
Time bar (total: 1.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 2 |
Compiled 10 to 9 computations (10% saved)
| 473.0ms | 8 256× | 0 | valid |
ival-exp: 126.0ms (43.2% of total)ival-neg: 86.0ms (29.5% of total)ival-div!: 43.0ms (14.8% of total)ival-add!: 35.0ms (12% of total)adjust: 1.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 1 | (100.49406929494367) | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
exp.f64 | (exp.f64 (neg.f64 x)) | sensitivity | 1 | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 1 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 2 | 253 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 31.0ms | 512× | 0 | valid |
Compiled 58 to 25 computations (56.9% saved)
ival-exp: 12.0ms (65.5% of total)ival-neg: 3.0ms (16.4% of total)ival-div!: 3.0ms (16.4% of total)ival-add!: 2.0ms (10.9% of total)adjust: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 24 |
| 1 | 35 | 24 |
| 2 | 75 | 24 |
| 3 | 242 | 24 |
| 4 | 1827 | 24 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(abs x)
Compiled 16 to 14 computations (12.5% saved)
| Inputs |
|---|
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
#s(literal 2 binary64) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1)) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2)) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2)))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (exp (neg x)) #s(hole binary64 1)) |
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1))))) |
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x)))))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x))))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x)))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x)))))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x))))) |
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x)) |
| 1.0ms | x | @ | -inf | ((/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x)) |
| 1.0ms | x | @ | 0 | ((/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 338 |
| 0 | 102 | 297 |
| 1 | 548 | 274 |
| 0 | 4703 | 254 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
#s(literal 2 binary64) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1)) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2)) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2)))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (exp (neg x)) #s(hole binary64 1)) |
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1))))) |
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x)))))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x))))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x)))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x)))))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x))))) |
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x)))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x)))) |
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) |
#s(literal 2 binary64) |
(*.f64 (cosh.f64 x) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (cosh.f64 x)) |
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))))) |
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (expm1.f64 (+.f64 x x)))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x)))) |
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (exp.f64 x)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(-.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x)) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 x))) |
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) (sinh.f64 x)) |
(+.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x))) |
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))))) |
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x))) |
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x)))) |
(+.f64 (cosh.f64 x) (cosh.f64 x)) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
(exp.f64 x) |
x |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) x) |
(pow.f64 (exp.f64 x) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(-.f64 (cosh.f64 x) (sinh.f64 x)) |
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x)) |
(exp.f64 (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64)) |
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(neg.f64 x) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) |
#s(approx (+ (exp x) (exp (neg x))) #s(literal 2 binary64)) |
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) |
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x #s(literal 2 binary64))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (exp x) (-.f64 x #s(literal -1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx x x) |
#s(approx (exp (neg x)) #s(literal 1 binary64)) |
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
#s(approx (neg x) (neg.f64 x)) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) |
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x))) |
Compiled 1 071 to 313 computations (70.8% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 72 | 5 | 77 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 73 | 5 | 78 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.4% | (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) |
| ▶ | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| ▶ | 4.8% | (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
| ▶ | 53.3% | #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
| ▶ | 53.9% | #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
Compiled 118 to 92 computations (22% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
#s(literal 1 binary64) |
(cosh.f64 x) |
x |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) |
#s(literal 2 binary64) |
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) |
(fma.f64 x x #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) |
(-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (+.f64 x x)) |
(+.f64 x x) |
(exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) |
(*.f64 (neg.f64 x) #s(literal 2 binary64)) |
(neg.f64 x) |
(*.f64 #s(literal 2 binary64) (sinh.f64 x)) |
(sinh.f64 x) |
| Outputs |
|---|
#s(approx (/ 1 (cosh x)) #s(hole binary64 1)) |
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))))) |
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))))) |
#s(approx (cosh x) #s(hole binary64 1)) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1)) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))))) |
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2)) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2)))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))) |
#s(approx (+ (* x x) 2) #s(hole binary64 2)) |
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2)))) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 1)) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))))) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ (+ 1/2 (* -1/3 (pow x 2))) x))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* 7/45 (pow x 2)) 1/3))) x))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/45 (* -62/945 (pow x 2)))) 1/3))) x))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (* 4 x))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (* x (+ 4 (* 8/3 (pow x 2)))))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* 8/15 (pow x 2)))))))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* (pow x 2) (+ 8/15 (* 16/315 (pow x 2)))))))))) |
