) 2) (* (+ 1 (exp a)) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* b (- (* 1/4 (/ (pow (- (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 2) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* 1/4 (/ (pow (+ (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 2) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))) (* 1/4 (/ (pow (- (exp a) (/ 1 (exp a))) 2) (* (+ 1 (exp a)) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) #s(hole binary64 (- (+ (* 1/4 (/ (pow (+ (exp a) (/ 1 (exp a))) 2) (* (+ 1 (exp a)) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* b (- (+ (* 1/4 (/ (pow (- (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 2) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* b (- (* 1/4 (/ (pow (+ (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 3) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (+ (* 1/4 (/ (pow (- (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 3) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* 1/2 (/ (- (* 1/4 (pow (+ (exp a) (/ 1 (exp a))) 2)) (* 1/4 (pow (- (exp a) (/ 1 (exp a))) 2))) (* (pow (+ 1 (exp a)) 2) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))))))) (* 1/4 (/ (pow (+ (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 2) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))) (* 1/4 (/ (pow (- (exp a) (/ 1 (exp a))) 2) (* (+ 1 (exp a)) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) #s(hole binary64 (- (+ (* 1/4 (/ (pow (+ (exp a) (/ 1 (exp a))) 2) (* (+ 1 (exp a)) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* b (- (+ (* 1/4 (/ (pow (- (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 2) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* b (- (+ (* 1/4 (/ (pow (+ (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 3) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* b (- (+ (* 1/4 (/ (pow (- (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 4) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* 1/2 (/ (- (* 1/4 (pow (+ (exp a) (/ 1 (exp a))) 2)) (* 1/4 (pow (- (exp a) (/ 1 (exp a))) 2))) (* (pow (+ 1 (exp a)) 3) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))) (+ (* 1/6 (/ (- (* 1/4 (pow (+ (exp a) (/ 1 (exp a))) 2)) (* 1/4 (pow (- (exp a) (/ 1 (exp a))) 2))) (* (pow (+ 1 (exp a)) 2) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (+ (* 1/4 (/ (pow (+ (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 4) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* 1/2 (/ (- (* 1/4 (/ (pow (- (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 2) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* 1/4 (/ (pow (+ (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 2) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))) (+ 1 (exp a))))))))) (+ (* 1/4 (/ (pow (- (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 3) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* 1/2 (/ (- (* 1/4 (pow (+ (exp a) (/ 1 (exp a))) 2)) (* 1/4 (pow (- (exp a) (/ 1 (exp a))) 2))) (* (pow (+ 1 (exp a)) 2) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))))))) (* 1/4 (/ (pow (+ (exp a) (/ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 2) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))) (* 1/4 (/ (pow (- (exp a) (/ 1 (exp a))) 2) (* (+ 1 (exp a)) (- (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (exp b) #s(hole binary64 (exp b))) |
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) |
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (/ 1 (pow (+ 1 (exp b)) 2)))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(/.f64 (expm1.f64 (+.f64 b b)) (+.f64 (exp.f64 b) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64))))) |
(-.f64 (exp.f64 b) #s(literal -1 binary64)) |
(exp.f64 b) |
(+.f64 (cosh.f64 b) (sinh.f64 b)) |
(*.f64 (pow.f64 b (pow.f64 (cosh.f64 a) #s(literal 2 binary64))) (pow.f64 b (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 a)))) |
(pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a))) |
(pow.f64 b #s(literal 1 binary64)) |
(/.f64 (pow.f64 b (pow.f64 (cosh.f64 a) #s(literal 2 binary64))) (pow.f64 b (pow.f64 (sinh.f64 a) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) |
b |
(*.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) #s(literal 1 binary64)) |
(pow.f64 #s(literal -1 binary64) #s(literal 9 binary64)) |
(pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (cosh.f64 a) #s(literal 4 binary64)) (pow.f64 (sinh.f64 a) #s(literal 4 binary64))) #s(literal -2 binary64)) (*.f64 (cosh.f64 (+.f64 a a)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (cosh.f64 a) #s(literal 6 binary64)) (pow.f64 (sinh.f64 a) #s(literal 6 binary64))) #s(literal -2 binary64)) (*.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 4 binary64)) (+.f64 (pow.f64 (sinh.f64 a) #s(literal 4 binary64)) (pow.f64 (*.f64 (cosh.f64 a) (sinh.f64 a)) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 4 binary64)) (pow.f64 (sinh.f64 a) #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 a a)))) |
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 6 binary64)) (pow.f64 (sinh.f64 a) #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (cosh.f64 a) #s(literal 4 binary64)) (+.f64 (pow.f64 (sinh.f64 a) #s(literal 4 binary64)) (pow.f64 (*.f64 (cosh.f64 a) (sinh.f64 a)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -8 binary64) #s(literal 8 binary64)) |
(/.f64 #s(literal -4 binary64) #s(literal 4 binary64)) |
(/.f64 #s(literal -2 binary64) #s(literal 2 binary64)) |
(neg.f64 #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) #s(literal -1 binary64) #s(literal -1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) |
(+.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (-.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(fma.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a)) |
(fma.f64 (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a)) |
(fma.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a)) |
(fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 a (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a)) |
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -4 binary64))) (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -6 binary64))) (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -4 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64))))) |
(-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) |
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(pow.f64 (exp.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) #s(literal -2 binary64)) |
(pow.f64 (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) |
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(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -2 binary64))) |
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#s(literal -2 binary64) |
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(exp.f64 (*.f64 (log.f64 a) #s(literal 1 binary64))) |
a |
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(exp.f64 a) |
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#s(approx (exp b) #s(literal 1 binary64)) |
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(*.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) |
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(pow.f64 #s(literal 1 binary64) #s(literal 4 binary64)) |
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(pow.f64 #s(literal -1 binary64) #s(literal 6 binary64)) |
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(pow.f64 #s(literal -1 binary64) #s(literal 2 binary64)) |
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(/.f64 (+.f64 (exp.f64 (-.f64 a a)) (exp.f64 (neg.f64 (-.f64 a a)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 a) #s(literal 4 binary64)) (pow.f64 (sinh.f64 a) #s(literal 4 binary64))) (cosh.f64 (+.f64 a a))) |
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(/.f64 #s(literal 8 binary64) #s(literal 8 binary64)) |
(/.f64 #s(literal 4 binary64) #s(literal 4 binary64)) |
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64)) |
(neg.f64 #s(literal -1 binary64)) |
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(fma.f64 (neg.f64 (fabs.f64 (cosh.f64 a))) (neg.f64 (fabs.f64 (cosh.f64 a))) (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 a))) |
(fma.f64 (fabs.f64 (fabs.f64 (cosh.f64 a))) (fabs.f64 (fabs.f64 (cosh.f64 a))) (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 a))) |
(fma.f64 (pow.f64 (cosh.f64 a) #s(literal 1 binary64)) (pow.f64 (cosh.f64 a) #s(literal 1 binary64)) (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 a))) |
(fma.f64 (pow.f64 (cosh.f64 a) #s(literal 1 binary64)) (cosh.f64 a) (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 a))) |
(fma.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal -3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (cosh.f64 a)) (neg.f64 (cosh.f64 a)) (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 a))) |
(fma.f64 (fabs.f64 (cosh.f64 a)) (fabs.f64 (cosh.f64 a)) (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 a))) |
(fma.f64 (cosh.f64 a) (cosh.f64 a) (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 a))) |
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 a) (exp.f64 (neg.f64 a)) #s(literal 0 binary64)) |
(cosh.f64 (neg.f64 (-.f64 a a))) |
(cosh.f64 (-.f64 a a)) |
(cosh.f64 #s(literal 0 binary64)) |
(-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (pow.f64 (sinh.f64 a) #s(literal 2 binary64))) |
(fabs.f64 #s(literal 1 binary64)) |
(fabs.f64 #s(literal -1 binary64)) |
(exp.f64 (+.f64 a (neg.f64 a))) |
(exp.f64 #s(literal 0 binary64)) |
(+.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 a))) |
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64)) |
#s(literal 1 binary64) |
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(exp.f64 (-.f64 #s(literal 0 binary64) (neg.f64 a))) |
(exp.f64 (neg.f64 (neg.f64 a))) |
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(*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
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(*.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) |
(pow.f64 #s(literal 1 binary64) #s(literal 6 binary64)) |
(pow.f64 #s(literal 1 binary64) #s(literal 9 binary64)) |
