
Time bar (total: 3.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 2 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 3 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 4 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 5 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 6 |
| 95.2% | 93.7% | 4.7% | 0.1% | 0% | 1.6% | 0% | 7 |
| 96% | 93.7% | 3.9% | 0.1% | 0% | 2.3% | 0% | 8 |
| 97.2% | 93.7% | 2.7% | 0.1% | 0% | 3.5% | 0% | 9 |
| 97.8% | 93.7% | 2.1% | 0.1% | 0% | 4.1% | 0% | 10 |
| 98.5% | 93.7% | 1.5% | 0.1% | 0% | 4.8% | 0% | 11 |
| 98.8% | 93.7% | 1.1% | 0.1% | 0% | 5.1% | 0% | 12 |
Compiled 10 to 8 computations (20% saved)
| 510.0ms | 8 256× | 0 | valid |
| 220.0ms | 2 953× | 0 | exit |
ival-exp: 217.0ms (54.4% of total)ival-div: 93.0ms (23.3% of total)ival-add: 82.0ms (20.5% of total)ival-assert: 4.0ms (1% of total)adjust: 3.0ms (0.8% 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 | 78 | |
| ↳ | (exp.f64 a) | overflow | 2 | |
| ↳ | (exp.f64 b) | overflow | 76 |
| 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 |
| 27.0ms | 512× | 0 | valid |
Compiled 50 to 22 computations (56% saved)
ival-exp: 7.0ms (51.7% of total)ival-div: 3.0ms (22.2% of total)ival-add: 2.0ms (14.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 56 |
| 1 | 46 | 56 |
| 2 | 147 | 56 |
| 3 | 563 | 51 |
| 4 | 3260 | 51 |
| 0 | 6 | 8 |
| 0 | 10 | 8 |
| 1 | 17 | 8 |
| 2 | 43 | 8 |
| 3 | 119 | 8 |
| 4 | 582 | 8 |
| 5 | 5983 | 8 |
| 0 | 8050 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
Compiled 8 to 6 computations (25% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.2% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 8 to 6 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 | |
|---|---|---|---|---|
| 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 | 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 | b | @ | -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 | 8044 | 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 1 313 to 267 computations (79.7% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 60 | 5 | 65 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 61 | 5 | 66 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 67.2% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
| ▶ | 71.8% | (+.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
| ▶ | 83.9% | #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)))) |
| ▶ | 65.5% | #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))))) |
| ▶ | 83.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
Compiled 198 to 124 computations (37.4% saved)
| Inputs |
|---|
#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 -1 binary64)) |
(-.f64 (exp.f64 b) #s(literal -1 binary64)) |
(exp.f64 b) |
b |
#s(literal -1 binary64) |
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
a |
#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)))) |
(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) |
#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))))) |
(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)))) |
(neg.f64 b) |
(exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) |
(-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) |
(*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) |
(log1p.f64 (exp.f64 a)) |
#s(literal 2 binary64) |
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
(-.f64 (exp.f64 a) #s(literal -1 binary64)) |
(+.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(cosh.f64 a) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(sinh.f64 a) |
| 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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1 (* b (exp (neg (* 2 (log 2))))))))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* 1/4 a))))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2))))))))))))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/4 (* b (exp (neg (* 2 (log 2)))))))))))))) |
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (neg (* 2 (log 2)))))) |
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* -1/4 (* (pow a 2) (exp (neg (* 2 (log 2))))))))) |
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* (pow a 2) (+ (* -1/4 (exp (neg (* 2 (log 2))))) (* 1/24 (* (pow a 2) (exp (neg (* 2 (log 2))))))))))) |
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* (pow a 2) (+ (* -1/4 (exp (neg (* 2 (log 2))))) (* (pow a 2) (+ (* -17/2880 (* (pow a 2) (exp (neg (* 2 (log 2)))))) (* 1/24 (exp (neg (* 2 (log 2)))))))))))) |
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* -2 (log 2)))) |
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* -1/4 (pow a 2)) (* 2 (log 2))))) |
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* (pow a 2) (- (* 1/96 (pow a 2)) 1/4)) (* 2 (log 2))))) |
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* (pow a 2) (- (* (pow a 2) (+ 1/96 (* -1/1440 (pow a 2)))) 1/4)) (* 2 (log 2))))) |
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (* 2 (log 2)))) |
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ a (* 2 (log 2))))) |
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* 1/4 a)))))) |
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* a (+ 1/4 (* -1/96 (pow a 2))))))))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))))) |
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 1/2)) |
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* 1/4 a)))) |
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))))) |
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))))) |
#s(approx (- (exp a) -1) #s(hole binary64 2)) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a))) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #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 (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 7/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 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 (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* -1 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b)))))) |
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* a (- (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))) |
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* a (- (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))) |
#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 (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ a (exp b))))) |
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))) |
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))) |
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (/ a (+ 1 (exp b))))) |
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* a (+ (* -1 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b))))))) |
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* a (+ (* a (- (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))) |
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* a (+ (* a (- (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/3 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))) |
#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 (/ (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))) (/ (exp a) (+ 1 (exp a)))))) |
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (- a (* 2 (log (+ 1 (exp a)))))))) |
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 a)) |
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* a (+ 1 (* -2 (/ (log (+ 1 (exp a))) a)))))) |
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (* 2 (log (+ 1 (exp a)))))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a))))) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a)))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ (exp a) (exp b)))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ (exp a) (exp b))))))) |
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ (exp a) (exp b)))))) |
#s(approx (cosh a) #s(hole binary64 (* 1/2 (+ (exp a) (/ 1 (exp a)))))) |
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ (exp a) (exp b)))) |
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ (exp a) (exp b)))))) |
#s(approx (sinh a) #s(hole binary64 (* 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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a))))))))) (/ (exp a) (+ 1 (exp a)))))) |
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a))))))))) |
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* -1 (* a (- (* 2 (/ (log (+ 1 (exp a))) a)) 1))))) |
#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) (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) -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) -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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a))))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a))))))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* -1 (* b (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))))))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* -1 (* b (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1 (/ (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* -1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* 1/12 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/12 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))))) (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))))) |
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))))) |
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* -1/2 (/ (* b (+ (exp a) (/ 1 (exp a)))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a))))))) |
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* -1 (* b (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))) |
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/12 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))) (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))) |
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (exp a)))) |
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ b (exp a))))) |
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))) |
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))))) |
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* -1/2 (/ (* b (- (exp a) (/ 1 (exp a)))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a))))))) |
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* -1 (* b (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))) |
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/12 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))) (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))) |
#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) -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) -2) #s(hole binary64 (/ 1 (pow (+ 1 (exp b)) 2)))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (+ (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))) (/ (exp a) (* b (+ 1 (exp a)))))))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (exp (- a (* 2 (log (+ 1 (exp a)))))) (* -1 (/ (exp a) (* b (+ 1 (exp a)))))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 77.0ms | a | @ | 0 | ((/ (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) -1) (- (exp b) -1) (exp b) b -1 (pow (- (exp b) -1) -2) -2 a (/ (exp a) (+ (exp a) (exp b))) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) 1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (neg b) (exp (- a (* (log (+ 1 (exp a))) 2))) (- a (* (log (+ 1 (exp a))) 2)) (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) 2 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (/ (cosh a) (+ (exp b) (exp a))) (cosh a) (+ (exp b) (exp a)) (/ (sinh a) (+ (exp b) (exp a))) (sinh a)) |
