
Time bar (total: 2.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 98.4% | 98.3% | 1.6% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 749.0ms | 8 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
ival-sin: 302.0ms (61.2% of total)ival-div!: 73.0ms (14.8% of total)ival-sinh: 68.0ms (13.8% of total)ival-mult!: 48.0ms (9.7% of total)adjust: 2.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 34 | 0 | - | 4 | (-1.8072527722915066e-133 1.6404329890611934e-179) | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 0 | 0 | - | 0 | - | (sinh.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) | u/n | 30 | 0 |
| ↳ | (*.f64 (sin.f64 x) (sinh.f64 y)) | underflow | 30 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 30 | 4 |
| - | 0 | 222 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 30 | 0 | 4 |
| - | 0 | 0 | 222 |
| number | freq |
|---|---|
| 0 | 226 |
| 1 | 30 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 36.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-sin: 12.0ms (57.7% of total)ival-sinh: 3.0ms (14.4% of total)ival-mult!: 3.0ms (14.4% of total)ival-div!: 3.0ms (14.4% of total)adjust: 0.0ms (0% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 48 |
| 1 | 55 | 46 |
| 2 | 156 | 46 |
| 3 | 393 | 46 |
| 4 | 1636 | 46 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.5% | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(abs x)
Compiled 14 to 12 computations (14.3% saved)
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(sin.f64 x) |
x |
(sinh.f64 y) |
y |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* x (- (exp y) (/ 1 (exp y))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (/ (* y (sin x)) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (sin x)))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))))) |
#s(approx (sinh y) #s(hole binary64 y)) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2)))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) x (sinh y) y) |
| 3.0ms | y | @ | -inf | ((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) x (sinh y) y) |
| 2.0ms | x | @ | -inf | ((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) x (sinh y) y) |
| 2.0ms | y | @ | inf | ((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) x (sinh y) y) |
| 1.0ms | x | @ | 0 | ((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) x (sinh y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 717 |
| 0 | 154 | 694 |
| 1 | 850 | 596 |
| 0 | 8099 | 562 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(sin.f64 x) |
x |
(sinh.f64 y) |
y |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* x (- (exp y) (/ 1 (exp y))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (/ (* y (sin x)) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (sin x)))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))))) |
#s(approx (sinh y) #s(hole binary64 y)) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2)))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
| Outputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)) x)) |
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x))) |
(*.f64 (sinh.f64 y) (sin.f64 x)) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (sin.f64 x)) #s(literal 2 binary64)) |
(sin.f64 x) |
x |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (*.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64)) |
(sinh.f64 y) |
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) |
y |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (*.f64 x x)) (*.f64 x x)))) |
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) #s(literal 1/2 binary64))) |
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) x)) |
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) x)) |
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (*.f64 x x)) (*.f64 x x))) x)) |
#s(approx (sin x) x) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x)) |
#s(approx x x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x))) |
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) |
#s(approx (sin x) (sin.f64 x)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x) (*.f64 y y) (/.f64 (sin.f64 x) x)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) x) (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x)) y)) |
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) |
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) y)) |
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x)) y)) |
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 y y) (sin.f64 x)) y)) |
#s(approx (sinh y) y) |
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx y y) |
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
Compiled 797 to 208 computations (73.9% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 40 | 5 | 45 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 40 | 6 | 46 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.5% | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| ▶ | 43.0% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x) |
| ▶ | 99.9% | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| ▶ | 86.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y)) |
| ▶ | 54.4% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
| ▶ | 64.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
Compiled 137 to 106 computations (22.6% saved)
| Inputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 (sinh.f64 y) x) |
(sinh.f64 y) |
y |
x |
(sin.f64 x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 2 binary64) (sinh.f64 y)) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(/.f64 (sin.f64 x) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x) |
(*.f64 (sin.f64 x) #s(approx (sinh y) y)) |
#s(approx (sinh y) y) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))) |
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))) |
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))) |