(pow.f64 #s(literal 1 binary64) #s(literal 4 binary64)) |
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(pow.f64 #s(literal -1 binary64) #s(literal 6 binary64)) |
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(pow.f64 #s(literal -1 binary64) #s(literal 2 binary64)) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (cosh.f64 a) #s(literal 4 binary64)) (pow.f64 (sinh.f64 a) #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (+.f64 a a)) #s(literal 2 binary64))) |
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(/.f64 (-.f64 (pow.f64 (cosh.f64 a) #s(literal 4 binary64)) (pow.f64 (sinh.f64 a) #s(literal 4 binary64))) (cosh.f64 (+.f64 a a))) |
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(/.f64 #s(literal 8 binary64) #s(literal 8 binary64)) |
(/.f64 #s(literal 4 binary64) #s(literal 4 binary64)) |
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64)) |
(neg.f64 #s(literal -1 binary64)) |
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(fma.f64 (neg.f64 (fabs.f64 (cosh.f64 a))) (neg.f64 (fabs.f64 (cosh.f64 a))) (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 a))) |
(fma.f64 (fabs.f64 (fabs.f64 (cosh.f64 a))) (fabs.f64 (fabs.f64 (cosh.f64 a))) (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 a))) |
(fma.f64 (pow.f64 (cosh.f64 a) #s(literal 1 binary64)) (pow.f64 (cosh.f64 a) #s(literal 1 binary64)) (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 a))) |
(fma.f64 (pow.f64 (cosh.f64 a) #s(literal 1 binary64)) (cosh.f64 a) (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 a))) |
(fma.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal -3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (cosh.f64 a)) (neg.f64 (cosh.f64 a)) (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 a))) |
(fma.f64 (fabs.f64 (cosh.f64 a)) (fabs.f64 (cosh.f64 a)) (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 a))) |
(fma.f64 (cosh.f64 a) (cosh.f64 a) (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 a))) |
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 a) (exp.f64 (neg.f64 a)) #s(literal 0 binary64)) |
(cosh.f64 (neg.f64 (-.f64 a a))) |
(cosh.f64 (-.f64 a a)) |
(cosh.f64 #s(literal 0 binary64)) |
(-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (pow.f64 (sinh.f64 a) #s(literal 2 binary64))) |
(fabs.f64 #s(literal 1 binary64)) |
(fabs.f64 #s(literal -1 binary64)) |
(exp.f64 (+.f64 a (neg.f64 a))) |
(exp.f64 #s(literal 0 binary64)) |
(+.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 a))) |
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64)) |
#s(literal 1 binary64) |
(*.f64 (neg.f64 (neg.f64 (cosh.f64 a))) (neg.f64 (neg.f64 (cosh.f64 a)))) |
(*.f64 (neg.f64 (fabs.f64 (cosh.f64 a))) (neg.f64 (fabs.f64 (cosh.f64 a)))) |
(*.f64 (fabs.f64 (fabs.f64 (cosh.f64 a))) (fabs.f64 (fabs.f64 (cosh.f64 a)))) |
(*.f64 (pow.f64 (cosh.f64 a) #s(literal 1 binary64)) (pow.f64 (cosh.f64 a) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cosh.f64 a) #s(literal 1 binary64)) (cosh.f64 a)) |
(*.f64 (neg.f64 (cosh.f64 a)) (neg.f64 (cosh.f64 a))) |
(*.f64 (fabs.f64 (cosh.f64 a)) (fabs.f64 (cosh.f64 a))) |
(*.f64 (cosh.f64 a) (cosh.f64 a)) |
(pow.f64 (neg.f64 (cosh.f64 a)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (cosh.f64 a)) #s(literal 2 binary64)) |
(pow.f64 (cosh.f64 a) #s(literal 2 binary64)) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(fabs.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (cosh.f64 a)) #s(literal 2 binary64))) |
(/.f64 (+.f64 (exp.f64 (neg.f64 a)) (pow.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64)) |
(cosh.f64 (neg.f64 (neg.f64 a))) |
(cosh.f64 (neg.f64 a)) |
(cosh.f64 a) |
(*.f64 (neg.f64 (sinh.f64 (neg.f64 a))) (neg.f64 (sinh.f64 (neg.f64 a)))) |
(*.f64 (neg.f64 (fabs.f64 (sinh.f64 a))) (neg.f64 (fabs.f64 (sinh.f64 a)))) |
(*.f64 (fabs.f64 (fabs.f64 (sinh.f64 a))) (fabs.f64 (fabs.f64 (sinh.f64 a)))) |
(*.f64 (pow.f64 (sinh.f64 a) #s(literal 1 binary64)) (pow.f64 (sinh.f64 a) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sinh.f64 a) #s(literal 1 binary64)) (sinh.f64 a)) |
(*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 (neg.f64 a))) |
(*.f64 (fabs.f64 (sinh.f64 a)) (fabs.f64 (sinh.f64 a))) |
(*.f64 (sinh.f64 a) (sinh.f64 a)) |
(pow.f64 (sinh.f64 (neg.f64 a)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (sinh.f64 a)) #s(literal 2 binary64)) |
(pow.f64 (sinh.f64 a) #s(literal 2 binary64)) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(fabs.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sinh.f64 a)) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64)) |
(sinh.f64 a) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) a) |
(pow.f64 (pow.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 a) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (fma.f64 (sinh.f64 a) (sinh.f64 a) (*.f64 (cosh.f64 a) (sinh.f64 a))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (exp.f64 a)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a))) |
(-.f64 (cosh.f64 a) (sinh.f64 a)) |
(exp.f64 (-.f64 #s(literal 0 binary64) a)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 a)) |
(+.f64 (cosh.f64 a) (sinh.f64 (neg.f64 a))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b))))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64)))))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) |
#s(approx a a) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) |
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) a (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) a (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) |
#s(approx (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) #s(literal 1 binary64)) |
#s(approx (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+.f64 #s(literal 1 binary64) a)) |
#s(approx (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) #s(literal 1 binary64)) |
#s(approx (* (cosh a) (cosh a)) #s(literal 1 binary64)) |
#s(approx (* (cosh a) (cosh a)) (fma.f64 a a #s(literal 1 binary64))) |
#s(approx (* (cosh a) (cosh a)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 a a) #s(literal 1 binary64))) |
#s(approx (* (cosh a) (cosh a)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) (*.f64 a a) #s(literal 1 binary64))) |
#s(approx (cosh a) #s(literal 1 binary64)) |
#s(approx (cosh a) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cosh a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) |
#s(approx (cosh a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) |
#s(approx (* (sinh a) (sinh a)) (*.f64 a a)) |
#s(approx (* (sinh a) (sinh a)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 a a))) |
#s(approx (* (sinh a) (sinh a)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) (*.f64 a a))) |
#s(approx (* (sinh a) (sinh a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/315 binary64) (*.f64 a a) #s(literal 2/45 binary64)) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) (*.f64 a a))) |
#s(approx (sinh a) a) |
#s(approx (sinh a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/6 binary64) #s(literal 1 binary64)) a)) |
#s(approx (sinh a) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) |
#s(approx (sinh a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) |
#s(approx (- (cosh a) (sinh a)) #s(literal 1 binary64)) |
#s(approx (- (cosh a) (sinh a)) (fma.f64 #s(literal -1 binary64) a #s(literal 1 binary64))) |
#s(approx (- (cosh a) (sinh a)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx (- (cosh a) (sinh a)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a)) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a)) |
#s(approx (exp a) (exp.f64 a)) |
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) (/.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) (+.f64 (exp.f64 b) (exp.f64 a))))) |
#s(approx (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (/.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))))) |
#s(approx (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (*.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64))))) |
#s(approx (* (cosh a) (cosh a)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
#s(approx (cosh a) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 1/2 binary64))) |
#s(approx (* (sinh a) (sinh a)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
#s(approx (sinh a) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 1/2 binary64))) |
#s(approx (- (cosh a) (sinh a)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a) #s(literal -1 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (*.f64 b (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) #s(literal -1 binary64) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) b)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) b)) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)) |
#s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))) |
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))) |
#s(approx (- (exp b) -1) #s(literal 2 binary64)) |
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) |
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
#s(approx (exp b) #s(literal 1 binary64)) |
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) |
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) |
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))) |
#s(approx b b) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (+.f64 (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (+.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b a) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (+.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) a (*.f64 #s(literal 1/48 binary64) b)) b) #s(literal 1/4 binary64)) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64))) |
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(literal 1/4 binary64)) |
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (fma.f64 #s(literal -1/16 binary64) (*.f64 b b) #s(literal 1/4 binary64))) |
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 b b)) #s(literal 1/16 binary64)) (*.f64 b b) #s(literal 1/4 binary64))) |