#s(approx (exp (+ x x)) #s(hole binary64 1)) |
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x)))) |
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x)))))) |
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx (exp (* (neg x) 2)) #s(hole binary64 1)) |
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* -2 x)))) |
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2))))) |
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2))))) |
#s(approx (* (neg x) 2) #s(hole binary64 (* -2 x))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (* 2 (sinh x)) #s(hole binary64 (* 2 x))) |
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2)))))) |
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))))) |
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))))) |
#s(approx (sinh x) #s(hole binary64 x)) |
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2)))))) |
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))))) |
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))))) |
#s(approx (/ 1 (cosh x)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x)))))) |
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x)))))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x)))))) |
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x))))) |
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))))) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (exp (* -2 x))))))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ 2 (- (exp (* 2 x)) (exp (* -2 x)))))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (- (exp (* 2 x)) (exp (* -2 x))))) |
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x)))) |
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (exp (* -2 x)))) |
#s(approx (* 2 (sinh x)) #s(hole binary64 (- (exp x) (/ 1 (exp x))))) |
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x)))))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x)))))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x))))) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (exp (* -2 x))))))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ 2 (- (exp (neg (* -2 x))) (exp (* -2 x)))))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (- (exp (neg (* -2 x))) (exp (* -2 x))))) |
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 56.0ms | x | @ | -inf | ((/ 1 (cosh x)) 1 (cosh x) x (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (- (exp (+ x x)) (exp (* (neg x) 2))) (exp (+ x x)) (+ x x) (exp (* (neg x) 2)) (* (neg x) 2) (neg x) (* 2 (sinh x)) (sinh x)) |
| 6.0ms | x | @ | inf | ((/ 1 (cosh x)) 1 (cosh x) x (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (- (exp (+ x x)) (exp (* (neg x) 2))) (exp (+ x x)) (+ x x) (exp (* (neg x) 2)) (* (neg x) 2) (neg x) (* 2 (sinh x)) (sinh x)) |
| 3.0ms | x | @ | 0 | ((/ 1 (cosh x)) 1 (cosh x) x (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (- (exp (+ x x)) (exp (* (neg x) 2))) (exp (+ x x)) (+ x x) (exp (* (neg x) 2)) (* (neg x) 2) (neg x) (* 2 (sinh x)) (sinh x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 288 | 1350 |
| 0 | 311 | 1275 |
| 1 | 1570 | 1167 |
| 0 | 8090 | 1114 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
#s(literal 1 binary64) |
(cosh.f64 x) |
x |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) |
#s(literal 2 binary64) |
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) |
(fma.f64 x x #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) |
(-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (+.f64 x x)) |
(+.f64 x x) |
(exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) |
(*.f64 (neg.f64 x) #s(literal 2 binary64)) |
(neg.f64 x) |
(*.f64 #s(literal 2 binary64) (sinh.f64 x)) |
(sinh.f64 x) |
#s(approx (/ 1 (cosh x)) #s(hole binary64 1)) |
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))))) |
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))))) |
#s(approx (cosh x) #s(hole binary64 1)) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1)) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))))) |
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2)) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2)))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))) |
#s(approx (+ (* x x) 2) #s(hole binary64 2)) |
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2)))) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 1)) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))))) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ (+ 1/2 (* -1/3 (pow x 2))) x))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* 7/45 (pow x 2)) 1/3))) x))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/45 (* -62/945 (pow x 2)))) 1/3))) x))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (* 4 x))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (* x (+ 4 (* 8/3 (pow x 2)))))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* 8/15 (pow x 2)))))))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* (pow x 2) (+ 8/15 (* 16/315 (pow x 2)))))))))) |
#s(approx (exp (+ x x)) #s(hole binary64 1)) |
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x)))) |
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x)))))) |
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx (exp (* (neg x) 2)) #s(hole binary64 1)) |
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* -2 x)))) |
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2))))) |
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2))))) |
#s(approx (* (neg x) 2) #s(hole binary64 (* -2 x))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (* 2 (sinh x)) #s(hole binary64 (* 2 x))) |
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2)))))) |
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))))) |
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))))) |
#s(approx (sinh x) #s(hole binary64 x)) |
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2)))))) |
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))))) |
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))))) |
#s(approx (/ 1 (cosh x)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x)))))) |
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x)))))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x)))))) |
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x))))) |
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))))) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (exp (* -2 x))))))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ 2 (- (exp (* 2 x)) (exp (* -2 x)))))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (- (exp (* 2 x)) (exp (* -2 x))))) |
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x)))) |
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (exp (* -2 x)))) |
#s(approx (* 2 (sinh x)) #s(hole binary64 (- (exp x) (/ 1 (exp x))))) |
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x)))))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x)))))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x))))) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (exp (* -2 x))))))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ 2 (- (exp (neg (* -2 x))) (exp (* -2 x)))))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (- (exp (neg (* -2 x))) (exp (* -2 x))))) |
