
Time bar (total: 8.7s)
| 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)
| 992.0ms | 8 256× | 0 | valid |
ival-sin: 321.0ms (55.4% of total)ival-sinh: 97.0ms (16.7% of total)ival-mult: 88.0ms (15.2% of total)ival-div: 62.0ms (10.7% of total)ival-true: 5.0ms (0.9% of total)ival-assert: 4.0ms (0.7% of total)adjust: 2.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 39 | 0 | - | 6 | (-4.0130885569933797e-109 8.28345781447268e-212) | (/.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 | 33 | 0 |
| ↳ | (*.f64 (sin.f64 x) (sinh.f64 y)) | underflow | 33 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 33 | 6 |
| - | 0 | 217 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 33 | 0 | 6 |
| - | 0 | 0 | 217 |
| number | freq |
|---|---|
| 0 | 223 |
| 1 | 33 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 37.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-sin: 13.0ms (55% of total)ival-div: 3.0ms (12.7% of total)ival-mult: 3.0ms (12.7% of total)ival-sinh: 3.0ms (12.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 43 |
| 1 | 50 | 41 |
| 2 | 148 | 39 |
| 3 | 390 | 39 |
| 4 | 1507 | 39 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 19 | 7 |
| 2 | 40 | 7 |
| 3 | 86 | 7 |
| 4 | 306 | 7 |
| 5 | 1819 | 7 |
| 6 | 5585 | 7 |
| 0 | 8523 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(abs x)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.9% | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sinh.f64 y) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) (sinh.f64 y)) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 10 | 18 |
| 1 | 19 | 18 |
| 2 | 40 | 18 |
| 3 | 86 | 18 |
| 4 | 306 | 18 |
| 5 | 1819 | 18 |
| 6 | 5585 | 18 |
| 0 | 8523 | 18 |
| 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 |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (sinh.f64 y) (sin.f64 x)) |
(sin.f64 x) |
x |
(sinh.f64 y) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sinh.f64 y) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.0625 | (*.f64 (sin.f64 x) (sinh.f64 y)) | |
| accuracy | 8.390533635831407 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 19.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-sin: 7.0ms (57.7% of total)ival-div: 2.0ms (16.5% of total)ival-mult: 2.0ms (16.5% of total)ival-sinh: 1.0ms (8.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(sin.f64 x) |
(sinh.f64 y) |
| Outputs |
|---|
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 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)))))))) |
(+ (* 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))))))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(* 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))))))))) |
(* 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)))))))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(sin x) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* 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))) |
(* y (sin x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | ((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) (sinh y)) |
| 2.0ms | y | @ | inf | ((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) (sinh y)) |
| 2.0ms | y | @ | 0 | ((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) (sinh y)) |
| 2.0ms | x | @ | inf | ((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) (sinh y)) |
| 1.0ms | x | @ | -inf | ((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) (sinh y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 506 |
| 1 | 434 | 438 |
| 2 | 1692 | 406 |
| 3 | 5247 | 404 |
| 0 | 8163 | 370 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 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)))))))) |
(+ (* 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))))))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(* 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))))))))) |
(* 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)))))))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(sin x) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* 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))) |
(* y (sin x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
| Outputs |
|---|
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+ (* 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)))))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 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))))))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 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))))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 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)))))))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(sin x) |
(sin.f64 x) |
(/ (* y (sin x)) x) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)) x) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y) |
(* 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))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) x) y) |
(* y (sin x)) |
(*.f64 (sin.f64 x) y) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(*.f64 (*.f64 (sin.f64 x) (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) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (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)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 22 | 16 |
| 2 | 75 | 16 |
| 3 | 436 | 16 |
| 4 | 5695 | 16 |
| 0 | 8184 | 16 |
| 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) |
(sinh.f64 y) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) x) (/.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) (/.f64 (sin.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x)) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (sinh.f64 (neg.f64 y))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) (/.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) x)) |
(*.f64 (/.f64 (sinh.f64 (neg.f64 y)) x) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
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(/.f64 (*.f64 (cosh.f64 y) (sinh.f64 (neg.f64 y))) (neg.f64 (cosh.f64 y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (cosh.f64 y) (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) (/.f64 #s(literal 2 binary64) (exp.f64 y)))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 y)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y)))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 y)) (*.f64 #s(literal 2 binary64) (exp.f64 y))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 y)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y)))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) (exp.f64 y))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 y)))) |
(/.f64 (-.f64 (neg.f64 (exp.f64 y)) (/.f64 #s(literal -1 binary64) (exp.f64 y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal -4 binary64) (sinh.f64 y)) #s(literal -4 binary64)) |
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 y)) #s(literal 4 binary64)) |
(/.f64 (*.f64 (cosh.f64 y) (sinh.f64 y)) (cosh.f64 y)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) (pow.f64 (exp.f64 y) #s(literal -4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y))) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal -3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (cosh.f64 y) (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 6 binary64)) (pow.f64 (exp.f64 y) #s(literal -6 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 y) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 y) #s(literal 4 binary64))) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 6 binary64)) (pow.f64 (exp.f64 y) #s(literal -6 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) y))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 9 binary64)) (pow.f64 (exp.f64 y) #s(literal -9 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 y) #s(literal -6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 y) #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 y)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y)))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y)))) (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y)))) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) (/.f64 #s(literal 2 binary64) (exp.f64 y))) #s(literal 4 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y))) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 y)) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y))) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.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) |