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -17/11520 binary64) (*.f64 b b) #s(literal 1/96 binary64)) (*.f64 b b)) #s(literal 1/16 binary64)) (*.f64 b b) #s(literal 1/4 binary64))) |
#s(approx (pow (- (exp b) -1) -2) #s(literal 1/4 binary64)) |
#s(approx (pow (- (exp b) -1) -2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/4 binary64))) |
#s(approx (pow (- (exp b) -1) -2) (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) b) #s(literal 1/4 binary64)) b #s(literal 1/4 binary64))) |
#s(approx (pow (- (exp b) -1) -2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 1/16 binary64)) b) #s(literal 1/4 binary64)) b #s(literal 1/4 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) (/.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a))))))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) (-.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a))))))) b (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a))))) #s(literal 1/4 binary64))) (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a))))) #s(literal 1/4 binary64)))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))))) #s(literal 1/2 binary64))) b (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a))))) #s(literal 1/4 binary64))) (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a))))) #s(literal 1/4 binary64))) b (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a))))) #s(literal 1/4 binary64))) (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a))))) #s(literal 1/4 binary64)))) |
#s(approx (/ (/ (- (* (cosh a) (cosh a)) (* (sinh a) (sinh a))) (- (cosh a) (sinh a))) (+ (exp a) (exp b))) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a))))) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a))))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a))))) #s(literal 1/4 binary64))))) b (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a))))) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a))))) #s(literal 1/4 binary64)))) b (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a))))) #s(literal 1/4 binary64))) (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a))))) #s(literal 1/4 binary64))) b (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a))))) #s(literal 1/4 binary64))) (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a))))) #s(literal 1/4 binary64)))) |
#s(approx (pow (- (exp b) -1) -1) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) |
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
#s(approx (exp b) (exp.f64 b)) |
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) |
#s(approx (pow (- (exp b) -1) -2) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) |
Compiled 18 771 to 2 326 computations (87.6% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 588 | 13 | 601 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 0 | 0 |
| Total | 591 | 14 | 605 |
| Status | Accuracy | Program |
|---|---|---|
| 45.8% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (*.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal -3 binary64)))))) | |
| ✓ | 65.0% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
| ▶ | 64.4% | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
| 63.5% | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) | |
| 86.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (pow.f64 (pow.f64 a (exp.f64 a)) (exp.f64 (neg.f64 a))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))) | |
| ▶ | 87.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/2 binary64))) |
| ▶ | 58.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64))) |
| 42.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))) | |
| 87.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) | |
| 42.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) | |
| ▶ | 41.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
| 42.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) | |
| ▶ | 45.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) |
| 45.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))) |
Compiled 600 to 400 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) |
(-.f64 (exp.f64 b) #s(literal -1 binary64)) |
(exp.f64 b) |
b |
#s(literal -1 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) |
#s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)) |
(-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 b b) #s(literal 1/48 binary64)) |
(*.f64 b b) |
#s(literal 1/48 binary64) |
#s(literal 1/4 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64)) |
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(exp.f64 a) |
a |
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(approx (exp b) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* 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)))))) |
#s(approx (exp a) #s(hole binary64 1)) |
#s(approx (exp a) #s(hole binary64 (+ 1 a))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 a))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* 1/2 a)))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b))))) |
#s(approx (exp a) #s(hole binary64 (exp a))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* 1/6 (pow a 3)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3)))))))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* 1/6 (pow a 2)))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2))))))) |
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* 1/6 a))) |
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* a (+ 1/6 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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)))))) |
#s(approx (pow (* (- (exp b) -1) (- (exp b) -1)) -1/2) #s(hole binary64 1/2)) |
#s(approx (pow (* (- (exp b) -1) (- (exp b) -1)) -1/2) #s(hole binary64 (+ 1/2 (* -1/4 b)))) |
#s(approx (pow (* (- (exp b) -1) (- (exp b) -1)) -1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))))) |
#s(approx (pow (* (- (exp b) -1) (- (exp b) -1)) -1/2) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))))) |
#s(approx (* (- (exp b) -1) (- (exp b) -1)) #s(hole binary64 4)) |
#s(approx (* (- (exp b) -1) (- (exp b) -1)) #s(hole binary64 (+ 4 (* 4 b)))) |
#s(approx (* (- (exp b) -1) (- (exp b) -1)) #s(hole binary64 (+ 4 (* b (+ 4 (* 3 b)))))) |
#s(approx (* (- (exp b) -1) (- (exp b) -1)) #s(hole binary64 (+ 4 (* b (+ 4 (* b (+ 3 (* 5/3 b)))))))) |
#s(approx (- (exp b) -1) #s(hole binary64 2)) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#s(approx (exp b) #s(hole binary64 1)) |
#s(approx (exp b) #s(hole binary64 (+ 1 b))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 1/2)) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b)))) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))))) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b)))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))))) |
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 -1/4)) |
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4))) |
#s(approx (* (* b b) 1/48) #s(hole binary64 (* 1/48 (pow b 2)))) |
#s(approx (* b b) #s(hole binary64 (pow b 2))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 2)) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 b))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#s(approx (pow (* (- (exp b) -1) (- (exp b) -1)) -1/2) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (* (- (exp b) -1) (- (exp b) -1)) #s(hole binary64 (pow (+ 1 (exp b)) 2))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (exp b) #s(hole binary64 (exp b))) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* 1/48 (pow b 3)))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2))))))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2))))))) |
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 (* 1/48 (pow b 2)))) |
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2))))))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* 1/2 (pow b 2)))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b))))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))))) |
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b))) |
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b))))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48))))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3)))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | b | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (pow (* (- (exp b) -1) (- (exp b) -1)) -1/2) (* (- (exp b) -1) (- (exp b) -1)) (- (exp b) -1) (exp b) b -1 -1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (- (* (* b b) 1/48) 1/4) (* (* b b) 1/48) (* b b) 1/48 1/4 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 1 2 (/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6 (exp b)) |
| 3.0ms | b | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (pow (* (- (exp b) -1) (- (exp b) -1)) -1/2) (* (- (exp b) -1) (- (exp b) -1)) (- (exp b) -1) (exp b) b -1 -1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (- (* (* b b) 1/48) 1/4) (* (* b b) 1/48) (* b b) 1/48 1/4 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 1 2 (/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6 (exp b)) |
| 3.0ms | b | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (pow (* (- (exp b) -1) (- (exp b) -1)) -1/2) (* (- (exp b) -1) (- (exp b) -1)) (- (exp b) -1) (exp b) b -1 -1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (- (* (* b b) 1/48) 1/4) (* (* b b) 1/48) (* b b) 1/48 1/4 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 1 2 (/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6 (exp b)) |
| 1.0ms | a | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (pow (* (- (exp b) -1) (- (exp b) -1)) -1/2) (* (- (exp b) -1) (- (exp b) -1)) (- (exp b) -1) (exp b) b -1 -1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (- (* (* b b) 1/48) 1/4) (* (* b b) 1/48) (* b b) 1/48 1/4 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 1 2 (/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6 (exp b)) |
| 1.0ms | a | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (pow (* (- (exp b) -1) (- (exp b) -1)) -1/2) (* (- (exp b) -1) (- (exp b) -1)) (- (exp b) -1) (exp b) b -1 -1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (- (* (* b b) 1/48) 1/4) (* (* b b) 1/48) (* b b) 1/48 1/4 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 1 2 (/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6 (exp b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 347 | 2059 |