| 52.0ms | a | @ | -inf | ((/ (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) -1) (- (exp b) -1) (exp b) b -1 (pow (- (exp b) -1) -2) -2 a (/ (exp a) (+ (exp a) (exp b))) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) 1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (neg b) (exp (- a (* (log (+ 1 (exp a))) 2))) (- a (* (log (+ 1 (exp a))) 2)) (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) 2 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (/ (cosh a) (+ (exp b) (exp a))) (cosh a) (+ (exp b) (exp a)) (/ (sinh a) (+ (exp b) (exp a))) (sinh a)) |
| 47.0ms | a | @ | inf | ((/ (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) -1) (- (exp b) -1) (exp b) b -1 (pow (- (exp b) -1) -2) -2 a (/ (exp a) (+ (exp a) (exp b))) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) 1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (neg b) (exp (- a (* (log (+ 1 (exp a))) 2))) (- a (* (log (+ 1 (exp a))) 2)) (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) 2 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (/ (cosh a) (+ (exp b) (exp a))) (cosh a) (+ (exp b) (exp a)) (/ (sinh a) (+ (exp b) (exp a))) (sinh a)) |
| 8.0ms | b | @ | 0 | ((/ (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) -1) (- (exp b) -1) (exp b) b -1 (pow (- (exp b) -1) -2) -2 a (/ (exp a) (+ (exp a) (exp b))) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) 1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (neg b) (exp (- a (* (log (+ 1 (exp a))) 2))) (- a (* (log (+ 1 (exp a))) 2)) (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) 2 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (/ (cosh a) (+ (exp b) (exp a))) (cosh a) (+ (exp b) (exp a)) (/ (sinh a) (+ (exp b) (exp a))) (sinh a)) |
| 7.0ms | b | @ | inf | ((/ (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) -1) (- (exp b) -1) (exp b) b -1 (pow (- (exp b) -1) -2) -2 a (/ (exp a) (+ (exp a) (exp b))) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) 1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (neg b) (exp (- a (* (log (+ 1 (exp a))) 2))) (- a (* (log (+ 1 (exp a))) 2)) (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) 2 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (/ (cosh a) (+ (exp b) (exp a))) (cosh a) (+ (exp b) (exp a)) (/ (sinh a) (+ (exp b) (exp a))) (sinh a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 699 | 4812 |
| 0 | 752 | 4413 |
| 1 | 4484 | 4239 |
| 0 | 8599 | 4068 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 -1 binary64)) |
(-.f64 (exp.f64 b) #s(literal -1 binary64)) |
(exp.f64 b) |
b |
#s(literal -1 binary64) |
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
a |
#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)))) |
(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) |
#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))))) |
(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)))) |
(neg.f64 b) |
(exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) |
(-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) |
(*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) |
(log1p.f64 (exp.f64 a)) |
#s(literal 2 binary64) |
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
(-.f64 (exp.f64 a) #s(literal -1 binary64)) |
(+.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(cosh.f64 a) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(sinh.f64 a) |
#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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1 (* b (exp (neg (* 2 (log 2))))))))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* 1/4 a))))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2))))))))))))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/4 (* b (exp (neg (* 2 (log 2)))))))))))))) |
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (neg (* 2 (log 2)))))) |
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* -1/4 (* (pow a 2) (exp (neg (* 2 (log 2))))))))) |
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* (pow a 2) (+ (* -1/4 (exp (neg (* 2 (log 2))))) (* 1/24 (* (pow a 2) (exp (neg (* 2 (log 2))))))))))) |
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* (pow a 2) (+ (* -1/4 (exp (neg (* 2 (log 2))))) (* (pow a 2) (+ (* -17/2880 (* (pow a 2) (exp (neg (* 2 (log 2)))))) (* 1/24 (exp (neg (* 2 (log 2)))))))))))) |
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* -2 (log 2)))) |
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* -1/4 (pow a 2)) (* 2 (log 2))))) |
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* (pow a 2) (- (* 1/96 (pow a 2)) 1/4)) (* 2 (log 2))))) |
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* (pow a 2) (- (* (pow a 2) (+ 1/96 (* -1/1440 (pow a 2)))) 1/4)) (* 2 (log 2))))) |
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (* 2 (log 2)))) |
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ a (* 2 (log 2))))) |
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* 1/4 a)))))) |
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* a (+ 1/4 (* -1/96 (pow a 2))))))))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))))) |
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 1/2)) |
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* 1/4 a)))) |
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))))) |
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))))) |
#s(approx (- (exp a) -1) #s(hole binary64 2)) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a))) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #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 (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 7/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 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 (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* -1 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b)))))) |
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* a (- (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))) |
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* a (- (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))) |
#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 (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ a (exp b))))) |
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))) |
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))) |
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (/ a (+ 1 (exp b))))) |
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* a (+ (* -1 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b))))))) |
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* a (+ (* a (- (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))) |
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* a (+ (* a (- (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/3 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))) |
#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 (/ (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))) (/ (exp a) (+ 1 (exp a)))))) |
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (- a (* 2 (log (+ 1 (exp a)))))))) |
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 a)) |
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* a (+ 1 (* -2 (/ (log (+ 1 (exp a))) a)))))) |
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (* 2 (log (+ 1 (exp a)))))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a))))) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a)))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ (exp a) (exp b)))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ (exp a) (exp b))))))) |
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ (exp a) (exp b)))))) |
#s(approx (cosh a) #s(hole binary64 (* 1/2 (+ (exp a) (/ 1 (exp a)))))) |
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ (exp a) (exp b)))) |
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ (exp a) (exp b)))))) |
#s(approx (sinh a) #s(hole binary64 (* 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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a))))))))) (/ (exp a) (+ 1 (exp a)))))) |
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a))))))))) |
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* -1 (* a (- (* 2 (/ (log (+ 1 (exp a))) a)) 1))))) |
#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) (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) -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) -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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a))))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a))))))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* -1 (* b (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))))))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* -1 (* b (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1 (/ (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* -1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* 1/12 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/12 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))))) (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))))) |
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))))) |
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* -1/2 (/ (* b (+ (exp a) (/ 1 (exp a)))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a))))))) |
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* -1 (* b (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))) |
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/12 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))) (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))) |
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (exp a)))) |
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ b (exp a))))) |
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))) |
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))))) |
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* -1/2 (/ (* b (- (exp a) (/ 1 (exp a)))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a))))))) |
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* -1 (* b (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))) |
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/12 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))) (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))) |
#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) -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) -2) #s(hole binary64 (/ 1 (pow (+ 1 (exp b)) 2)))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (+ (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))) (/ (exp a) (* b (+ 1 (exp a)))))))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (exp (- a (* 2 (log (+ 1 (exp a)))))) (* -1 (/ (exp a) (* b (+ 1 (exp a)))))))))) |
| Outputs |
|---|
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp 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)))) |
(/.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))) |
(*.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 -1/2 binary64)) #s(literal 2 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)) |
b |
#s(literal -1 binary64) |
(*.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) (fabs.f64 (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 -1 binary64))) |
(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)) |
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64) (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -2 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -2 binary64)))) |