(neg.f64 (sinh.f64 (neg.f64 y))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(-.f64 (*.f64 (sinh.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) (pow.f64 (cosh.f64 y) #s(literal 3 binary64))))) (cosh.f64 (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) y)) (*.f64 (cosh.f64 y) (sinh.f64 y)))))) (*.f64 (cosh.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) (pow.f64 (cosh.f64 y) #s(literal 3 binary64))))) (sinh.f64 (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) y)) (*.f64 (cosh.f64 y) (sinh.f64 y))))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cosh.f64 y)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 y)))) |
(-.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (cosh.f64 y) #s(literal 2 binary64))) (/.f64 (sinh.f64 y) #s(literal -2 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 y)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal -2 binary64)) (cosh.f64 y))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (cosh.f64 y) (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (cosh.f64 y) (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (-.f64 (exp.f64 y) (cosh.f64 y)) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal -2 binary64))) |
(-.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 y)) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 2 binary64)) (cosh.f64 y)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y)))) |
(+.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (cosh.f64 y) #s(literal 2 binary64))) (/.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64))) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (-.f64 (exp.f64 y) (cosh.f64 y)) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(+.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cosh.f64 y) #s(literal 2 binary64)) (-.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))))) |
(+.f64 (/.f64 (cosh.f64 y) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 y) (exp.f64 (neg.f64 y))) #s(literal 2 binary64))) |
Compiled 3 625 to 776 computations (78.6% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 201 | 7 | 208 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 201 | 8 | 209 |
| Status | Accuracy | Program |
|---|---|---|
| 38.4% | (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))) | |
| ✓ | 86.9% | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| ▶ | 78.8% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (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)) x) |
| ▶ | 40.0% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
| ▶ | 99.9% | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| ▶ | 91.9% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)) |
| ▶ | 53.1% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
| 48.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
Compiled 247 to 180 computations (27.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (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)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (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)) x) | |
| cost-diff | 2 | (*.f64 (*.f64 (sin.f64 x) (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) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)) | |
| cost-diff | 2 | (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) y) | |
| cost-diff | 0 | #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (/.f64 (sin.f64 x) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 x) x) y) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (sinh.f64 y) | |
| cost-diff | 0 | (/.f64 (sinh.f64 y) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 279 |
| 0 | 46 | 279 |
| 1 | 85 | 279 |
| 2 | 231 | 279 |
| 3 | 881 | 274 |
| 4 | 4162 | 274 |
| 0 | 8084 | 269 |
| 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 (sin.f64 x) x) y)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
y |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) |
(*.f64 (sin.f64 x) y) |
(sin.f64 x) |
x |
y |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(sin.f64 x) |
x |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (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)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (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)) |
(*.f64 (*.f64 (sin.f64 x) (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) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(sin.f64 x) |
x |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (sinh.f64 y) x) |
(sinh.f64 y) |
y |
x |
(sin.f64 x) |
#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) |
(sin.f64 x) |
x |
y |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) |
(*.f64 (sin.f64 x) y) |
(sin.f64 x) |
x |
y |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) x) (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y) |
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) x) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) |
(sin.f64 x) |
x |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (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)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (sin.f64 x))) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (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 (* (sin x) (sinh y)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) (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) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) |
(sin.f64 x) |
x |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (*.f64 (*.f64 (sin.f64 x) (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) | |
| accuracy | 1.3906401042138465 | (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 6.791510078934705 | #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (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)) | |
| accuracy | 8.390533635831407 | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (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)) x) | |
| accuracy | 0.06640625 | (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y) | |
| accuracy | 1.3906401042138465 | (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 1.7094433901579036 | (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) | |
| accuracy | 5.863216541358778 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.11328125 | (*.f64 (sin.f64 x) y) | |
| accuracy | 8.390533635831407 | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) | |
| accuracy | 29.93366104529855 | #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.078125 | (/.f64 (sin.f64 x) x) | |
| accuracy | 0.12109375 | (*.f64 (/.f64 (sin.f64 x) x) y) | |
| accuracy | 29.968207621630512 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) | |
| accuracy | 0.0 | (sinh.f64 y) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.00390625 | (/.f64 (sinh.f64 y) x) | |
| accuracy | 0.078125 | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| 66.0ms | 256× | 0 | valid |
Compiled 227 to 25 computations (89% saved)
ival-mult: 19.0ms (42.5% of total)const: 9.0ms (20.1% of total)ival-div: 6.0ms (13.4% of total)ival-sin: 6.0ms (13.4% of total)ival-add: 2.0ms (4.5% of total)ival-sinh: 2.0ms (4.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 (sinh.f64 y) x) |