| 0 | 373 | 1907 |
| 1 | 2002 | 1896 |
| 0 | 9223 | 1838 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) |
(-.f64 (exp.f64 b) #s(literal -1 binary64)) |
(exp.f64 b) |
b |
#s(literal -1 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) |
#s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)) |
(-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 b b) #s(literal 1/48 binary64)) |
(*.f64 b b) |
#s(literal 1/48 binary64) |
#s(literal 1/4 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64)) |
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(exp.f64 a) |
a |
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(approx (exp b) #s(literal 1 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* 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)))))) |
#s(approx (exp a) #s(hole binary64 1)) |
#s(approx (exp a) #s(hole binary64 (+ 1 a))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 a))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* 1/2 a)))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b))))) |
#s(approx (exp a) #s(hole binary64 (exp a))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* 1/6 (pow a 3)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3)))))))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* 1/6 (pow a 2)))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2))))))) |
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* 1/6 a))) |
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* a (+ 1/6 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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)))))) |
#s(approx (pow (* (- (exp b) -1) (- (exp b) -1)) -1/2) #s(hole binary64 1/2)) |
#s(approx (pow (* (- (exp b) -1) (- (exp b) -1)) -1/2) #s(hole binary64 (+ 1/2 (* -1/4 b)))) |
#s(approx (pow (* (- (exp b) -1) (- (exp b) -1)) -1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))))) |
#s(approx (pow (* (- (exp b) -1) (- (exp b) -1)) -1/2) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))))) |
#s(approx (* (- (exp b) -1) (- (exp b) -1)) #s(hole binary64 4)) |
#s(approx (* (- (exp b) -1) (- (exp b) -1)) #s(hole binary64 (+ 4 (* 4 b)))) |
#s(approx (* (- (exp b) -1) (- (exp b) -1)) #s(hole binary64 (+ 4 (* b (+ 4 (* 3 b)))))) |
#s(approx (* (- (exp b) -1) (- (exp b) -1)) #s(hole binary64 (+ 4 (* b (+ 4 (* b (+ 3 (* 5/3 b)))))))) |
#s(approx (- (exp b) -1) #s(hole binary64 2)) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#s(approx (exp b) #s(hole binary64 1)) |
#s(approx (exp b) #s(hole binary64 (+ 1 b))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 1/2)) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b)))) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))))) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b)))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))))) |
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 -1/4)) |
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4))) |
#s(approx (* (* b b) 1/48) #s(hole binary64 (* 1/48 (pow b 2)))) |
#s(approx (* b b) #s(hole binary64 (pow b 2))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 2)) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 b))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#s(approx (pow (* (- (exp b) -1) (- (exp b) -1)) -1/2) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (* (- (exp b) -1) (- (exp b) -1)) #s(hole binary64 (pow (+ 1 (exp b)) 2))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (exp b) #s(hole binary64 (exp b))) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* 1/48 (pow b 3)))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2))))))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2))))))) |
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 (* 1/48 (pow b 2)))) |
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2))))))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* 1/2 (pow b 2)))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b))))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))))) |
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b))) |
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b))))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48))))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3)))))))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (exp.f64 b))) #s(literal -1/2 binary64)) (pow.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (exp.f64 b))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (exp.f64 b)))) (neg.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (exp.f64 b))))) |
(*.f64 (fabs.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (exp.f64 b)))) (fabs.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (exp.f64 b))))) |
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(*.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (exp.f64 b))) (fabs.f64 (-.f64 #s(literal -1 binary64) (exp.f64 b)))) |
(*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) |
(pow.f64 (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (exp.f64 b))) #s(literal 2 binary64)) |
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 (+.f64 b b))) (*.f64 (+.f64 (exp.f64 b) #s(literal -1 binary64)) (+.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (+.f64 b b)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 (exp.f64 b) #s(literal -1 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64)) (expm1.f64 (+.f64 b b))) (*.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))) (+.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))) |
(fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) |
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(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) a)) |
(fma.f64 #s(literal -1/2 binary64) #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) a)) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) a)) |
(+.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))))) (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)) |
(*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(fabs.f64 #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(approx (exp b) #s(literal 1 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64))))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) |
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx a a) |
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+.f64 #s(literal 1 binary64) a)) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))) |
#s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/6 a) 1/2) (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
#s(approx (exp a) (exp.f64 a)) |
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (+.f64 (+.f64 (pow.f64 a #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 a #s(literal -2 binary64)))) (pow.f64 a #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (+.f64 (+.f64 (pow.f64 a #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 1/6 binary64)) (*.f64 a a))) |
#s(approx (+ (* 1/6 a) 1/2) (*.f64 #s(literal 1/6 binary64) a)) |
#s(approx (+ (* 1/6 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) a)) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1/2 binary64)) a)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 a #s(literal -2 binary64))) a)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (*.f64 b (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) #s(literal -1 binary64) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) b)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64)))) b)) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (pow (* (- (exp b) -1) (- (exp b) -1)) -1/2) #s(literal 1/2 binary64)) |
#s(approx (pow (* (- (exp b) -1) (- (exp b) -1)) -1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
#s(approx (pow (* (- (exp b) -1) (- (exp b) -1)) -1/2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))) |
#s(approx (pow (* (- (exp b) -1) (- (exp b) -1)) -1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))) |
#s(approx (* (- (exp b) -1) (- (exp b) -1)) #s(literal 4 binary64)) |
#s(approx (* (- (exp b) -1) (- (exp b) -1)) (fma.f64 #s(literal 4 binary64) b #s(literal 4 binary64))) |
#s(approx (* (- (exp b) -1) (- (exp b) -1)) (fma.f64 (fma.f64 #s(literal 3 binary64) b #s(literal 4 binary64)) b #s(literal 4 binary64))) |
#s(approx (* (- (exp b) -1) (- (exp b) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/3 binary64) b #s(literal 3 binary64)) b #s(literal 4 binary64)) b #s(literal 4 binary64))) |
#s(approx (- (exp b) -1) #s(literal 2 binary64)) |
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) |
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
#s(approx (exp b) #s(literal 1 binary64)) |
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) |
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) |
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))) |
#s(approx b b) |
#s(approx (pow (* (- (exp b) -1) (- (exp b) -1)) -1/2) #s(literal 1/2 binary64)) |
#s(approx (pow (* (- (exp b) -1) (- (exp b) -1)) -1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
#s(approx (pow (* (- (exp b) -1) (- (exp b) -1)) -1/2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))) |
#s(approx (pow (* (- (exp b) -1) (- (exp b) -1)) -1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))) |
#s(approx (- (* (* b b) 1/48) 1/4) #s(literal -1/4 binary64)) |
#s(approx (- (* (* b b) 1/48) 1/4) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) |
#s(approx (* (* b b) 1/48) (*.f64 (*.f64 b b) #s(literal 1/48 binary64))) |
#s(approx (* b b) (*.f64 b b)) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(literal 2 binary64)) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (+.f64 #s(literal 2 binary64) b)) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
#s(approx (+ (* 1/2 b) 1) #s(literal 1 binary64)) |
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64))) |
#s(approx (pow (* (- (exp b) -1) (- (exp b) -1)) -1/2) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) |