#s(literal -2 binary64) |
a |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))) |
(exp.f64 a) |
(+.f64 (cosh.f64 a) (sinh.f64 a)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))) |
(+.f64 #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) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) b) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))))) |
(fma.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) b) #s(literal -1 binary64) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(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)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (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)))) |
(+.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b))) |
(+.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 b #s(literal -1 binary64)) |
(neg.f64 b) |
(*.f64 (exp.f64 a) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64)))) |
(*.f64 (exp.f64 a) (exp.f64 (*.f64 #s(literal -2 binary64) (log1p.f64 (exp.f64 a))))) |
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) |
(/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) |
(exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (sinh.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 a a (+.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))) |
(-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) |
(+.f64 a (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64))) |
(+.f64 a (*.f64 #s(literal -2 binary64) (log1p.f64 (exp.f64 a)))) |
(*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))) |
(+.f64 (log1p.f64 (exp.f64 a)) (log1p.f64 (exp.f64 a))) |
(log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) |
(log1p.f64 (exp.f64 a)) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(-.f64 (log1p.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
#s(literal 2 binary64) |
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 (exp.f64 a) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))) |
(-.f64 (exp.f64 a) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))) (-.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 (pow.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)) (*.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))))) |
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(/.f64 (fma.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)) (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (sinh.f64 a))) (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (cosh.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 (neg.f64 (cosh.f64 a)) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 (neg.f64 a)))) #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 (-.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 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 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)) (exp.f64 (+.f64 b a))))) |
(/.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)) |
(/.f64 (sinh.f64 (neg.f64 a)) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64)) |
(sinh.f64 a) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (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) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (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 (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (neg.f64 b) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) b) a) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) |
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(literal 1/4 binary64)) |
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) #s(literal -1/4 binary64) #s(literal 1/4 binary64))) |
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) #s(literal -1/16 binary64)) (*.f64 a a) #s(literal 1/4 binary64))) |
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/2880 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/96 binary64)) (*.f64 a a) #s(literal -1/16 binary64)) (*.f64 a a) #s(literal 1/4 binary64))) |
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (log.f64 #s(literal 1/4 binary64))) |
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (fma.f64 (*.f64 a a) #s(literal -1/4 binary64) (log.f64 #s(literal 1/4 binary64)))) |
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) (*.f64 a a) (log.f64 #s(literal 1/4 binary64)))) |
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 a a) #s(literal 1/96 binary64)) (*.f64 a a)) #s(literal 1/4 binary64)) (*.f64 a a) (log.f64 #s(literal 1/4 binary64)))) |
#s(approx (* (log (+ 1 (exp a))) 2) (log.f64 #s(literal 4 binary64))) |
#s(approx (* (log (+ 1 (exp a))) 2) (-.f64 a (log.f64 #s(literal 1/4 binary64)))) |
#s(approx (* (log (+ 1 (exp a))) 2) (fma.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1 binary64)) a (log.f64 #s(literal 4 binary64)))) |
#s(approx (* (log (+ 1 (exp a))) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1 binary64)) a (log.f64 #s(literal 4 binary64)))) |
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) |
#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (- (exp a) -1)) #s(literal 1/2 binary64)) |
#s(approx (/ (exp a) (- (exp a) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (- (exp a) -1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (- (exp a) -1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/480 binary64) (*.f64 a a)) #s(literal 1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))) |
#s(approx (- (exp a) -1) #s(literal 2 binary64)) |
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a)) |
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))) |
#s(approx (- (exp 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 2 binary64))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (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) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (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 (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (fma.f64 #s(literal 7/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -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 (/ (cosh a) (+ (exp b) (exp a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) |
#s(approx (/ (cosh a) (+ (exp b) (exp a))) (fma.f64 (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) |
#s(approx (/ (cosh a) (+ (exp b) (exp a))) (fma.f64 (-.f64 (*.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 1/2 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 -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) |
#s(approx (/ (cosh a) (+ (exp b) (exp a))) (fma.f64 (-.f64 (*.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (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)) (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 1/2 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 -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #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 (+ (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 (/ (sinh a) (+ (exp b) (exp a))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
#s(approx (/ (sinh a) (+ (exp b) (exp a))) (*.f64 (fma.f64 (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) a)) |
#s(approx (/ (sinh a) (+ (exp b) (exp a))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) a) (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))) a)) |
#s(approx (/ (sinh a) (+ (exp b) (exp a))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64)))) a (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 #s(literal 1/2 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 -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) 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) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (/.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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) |
#s(approx (- a (* (log (+ 1 (exp a))) 2)) a) |
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (*.f64 (fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) a) #s(literal -2 binary64) #s(literal 1 binary64)) a)) |
#s(approx (* (log (+ 1 (exp a))) 2) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) |
#s(approx (log (+ 1 (exp a))) (log1p.f64 (exp.f64 a))) |
#s(approx (/ (exp a) (- (exp a) -1)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
#s(approx (- (exp a) -1) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a)))))) |
#s(approx (/ (cosh a) (+ (exp b) (exp a))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 b) (exp.f64 a)))) |
#s(approx (cosh a) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 1/2 binary64))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a))) |
#s(approx (/ (sinh a) (+ (exp b) (exp a))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 b) (exp.f64 a)))) |
#s(approx (sinh a) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 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 (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (neg.f64 b) (exp.f64 (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64) (neg.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (exp.f64 (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64) (neg.f64 a))))) |
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (*.f64 (neg.f64 a) (-.f64 (/.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) a) #s(literal 1 binary64)))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (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 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (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 #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))))) (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) (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 1/48 binary64) b (*.f64 #s(literal -1/16 binary64) a)) 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 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64))) |
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/96 binary64)) #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) -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) -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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
#s(approx (neg b) (neg.f64 b)) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (fma.f64 (neg.f64 b) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) b))) |
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))))) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))))) b) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) b))) |
#s(approx (/ (cosh a) (+ (exp b) (exp a))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
#s(approx (/ (cosh a) (+ (exp b) (exp a))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (/ (cosh a) (+ (exp b) (exp a))) (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 a))) (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)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (/ (cosh a) (+ (exp b) (exp a))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#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 (/ (sinh a) (+ (exp b) (exp a))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