(sinh.f64 y) |
(sin.f64 x) |
#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 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) |
(*.f64 (sin.f64 x) y) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sin.f64 x) (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) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (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)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (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)) |
| Outputs |
|---|
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 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)))))))) |
(+ (* 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))))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(* 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))))))))) |
(* 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)))))))))) |
(* x y) |
(* x (+ y (* -1/6 (* (pow x 2) y)))) |
(* x (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))) |
(* x (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))) |
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
(* x (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))) |
(* x (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(sin x) |
(/ (* y (sin x)) x) |
(/ (sin x) x) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* y (sin x)) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* 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))) |
(/ y x) |
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)) |
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(* 1/120 (/ (* (pow y 5) (sin x)) x)) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(* 1/120 (/ (* (pow y 4) (sin x)) x)) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(* 1/120 (* (pow y 4) (sin x))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(* 1/120 (* (pow y 5) (sin x))) |
(* (pow y 5) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | y | @ | inf | ((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) y) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (sinh y)) x) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y))) |
| 17.0ms | y | @ | -inf | ((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) y) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (sinh y)) x) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y))) |
| 8.0ms | x | @ | inf | ((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) y) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (sinh y)) x) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y))) |
| 8.0ms | x | @ | -inf | ((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) y) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (sinh y)) x) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y))) |
| 3.0ms | x | @ | 0 | ((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) y) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (sinh y)) x) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 253 | 1898 |
| 1 | 1013 | 1652 |
| 2 | 4592 | 1462 |
| 0 | 8647 | 1322 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 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)))))))) |
(+ (* 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))))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(* 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))))))))) |
(* 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)))))))))) |
(* x y) |
(* x (+ y (* -1/6 (* (pow x 2) y)))) |
(* x (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))) |
(* x (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))) |
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
(* x (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))) |
(* x (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(sin x) |
(/ (* y (sin x)) x) |
(/ (sin x) x) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* y (sin x)) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* 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))) |
(/ y x) |
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)) |
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(* 1/120 (/ (* (pow y 5) (sin x)) x)) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(* 1/120 (/ (* (pow y 4) (sin x)) x)) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(* 1/120 (* (pow y 4) (sin x))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(* 1/120 (* (pow y 5) (sin x))) |
(* (pow y 5) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x)))))) |
| Outputs |
|---|
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 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)))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 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))))))))) |
(fma.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.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) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(fma.f64 (-.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)) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) x) |
(* 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))))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 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)))))))))) |
(*.f64 (fma.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))))) x) |
(* x y) |
(*.f64 x y) |
(* x (+ y (* -1/6 (* (pow x 2) y)))) |
(*.f64 y (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) |
(* x (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y) x) |
(* x (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x y)) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) |
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) |
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(fma.f64 (*.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)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.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)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 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)) x) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(*.f64 (fma.f64 (*.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)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.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)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))) x) |
(* x (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) x) |
(* x (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) |
(* x (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) x) |
(* x (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x)) |
(sin x) |
(sin.f64 x) |
(/ (* y (sin x)) x) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* y (sin x)) |
(*.f64 (sin.f64 x) y) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (sin.f64 x)) x) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(*.f64 (/.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)) x) (sin.f64 x)) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 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)) (sin.f64 x)) |
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (sin.f64 x)) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)) x) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (sin.f64 x)) x) |
(* 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))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))))) y) |
(/ y x) |
(/.f64 y x) |
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y) x) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(*.f64 (/.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)) x) y) |
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/5040 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x) (/.f64 y x)) |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (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)) y) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (sin.f64 x)) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))))) y) |