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x))))) |
| Outputs |
|---|
(pow.f64 (cosh.f64 x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cosh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(cosh.f64 (neg.f64 (neg.f64 x))) |
(cosh.f64 (neg.f64 x)) |
(cosh.f64 x) |
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) |
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
x |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
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(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (exp.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal -2 binary64) x)))))) (/.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (exp.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal -2 binary64) x))))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))) (/.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))))) |
(-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (fabs.f64 (exp.f64 x)) (fabs.f64 (exp.f64 x))) |
(*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x))) |
(*.f64 (exp.f64 x) (exp.f64 x)) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (neg.f64 x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) x) |
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 x) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x))) (*.f64 (sinh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x))) (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x)))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)) (fma.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (+.f64 x x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)) (-.f64 (*.f64 (sinh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x))) (*.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
(-.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x))) |
(+.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x))) |
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) x)) |
(exp.f64 (+.f64 x x)) |
(*.f64 #s(literal -2 binary64) (neg.f64 x)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (-.f64 x x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(neg.f64 (*.f64 #s(literal -2 binary64) x)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))) |
(+.f64 x x) |
(*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 x)))) |
(*.f64 (fabs.f64 (exp.f64 (neg.f64 x))) (fabs.f64 (exp.f64 (neg.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) |
(pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) x) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 x x)) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) x) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 x)) |
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x))) (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x)))) (exp.f64 (+.f64 x x))) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x))) (*.f64 (sinh.f64 (neg.f64 (+.f64 x x))) (sinh.f64 (neg.f64 (+.f64 x x))))) (-.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (neg.f64 (+.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)) (-.f64 (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x))) (*.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (+.f64 x x))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)) (-.f64 (*.f64 (sinh.f64 (neg.f64 (+.f64 x x))) (sinh.f64 (neg.f64 (+.f64 x x)))) (*.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (neg.f64 (+.f64 x x))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 x)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) |
(-.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x))) |
(+.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x))) |
(+.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (neg.f64 (+.f64 x x)))) |
(exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -2 binary64))) x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 #s(literal -2 binary64) x)) |
(exp.f64 (neg.f64 (+.f64 x x))) |
(*.f64 (neg.f64 x) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (neg.f64 x)) |
(neg.f64 (+.f64 x x)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(neg.f64 x) |
(*.f64 (sinh.f64 x) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (sinh.f64 x)) |
(/.f64 (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (sinh.f64 x) (sinh.f64 x))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))))) |
(/.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x (neg.f64 x))))))) |
(/.f64 (fma.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x (neg.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(fma.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (sinh.f64 x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) #s(literal 1 binary64)) (sinh.f64 x)) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x (neg.f64 x)))))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x (neg.f64 x))))))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+.f64 (sinh.f64 x) (sinh.f64 x)) |
(*.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(sinh.f64 x) |
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64))) |
#s(approx (/ 1 (cosh x)) #s(literal 1 binary64)) |
#s(approx (/ 1 (cosh x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (/ 1 (cosh x)) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ 1 (cosh x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx x x) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (+ (* (* x x) -1/2) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (* x x) -1/2) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (+ (exp x) (exp (neg x))) #s(literal 2 binary64)) |
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) |
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (+ (* x x) 2) #s(literal 2 binary64)) |
#s(approx (+ (* x x) 2) (fma.f64 x x #s(literal 2 binary64))) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(literal 1 binary64)) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 7/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -62/945 binary64) (*.f64 x x) #s(literal 7/45 binary64)) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) (*.f64 #s(literal 4 binary64) x)) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) (*.f64 (fma.f64 #s(literal 8/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) (*.f64 (fma.f64 (fma.f64 #s(literal 8/15 binary64) (*.f64 x x) #s(literal 8/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 16/315 binary64) (*.f64 x x) #s(literal 8/15 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)) |
#s(approx (exp (+ x x)) #s(literal 1 binary64)) |
#s(approx (exp (+ x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) |
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ x x) (+.f64 x x)) |
#s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)) |
#s(approx (exp (* (neg x) 2)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))) |
#s(approx (exp (* (neg x) 2)) (fma.f64 (-.f64 (+.f64 x x) #s(literal 2 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp (* (neg x) 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64))) |
#s(approx (* (neg x) 2) (*.f64 #s(literal -2 binary64) x)) |
#s(approx (neg x) (neg.f64 x)) |
#s(approx (* 2 (sinh x)) (+.f64 x x)) |
#s(approx (* 2 (sinh x)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (* 2 (sinh x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (* 2 (sinh x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (sinh x) x) |