#s(approx (/ (sinh y) x) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))) |
#s(approx (* (/ (sin x) x) y) #s(hole binary64 y)) |
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* -1/6 (* (pow x 2) y))))) |
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))))) |
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))))) |
#s(approx (/ (sin x) x) #s(hole binary64 1)) |
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))) |
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* x (- (exp y) (/ 1 (exp y))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2)))))) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2))))))) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2))))))))))) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* 1/120 (* y (+ 1 (* 1/6 (pow y 2)))))))))))) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))))) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))))))))) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2)))))))))))) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* x (+ 1 (* 1/6 (pow y 2)))))) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))))) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))))) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2))))))))))))) |
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)))) |
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (/ (* y (sin x)) x))) |
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))))) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x))) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (/ (* (sin x) (+ 1 (* 1/6 (pow y 2)))) x))) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* (sin x) (+ 1 (* 1/6 (pow y 2)))))) |
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (/ (* y (sin x)) x))) |
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))))) |
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))))) |
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))))) |
#s(approx (/ (sinh y) x) #s(hole binary64 (/ y x))) |
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))))) |
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))))) |
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))))) |
#s(approx (sinh y) #s(hole binary64 y)) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2)))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (/ (* y (sin x)) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))))) |
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 y)) |
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2)))))) |
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))) |
#s(approx (* 2 (sinh y)) #s(hole binary64 (* 2 y))) |
#s(approx (* 2 (sinh y)) #s(hole binary64 (* y (+ 2 (* 1/3 (pow y 2)))))) |
#s(approx (* 2 (sinh y)) #s(hole binary64 (* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2)))))))) |
#s(approx (* 2 (sinh y)) #s(hole binary64 (* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (sin x)))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))))) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (/ (* y (sin x)) x))) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))))) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (/ (sin x) x))) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (sin x))) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (* 2 (sinh y)) #s(hole binary64 (- (exp y) (/ 1 (exp y))))) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (* 1/6 (/ (* (pow y 3) (sin x)) x)))) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))))) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (* 1/6 (/ (* (pow y 2) (sin x)) x)))) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))))) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* 1/6 (* (pow y 2) (sin x))))) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))))) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2)))) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))))) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | y | @ | -inf | ((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) y x (sin x) (/ (* (sin x) (sinh y)) x) (* (* 2 (sinh y)) 1/2) (* 2 (sinh y)) 2 1/2 (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sinh y) (/ (* (sin x) (sinh y)) x) (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (* (+ (* (* y y) 1/6) 1) (sin x)) (+ (* (* y y) 1/6) 1) (* y y) 1/6 1) |
| 8.0ms | x | @ | -inf | ((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) y x (sin x) (/ (* (sin x) (sinh y)) x) (* (* 2 (sinh y)) 1/2) (* 2 (sinh y)) 2 1/2 (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sinh y) (/ (* (sin x) (sinh y)) x) (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (* (+ (* (* y y) 1/6) 1) (sin x)) (+ (* (* y y) 1/6) 1) (* y y) 1/6 1) |
| 4.0ms | x | @ | inf | ((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) y x (sin x) (/ (* (sin x) (sinh y)) x) (* (* 2 (sinh y)) 1/2) (* 2 (sinh y)) 2 1/2 (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sinh y) (/ (* (sin x) (sinh y)) x) (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (* (+ (* (* y y) 1/6) 1) (sin x)) (+ (* (* y y) 1/6) 1) (* y y) 1/6 1) |
| 4.0ms | y | @ | inf | ((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) y x (sin x) (/ (* (sin x) (sinh y)) x) (* (* 2 (sinh y)) 1/2) (* 2 (sinh y)) 2 1/2 (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sinh y) (/ (* (sin x) (sinh y)) x) (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (* (+ (* (* y y) 1/6) 1) (sin x)) (+ (* (* y y) 1/6) 1) (* y y) 1/6 1) |
| 3.0ms | x | @ | 0 | ((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) y x (sin x) (/ (* (sin x) (sinh y)) x) (* (* 2 (sinh y)) 1/2) (* 2 (sinh y)) 2 1/2 (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sinh y) (/ (* (sin x) (sinh y)) x) (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (* (+ (* (* y y) 1/6) 1) (sin x)) (+ (* (* y y) 1/6) 1) (* y y) 1/6 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 361 | 2543 |