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) |
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)) |
(*.f64 (/.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)) x) (sin.f64 x)) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(*.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)) (sin.f64 x)) |
(* 1/120 (/ (* (pow y 5) (sin x)) x)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) x)) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))) (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64))) |
(* 1/120 (/ (* (pow y 4) (sin x)) x)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) x)) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))) (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(* 1/120 (* (pow y 4) (sin x))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) (sin.f64 x)) |
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(*.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1/120 binary64))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(*.f64 (fma.f64 (sin.f64 x) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1/120 binary64)) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(* 1/120 (* (pow y 5) (sin x))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64)) (sin.f64 x)) |
(* (pow y 5) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(*.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1/120 binary64))) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(*.f64 (fma.f64 (sin.f64 x) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1/120 binary64)) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64))) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 5 binary64))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))) (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64))) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x))))) |
(*.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1/120 binary64))) (pow.f64 y #s(literal 5 binary64))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x)))))) |
(*.f64 (fma.f64 (sin.f64 x) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1/120 binary64)) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 201 |
| 0 | 46 | 201 |
| 1 | 127 | 201 |
| 2 | 675 | 196 |
| 3 | 6569 | 196 |
| 0 | 8212 | 191 |
| 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) |
(sin.f64 x) |
#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 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) |
(*.f64 (sin.f64 x) y) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sin.f64 x) (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) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (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)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (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)) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (sinh.f64 y) x) #s(literal 1 binary64)) (sin.f64 x)) |
(*.f64 (sinh.f64 (neg.f64 y)) (/.f64 (neg.f64 (sin.f64 x)) x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sinh.f64 (neg.f64 y)) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #s(literal 1 binary64)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) x)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (neg.f64 (sin.f64 x))) (*.f64 #s(literal -2 binary64) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (sin.f64 x)) (*.f64 #s(literal -2 binary64) x)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (neg.f64 (sin.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y)) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
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(fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 (sin.f64 x) y) (*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (sin.f64 x) y))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (*.f64 (sin.f64 x) y)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 (*.f64 (sin.f64 x) y) y) (*.f64 (sin.f64 x) y)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) y) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) y (*.f64 (sin.f64 x) y)) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) (*.f64 (sin.f64 x) y) (*.f64 (sin.f64 x) y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) y) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (sin.f64 x))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 x) y) y) y) (*.f64 (sin.f64 x) y)) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (sin.f64 x)) (*.f64 (sin.f64 x) y)) |
(fma.f64 (*.f64 (sin.f64 x) y) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 x) y) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (sin.f64 x) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) (*.f64 (sin.f64 x) y)) |
(fma.f64 (*.f64 (sin.f64 x) y) #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (sin.f64 x))) |
(fma.f64 (sin.f64 x) (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) y)) |
(fma.f64 (sin.f64 x) y (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (sin.f64 x))) |
(fma.f64 y (*.f64 (*.f64 (*.f64 (sin.f64 x) y) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) y)) |
(fma.f64 y (sin.f64 x) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (sin.f64 x))) |
(-.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) y)) |
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 (sin.f64 x) y)) (*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (sin.f64 x) y))) |
(+.f64 (*.f64 (*.f64 (sin.f64 x) y) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)) #s(literal 1 binary64)))) (*.f64 (*.f64 (sin.f64 x) y) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (sin.f64 x)) (*.f64 (sin.f64 x) y)) |
(+.f64 (*.f64 (sin.f64 x) y) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (sin.f64 x))) |
(/.f64 (neg.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (sin.f64 x)))) (neg.f64 x)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (sin.f64 x))) x) |
(neg.f64 (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (sin.f64 x))) (neg.f64 x))) |
#s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (sin.f64 x))) |
(neg.f64 (neg.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (sin.f64 x))))) |
Compiled 19 304 to 2 226 computations (88.5% saved)
23 alts after pruning (19 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 600 | 17 | 617 |
| Fresh | 0 | 2 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 602 | 23 | 625 |
| Status | Accuracy | Program |
|---|---|---|
| 38.4% | (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))) | |
| ✓ | 86.9% | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 35.6% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.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)) x) | |
| ✓ | 78.8% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (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)) x) |
| 24.0% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) y)) x) | |
| ✓ | 40.0% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
| 47.0% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.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)) x)) y)) x) | |
| ▶ | 73.1% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x) |
| ▶ | 46.9% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
| 24.1% | (/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) | |
| 64.4% | (*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x)) | |
| ▶ | 93.1% | (*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.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)) x) y)) (sin.f64 x)) |
| 37.1% | #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) y) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) y) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) #s(literal 1 binary64)))) x))) | |