#s(approx (/ (sinh a) (+ (exp b) (exp a))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (/ (sinh a) (+ (exp b) (exp a))) (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) (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) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (/ (sinh a) (+ (exp b) (exp a))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#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) -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) -2) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal -1 binary64) (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b)) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (neg.f64 b) (fma.f64 (exp.f64 a) (exp.f64 (*.f64 #s(literal -2 binary64) (log1p.f64 (exp.f64 a)))) (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) |
Compiled 13 791 to 1 562 computations (88.7% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 416 | 10 | 426 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 420 | 11 | 431 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 67.2% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
| 65.9% | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) | |
| 82.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| ▶ | 52.1% | #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))) |
| 37.7% | #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))) | |
| ▶ | 83.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
| 36.7% | #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)))) | |
| ▶ | 37.7% | #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)))) |
| ▶ | 39.5% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) |
| 40.0% | #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)))) | |
| ▶ | 38.3% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) |
Compiled 480 to 332 computations (30.8% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.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))) #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 #s(literal -1/4 binary64) b #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))) |
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) |
#s(literal -1/4 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) |
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) |
(fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) |
#s(literal -1/48 binary64) |
a |
(*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b)) |
#s(literal 1/4 binary64) |
(*.f64 #s(literal 1/4 binary64) b) |
(*.f64 (neg.f64 b) #s(literal 1/4 binary64)) |
(neg.f64 b) |
#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 2 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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1 (* b (exp (neg (* 2 (log 2))))))))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* 1/4 a))))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2))))))))))))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/4 (* b (exp (neg (* 2 (log 2)))))))))))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b)))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b)))))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b))))))))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1/4 b))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* 1/4 a)))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b))))))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b)))))))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 1/4)) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* 1/16 (* a b))))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b)))))) |
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* 1/16 b))) |
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (+ (* -1/48 a) (* 1/16 b)))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b))))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))) (/ (exp a) (+ 1 (exp a)))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1/48 (pow a 3)))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (* 1/16 (/ b a)) 1/48)))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48)))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (* -1/4 (/ b (pow a 3))) (+ (* 1/16 (/ b a)) (+ (/ 1/4 (pow a 2)) (* 1/2 (/ 1 (pow a 3)))))) 1/48)))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1/48 (pow a 3)))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (* 1/16 (/ b a)) 1/48)))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48)))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (+ (* -1/4 (/ b (pow a 3))) (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2)))) 1/48)))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* -1/48 (pow a 2)))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (* 1/16 (/ b a)) 1/48)))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48)))) |
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* -1/48 a))) |
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* a (- (* 1/16 (/ b a)) 1/48)))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a))))))))) (/ (exp a) (+ 1 (exp a)))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1/16 (/ b a))))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* 1/16 b) (* 1/4 (/ 1 a))) a))))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4) a)) (* 1/16 b)) a))))))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1/16 (/ b a))))))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* 1/16 b) (* 1/4 (/ 1 a))) a))))))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ b a)) 1/4) a)) (* 1/16 b)) a))))))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (* -1 (/ (- (* -1/16 b) (* 1/4 (/ 1 a))) a)) 1/48)))) |
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* -1 (* a (+ 1/48 (* -1/16 (/ b a))))))) |
#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 (/ 1 (- (exp b) -1)) #s(hole binary64 1/2)) |
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b)))) |
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))))) |
#s(approx (/ 1 (- (exp b) -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) #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 (+ (* -1/4 b) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b)))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (* 1/16 (pow a 2)) 1/4)))))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* a (+ 1/4 (* -1/48 (pow a 2)))))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (* 1/16 (pow a 2)) 1/4))))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* -1/48 (pow a 2))))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (+ (* -1/48 (pow a 2)) (* 1/16 (* a b)))))) |
#s(approx (* 1/4 (* 1/4 b)) #s(hole binary64 (* 1/16 b))) |
#s(approx (* 1/4 b) #s(hole binary64 (* 1/4 b))) |
#s(approx (* (neg b) 1/4) #s(hole binary64 (* -1/4 b))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#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 (/ 1 (- (exp b) -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) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b))) |
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4)))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (+ (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))) (/ (exp a) (* b (+ 1 (exp a)))))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (* 1/16 (pow a 2)) 1/4)))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (+ (* 1/16 (pow a 2)) (+ (* 1/2 (/ 1 b)) (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b))) 1/4)))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* b (- (* 1/16 (pow a 2)) 1/4)))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* b (- (+ (* 1/16 (pow a 2)) (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b)) 1/4)))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* 1/16 (* a b)))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* b (+ (* -1/48 (/ (pow a 2) b)) (+ (* 1/16 a) (* 1/4 (/ 1 b))))))) |
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* b (+ 1/16 (* -1/48 (/ a b)))))) |
#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 (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b))))))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (exp (- a (* 2 (log (+ 1 (exp a)))))) (* -1 (/ (exp a) (* b (+ 1 (exp a)))))))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/16 (pow a 2))))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (+ (* -1 (/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) b)) (* -1/16 (pow a 2)))))))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/16 (pow a 2))))))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* b (+ 1/4 (+ (* -1 (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b)) (* -1/16 (pow a 2)))))))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ 1/4 (* -1/48 (pow a 2))) b)) (* -1/16 a)))))) |
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* -1 (* b (- (* 1/48 (/ a b)) 1/16))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | b | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (+ (* -1/48 a) (* 1/4 (* 1/4 b))) -1/48 a (* 1/4 (* 1/4 b)) 1/4 (* 1/4 b) (* (neg b) 1/4) (neg b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2) |
| 5.0ms | b | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (+ (* -1/48 a) (* 1/4 (* 1/4 b))) -1/48 a (* 1/4 (* 1/4 b)) 1/4 (* 1/4 b) (* (neg b) 1/4) (neg b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2) |
| 5.0ms | b | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (+ (* -1/48 a) (* 1/4 (* 1/4 b))) -1/48 a (* 1/4 (* 1/4 b)) 1/4 (* 1/4 b) (* (neg b) 1/4) (neg b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2) |
| 2.0ms | a | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (+ (* -1/48 a) (* 1/4 (* 1/4 b))) -1/48 a (* 1/4 (* 1/4 b)) 1/4 (* 1/4 b) (* (neg b) 1/4) (neg b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2) |
| 2.0ms | a | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (+ (* -1/48 a) (* 1/4 (* 1/4 b))) -1/48 a (* 1/4 (* 1/4 b)) 1/4 (* 1/4 b) (* (neg b) 1/4) (neg b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 480 | 3270 |
| 0 | 507 | 2993 |
| 1 | 2787 | 2970 |
| 0 | 8200 | 2825 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.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))) #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 #s(literal -1/4 binary64) b #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))) |
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) |
#s(literal -1/4 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) |
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) |
(fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) |
#s(literal -1/48 binary64) |
a |
(*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b)) |
#s(literal 1/4 binary64) |
(*.f64 #s(literal 1/4 binary64) b) |
(*.f64 (neg.f64 b) #s(literal 1/4 binary64)) |
(neg.f64 b) |
#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 2 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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1 (* b (exp (neg (* 2 (log 2))))))))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* 1/4 a))))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2))))))))))))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/4 (* b (exp (neg (* 2 (log 2)))))))))))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b)))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b)))))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b))))))))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1/4 b))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* 1/4 a)))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b))))))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b)))))))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 1/4)) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* 1/16 (* a b))))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b)))))) |
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* 1/16 b))) |