#s(approx (* (- (exp b) -1) (- (exp b) -1)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) |
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
#s(approx (exp b) (exp.f64 b)) |
#s(approx (pow (* (- (exp b) -1) (- (exp b) -1)) -1/2) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) |
#s(approx (- (* (* b b) 1/48) 1/4) (*.f64 (*.f64 b b) #s(literal 1/48 binary64))) |
#s(approx (- (* (* b b) 1/48) 1/4) (*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (*.f64 b b))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (*.f64 b b))) |
#s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) |
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64))))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64)))) (pow.f64 b #s(literal 3 binary64))))) |
Compiled 17 299 to 2 961 computations (82.9% saved)
17 alts after pruning (13 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 589 | 7 | 596 |
| Fresh | 2 | 6 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 593 | 17 | 610 |
| Status | Accuracy | Program |
|---|---|---|
| 45.8% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (*.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal -3 binary64)))))) | |
| ✓ | 65.0% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
| ✓ | 64.4% | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
| ▶ | 63.5% | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
| 57.5% | (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) | |
| 86.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (pow.f64 (pow.f64 a (exp.f64 a)) (exp.f64 (neg.f64 a))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))) | |
| ▶ | 87.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
| 42.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))) | |
| 42.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (* (- (exp b) -1) (- (exp b) -1)) (fma.f64 #s(literal 4 binary64) b #s(literal 4 binary64))) #s(literal -1/2 binary64))) | |
| 87.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) | |
| 58.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) | |
| ▶ | 42.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
| ✓ | 41.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
| 42.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (* b b) 1/48) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) | |
| ▶ | 8.9% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) |
| ✓ | 45.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) |
| ▶ | 45.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))) |
Compiled 736 to 495 computations (32.7% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(-.f64 (exp.f64 b) #s(literal -1 binary64)) |
(exp.f64 b) |
b |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) |
#s(literal 1/4 binary64) |
a |
#s(literal 1/2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) |
(*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) |
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) |
#s(literal -1/480 binary64) |
(*.f64 b b) |
#s(literal 1/48 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) |
#s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(exp.f64 a) |
(+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (exp b) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* 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)))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))) |
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 a)))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (exp a) #s(hole binary64 1)) |
#s(approx (exp a) #s(hole binary64 (+ 1 a))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 a))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))))) |
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (* 1/4 a))) |
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (* a (+ 1/4 (* 1/2 (/ 1 a)))))) |
#s(approx (exp a) #s(hole binary64 (exp a))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* 1/6 (pow a 3)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3)))))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b))))))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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)))))) |
#s(approx (pow (pow (- (exp b) -1) 2) -1/2) #s(hole binary64 1/2)) |
#s(approx (pow (pow (- (exp b) -1) 2) -1/2) #s(hole binary64 (+ 1/2 (* -1/4 b)))) |
#s(approx (pow (pow (- (exp b) -1) 2) -1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))))) |
#s(approx (pow (pow (- (exp b) -1) 2) -1/2) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))))) |
#s(approx (pow (- (exp b) -1) 2) #s(hole binary64 4)) |
#s(approx (pow (- (exp b) -1) 2) #s(hole binary64 (+ 4 (* 4 b)))) |
#s(approx (pow (- (exp b) -1) 2) #s(hole binary64 (+ 4 (* b (+ 4 (* 3 b)))))) |
#s(approx (pow (- (exp b) -1) 2) #s(hole binary64 (+ 4 (* b (+ 4 (* b (+ 3 (* 5/3 b)))))))) |
#s(approx (- (exp b) -1) #s(hole binary64 2)) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#s(approx (exp b) #s(hole binary64 1)) |
#s(approx (exp b) #s(hole binary64 (+ 1 b))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (* 1/4 a)))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4)))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4)))))) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 1/2)) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b)))) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))))) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b)))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))))) |
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 -1/4)) |
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4))) |
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))) |
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* 1/48 (pow b 2)))) |
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))))) |
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 1/48)) |
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (+ 1/48 (* -1/480 (pow b 2))))) |
#s(approx (* b b) #s(hole binary64 (pow b 2))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b)))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))))) |
#s(approx (* (pow b 3) 1/48) #s(hole binary64 (* 1/48 (pow b 3)))) |
#s(approx (pow b 3) #s(hole binary64 (pow b 3))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#s(approx (pow (pow (- (exp b) -1) 2) -1/2) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (pow (- (exp b) -1) 2) #s(hole binary64 (pow (+ 1 (exp b)) 2))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (exp b) #s(hole binary64 (exp b))) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1/480 (pow b 5)))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480)))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4))))))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4))))))) |
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* -1/480 (pow b 4)))) |
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480)))) |
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4))))))) |
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* -1/480 (pow b 4)))) |
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480)))) |
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (* -1/480 (pow b 2)))) |
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480)))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* 1/48 (pow b 3)))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2))))))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2))))))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2)))))))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2)))))))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5))))))))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48))))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3)))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | b | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (pow (pow (- (exp b) -1) 2) -1/2) (pow (- (exp b) -1) 2) (- (exp b) -1) (exp b) b -1 2 -1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (+ (* 1/4 a) 1/2) 1/4 a 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (+ (* -1/480 (* b b)) 1/48) -1/480 (* b b) 1/48 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (* (pow b 3) 1/48) (pow b 3) 3 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) 1 (exp b)) |
| 4.0ms | b | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (pow (pow (- (exp b) -1) 2) -1/2) (pow (- (exp b) -1) 2) (- (exp b) -1) (exp b) b -1 2 -1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (+ (* 1/4 a) 1/2) 1/4 a 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (+ (* -1/480 (* b b)) 1/48) -1/480 (* b b) 1/48 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (* (pow b 3) 1/48) (pow b 3) 3 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) 1 (exp b)) |
| 2.0ms | b | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (pow (pow (- (exp b) -1) 2) -1/2) (pow (- (exp b) -1) 2) (- (exp b) -1) (exp b) b -1 2 -1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (+ (* 1/4 a) 1/2) 1/4 a 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (+ (* -1/480 (* b b)) 1/48) -1/480 (* b b) 1/48 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (* (pow b 3) 1/48) (pow b 3) 3 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) 1 (exp b)) |
| 2.0ms | a | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (pow (pow (- (exp b) -1) 2) -1/2) (pow (- (exp b) -1) 2) (- (exp b) -1) (exp b) b -1 2 -1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (+ (* 1/4 a) 1/2) 1/4 a 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (+ (* -1/480 (* b b)) 1/48) -1/480 (* b b) 1/48 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (* (pow b 3) 1/48) (pow b 3) 3 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) 1 (exp b)) |
| 2.0ms | a | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (pow (pow (- (exp b) -1) 2) -1/2) (pow (- (exp b) -1) 2) (- (exp b) -1) (exp b) b -1 2 -1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (+ (* 1/4 a) 1/2) 1/4 a 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (+ (* -1/480 (* b b)) 1/48) -1/480 (* b b) 1/48 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (* (pow b 3) 1/48) (pow b 3) 3 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) 1 (exp b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 418 | 2855 |