#s(approx (sinh x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (/ 1 (cosh x)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
#s(approx (cosh x) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
#s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
#s(approx (+ (* (* x x) -1/2) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (+ (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
#s(approx (+ (* x x) 2) (*.f64 x x)) |
#s(approx (+ (* x x) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) (*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 2 binary64))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) |
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x))) |
#s(approx (exp (* (neg x) 2)) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
#s(approx (* 2 (sinh x)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) |
#s(approx (sinh x) (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
#s(approx (+ (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) (*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 2 binary64))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) |
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x))) |
Compiled 6 221 to 1 116 computations (82.1% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 254 | 3 | 257 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 255 | 7 | 262 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 76.4% | (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) |
| ▶ | 26.1% | (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))) |
| ✓ | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| ▶ | 54.3% | (*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 2 binary64)) |
| ▶ | 3.8% | (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
| ✓ | 53.3% | #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
| ✓ | 53.9% | #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
Compiled 92 to 71 computations (22.8% saved)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)))) |
#s(literal 2 binary64) |
(-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64))) |
(exp.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
#s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) (sinh.f64 x)) |
(sinh.f64 x) |
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) |
(*.f64 (sinh.f64 x) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) |
(sinh.f64 (+.f64 x x)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))) |
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))) |
#s(approx (+ (* x x) 2) (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 1)) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))))) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ (+ 1/2 (* -1/3 (pow x 2))) x))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* 7/45 (pow x 2)) 1/3))) x))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/45 (* -62/945 (pow x 2)))) 1/3))) x))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (* 4 x))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (* x (+ 4 (* 8/3 (pow x 2)))))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* 8/15 (pow x 2)))))))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* (pow x 2) (+ 8/15 (* 16/315 (pow x 2)))))))))) |
#s(approx (exp (+ x x)) #s(hole binary64 1)) |
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x)))) |
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x)))))) |
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (exp (* (neg x) 2)) #s(hole binary64 1)) |
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* -2 x)))) |
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2))))) |
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2))))) |
#s(approx (* 2 (sinh x)) #s(hole binary64 (* 2 x))) |
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2)))))) |
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))))) |
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))))) |
#s(approx (sinh x) #s(hole binary64 x)) |
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2)))))) |
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))))) |
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))))) |
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(hole binary64 1)) |
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))))) |
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))))) |
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) #s(hole binary64 1/2)) |
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2))))) |
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 5/48 (pow x 2)) 1/4))))) |
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 5/48 (* -61/1440 (pow x 2)))) 1/4))))) |
#s(approx (* (sinh x) 2) #s(hole binary64 (* 2 x))) |
#s(approx (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2)))))) |
#s(approx (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))))) |
#s(approx (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))))) |
#s(approx (* 2 (sinh (+ x x))) #s(hole binary64 (* 4 x))) |
#s(approx (* 2 (sinh (+ x x))) #s(hole binary64 (* x (+ 4 (* 8/3 (pow x 2)))))) |
#s(approx (* 2 (sinh (+ x x))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* 8/15 (pow x 2)))))))) |
#s(approx (* 2 (sinh (+ x x))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* (pow x 2) (+ 8/15 (* 16/315 (pow x 2)))))))))) |
#s(approx (sinh (+ x x)) #s(hole binary64 (* 2 x))) |
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* 4/3 (pow x 2)))))) |
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2)))))))) |
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2)))))))))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1)) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2)) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2)))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))) |
#s(approx (+ (* x x) 2) #s(hole binary64 2)) |
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (exp (* -2 x))))))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ 2 (- (exp (* 2 x)) (exp (* -2 x)))))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (- (exp (* 2 x)) (exp (* -2 x))))) |
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x)))) |
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (exp (* -2 x)))) |
#s(approx (* 2 (sinh x)) #s(hole binary64 (- (exp x) (/ 1 (exp x))))) |
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x)))))) |
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))))) |
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))) |
#s(approx (* (sinh x) 2) #s(hole binary64 (- (exp x) (/ 1 (exp x))))) |
#s(approx (* 2 (sinh (+ x x))) #s(hole binary64 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))) |
#s(approx (sinh (+ x x)) #s(hole binary64 (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x)))))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x))))) |
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))))) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (exp (* -2 x))))))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ 2 (- (exp (neg (* -2 x))) (exp (* -2 x)))))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (- (exp (neg (* -2 x))) (exp (* -2 x))))) |