| 0 | 389 | 2385 |
| 1 | 1956 | 2362 |
| 0 | 8704 | 2270 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 (sinh.f64 y) x) |
(sinh.f64 y) |
y |
x |
(sin.f64 x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 2 binary64) (sinh.f64 y)) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(/.f64 (sin.f64 x) x) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x) |
(*.f64 (sin.f64 x) #s(approx (sinh y) y)) |
#s(approx (sinh y) y) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))) |
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))) |
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))) |
#s(approx (/ (sinh y) x) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))) |
#s(approx (* (/ (sin x) x) y) #s(hole binary64 y)) |
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* -1/6 (* (pow x 2) y))))) |
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))))) |
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))))) |
#s(approx (/ (sin x) x) #s(hole binary64 1)) |
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))) |
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* x (- (exp y) (/ 1 (exp y))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2)))))) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2))))))) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2))))))))))) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* 1/120 (* y (+ 1 (* 1/6 (pow y 2)))))))))))) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))))) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))))))))) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2)))))))))))) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* x (+ 1 (* 1/6 (pow y 2)))))) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))))) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))))) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2))))))))))))) |
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)))) |
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (/ (* y (sin x)) x))) |
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))))) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x))) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (/ (* (sin x) (+ 1 (* 1/6 (pow y 2)))) x))) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* (sin x) (+ 1 (* 1/6 (pow y 2)))))) |
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (/ (* y (sin x)) x))) |
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))))) |
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))))) |
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))))) |
#s(approx (/ (sinh y) x) #s(hole binary64 (/ y x))) |
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))))) |
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))))) |
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))))) |
#s(approx (sinh y) #s(hole binary64 y)) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2)))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (/ (* y (sin x)) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))))) |
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 y)) |
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2)))))) |
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))) |
#s(approx (* 2 (sinh y)) #s(hole binary64 (* 2 y))) |
#s(approx (* 2 (sinh y)) #s(hole binary64 (* y (+ 2 (* 1/3 (pow y 2)))))) |
#s(approx (* 2 (sinh y)) #s(hole binary64 (* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2)))))))) |
#s(approx (* 2 (sinh y)) #s(hole binary64 (* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (sin x)))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))))) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (/ (* y (sin x)) x))) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))))) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (/ (sin x) x))) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (sin x))) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow y 2))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (* (* 2 (sinh y)) 1/2) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (* 2 (sinh y)) #s(hole binary64 (- (exp y) (/ 1 (exp y))))) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (* 1/6 (/ (* (pow y 3) (sin x)) x)))) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))))) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (* 1/6 (/ (* (pow y 2) (sin x)) x)))) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) #s(hole binary64 (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))))) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* 1/6 (* (pow y 2) (sin x))))) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) #s(hole binary64 (* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))))) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* 1/6 (pow y 2)))) |
#s(approx (+ (* (* y y) 1/6) 1) #s(hole binary64 (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))))) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) #s(hole binary64 (* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))))) |
| Outputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 x)) |
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) |
(/.f64 (neg.f64 (sinh.f64 (neg.f64 y))) (neg.f64 (neg.f64 x))) |
(/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 x)) |
(/.f64 (sinh.f64 y) x) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64)) |
(sinh.f64 y) |
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64))) |
y |
x |
(sin.f64 x) |
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 y) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 y y) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (sinh.f64 y)) |