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (+ (* -1/48 a) (* 1/16 b)))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b))))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))) (/ (exp a) (+ 1 (exp a)))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1/48 (pow a 3)))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (* 1/16 (/ b a)) 1/48)))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48)))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (* -1/4 (/ b (pow a 3))) (+ (* 1/16 (/ b a)) (+ (/ 1/4 (pow a 2)) (* 1/2 (/ 1 (pow a 3)))))) 1/48)))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1/48 (pow a 3)))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (* 1/16 (/ b a)) 1/48)))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48)))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (+ (* -1/4 (/ b (pow a 3))) (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2)))) 1/48)))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* -1/48 (pow a 2)))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (* 1/16 (/ b a)) 1/48)))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48)))) |
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* -1/48 a))) |
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* a (- (* 1/16 (/ b a)) 1/48)))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a))))))))) (/ (exp a) (+ 1 (exp a)))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1/16 (/ b a))))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* 1/16 b) (* 1/4 (/ 1 a))) a))))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4) a)) (* 1/16 b)) a))))))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1/16 (/ b a))))))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* 1/16 b) (* 1/4 (/ 1 a))) a))))))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ b a)) 1/4) a)) (* 1/16 b)) a))))))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (* -1 (/ (- (* -1/16 b) (* 1/4 (/ 1 a))) a)) 1/48)))) |
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* -1 (* a (+ 1/48 (* -1/16 (/ b a))))))) |
#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 (/ 1 (- (exp b) -1)) #s(hole binary64 1/2)) |
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b)))) |
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))))) |
#s(approx (/ 1 (- (exp b) -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) #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 (+ (* -1/4 b) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b)))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (* 1/16 (pow a 2)) 1/4)))))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* a (+ 1/4 (* -1/48 (pow a 2)))))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (* 1/16 (pow a 2)) 1/4))))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* -1/48 (pow a 2))))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (+ (* -1/48 (pow a 2)) (* 1/16 (* a b)))))) |
#s(approx (* 1/4 (* 1/4 b)) #s(hole binary64 (* 1/16 b))) |
#s(approx (* 1/4 b) #s(hole binary64 (* 1/4 b))) |
#s(approx (* (neg b) 1/4) #s(hole binary64 (* -1/4 b))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
#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 (/ 1 (- (exp b) -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) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b))) |
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4)))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (+ (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))) (/ (exp a) (* b (+ 1 (exp a)))))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (* 1/16 (pow a 2)) 1/4)))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (+ (* 1/16 (pow a 2)) (+ (* 1/2 (/ 1 b)) (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b))) 1/4)))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* b (- (* 1/16 (pow a 2)) 1/4)))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* b (- (+ (* 1/16 (pow a 2)) (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b)) 1/4)))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* 1/16 (* a b)))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* b (+ (* -1/48 (/ (pow a 2) b)) (+ (* 1/16 a) (* 1/4 (/ 1 b))))))) |
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* b (+ 1/16 (* -1/48 (/ a b)))))) |
#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 (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b))))))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (exp (- a (* 2 (log (+ 1 (exp a)))))) (* -1 (/ (exp a) (* b (+ 1 (exp a)))))))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/16 (pow a 2))))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (+ (* -1 (/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) b)) (* -1/16 (pow a 2)))))))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/16 (pow a 2))))))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* b (+ 1/4 (+ (* -1 (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b)) (* -1/16 (pow a 2)))))))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ 1/4 (* -1/48 (pow a 2))) b)) (* -1/16 a)))))) |
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* -1 (* b (- (* 1/48 (/ a b)) 1/16))))) |
| 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 -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 (exp.f64 b) #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)))) |
#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 b) |
(+.f64 (cosh.f64 b) (sinh.f64 b)) |
b |
#s(literal -1 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))) |
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))) |
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))) |
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(fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) |
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(fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) a)) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal -1/48 binary64) a)) |
(fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/16 binary64) b)) |
(fma.f64 b #s(literal 1/16 binary64) (*.f64 #s(literal -1/48 binary64) a)) |
(fma.f64 a #s(literal -1/48 binary64) (*.f64 #s(literal 1/16 binary64) b)) |
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(-.f64 (*.f64 #s(literal -1/48 binary64) a) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) |
(-.f64 (*.f64 #s(literal -1/48 binary64) a) (*.f64 #s(literal -1/16 binary64) b)) |
(+.f64 (*.f64 #s(literal 1/16 binary64) b) (*.f64 #s(literal -1/48 binary64) a)) |
(+.f64 (*.f64 #s(literal -1/48 binary64) a) (*.f64 #s(literal 1/16 binary64) b)) |
#s(literal -1/48 binary64) |
a |
(*.f64 #s(literal 1/16 binary64) b) |
(*.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b)) |
(*.f64 b #s(literal 1/16 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 #s(literal 1/4 binary64) b) |
(*.f64 b #s(literal 1/4 binary64)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/4 binary64) (neg.f64 b)) |
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(neg.f64 b) |
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(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)) |
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(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) |
(*.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) b) |
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(fma.f64 #s(literal 1/2 binary64) b (*.f64 b (pow.f64 b #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
(fma.f64 b #s(literal 1/2 binary64) (*.f64 b (pow.f64 b #s(literal -1 binary64)))) |
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) |
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(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 b (pow.f64 b #s(literal -1 binary64)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) |
#s(literal 2 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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 1/2 binary64))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+.f64 (fma.f64 (fma.f64 (*.f64 b a) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 #s(literal -1/4 binary64) b)) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (fma.f64 (fma.f64 (*.f64 b a) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) a (*.f64 #s(literal -1/4 binary64) b))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal -1/4 binary64) b))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(literal 1/4 binary64)) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (fma.f64 (*.f64 b a) #s(literal 1/16 binary64) #s(literal 1/4 binary64))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64))) |
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) (*.f64 #s(literal 1/16 binary64) b)) |
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a))) |
#s(approx a a) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal 1/16 binary64)) #s(literal 1/48 binary64)) (pow.f64 a #s(literal 3 binary64)))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (-.f64 (fma.f64 (/.f64 b a) #s(literal 1/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 a a))) #s(literal 1/48 binary64)) (pow.f64 a #s(literal 3 binary64)))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (-.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 3 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 b a) #s(literal 1/16 binary64) (fma.f64 (pow.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 a a))))) #s(literal 1/48 binary64)) (pow.f64 a #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal 1/16 binary64)) #s(literal 1/48 binary64)) (pow.f64 a #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) #s(literal 1/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 a a))) #s(literal 1/48 binary64)) (pow.f64 a #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 3 binary64))) #s(literal -1/4 binary64) (-.f64 (fma.f64 (/.f64 b a) #s(literal 1/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 a a))) #s(literal 1/48 binary64))) (pow.f64 a #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (*.f64 a a) #s(literal -1/48 binary64))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (*.f64 a a) (-.f64 (*.f64 (/.f64 b a) #s(literal 1/16 binary64)) #s(literal 1/48 binary64)))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (-.f64 (fma.f64 (/.f64 b a) #s(literal 1/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 a a))) #s(literal 1/48 binary64)) (*.f64 a a))) |
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) (*.f64 #s(literal -1/48 binary64) a)) |
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) (*.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal 1/16 binary64)) #s(literal 1/48 binary64)) a)) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (neg.f64 b) (exp.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)) (neg.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 b a) #s(literal 1/48 binary64)))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) b (/.f64 #s(literal 1/4 binary64) a)) a) #s(literal -1 binary64) #s(literal 1/48 binary64)))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) b (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) #s(literal 1/4 binary64)) a))) a) #s(literal -1 binary64) #s(literal 1/48 binary64)))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 b a) #s(literal 1/48 binary64)))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) b (/.f64 #s(literal 1/4 binary64) a)) a) #s(literal -1 binary64) #s(literal 1/48 binary64)))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) b (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) a))) a) #s(literal -1 binary64) #s(literal 1/48 binary64)))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) b) (/.f64 #s(literal 1/4 binary64) a)) a)) #s(literal 1/48 binary64)) (*.f64 a a))) |