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x))))) |
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))))) |
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))) |
#s(approx (* 2 (sinh (+ x x))) #s(hole binary64 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))) |
#s(approx (sinh (+ x x)) #s(hole binary64 (* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x)))))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | inf | ((* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) 2 (- (exp (+ x x)) (exp (* (neg x) 2))) (exp (+ x x)) (+ x x) x (exp (* (neg x) 2)) 1 (* 2 (sinh x)) (sinh x) (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) (* (sinh x) 2) (* 2 (sinh (+ x x))) (sinh (+ x x)) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2) (* x x)) |
| 5.0ms | x | @ | -inf | ((* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) 2 (- (exp (+ x x)) (exp (* (neg x) 2))) (exp (+ x x)) (+ x x) x (exp (* (neg x) 2)) 1 (* 2 (sinh x)) (sinh x) (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) (* (sinh x) 2) (* 2 (sinh (+ x x))) (sinh (+ x x)) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2) (* x x)) |
| 4.0ms | x | @ | 0 | ((* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) 2 (- (exp (+ x x)) (exp (* (neg x) 2))) (exp (+ x x)) (+ x x) x (exp (* (neg x) 2)) 1 (* 2 (sinh x)) (sinh x) (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) (* (sinh x) 2) (* 2 (sinh (+ x x))) (sinh (+ x x)) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2) (* x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 324 | 1787 |
| 0 | 347 | 1520 |
| 1 | 1806 | 1465 |
| 0 | 8522 | 1384 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)))) |
#s(literal 2 binary64) |
(-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64))) |
(exp.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
#s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) (sinh.f64 x)) |
(sinh.f64 x) |
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) |
(*.f64 (sinh.f64 x) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) |
(sinh.f64 (+.f64 x x)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))) |
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))) |
#s(approx (+ (* x x) 2) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 1)) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))))) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ (+ 1/2 (* -1/3 (pow x 2))) x))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* 7/45 (pow x 2)) 1/3))) x))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/45 (* -62/945 (pow x 2)))) 1/3))) x))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (* 4 x))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (* x (+ 4 (* 8/3 (pow x 2)))))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* 8/15 (pow x 2)))))))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* (pow x 2) (+ 8/15 (* 16/315 (pow x 2)))))))))) |
#s(approx (exp (+ x x)) #s(hole binary64 1)) |
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x)))) |
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x)))))) |
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (exp (* (neg x) 2)) #s(hole binary64 1)) |
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* -2 x)))) |
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2))))) |
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2))))) |
#s(approx (* 2 (sinh x)) #s(hole binary64 (* 2 x))) |
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2)))))) |
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))))) |
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))))) |
#s(approx (sinh x) #s(hole binary64 x)) |
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2)))))) |
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))))) |
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))))) |
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(hole binary64 1)) |
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))))) |
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))))) |
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) #s(hole binary64 1/2)) |
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2))))) |
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 5/48 (pow x 2)) 1/4))))) |
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 5/48 (* -61/1440 (pow x 2)))) 1/4))))) |
#s(approx (* (sinh x) 2) #s(hole binary64 (* 2 x))) |
#s(approx (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2)))))) |
#s(approx (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))))) |
#s(approx (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))))) |
#s(approx (* 2 (sinh (+ x x))) #s(hole binary64 (* 4 x))) |
#s(approx (* 2 (sinh (+ x x))) #s(hole binary64 (* x (+ 4 (* 8/3 (pow x 2)))))) |
#s(approx (* 2 (sinh (+ x x))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* 8/15 (pow x 2)))))))) |
#s(approx (* 2 (sinh (+ x x))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* (pow x 2) (+ 8/15 (* 16/315 (pow x 2)))))))))) |
#s(approx (sinh (+ x x)) #s(hole binary64 (* 2 x))) |
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* 4/3 (pow x 2)))))) |
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2)))))))) |
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2)))))))))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1)) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2)) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2)))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))) |
#s(approx (+ (* x x) 2) #s(hole binary64 2)) |
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (exp (* -2 x))))))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ 2 (- (exp (* 2 x)) (exp (* -2 x)))))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (- (exp (* 2 x)) (exp (* -2 x))))) |
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x)))) |
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (exp (* -2 x)))) |
#s(approx (* 2 (sinh x)) #s(hole binary64 (- (exp x) (/ 1 (exp x))))) |
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x)))))) |
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))))) |
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))) |
#s(approx (* (sinh x) 2) #s(hole binary64 (- (exp x) (/ 1 (exp x))))) |
#s(approx (* 2 (sinh (+ x x))) #s(hole binary64 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))) |
#s(approx (sinh (+ x x)) #s(hole binary64 (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x)))))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x))))) |
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))))) |
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (exp (* -2 x))))))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ 2 (- (exp (neg (* -2 x))) (exp (* -2 x)))))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (- (exp (neg (* -2 x))) (exp (* -2 x))))) |
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x))))) |
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))))) |
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))) |
#s(approx (* 2 (sinh (+ x x))) #s(hole binary64 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))) |
#s(approx (sinh (+ x x)) #s(hole binary64 (* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x)))))) |
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x))))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (sinh.f64 x)) |