(*.f64 (sinh.f64 y) #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) (fma.f64 (sinh.f64 y) (sinh.f64 y) (-.f64 (*.f64 (sinh.f64 y) (sinh.f64 y)) (*.f64 (sinh.f64 y) (sinh.f64 y))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 y) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (exp.f64 (+.f64 y (neg.f64 y))))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (exp.f64 (+.f64 y (neg.f64 y)))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (exp.f64 (+.f64 y (neg.f64 y)))))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (exp.f64 (+.f64 y (neg.f64 y))))))) |
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
(+.f64 (sinh.f64 y) (sinh.f64 y)) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 x) y))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) y)) (neg.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) y) x)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (sinh y) y) (sin.f64 x)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(approx (sinh y) y) (sin.f64 x))) (neg.f64 x)) |
(/.f64 (*.f64 #s(approx (sinh y) y) (sin.f64 x)) x) |
(*.f64 #s(approx (sinh y) y) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(approx (sinh y) y)) |
#s(approx (sinh y) y) |
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y) |
(*.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 x) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 x) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64)) (sin.f64 x)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (sin.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) x)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) (neg.f64 x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) |
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) x) (*.f64 (*.f64 (*.f64 y y) (/.f64 (sin.f64 x) x)) #s(literal 1/6 binary64))) |
(+.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) x) (/.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 (sin.f64 x) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 (sin.f64 x) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 x) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x))) |
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x))) |
(+.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 (sin.f64 x) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) |
(*.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64)) (*.f64 y y)) |
(*.f64 (*.f64 y y) (+.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y))) |
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) |
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 y) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
#s(approx (* (/ (sinh y) x) (sin x)) (fma.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) |
#s(approx (* (/ (sinh y) x) (sin x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) |
#s(approx (* (/ (sinh y) x) (sin x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) |
#s(approx (/ (sinh y) x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) #s(literal 1/2 binary64))) |
#s(approx x x) |
#s(approx (sin x) x) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.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 y) x) (sin x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
#s(approx (* (/ (sinh y) x) (sin x)) (fma.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) |
#s(approx (* (/ (sinh y) x) (sin x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) |
#s(approx (* (/ (sinh y) x) (sin x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) |
#s(approx (* (/ (sin x) x) y) y) |
#s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/6 binary64) y)) |
#s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)) |
#s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) y)) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)) |
#s(approx (/ (sin x) x) #s(literal 1 binary64)) |
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.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))) |
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) #s(literal 1/2 binary64))) |
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) x)) |
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) x)) |
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) x)) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) (*.f64 x x)) #s(literal -1/6 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) (*.f64 x x)) #s(literal 1/120 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) #s(literal -1/6 binary64))) (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) (*.f64 x x)) #s(literal -1/5040 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) #s(literal -1/6 binary64))) (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (+.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1/120 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(literal -1/6 binary64))) (*.f64 x x)))) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (+.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1/5040 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(literal -1/6 binary64))) (*.f64 x x)))) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (+.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1/120 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(literal -1/6 binary64))) (*.f64 x x))) x)) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (+.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1/5040 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(literal -1/6 binary64))) (*.f64 x x))) x)) |
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x)) #s(literal 1/2 binary64))) |
#s(approx (sin x) (sin.f64 x)) |
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x)) #s(literal 1/2 binary64))) |
#s(approx (* (/ (sin x) x) y) (*.f64 (/.f64 (sin.f64 x) x) y)) |
#s(approx (/ (sin x) x) (/.f64 (sin.f64 x) x)) |
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) |
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (/.f64 (sin.f64 x) x) y)) |
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) (sin.f64 x)) #s(literal 1/6 binary64) (sin.f64 x)) x) y)) |