| 0 | 442 | 2724 |
| 1 | 2396 | 2710 |
| 0 | 8172 | 2572 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(-.f64 (exp.f64 b) #s(literal -1 binary64)) |
(exp.f64 b) |
b |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) |
#s(literal 1/4 binary64) |
a |
#s(literal 1/2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) |
(*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) |
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) |
#s(literal -1/480 binary64) |
(*.f64 b b) |
#s(literal 1/48 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) |
#s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(exp.f64 a) |
(+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #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(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* 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)))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))) |
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 a)))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (exp a) #s(hole binary64 1)) |
#s(approx (exp a) #s(hole binary64 (+ 1 a))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 a))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))))) |
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (* 1/4 a))) |
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (* a (+ 1/4 (* 1/2 (/ 1 a)))))) |
#s(approx (exp a) #s(hole binary64 (exp a))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* 1/6 (pow a 3)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3)))))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b))))))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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)))))) |
#s(approx (pow (pow (- (exp b) -1) 2) -1/2) #s(hole binary64 1/2)) |
#s(approx (pow (pow (- (exp b) -1) 2) -1/2) #s(hole binary64 (+ 1/2 (* -1/4 b)))) |
#s(approx (pow (pow (- (exp b) -1) 2) -1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))))) |
#s(approx (pow (pow (- (exp b) -1) 2) -1/2) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))))) |
#s(approx (pow (- (exp b) -1) 2) #s(hole binary64 4)) |
#s(approx (pow (- (exp b) -1) 2) #s(hole binary64 (+ 4 (* 4 b)))) |
#s(approx (pow (- (exp b) -1) 2) #s(hole binary64 (+ 4 (* b (+ 4 (* 3 b)))))) |
#s(approx (pow (- (exp b) -1) 2) #s(hole binary64 (+ 4 (* b (+ 4 (* b (+ 3 (* 5/3 b)))))))) |
#s(approx (- (exp b) -1) #s(hole binary64 2)) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#s(approx (exp b) #s(hole binary64 1)) |
#s(approx (exp b) #s(hole binary64 (+ 1 b))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (* 1/4 a)))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4)))))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4)))))) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 1/2)) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b)))) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))))) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b)))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))))) |
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 -1/4)) |
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4))) |
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))) |
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* 1/48 (pow b 2)))) |
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))))) |
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 1/48)) |
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (+ 1/48 (* -1/480 (pow b 2))))) |
#s(approx (* b b) #s(hole binary64 (pow b 2))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b)))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))))) |
#s(approx (* (pow b 3) 1/48) #s(hole binary64 (* 1/48 (pow b 3)))) |
#s(approx (pow b 3) #s(hole binary64 (pow b 3))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#s(approx (pow (pow (- (exp b) -1) 2) -1/2) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (pow (- (exp b) -1) 2) #s(hole binary64 (pow (+ 1 (exp b)) 2))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (exp b) #s(hole binary64 (exp b))) |
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1/480 (pow b 5)))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480)))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4))))))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4))))))) |
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* -1/480 (pow b 4)))) |
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480)))) |
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4))))))) |
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* -1/480 (pow b 4)))) |
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480)))) |
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (* -1/480 (pow b 2)))) |
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480)))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* 1/48 (pow b 3)))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2))))))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2))))))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2)))))))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2)))))))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5))))))))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48))))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3)))))))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(*.f64 (fabs.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) (fabs.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(*.f64 (exp.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (exp.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
(*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 (+.f64 b b))) (*.f64 (+.f64 (exp.f64 b) #s(literal -1 binary64)) (+.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (+.f64 b b)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 (exp.f64 b) #s(literal -1 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64)) (expm1.f64 (+.f64 b b))) (*.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))) (+.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))) |
(exp.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 b b))) (neg.f64 (+.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))) |
(/.f64 (expm1.f64 (+.f64 b b)) (+.f64 (exp.f64 b) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (+.f64 (exp.f64 b) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))) |
(-.f64 (exp.f64 b) #s(literal -1 binary64)) |
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(exp.f64 b) |
(+.f64 (cosh.f64 b) (sinh.f64 b)) |
(pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 b #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) |
b |
(*.f64 #s(literal 8 binary64) #s(literal -1/8 binary64)) |
(*.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
(*.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1 binary64) #s(literal 1 binary64)) |
(pow.f64 #s(literal -1 binary64) #s(literal 9 binary64)) |
(pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) |
(/.f64 #s(literal -8 binary64) #s(literal 8 binary64)) |
(/.f64 #s(literal -4 binary64) #s(literal 4 binary64)) |
(/.f64 #s(literal -2 binary64) #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) #s(literal -2 binary64)) |
(neg.f64 #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) #s(literal -1 binary64) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 2 binary64) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) |
(+.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) |
#s(literal -1 binary64) |
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 8 binary64) #s(literal 4 binary64)) |
(/.f64 #s(literal -4 binary64) #s(literal -2 binary64)) |
(/.f64 #s(literal 4 binary64) #s(literal 2 binary64)) |
(neg.f64 #s(literal -2 binary64)) |
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fabs.f64 #s(literal 2 binary64)) |
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(*.f64 #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) |
(neg.f64 #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64) #s(literal -1/4 binary64)) |
(fma.f64 #s(literal -1/2 binary64) #s(literal 1/2 binary64) #s(literal -1/4 binary64)) |
(+.f64 #s(literal -1/4 binary64) #s(literal -1/4 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))) |
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 a #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))))) |
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) a)) |
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) a)) |
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))) (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) a)) |
(+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))))) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)))))) |
(+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) |
(*.f64 #s(literal 1/6 binary64) #s(literal 3/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) |
(pow.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)) |
(neg.f64 #s(literal -1/4 binary64)) |
(fabs.f64 #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 a #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 1 binary64))) |
a |
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(neg.f64 #s(literal -1/2 binary64)) |
(fabs.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))) |
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(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b))) |
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b))) |
(*.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b))) |
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b))) |
(*.f64 (neg.f64 b) (neg.f64 b)) |
(*.f64 (fabs.f64 b) (fabs.f64 b)) |
(*.f64 b b) |
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 b) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 b) #s(literal 2 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 1 binary64)) |
(pow.f64 b #s(literal 2 binary64)) |