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/16 binary64) (/.f64 b a) #s(literal 1/48 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 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (neg.f64 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 (neg.f64 b) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #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 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))) 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 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #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 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/6 binary64))))) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #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 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)) |
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
#s(approx (/ 1 (- (exp b) -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 (/ 1 (- (exp b) -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 (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)) |
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
#s(approx (/ 1 (- (exp b) -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 (/ 1 (- (exp b) -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 (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* -1/4 b) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) b (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a)) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) b (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (+.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) (*.f64 (*.f64 b a) #s(literal 1/16 binary64))) #s(literal 1/4 binary64))) |
#s(approx (* 1/4 (* 1/4 b)) (*.f64 #s(literal 1/16 binary64) b)) |
#s(approx (* 1/4 b) (*.f64 #s(literal 1/4 binary64) b)) |
#s(approx (* (neg b) 1/4) (*.f64 #s(literal -1/4 binary64) b)) |
#s(approx (neg b) (neg.f64 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 (/ 1 (- (exp b) -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 (/ 1 (- (exp b) -1)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) |
#s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)) |
#s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b)) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (neg.f64 b))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal -1 binary64) (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b)) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) b)) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b)) #s(literal 1/4 binary64)) b)) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) b)) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a) b)) #s(literal 1/4 binary64)) b)) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (*.f64 b a) #s(literal 1/16 binary64))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))) b)) |
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) (*.f64 (fma.f64 (/.f64 a b) #s(literal -1/48 binary64) #s(literal 1/16 binary64)) 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 (+ (* -1/4 b) 1/2) (*.f64 (neg.f64 b) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (neg.f64 b) (fma.f64 (exp.f64 a) (exp.f64 (*.f64 #s(literal -2 binary64) (log1p.f64 (exp.f64 a)))) (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/16 binary64) (*.f64 a a) #s(literal 1/4 binary64)))) |
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (neg.f64 b) (+.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 a a) (neg.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b))) #s(literal 1/4 binary64)))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/16 binary64) (*.f64 a a) #s(literal 1/4 binary64)))) |
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 a a) (neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a) b))) #s(literal 1/4 binary64)))) |
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/16 binary64) a (neg.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) b))))) |
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) (*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 a b) #s(literal 1/48 binary64)) #s(literal 1/16 binary64)))) |
Compiled 13 919 to 1 556 computations (88.8% saved)
14 alts after pruning (10 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 301 | 7 | 308 |
| Fresh | 2 | 3 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 305 | 14 | 319 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 67.2% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
| ▶ | 65.9% | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
| 51.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (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 -1/2 binary64)) #s(literal 2 binary64))) | |
| ✓ | 83.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
| ▶ | 57.4% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 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))))) |
| 52.1% | #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))))) | |
| ▶ | 37.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))) |
| ▶ | 36.7% | #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)))) |
| ✓ | 37.7% | #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)))) |
| ▶ | 4.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
| ✓ | 39.5% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) |
| 40.0% | #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)))) | |
| 40.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) | |
| 12.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64))))) |
Compiled 690 to 468 computations (32.2% saved)
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(exp.f64 a) |
a |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (exp b) #s(literal 1 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))) |
#s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)) |
(*.f64 #s(literal -1/4 binary64) b) |
#s(literal -1/4 binary64) |
b |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))) |
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))) |
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) |
(+.f64 #s(literal 2 binary64) b) |
#s(literal 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(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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 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) -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))) |
(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)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
#s(literal 1/6 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 (/ (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 (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 (+ (* -1/4 b) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b)))) |
#s(approx (* -1/4 b) #s(hole binary64 (* -1/4 b))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2)) |
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b)))) |
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))))) |
#s(approx (/ 1 (- (exp b) -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 (+ 2 b) #s(hole binary64 2)) |
#s(approx (+ 2 b) #s(hole binary64 (+ 2 b))) |
#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 (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 2)) |
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 b))) |
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* 1/2 b)))) |
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 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 (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b))) |
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4)))) |
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (+ 2 b) #s(hole binary64 b)) |
#s(approx (+ 2 b) #s(hole binary64 (* b (+ 1 (* 2 (/ 1 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 (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* 1/6 (pow b 3)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3))))))))) |
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* 1/6 (pow b 2)))) |
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b)))))) |
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))))) |
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* 1/6 b))) |
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* b (+ 1/6 (* 1/2 (/ 1 b)))))) |
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 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)))))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | b | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) 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 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6) |
| 3.0ms | b | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) 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 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6) |
| 3.0ms | b | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) 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 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6) |
| 1.0ms | a | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) 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 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6) |
| 1.0ms | a | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) 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 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 323 | 1914 |
| 0 | 343 | 1818 |
| 1 | 1808 | 1809 |
| 0 | 8388 | 1746 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
(exp.f64 a) |
a |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (exp b) #s(literal 1 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))) |
#s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)) |
(*.f64 #s(literal -1/4 binary64) b) |
#s(literal -1/4 binary64) |
b |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))) |
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))) |
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) |
(+.f64 #s(literal 2 binary64) b) |
#s(literal 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(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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 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) -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))) |
(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)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
#s(literal 1/6 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 (/ (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 (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 (+ (* -1/4 b) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b)))) |
#s(approx (* -1/4 b) #s(hole binary64 (* -1/4 b))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2)) |
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b)))) |
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))))) |
#s(approx (/ 1 (- (exp b) -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 (+ 2 b) #s(hole binary64 2)) |
#s(approx (+ 2 b) #s(hole binary64 (+ 2 b))) |
#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 (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 2)) |
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 b))) |
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* 1/2 b)))) |
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 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 (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b))) |