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) x) (*.f64 y y) (/.f64 (sin.f64 x) x)) y)) |
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (sin.f64 x) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) x) (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x)) y)) |
#s(approx (/ (sinh y) x) (/.f64 y x)) |
#s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) y)) |
#s(approx (/ (sinh y) x) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) (*.f64 y y) (pow.f64 x #s(literal -1 binary64))) y)) |
#s(approx (/ (sinh y) x) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 y y) (pow.f64 x #s(literal -1 binary64))) y)) |
#s(approx (sinh y) y) |
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx y y) |
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (/.f64 (sin.f64 x) x) y)) |
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) (sin.f64 x)) #s(literal 1/6 binary64) (sin.f64 x)) x) y)) |
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) x) (*.f64 y y) (/.f64 (sin.f64 x) x)) y)) |
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (sin.f64 x) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) x) (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x)) y)) |
#s(approx (* (* 2 (sinh y)) 1/2) y) |
#s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) |
#s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (* 2 (sinh y)) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (* 2 (sinh y)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) |
#s(approx (* 2 (sinh y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) |
#s(approx (* 2 (sinh y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) |
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) |
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (sin.f64 x)) #s(literal 1/6 binary64) (sin.f64 x)) y)) |
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 y y) (sin.f64 x)) y)) |
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (sin.f64 x) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 y y) (sin.f64 x)) y)) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (*.f64 (/.f64 (sin.f64 x) x) y)) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) (sin.f64 x)) #s(literal 1/6 binary64) (sin.f64 x)) x) y)) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (/.f64 (sin.f64 x) x)) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (sin.f64 x)) #s(literal 1/6 binary64) (sin.f64 x)) x)) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (sin.f64 x)) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (fma.f64 (*.f64 (*.f64 y y) (sin.f64 x)) #s(literal 1/6 binary64) (sin.f64 x))) |
#s(approx (+ (* (* y y) 1/6) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
#s(approx (* (* 2 (sinh y)) 1/2) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
#s(approx (* 2 (sinh y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (sin.f64 x) x)) #s(literal 1/6 binary64))) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (*.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 1/6 binary64) (/.f64 (/.f64 (sin.f64 x) x) (*.f64 y y))) (pow.f64 y #s(literal 3 binary64)))) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (*.f64 (*.f64 (*.f64 y y) (/.f64 (sin.f64 x) x)) #s(literal 1/6 binary64))) |
#s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (*.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 1/6 binary64) (/.f64 (/.f64 (sin.f64 x) x) (*.f64 y y))) (*.f64 y y))) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x))) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 y y))) (*.f64 y y))) |
#s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
#s(approx (+ (* (* y y) 1/6) 1) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
#s(approx (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (neg.f64 (*.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal -1/6 binary64) (neg.f64 (/.f64 (/.f64 (sin.f64 x) x) (*.f64 y y)))) (pow.f64 y #s(literal 3 binary64))))) |
Compiled 5 738 to 1 016 computations (82.3% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 214 | 3 | 217 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 215 | 8 | 223 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.5% | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| ✓ | 43.0% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x) |
| ▶ | 22.2% | (/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x) |
| ▶ | 66.8% | (*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) y) x)) |
| ✓ | 86.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y)) |
| ✓ | 54.4% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
| ✓ | 64.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
| ▶ | 27.8% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y)) |
Compiled 101 to 75 computations (25.7% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y)) |
#s(approx (* (/ (sin x) x) y) y) |
y |
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) y) x)) |
(sin.f64 x) |
x |
(/.f64 #s(approx (sinh y) y) x) |
#s(approx (sinh y) y) |
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x) |
(*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) |
#s(approx (sin x) x) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))) |
#s(approx (* (/ (sin x) x) y) #s(hole binary64 y)) |
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* -1/6 (* (pow x 2) y))))) |
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))))) |
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (sinh y) x) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* x (- (exp y) (/ 1 (exp y))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)))) |
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (/ (* y (sin x)) x))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (/ (* y (sin x)) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (/ (* y (sin x)) x))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))))) |