(fabs.f64 (*.f64 b b)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/48 binary64) #s(literal 1 binary64)) |
(fabs.f64 #s(literal 1/48 binary64)) |
#s(literal 1/48 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) |
#s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)) |
(*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 (neg.f64 (pow.f64 b #s(literal 3/2 binary64))) (neg.f64 (pow.f64 b #s(literal 3/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 b #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 b #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64))) |
(*.f64 (*.f64 b b) b) |
(*.f64 b (*.f64 b b)) |
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 3/2 binary64)) |
(pow.f64 b #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)))) |
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 3/2 binary64) #s(literal 1 binary64) #s(literal 3/2 binary64)) |
(fma.f64 #s(literal 2 binary64) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fabs.f64 #s(literal 3 binary64)) |
(+.f64 #s(literal 3/2 binary64) #s(literal 3/2 binary64)) |
(+.f64 #s(literal 2 binary64) #s(literal 1 binary64)) |
#s(literal 3 binary64) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64)))))) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))))) |
(+.f64 (/.f64 (cosh.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))))) (/.f64 (sinh.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64)))))) |
(exp.f64 a) |
(+.f64 (cosh.f64 a) (sinh.f64 a)) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64)))) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) (-.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64)))) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) (-.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64)))) (-.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))) |
(+.f64 (/.f64 (pow.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) (-.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))))) (/.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) (-.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #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(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64)))) |
(+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) |
(pow.f64 #s(literal 1 binary64) #s(literal 6 binary64)) |
(pow.f64 #s(literal 1 binary64) #s(literal 9 binary64)) |
(pow.f64 #s(literal 1 binary64) #s(literal 4 binary64)) |
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(pow.f64 #s(literal -1 binary64) #s(literal 6 binary64)) |
(pow.f64 #s(literal -1 binary64) #s(literal 4 binary64)) |
(pow.f64 #s(literal -1 binary64) #s(literal 2 binary64)) |
(/.f64 #s(literal 8 binary64) #s(literal 8 binary64)) |
(/.f64 #s(literal 4 binary64) #s(literal 4 binary64)) |
(/.f64 #s(literal -2 binary64) #s(literal -2 binary64)) |
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64)) |
(neg.f64 #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) #s(literal -1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 0 binary64)) |
(cosh.f64 #s(literal 0 binary64)) |
(fabs.f64 #s(literal 1 binary64)) |
(fabs.f64 #s(literal -1 binary64)) |
(exp.f64 #s(literal 0 binary64)) |
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64)) |
(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal 1 binary64) |
#s(approx (exp b) #s(literal 1 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64))))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) |
#s(approx (+ (* 1/4 a) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/4 a) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))) |
#s(approx a a) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) |
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+.f64 #s(literal 1 binary64) a)) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a)) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (*.f64 (-.f64 (/.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a)) |
#s(approx (+ (* 1/4 a) 1/2) (*.f64 #s(literal 1/4 binary64) a)) |
#s(approx (+ (* 1/4 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) a)) |
#s(approx (exp a) (exp.f64 a)) |
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (+.f64 (+.f64 (pow.f64 a #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 a #s(literal -2 binary64)))) (pow.f64 a #s(literal 3 binary64)))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (neg.f64 (*.f64 (-.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a) #s(literal -1 binary64))) a))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1/2 binary64)) a)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 a #s(literal -2 binary64))) a)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (*.f64 b (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) #s(literal -1 binary64) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) b)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64)))) b)) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)) |
#s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))) |
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))) |
#s(approx (pow (- (exp b) -1) 2) #s(literal 4 binary64)) |
#s(approx (pow (- (exp b) -1) 2) (fma.f64 #s(literal 4 binary64) b #s(literal 4 binary64))) |
#s(approx (pow (- (exp b) -1) 2) (fma.f64 (fma.f64 #s(literal 3 binary64) b #s(literal 4 binary64)) b #s(literal 4 binary64))) |
#s(approx (pow (- (exp b) -1) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/3 binary64) b #s(literal 3 binary64)) b #s(literal 4 binary64)) b #s(literal 4 binary64))) |
#s(approx (- (exp b) -1) #s(literal 2 binary64)) |
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) |
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
#s(approx (exp b) #s(literal 1 binary64)) |
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) |
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) |
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))) |
#s(approx b b) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (+.f64 (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (+.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b a) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (+.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) a (*.f64 #s(literal 1/48 binary64) b)) b) #s(literal 1/4 binary64)) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64))) |
#s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)) |
#s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))) |
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))) |
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) |
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) |
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64))) |
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (*.f64 (*.f64 b b) #s(literal 1/48 binary64))) |
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b)) |
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(literal 1/48 binary64)) |
#s(approx (+ (* -1/480 (* b b)) 1/48) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) |
#s(approx (* b b) (*.f64 b b)) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))) |
#s(approx (* (pow b 3) 1/48) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))) |
#s(approx (pow b 3) (pow.f64 b #s(literal 3 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64))) |
#s(approx (pow (- (exp b) -1) -1) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) |
#s(approx (pow (- (exp b) -1) 2) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) |
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
#s(approx (exp b) (exp.f64 b)) |
#s(approx (pow (- (exp b) -1) -1) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64)) #s(literal 1/480 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64)) #s(literal 1/480 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 5 binary64)))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 b #s(literal -5 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64))) #s(literal 1/480 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 5 binary64)))) |
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/480 binary64))) |
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (*.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64)) #s(literal 1/480 binary64)))) |
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64)) #s(literal 1/480 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64)))) |
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/480 binary64))) |
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64)) #s(literal 1/480 binary64)))) |
#s(approx (+ (* -1/480 (* b b)) 1/48) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) |
#s(approx (+ (* -1/480 (* b b)) 1/48) (*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64)) #s(literal 1/480 binary64)) (*.f64 b b))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (-.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 b #s(literal 3 binary64)))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/48 binary64)) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 b #s(literal 3 binary64)))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/480 binary64) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64))) (pow.f64 b #s(literal 5 binary64))))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/480 binary64)) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64))) (pow.f64 b #s(literal 5 binary64))))) |
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/480 binary64)) (fma.f64 (pow.f64 b #s(literal -5 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64)))) (pow.f64 b #s(literal 5 binary64))))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64))))) |
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64)))) (pow.f64 b #s(literal 3 binary64))))) |
Compiled 14 519 to 2 110 computations (85.5% saved)
22 alts after pruning (15 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 405 | 9 | 414 |
| Fresh | 2 | 6 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 409 | 22 | 431 |
| Status | Accuracy | Program |
|---|---|---|
| 45.8% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (*.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal -3 binary64)))))) | |