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4)))) |
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b))))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (+ 2 b) #s(hole binary64 b)) |
#s(approx (+ 2 b) #s(hole binary64 (* b (+ 1 (* 2 (/ 1 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 (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* 1/6 (pow b 3)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3))))))))) |
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* 1/6 (pow b 2)))) |
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b)))))) |
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))))) |
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* 1/6 b))) |
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* b (+ 1/6 (* 1/2 (/ 1 b)))))) |
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 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)))))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6))))) |
| Outputs |
|---|
(/.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(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(literal 1 binary64))))) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (cosh.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) (/.f64 (sinh.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 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) (-.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 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)) (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))) |
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(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)) |
(fma.f64 b (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) #s(literal 2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.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)) (-.f64 (*.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))) (/.f64 #s(literal 4 binary64) (-.f64 (*.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)))) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))) (/.f64 (pow.f64 (*.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)) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))) |
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 b) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.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)) (-.f64 #s(literal 4 binary64) (*.f64 (*.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))))) (/.f64 #s(literal 8 binary64) (+.f64 (pow.f64 (*.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)) (-.f64 #s(literal 4 binary64) (*.f64 (*.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)))))) |
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.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)) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))))) (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.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)) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))) |
(+.f64 (*.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)) |
(+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) |
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))) |
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(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)))) |
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(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))))) |
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(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) b)) |
(+.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) b) #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) b) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))) (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)) |
#s(literal 1/6 binary64) |
#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 #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 (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 #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 (+ (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 (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 (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 (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* -1/4 b) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
#s(approx (* -1/4 b) (*.f64 #s(literal -1/4 binary64) b)) |
#s(approx b b) |
#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 (+ 2 b) #s(literal 2 binary64)) |
#s(approx (+ 2 b) (+.f64 #s(literal 2 binary64) 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 (- (* (* 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 (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(literal 2 binary64)) |
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+.f64 #s(literal 2 binary64) b)) |
#s(approx (+ (* (+ (* (+ (* 1/6 b) 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 (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (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 (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) |
#s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/6 b) 1/2) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) |
#s(approx (exp b) (exp.f64 b)) |
#s(approx (pow (- (exp b) -1) -1) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64))) |
#s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)) |
#s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b)) |
#s(approx (pow (- (exp b) -1) -1) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64))) |
#s(approx (- (exp b) -1) (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
#s(approx (+ 2 b) b) |
#s(approx (+ 2 b) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) 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 (- (* (* 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 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/4 binary64))) (*.f64 b b))) |
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 b #s(literal -3 binary64)) #s(literal 2 binary64) (pow.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) |
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (*.f64 b b))) |
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) b)) #s(literal 1/6 binary64)) (*.f64 b b))) |
#s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) |
#s(approx (+ (* 1/6 b) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) b)) |
#s(approx (+ (* -1/4 b) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) b))) |
#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))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))) |
Compiled 8 088 to 1 207 computations (85.1% saved)
21 alts after pruning (12 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 242 | 8 | 250 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 243 | 21 | 264 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 67.2% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
| ✓ | 65.9% | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
| 39.0% | (/.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(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) | |
| 39.1% | (/.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(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) | |
| 39.1% | (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) | |
| 51.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (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 -1/2 binary64)) #s(literal 2 binary64))) | |
| ✓ | 83.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
| ✓ | 57.4% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 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))))) |
| 57.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) | |
| 52.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) | |
| 56.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) | |
| ✓ | 37.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))) |
| 3.5% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)))) | |
| ✓ | 36.7% | #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)))) |
| ✓ | 37.7% | #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)))) |
| 13.1% | #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))))) | |
| ✓ | 4.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
| ✓ | 39.5% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) |
| 40.0% | #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)))) | |
| 40.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) | |
| 12.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64))))) |
Compiled 1 349 to 590 computations (56.3% 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) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #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(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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 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(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 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))))) |
(/.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(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #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 (+ (* (- (* (* 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))) (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)))) |
#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))) (pow.f64 (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 -1/2 binary64)) #s(literal 2 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 -1/2 binary64)) #s(literal 2 binary64))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
#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 (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 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
5 calls:
| 10.0ms | b |
| 8.0ms | a |
| 6.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 6.0ms | (exp.f64 a) |
| 6.0ms | (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) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #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(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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 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(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 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))))) |
(/.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(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #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 (+ (* (- (* (* 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))) (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)))) |
#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))) (pow.f64 (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 -1/2 binary64)) #s(literal 2 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 -1/2 binary64)) #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
5 calls:
| 13.0ms | b |
| 9.0ms | (exp.f64 a) |
| 7.0ms | a |
| 5.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 5.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | (exp.f64 b) |
| 98.8% | 2 | (exp.f64 a) |
| 83.2% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 98.8% | 2 | a |
| 99.0% | 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) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #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(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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 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(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 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))))) |