(*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)))) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal -2 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x (neg.f64 x))))) (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x (neg.f64 x))))) (-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (*.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x (neg.f64 x))))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64))) (*.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (*.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x (neg.f64 x))))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64))))) |
#s(literal 2 binary64) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (*.f64 #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (*.f64 (*.f64 #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64))) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (fma.f64 #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)) (*.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (*.f64 #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (*.f64 (*.f64 #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64))) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (fma.f64 #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)) (*.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (fma.f64 #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)) (*.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)))))) (/.f64 (*.f64 (*.f64 #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64))) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (fma.f64 #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)) (*.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64))))))) |
(-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (exp.f64 x)) (fabs.f64 (exp.f64 x))) |
(*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x))) |
(*.f64 (exp.f64 x) (exp.f64 x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) x) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (neg.f64 x)) |
(pow.f64 (exp.f64 x) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x))) (*.f64 (sinh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)) (fma.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (+.f64 x x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)) (-.f64 (*.f64 (sinh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x))) (*.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
(-.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x))) |
(+.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x))) |
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) x)) |
(exp.f64 (+.f64 x x)) |
(*.f64 #s(literal -2 binary64) (neg.f64 x)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (-.f64 x x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(neg.f64 (*.f64 #s(literal -2 binary64) x)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))) |
(+.f64 x x) |
x |
#s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(*.f64 (sinh.f64 x) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (+.f64 x x)) (cosh.f64 x))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (sinh.f64 x)) |
(/.f64 (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (sinh.f64 x) (sinh.f64 x))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))))) |
(/.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x (neg.f64 x))))))) |
(/.f64 (fma.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x (neg.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(fma.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (sinh.f64 x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) #s(literal 1 binary64)) (sinh.f64 x)) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x (neg.f64 x)))))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x (neg.f64 x))))))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+.f64 (/.f64 (sinh.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (sinh.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(+.f64 (sinh.f64 x) (sinh.f64 x)) |
(*.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(sinh.f64 x) |
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(fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)) (sinh.f64 (+.f64 x x))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) (cosh.f64 x)) (sinh.f64 (+.f64 x x))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))) (/.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (exp.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)))))) (/.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (exp.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))))))) |
(-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
(+.f64 (sinh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x))) |
(*.f64 (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) (cosh.f64 x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (cosh.f64 x))) (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))) (-.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (cosh.f64 x)) (-.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x))) (*.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(sinh.f64 (+.f64 x x)) |
(neg.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x))) |
(fma.f64 (sinh.f64 x) (cosh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64))) |
(+.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x))) |
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))) |
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))) |
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))) |
#s(approx (+ (* x x) 2) (*.f64 x x)) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fabs.f64 (*.f64 x x)) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(literal 1 binary64)) |
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 7/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -62/945 binary64) (*.f64 x x) #s(literal 7/45 binary64)) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) (*.f64 #s(literal 4 binary64) x)) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) (*.f64 (fma.f64 #s(literal 8/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) (*.f64 (fma.f64 (fma.f64 #s(literal 8/15 binary64) (*.f64 x x) #s(literal 8/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 16/315 binary64) (*.f64 x x) #s(literal 8/15 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)) |
#s(approx (exp (+ x x)) #s(literal 1 binary64)) |
#s(approx (exp (+ x x)) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))) |
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ x x) (+.f64 x x)) |
#s(approx x x) |
#s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)) |
#s(approx (exp (* (neg x) 2)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))) |
#s(approx (exp (* (neg x) 2)) (fma.f64 (-.f64 (+.f64 x x) #s(literal 2 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp (* (neg x) 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64))) |
#s(approx (* (sinh x) 2) (+.f64 x x)) |
#s(approx (* (sinh x) 2) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (* (sinh x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (* (sinh x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (sinh x) x) |
#s(approx (sinh x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(literal 1 binary64)) |