| ✓ | 65.0% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
| ✓ | 64.4% | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
| 44.7% | (/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) | |
| 44.8% | (/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) | |
| 44.8% | (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) | |
| 57.5% | (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) | |
| 86.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (pow.f64 (pow.f64 a (exp.f64 a)) (exp.f64 (neg.f64 a))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))) | |
| ✓ | 87.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
| 42.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (- (exp b) -1) 2) (fma.f64 #s(literal 4 binary64) b #s(literal 4 binary64))) #s(literal -1/2 binary64))) | |
| 42.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))) | |
| 87.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) | |
| 58.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) | |
| ✓ | 42.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
| ✓ | 41.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
| 42.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) | |
| 11.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64))))) | |
| 8.9% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64))))) | |
| ✓ | 45.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) |
| ✓ | 45.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))) |
| 45.5% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) a)))) | |
| 4.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 #s(literal 1/4 binary64) a)))) |
Compiled 1 483 to 595 computations (59.9% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 #s(literal 1/4 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (* b b) 1/48) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (* (- (exp b) -1) (- (exp b) -1)) (fma.f64 #s(literal 4 binary64) b #s(literal 4 binary64))) #s(literal -1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (- (exp b) -1) 2) (fma.f64 #s(literal 4 binary64) b #s(literal 4 binary64))) #s(literal -1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 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)))) |
(/.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(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/2 binary64))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (*.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal -3 binary64)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 a) (sinh.f64 a))) (-.f64 (cosh.f64 a) (sinh.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (pow.f64 (pow.f64 a (exp.f64 a)) (exp.f64 (neg.f64 a))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
5 calls:
| 9.0ms | b |
| 9.0ms | a |
| 7.0ms | (exp.f64 a) |
| 6.0ms | (exp.f64 b) |
| 6.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | (exp.f64 b) |
| 99.2% | 1 | (exp.f64 a) |
| 99.2% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 99.2% | 1 | a |
| 99.2% | 1 | b |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 #s(literal 1/4 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (* b b) 1/48) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (* (- (exp b) -1) (- (exp b) -1)) (fma.f64 #s(literal 4 binary64) b #s(literal 4 binary64))) #s(literal -1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (- (exp b) -1) 2) (fma.f64 #s(literal 4 binary64) b #s(literal 4 binary64))) #s(literal -1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 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)))) |
(/.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(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/2 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))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
5 calls:
| 8.0ms | (exp.f64 a) |
| 8.0ms | b |
| 8.0ms | a |
| 6.0ms | (exp.f64 b) |
| 5.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | (exp.f64 b) |
| 98.2% | 2 | (exp.f64 a) |
| 87.6% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 98.2% | 2 | a |
| 99.5% | 3 | b |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 #s(literal 1/4 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (* b b) 1/48) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (* (- (exp b) -1) (- (exp b) -1)) (fma.f64 #s(literal 4 binary64) b #s(literal 4 binary64))) #s(literal -1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (- (exp b) -1) 2) (fma.f64 #s(literal 4 binary64) b #s(literal 4 binary64))) #s(literal -1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 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)))) |
(/.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(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 #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)))) |
2 calls:
| 7.0ms | a |
| 6.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 2 | (exp.f64 a) |
| 98.2% | 2 | a |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 #s(literal 1/4 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (* b b) 1/48) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (* (- (exp b) -1) (- (exp b) -1)) (fma.f64 #s(literal 4 binary64) b #s(literal 4 binary64))) #s(literal -1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (- (exp b) -1) 2) (fma.f64 #s(literal 4 binary64) b #s(literal 4 binary64))) #s(literal -1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 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)))) |
| Outputs |
|---|
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) 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)))) |
4 calls:
| 6.0ms | a |
| 6.0ms | b |
| 4.0ms | (exp.f64 a) |
| 4.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.8% | 3 | (exp.f64 b) |
| 95.8% | 3 | b |
| 92.3% | 2 | (exp.f64 a) |
| 96.0% | 2 | a |
Compiled 6 to 10 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 #s(literal 1/4 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (* b b) 1/48) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (* (- (exp b) -1) (- (exp b) -1)) (fma.f64 #s(literal 4 binary64) b #s(literal 4 binary64))) #s(literal -1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (- (exp b) -1) 2) (fma.f64 #s(literal 4 binary64) b #s(literal 4 binary64))) #s(literal -1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) 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 (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
5 calls:
| 7.0ms | b |
| 6.0ms | a |
| 4.0ms | (exp.f64 b) |
| 4.0ms | (exp.f64 a) |
| 4.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.9% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 65.6% | 2 | (exp.f64 a) |
| 71.1% | 2 | b |
| 68.8% | 2 | (exp.f64 b) |
| 68.9% | 2 | a |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 #s(literal 1/4 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (* b b) 1/48) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
4 calls:
| 6.0ms | (exp.f64 a) |
| 4.0ms | a |
| 4.0ms | b |
| 3.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.0% | 1 | (exp.f64 a) |
| 61.1% | 2 | (exp.f64 b) |
| 61.4% | 2 | a |
| 61.1% | 2 | b |
Compiled 6 to 10 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 #s(literal 1/4 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (* b b) 1/48) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))) |
5 calls:
| 3.0ms | a |
| 3.0ms | b |
| 2.0ms | (exp.f64 b) |
| 2.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 2.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.2% | 2 | (exp.f64 a) |
| 52.0% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 45.6% | 1 | (exp.f64 b) |
| 45.6% | 1 | b |
| 52.2% | 2 | a |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 #s(literal 1/4 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (* b b) 1/48) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))) |
3 calls:
| 4.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 2.0ms | a |
| 2.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.6% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 45.6% | 1 | (exp.f64 a) |
| 45.6% | 1 | a |
Compiled 11 to 11 computations (0% saved)
Total -26.5b remaining (-75.5%)
Threshold costs -26.5b (-75.5%)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(approx (+ (* 1/4 a) 1/2) (*.f64 #s(literal 1/4 binary64) a)))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) |
5 calls:
| 1.0ms | b |
| 1.0ms | a |
| 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 |
|---|---|---|
| 45.1% | 1 | (exp.f64 a) |
| 45.1% | 1 | a |
| 45.1% | 1 | (exp.f64 b) |
| 45.1% | 1 | b |
| 45.1% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 14 to 16 computations (-14.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | -91145128.94289343 | -7101506.790770244 |
| 5.0ms | 96× | 0 | valid |
Compiled 185 to 167 computations (9.7% saved)
ival-exp: 2.0ms (80.3% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)ival-div!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -91145128.94289343 | -7101506.790770244 |
Compiled 173 to 155 computations (10.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | -1.4303876743748171e+107 | -1.7352366200550237e+94 |
| 7.0ms | 160× | 0 | valid |
| 2.0ms | 43× | 0 | exit |
Compiled 391 to 301 computations (23% saved)
ival-exp: 3.0ms (66.7% of total)ival-add!: 1.0ms (22.2% of total)ival-div!: 1.0ms (22.2% of total)adjust: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.0042346552847819e+153 | 2.9607329711927033e+157 |
| 6.0ms | 128× | 0 | valid |
Compiled 379 to 275 computations (27.4% saved)
ival-exp: 2.0ms (70.7% of total)ival-div!: 1.0ms (35.4% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | -1.4303876743748171e+107 | -1.7352366200550237e+94 |
| 6.0ms | 144× | 0 | valid |
| 1.0ms | 25× | 0 | exit |
Compiled 591 to 431 computations (27.1% saved)
ival-exp: 2.0ms (52.9% of total)ival-div!: 1.0ms (26.4% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -91145128.94289343 | -7101506.790770244 |
Compiled 437 to 281 computations (35.7% saved)
| 1× | fuel |
Compiled 354 to 82 computations (76.8% saved)
Compiled 740 to 190 computations (74.3% saved)
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