(/.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(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #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 (+ (* (- (* (* 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))) (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)))) |
#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))) (pow.f64 (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 -1/2 binary64)) #s(literal 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))) (/.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 |
|---|---|---|
| 98.0% | 2 | (exp.f64 a) |
| 98.0% | 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) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #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(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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 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(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 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))))) |
(/.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(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #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 (+ (* (- (* (* 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))) (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 |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 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 |
|---|---|---|
| 83.2% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 83.2% | 1 | (exp.f64 b) |
| 83.2% | 1 | b |
| 83.2% | 1 | (exp.f64 a) |
| 83.2% | 1 | 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) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #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(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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 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(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 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))))) |
(/.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(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #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 (+ (* (- (* (* 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))) (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 |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 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) #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))) (/.f64 #s(literal 1 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))))) |
5 calls:
| 18.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 6.0ms | a |
| 6.0ms | b |
| 4.0ms | (exp.f64 b) |
| 4.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.2% | 3 | b |
| 60.4% | 2 | (exp.f64 b) |
| 59.0% | 2 | (exp.f64 a) |
| 60.4% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 59.9% | 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) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #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(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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 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(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 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))))) |
(/.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(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64))))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
1 calls:
| 7.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.6% | 2 | b |
Compiled 1 to 2 computations (-100% 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) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #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(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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 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(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #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(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
1 calls:
| 4.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.5% | 2 | b |
Compiled 1 to 2 computations (-100% 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) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #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(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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) |
3 calls:
| 4.0ms | b |
| 3.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 3.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.4% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 60.2% | 2 | (exp.f64 b) |
| 60.3% | 2 | b |
Compiled 11 to 11 computations (0% 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) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #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(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #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))))) |
5 calls:
| 5.0ms | a |
| 4.0ms | b |
| 3.0ms | (exp.f64 b) |
| 3.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 3.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.1% | 1 | (exp.f64 a) |
| 52.1% | 1 | a |
| 54.8% | 2 | (exp.f64 b) |
| 54.9% | 2 | b |
| 54.8% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 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) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) |
#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) (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 | b |
| 3.0ms | a |
| 2.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 2.0ms | (exp.f64 b) |
| 2.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.0% | 1 | (exp.f64 a) |
| 40.0% | 1 | a |
| 40.0% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 40.0% | 1 | (exp.f64 b) |
| 40.0% | 1 | b |
Compiled 14 to 16 computations (-14.3% saved)
Total -22.9b remaining (-59.2%)
Threshold costs -22.9b (-59.2%)
| 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) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) |
5 calls:
| 4.0ms | (exp.f64 a) |
| 1.0ms | a |
| 1.0ms | b |
| 1.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.5% | 1 | (exp.f64 a) |
| 39.5% | 1 | (exp.f64 b) |
| 39.5% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 39.5% | 1 | a |
| 39.5% | 1 | b |
Compiled 14 to 16 computations (-14.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | -3.1376389814756174e-14 | -1.1892981804966906e-22 |
| 7.0ms | 144× | 0 | valid |
Compiled 236 to 209 computations (11.4% saved)
ival-exp: 2.0ms (49.9% of total)ival-div: 1.0ms (24.9% of total)ival-add: 1.0ms (24.9% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 44.0ms | -6.735429078849167e-7 | -3.1376389814756174e-14 |
| 39.0ms | 144× | 0 | valid |
Compiled 254 to 227 computations (10.6% saved)
ival-exp: 34.0ms (95% of total)ival-div: 1.0ms (2.8% of total)ival-add: 1.0ms (2.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 9.685215436417442e-253 | 1.1452886849187918e-251 |
| 12.0ms | 7.003239549985436e-274 | 1.229715645869913e-270 |
| 11.0ms | 224× | 0 | valid |
Compiled 1 133 to 811 computations (28.4% saved)
ival-exp: 3.0ms (52.2% of total)ival-div: 1.0ms (17.4% of total)ival-add: 1.0ms (17.4% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | -1.32570481984e-311 | 7.1202389472294e-307 |
| 17.0ms | 112× | 0 | valid |
Compiled 634 to 438 computations (30.9% saved)
ival-div: 13.0ms (88% of total)ival-exp: 2.0ms (13.5% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.32570481984e-311 | 7.1202389472294e-307 |
Compiled 669 to 466 computations (30.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0325649901493724e-67 | 0.03364083773127356 |
Compiled 11 to 11 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.32570481984e-311 | 7.1202389472294e-307 |
Compiled 613 to 424 computations (30.8% saved)
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 650 |
| 1 | 190 | 640 |
| 2 | 418 | 640 |
| 3 | 1220 | 640 |
| 4 | 4765 | 640 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(if (<=.f64 a #s(literal -1188422437713965/39614081257132168796771975168 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
(if (<=.f64 a #s(literal -1558380939346983/2361183241434822606848 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(if (<=.f64 b #s(literal 5710144928554687/4758454107128905800953799994079681792420032645310062268978469949811010102913293995344538606387700321887355916128617513761454672785743698264930657859527662802505506689431871596616596511469752757984765426503524599059416795862009216282102716609115705865638544337453260521036049116206989312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) (if (<=.f64 b #s(literal 4044755004007437/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112 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))) (/.f64 #s(literal 1 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))))))) |
(if (<=.f64 b #s(literal 4807053516048627/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))) |
(if (<=.f64 b #s(literal 4807053516048627/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #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(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))) |
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3794275180128377/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))) |
(if (<=.f64 b #s(literal 4807053516048627/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #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)))))) |
#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) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(if (<=.f64 a #s(literal -1188422437713965/39614081257132168796771975168 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
(if (<=.f64 a #s(literal -1558380939346983/2361183241434822606848 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(if (<=.f64 b #s(literal 5710144928554687/4758454107128905800953799994079681792420032645310062268978469949811010102913293995344538606387700321887355916128617513761454672785743698264930657859527662802505506689431871596616596511469752757984765426503524599059416795862009216282102716609115705865638544337453260521036049116206989312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) (if (<=.f64 b #s(literal 4044755004007437/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112 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))) (/.f64 #s(literal 1 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))))))) |
(if (<=.f64 b #s(literal 4807053516048627/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))) |
(if (<=.f64 b #s(literal 4807053516048627/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #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(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))) |
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3794275180128377/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))) |
(if (<=.f64 b #s(literal 4807053516048627/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #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)))))) |
#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) #s(literal 1/2 binary64))) |
| 1× | fuel |
Compiled 655 to 133 computations (79.7% saved)
Compiled 1 342 to 292 computations (78.2% saved)
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