#s(approx (/ (sinh y) x) #s(hole binary64 (/ y x))) |
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))))) |
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))))) |
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))))) |
#s(approx (sinh y) #s(hole binary64 y)) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2)))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (sin x)))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))))) |
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) y (* (sin x) (/ (sinh y) x)) (sin x) x (/ (sinh y) x) (sinh y) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x)) |
| 2.0ms | y | @ | -inf | ((/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) y (* (sin x) (/ (sinh y) x)) (sin x) x (/ (sinh y) x) (sinh y) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x)) |
| 2.0ms | y | @ | inf | ((/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) y (* (sin x) (/ (sinh y) x)) (sin x) x (/ (sinh y) x) (sinh y) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x)) |
| 2.0ms | x | @ | inf | ((/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) y (* (sin x) (/ (sinh y) x)) (sin x) x (/ (sinh y) x) (sinh y) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x)) |
| 1.0ms | x | @ | 0 | ((/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) y (* (sin x) (/ (sinh y) x)) (sin x) x (/ (sinh y) x) (sinh y) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 211 | 1267 |
| 0 | 217 | 1226 |
| 1 | 1173 | 1138 |
| 0 | 8162 | 1078 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y)) |
#s(approx (* (/ (sin x) x) y) y) |
y |
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) y) x)) |
(sin.f64 x) |
x |
(/.f64 #s(approx (sinh y) y) x) |
#s(approx (sinh y) y) |
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x) |
(*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) |
#s(approx (sin x) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))) |
#s(approx (* (/ (sin x) x) y) #s(hole binary64 y)) |
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* -1/6 (* (pow x 2) y))))) |
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))))) |
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (sinh y) x) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* x (- (exp y) (/ 1 (exp y))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)))) |
#s(approx (* (/ (sin x) x) y) #s(hole binary64 (/ (* y (sin x)) x))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (/ (* y (sin x)) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (/ (* y (sin x)) x))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))))) |
#s(approx (/ (sinh y) x) #s(hole binary64 (/ y x))) |
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))))) |
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))))) |
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))))) |
#s(approx (sinh y) #s(hole binary64 y)) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2)))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (sin x)))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))) |
#s(approx (* (sin x) (sinh y)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))))) |
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
| Outputs |
|---|
#s(approx (* (sin x) (/ (sinh y) x)) #s(approx (* (/ (sin x) x) y) y)) |
#s(approx (* (/ (sin x) x) y) y) |
y |
(*.f64 (/.f64 #s(approx (sinh y) y) x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) y) x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y))) (neg.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x) |
(sin.f64 x) |
x |
(/.f64 (neg.f64 (neg.f64 #s(approx (sinh y) y))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 #s(approx (sinh y) y)) (neg.f64 x)) |
(/.f64 #s(approx (sinh y) y) x) |
(neg.f64 (/.f64 (neg.f64 #s(approx (sinh y) y)) x)) |
(neg.f64 (/.f64 #s(approx (sinh y) y) (neg.f64 x))) |
#s(approx (sinh y) y) |
(*.f64 #s(approx (sin x) x) (/.f64 #s(approx (sinh y) y) x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (sin x) x)) #s(approx (sinh y) y))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 #s(approx (sin x) x)) #s(approx (sinh y) y)) (neg.f64 x)) |
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x) |
(neg.f64 (/.f64 (*.f64 (neg.f64 #s(approx (sin x) x)) #s(approx (sinh y) y)) x)) |
(neg.f64 (/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) (neg.f64 x))) |
(*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) |
(*.f64 #s(approx (sinh y) y) #s(approx (sin x) x)) |
#s(approx (sin x) x) |
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
#s(approx (* (sin x) (/ (sinh y) x)) (fma.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) |
#s(approx (* (/ (sin x) x) y) y) |
#s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/6 binary64) y)) |
#s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) y) (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)) |
#s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x x) y) (*.f64 #s(literal 1/120 binary64) y)) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)) |
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
#s(approx (* (sin x) (/ (sinh y) x)) (fma.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) |
#s(approx (sin x) x) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin 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 (sin 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 y) x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) #s(literal 1/2 binary64))) |
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) #s(literal 1/2 binary64))) |
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) x)) |
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) x)) |
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) x)) |
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x)) #s(literal 1/2 binary64))) |
#s(approx (* (/ (sin x) x) y) (*.f64 (/.f64 (sin.f64 x) x) y)) |