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) #s(literal 1/2 binary64)) |
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/48 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -61/1440 binary64) (*.f64 x x) #s(literal 5/48 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (* (sinh x) 2) (+.f64 x x)) |
#s(approx (* (sinh x) 2) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (* (sinh x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (* (sinh x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) (*.f64 #s(literal 4 binary64) x)) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) (*.f64 (fma.f64 #s(literal 8/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) (*.f64 (fma.f64 (fma.f64 #s(literal 8/15 binary64) (*.f64 x x) #s(literal 8/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 16/315 binary64) (*.f64 x x) #s(literal 8/15 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)) |
#s(approx (sinh (+ x x)) (+.f64 x x)) |
#s(approx (sinh (+ x x)) (*.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (sinh (+ x x)) (*.f64 (fma.f64 (fma.f64 #s(literal 4/15 binary64) (*.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (sinh (+ x x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8/315 binary64) (*.f64 x x) #s(literal 4/15 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (+ (exp x) (exp (neg x))) #s(literal 2 binary64)) |
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) |
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (+ (* x x) 2) #s(literal 2 binary64)) |
#s(approx (+ (* x x) 2) (fma.f64 x x #s(literal 2 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) (*.f64 (/.f64 (sinh.f64 x) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (*.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 1/2 binary64))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) (*.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64))) |
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x))) |
#s(approx (exp (* (neg x) 2)) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
#s(approx (* (sinh x) 2) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) |
#s(approx (sinh x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) |
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) (*.f64 (/.f64 (sinh.f64 x) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64))) |
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) (/.f64 (sinh.f64 x) (sinh.f64 (+.f64 x x)))) |
#s(approx (* (sinh x) 2) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) (*.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64))) |
#s(approx (sinh (+ x x)) (*.f64 (*.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
#s(approx (+ (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
#s(approx (+ (* x x) 2) (*.f64 x x)) |
#s(approx (+ (* x x) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) (*.f64 (/.f64 (sinh.f64 x) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64))) |
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (*.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 1/2 binary64))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) (*.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64))) |
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x))) |
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) (*.f64 (/.f64 (sinh.f64 x) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64))) |
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) (/.f64 (sinh.f64 x) (sinh.f64 (+.f64 x x)))) |
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) (*.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64))) |
#s(approx (sinh (+ x x)) (*.f64 (*.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
#s(approx (+ (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
Compiled 6 741 to 1 118 computations (83.4% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 261 | 1 | 262 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 1 | 3 |
| Done | 0 | 4 | 4 |
| Total | 263 | 6 | 269 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.3% | (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (sinh.f64 (+.f64 x x))) |
| ✓ | 76.4% | (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) |
| ✓ | 26.1% | (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))) |
| ✓ | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| ✓ | 53.3% | #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
| ✓ | 53.9% | #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
Compiled 69 to 54 computations (21.7% saved)
| Inputs |
|---|
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (sinh.f64 (+.f64 x x))) |
(*.f64 (sinh.f64 x) #s(literal 2 binary64)) |
(sinh.f64 x) |
x |
#s(literal 2 binary64) |
(sinh.f64 (+.f64 x x)) |
(+.f64 x x) |
| Outputs |
|---|
#s(approx (/ (* (sinh x) 2) (sinh (+ x x))) #s(hole binary64 1)) |
#s(approx (/ (* (sinh x) 2) (sinh (+ x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (/ (* (sinh x) 2) (sinh (+ x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))))) |
#s(approx (/ (* (sinh x) 2) (sinh (+ x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))))) |
#s(approx (* (sinh x) 2) #s(hole binary64 (* 2 x))) |
#s(approx (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2)))))) |
#s(approx (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))))) |
#s(approx (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))))) |
#s(approx (sinh x) #s(hole binary64 x)) |
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2)))))) |
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))))) |
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sinh (+ x x)) #s(hole binary64 (* 2 x))) |
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* 4/3 (pow x 2)))))) |
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2)))))))) |
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2)))))))))) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx (/ (* (sinh x) 2) (sinh (+ x x))) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))))) |
#s(approx (* (sinh x) 2) #s(hole binary64 (- (exp x) (/ 1 (exp x))))) |
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x)))))) |
#s(approx (sinh (+ x x)) #s(hole binary64 (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))) |
#s(approx (/ (* (sinh x) 2) (sinh (+ x x))) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))))) |
#s(approx (sinh (+ x x)) #s(hole binary64 (* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | x | @ | -inf | ((/ (* (sinh x) 2) (sinh (+ x x))) (* (sinh x) 2) (sinh x) x 2 (sinh (+ x x)) (+ x x)) |
| 2.0ms | x | @ | inf | ((/ (* (sinh x) 2) (sinh (+ x x))) (* (sinh x) 2) (sinh x) x 2 (sinh (+ x x)) (+ x x)) |
| 1.0ms | x | @ | 0 | ((/ (* (sinh x) 2) (sinh (+ x x))) (* (sinh x) 2) (sinh x) x 2 (sinh (+ x x)) (+ x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 434 |
| 0 | 135 | 422 |
| 0 | 773 | 400 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (sinh.f64 (+.f64 x x))) |
(*.f64 (sinh.f64 x) #s(literal 2 binary64)) |
(sinh.f64 x) |
x |
#s(literal 2 binary64) |
(sinh.f64 (+.f64 x x)) |
(+.f64 x x) |
#s(approx (/ (* (sinh x) 2) (sinh (+ x x))) #s(hole binary64 1)) |
#s(approx (/ (* (sinh x) 2) (sinh (+ x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (/ (* (sinh x) 2) (sinh (+ x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))))) |
#s(approx (/ (* (sinh x) 2) (sinh (+ x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))))) |
#s(approx (* (sinh x) 2) #s(hole binary64 (* 2 x))) |
#s(approx (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2)))))) |
#s(approx (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))))) |
#s(approx (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))))) |
#s(approx (sinh x) #s(hole binary64 x)) |
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2)))))) |
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))))) |
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sinh (+ x x)) #s(hole binary64 (* 2 x))) |
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* 4/3 (pow x 2)))))) |
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2)))))))) |
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2)))))))))) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx (/ (* (sinh x) 2) (sinh (+ x x))) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))))) |
#s(approx (* (sinh x) 2) #s(hole binary64 (- (exp x) (/ 1 (exp x))))) |
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x)))))) |
#s(approx (sinh (+ x x)) #s(hole binary64 (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))) |
#s(approx (/ (* (sinh x) 2) (sinh (+ x x))) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))))) |
#s(approx (sinh (+ x x)) #s(hole binary64 (* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))) |
| Outputs |
|---|
(*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (neg.f64 (sinh.f64 (+.f64 x x)))) |
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (sinh.f64 (+.f64 x x))) |
(*.f64 (sinh.f64 x) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (sinh.f64 x)) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(sinh.f64 x) |
x |
#s(literal 2 binary64) |
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (neg.f64 (+.f64 x x)))) #s(literal 2 binary64)) |
(sinh.f64 (+.f64 x x)) |
(fma.f64 (sinh.f64 x) (cosh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x))) |
(+.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x))) |
(*.f64 #s(literal -2 binary64) (neg.f64 x)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(neg.f64 (*.f64 #s(literal -2 binary64) x)) |
(+.f64 x x) |
#s(approx (/ (* (sinh x) 2) (sinh (+ x x))) #s(literal 1 binary64)) |
#s(approx (/ (* (sinh x) 2) (sinh (+ x x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (/ (* (sinh x) 2) (sinh (+ x x))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (* (sinh x) 2) (sinh (+ x x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* (sinh x) 2) (+.f64 x x)) |
#s(approx (* (sinh x) 2) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (* (sinh x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (* (sinh x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (sinh x) x) |
#s(approx (sinh x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx x x) |
#s(approx (sinh (+ x x)) (+.f64 x x)) |
#s(approx (sinh (+ x x)) (*.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (sinh (+ x x)) (*.f64 (fma.f64 (fma.f64 #s(literal 4/15 binary64) (*.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (sinh (+ x x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8/315 binary64) (*.f64 x x) #s(literal 4/15 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (+ x x) (+.f64 x x)) |
#s(approx (/ (* (sinh x) 2) (sinh (+ x x))) (*.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (neg.f64 (+.f64 x x))))) #s(literal 2 binary64))) |
#s(approx (* (sinh x) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
#s(approx (sinh x) (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) |
#s(approx (sinh (+ x x)) (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (neg.f64 (+.f64 x x)))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sinh x) 2) (sinh (+ x x))) (*.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (neg.f64 (+.f64 x x))))) #s(literal 2 binary64))) |
#s(approx (sinh (+ x x)) (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (neg.f64 (+.f64 x x)))) #s(literal 1/2 binary64))) |
Compiled 622 to 172 computations (72.3% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 37 | 0 | 37 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 37 | 6 | 43 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.3% | (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (sinh.f64 (+.f64 x x))) |
| ✓ | 76.4% | (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) |
| ✓ | 26.1% | (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))) |
| ✓ | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| ✓ | 53.3% | #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
| ✓ | 53.9% | #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
Compiled 195 to 104 computations (46.7% saved)
| Inputs |
|---|
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (sinh.f64 (+.f64 x x))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(approx (exp (* (neg x) 2)) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
3 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 2.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 100.0% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 100.0% | 1 | x |
Compiled 15 to 13 computations (13.3% saved)
| Inputs |
|---|
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) |
3 calls:
| 3.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 2.0ms | x |
| 1.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.4% | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 76.4% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 76.4% | 1 | x |
Compiled 15 to 13 computations (13.3% saved)
| Inputs |
|---|
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))) |
3 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 1.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.4% | 2 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 76.4% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 76.4% | 2 | x |
Compiled 15 to 13 computations (13.3% saved)
| Inputs |
|---|
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
3 calls:
| 2.0ms | x |
| 1.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 1.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.3% | 2 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 76.3% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 76.3% | 2 | x |
Compiled 15 to 13 computations (13.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
3 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 1.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.9% | 1 | x |
| 53.9% | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 53.9% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 15 to 13 computations (13.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 2.0441009823387725e-6 | 8.998064998611893 |
| 15.0ms | 144× | 0 | valid |
Compiled 308 to 254 computations (17.5% saved)
ival-add!: 5.0ms (42.2% of total)ival-exp: 3.0ms (25.3% of total)ival-neg: 3.0ms (25.3% of total)ival-div!: 1.0ms (8.4% of total)adjust: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0002472976630497635 | 0.9999999999979108 |
Compiled 11 to 11 computations (0% saved)
| 1× | done |
Compiled 103 to 35 computations (66% saved)
(abs x)
Compiled 428 to 218 computations (49.1% saved)
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