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x)) #s(literal 1/2 binary64))) |
#s(approx (sin x) (sin.f64 x)) |
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) |
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (/.f64 (sin.f64 x) x) y)) |
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x)) x) y)) |
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) x) (*.f64 y y) (/.f64 (sin.f64 x) x)) y)) |
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (sin.f64 x) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) x) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) x))) (*.f64 y y) (/.f64 (sin.f64 x) x)) y)) |
#s(approx y y) |
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (/.f64 (sin.f64 x) x) y)) |
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x)) x) y)) |
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) x) (*.f64 y y) (/.f64 (sin.f64 x) x)) y)) |
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (sin.f64 x) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) x) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) x))) (*.f64 y y) (/.f64 (sin.f64 x) x)) y)) |
#s(approx (/ (sinh y) x) (/.f64 y x)) |
#s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) y)) |
#s(approx (/ (sinh y) x) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) (*.f64 y y) (pow.f64 x #s(literal -1 binary64))) y)) |
#s(approx (/ (sinh y) x) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 y y) (pow.f64 x #s(literal -1 binary64))) y)) |
#s(approx (sinh y) y) |
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) |
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x)) y)) |
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 y y) (sin.f64 x)) y)) |
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) (sin.f64 x) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 y y) (sin.f64 x)) y)) |
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
Compiled 1 186 to 242 computations (79.6% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 58 | 1 | 59 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 5 | 5 |
| Total | 58 | 9 | 67 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.5% | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| ✓ | 43.0% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x) |
| ✓ | 22.2% | (/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x) |
| ✓ | 66.8% | (*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) y) x)) |
| ▶ | 51.6% | (*.f64 #s(approx (sin x) x) (/.f64 #s(approx (sinh y) y) x)) |
| ✓ | 86.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y)) |
| ✓ | 54.4% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
| ✓ | 64.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
| ✓ | 27.8% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y)) |
Compiled 112 to 83 computations (25.9% saved)
| Inputs |
|---|
(*.f64 #s(approx (sin x) x) (/.f64 #s(approx (sinh y) y) x)) |
#s(approx (sin x) x) |
x |
(/.f64 #s(approx (sinh y) y) x) |
#s(approx (sinh y) y) |
y |
| Outputs |
|---|
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (sinh y) x) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (/ (* y (sin x)) x))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))))) |
#s(approx (/ (sinh y) x) #s(hole binary64 (/ y x))) |
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))))) |
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))))) |
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))))) |
#s(approx (sinh y) #s(hole binary64 y)) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2)))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((* (sin x) (/ (sinh y) x)) (sin x) x (/ (sinh y) x) (sinh y) y) |
| 1.0ms | y | @ | -inf | ((* (sin x) (/ (sinh y) x)) (sin x) x (/ (sinh y) x) (sinh y) y) |
| 1.0ms | y | @ | inf | ((* (sin x) (/ (sinh y) x)) (sin x) x (/ (sinh y) x) (sinh y) y) |
| 1.0ms | x | @ | inf | ((* (sin x) (/ (sinh y) x)) (sin x) x (/ (sinh y) x) (sinh y) y) |
| 1.0ms | x | @ | 0 | ((* (sin x) (/ (sinh y) x)) (sin x) x (/ (sinh y) x) (sinh y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 143 | 570 |
| 0 | 145 | 551 |
| 1 | 834 | 497 |
| 0 | 8084 | 467 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 #s(approx (sin x) x) (/.f64 #s(approx (sinh y) y) x)) |
#s(approx (sin x) x) |
x |
(/.f64 #s(approx (sinh y) y) x) |
#s(approx (sinh y) y) |
y |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (sinh y) x) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (/ (* y (sin x)) x))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))))) |
#s(approx (* (sin x) (/ (sinh y) x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))))) |
#s(approx (/ (sinh y) x) #s(hole binary64 (/ y x))) |
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))))) |
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))))) |
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))))) |
#s(approx (sinh y) #s(hole binary64 y)) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2)))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (sinh y) y) x) #s(approx (sin x) x)) |
(*.f64 #s(approx (sin x) x) (/.f64 #s(approx (sinh y) y) x)) |
(/.f64 (*.f64 (neg.f64 #s(approx (sinh y) y)) #s(approx (sin x) x)) (neg.f64 x)) |
(/.f64 (*.f64 #s(approx (sin x) x) (neg.f64 #s(approx (sinh y) y))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 #s(approx (sinh y) y) #s(approx (sin x) x))) (neg.f64 x)) |
(/.f64 (*.f64 #s(approx (sinh y) y) #s(approx (sin x) x)) x) |
#s(approx (sin x) x) |
x |
(/.f64 (neg.f64 (neg.f64 #s(approx (sinh y) y))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 #s(approx (sinh y) y)) (neg.f64 x)) |
(/.f64 #s(approx (sinh y) y) x) |
(neg.f64 (/.f64 (neg.f64 #s(approx (sinh y) y)) x)) |
(neg.f64 (/.f64 #s(approx (sinh y) y) (neg.f64 x))) |
#s(approx (sinh y) y) |
y |
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) x)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) x)) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (*.f64 x x)) (*.f64 x x)))) |
#s(approx (sin x) x) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin 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 (sin 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 y) x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) #s(literal 1/2 binary64))) |
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x))) |
#s(approx (sin x) (sin.f64 x)) |
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (/.f64 (sin.f64 x) x) y)) |
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y (sin.f64 x)) y) #s(literal 1/6 binary64) (sin.f64 x)) x) y)) |
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (*.f64 y (sin.f64 x)) y) #s(literal 1/120 binary64))) x) (*.f64 y y) (/.f64 (sin.f64 x) x)) y)) |
#s(approx (* (sin x) (/ (sinh y) x)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 x) (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 y (sin.f64 x)) y))) x) (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x)) y)) |
#s(approx (/ (sinh y) x) (/.f64 y x)) |
#s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) y)) |
#s(approx (/ (sinh y) x) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) (/.f64 y x))) |
#s(approx (/ (sinh y) x) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 y x))) |
#s(approx (sinh y) y) |
#s(approx (sinh y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx y y) |
#s(approx (sinh y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
Compiled 661 to 158 computations (76.1% saved)
9 alts after pruning (0 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 34 | 0 | 34 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 34 | 9 | 43 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.5% | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| ✓ | 43.0% | (/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x) |
| ✓ | 22.2% | (/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x) |
| ✓ | 66.8% | (*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) y) x)) |
| ✓ | 51.6% | (*.f64 #s(approx (sin x) x) (/.f64 #s(approx (sinh y) y) x)) |
| ✓ | 86.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y)) |
| ✓ | 54.4% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
| ✓ | 64.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
| ✓ | 27.8% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y)) |
Compiled 231 to 124 computations (46.3% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y)) |
(*.f64 #s(approx (sin x) x) (/.f64 #s(approx (sinh y) y) x)) |
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) y) x)) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y)) |
| Outputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
4 calls:
| 9.0ms | y |
| 3.0ms | x |
| 3.0ms | (sinh.f64 y) |
| 3.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (sinh.f64 y) |
| 99.9% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 99.9% | 1 | x |
| 99.9% | 1 | y |
Compiled 11 to 13 computations (-18.2% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y)) |
(*.f64 #s(approx (sin x) x) (/.f64 #s(approx (sinh y) y) x)) |
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 (sin.f64 x) (/.f64 #s(approx (sinh y) y) x)) |
(/.f64 (*.f64 (sin.f64 x) #s(approx (sinh y) y)) x) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
4 calls:
| 3.0ms | y |
| 3.0ms | x |
| 2.0ms | (sinh.f64 y) |
| 2.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.7% | 3 | (sinh.f64 y) |
| 90.7% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 79.3% | 2 | x |
| 90.7% | 3 | y |
Compiled 11 to 13 computations (-18.2% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y)) |
(*.f64 #s(approx (sin x) x) (/.f64 #s(approx (sinh y) y) x)) |
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (sin x) x) (/.f64 #s(approx (sinh y) y) x)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))) |
4 calls:
| 8.0ms | x |
| 2.0ms | y |
| 2.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 2.0ms | (sinh.f64 y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.9% | 2 | x |
| 75.5% | 3 | (sinh.f64 y) |
| 75.5% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 75.5% | 3 | y |
Compiled 11 to 13 computations (-18.2% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y)) |
(*.f64 #s(approx (sin x) x) (/.f64 #s(approx (sinh y) y) x)) |
(/.f64 (*.f64 #s(approx (sin x) x) #s(approx (sinh y) y)) x) |
| Outputs |
|---|
(*.f64 #s(approx (sin x) x) (/.f64 #s(approx (sinh y) y) x)) |
4 calls:
| 2.0ms | x |
| 1.0ms | y |
| 1.0ms | (sinh.f64 y) |
| 1.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.6% | 1 | x |
| 51.6% | 1 | (sinh.f64 y) |
| 51.6% | 1 | y |
| 51.6% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 11 to 13 computations (-18.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y)) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) y)) |
4 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (sinh.f64 y) |
| 1.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.8% | 1 | (sinh.f64 y) |
| 27.8% | 1 | x |
| 27.8% | 1 | y |
| 27.8% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 11 to 13 computations (-18.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 55.0ms | 3.27726151892847e-6 | 24186.703111370298 |
| 7.0ms | -0.003300259296756652 | -0.0018232370071143754 |
| 53.0ms | 224× | 0 | valid |
Compiled 402 to 347 computations (13.7% saved)
ival-sin: 43.0ms (89.8% of total)ival-sinh: 2.0ms (4.2% of total)ival-mult!: 1.0ms (2.1% of total)ival-div!: 1.0ms (2.1% of total)adjust: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.9418289100284967e-289 | 1.3237445785736701e-278 |
| 0.0ms | -0.003300265287671897 | -2.35425741145949e-9 |
Compiled 10 to 11 computations (-10% saved)
| 1× | done |
Compiled 143 to 40 computations (72% saved)
(abs x)
Compiled 586 to 234 computations (60.1% saved)
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