| 35.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.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))) x) y)) | |
| ✓ | 53.1% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
| 48.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) | |
| ▶ | 59.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (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)) |
| 59.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (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)) | |
| 39.8% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.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)) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| 37.9% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| ▶ | 30.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
| 59.0% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y))) | |
| 42.0% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
Compiled 1 163 to 765 computations (34.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y) | |
| cost-diff | 0 | #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x) | |
| cost-diff | 0 | #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y) | |
| cost-diff | 0 | #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (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) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (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)) | |
| cost-diff | 0 | #s(approx (/ (sin x) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (/.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)) x) | |
| cost-diff | 0 | (*.f64 (/.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)) x) y) | |
| cost-diff | 0 | #s(approx (/ (sinh y) x) (*.f64 (/.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)) x) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.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)) x) y)) (sin.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 623 |
| 0 | 73 | 623 |
| 1 | 136 | 623 |
| 2 | 402 | 623 |
| 3 | 1932 | 623 |
| 0 | 8863 | 623 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.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)) x) y)) (sin.f64 x)) |
#s(approx (/ (sinh y) x) (*.f64 (/.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)) x) y)) |
(*.f64 (/.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)) x) 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)) x) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
x |
(sin.f64 x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) |
#s(approx (/ (sin x) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (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)) |
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (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 (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) |
(*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y) |
#s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) |
(*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y) |
#s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 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) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(sin.f64 x) |
x |
| Outputs |
|---|
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.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)) x) y)) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y))) |
#s(approx (/ (sinh y) x) (*.f64 (/.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)) x) y)) |
#s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)) |
(*.f64 (/.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)) x) y) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) 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)) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
x |
(sin.f64 x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) |
#s(approx (/ (sin x) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (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 (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (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) |
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 #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) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) |
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) y)) |
(*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y) |
(*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 #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) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x))) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.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 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x))) y)) |
(*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y) |
(*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x))) y) |
#s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) |
#s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) |
(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)) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(sin.f64 x) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.6278490419945784 | (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) | |
| accuracy | 6.791510078934705 | #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) | |
| accuracy | 8.390533635831407 | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x) | |
| accuracy | 17.49474274700258 | #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) | |
| accuracy | 1.3945463542138465 | (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) | |
| accuracy | 6.791510078934705 | #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) | |
| accuracy | 8.390533635831407 | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) | |
| accuracy | 25.713100690850837 | #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| accuracy | 0.05859375 | (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) | |
| accuracy | 0.06640625 | (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (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) | |
| accuracy | 5.863216541358778 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (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)) | |
| accuracy | 25.582783449277393 | #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0.12109375 | (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) | |
| accuracy | 29.968207621630512 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) | |
| accuracy | 31.141902652260423 | #s(approx (/ (sin x) x) #s(literal 1 binary64)) | |
| accuracy | 0.078125 | (*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.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)) x) y)) (sin.f64 x)) | |
| accuracy | 0.13671875 | (*.f64 (/.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)) x) y) | |
| accuracy | 1.6742389050334776 | (/.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)) x) | |
| accuracy | 4.918303324321278 | #s(approx (/ (sinh y) x) (*.f64 (/.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)) x) y)) |
| 101.0ms | 256× | 0 | valid |
Compiled 367 to 35 computations (90.5% saved)
ival-mult: 26.0ms (32.6% of total)ival-sin: 25.0ms (31.4% of total)ival-add: 9.0ms (11.3% of total)const: 9.0ms (11.3% of total)ival-div: 8.0ms (10% of total)ival-sinh: 2.0ms (2.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.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)) x) y)) (sin.f64 x)) |
#s(approx (/ (sinh y) x) (*.f64 (/.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)) x) y)) |
(*.f64 (/.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)) x) 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)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) |
#s(approx (/ (sin x) x) #s(literal 1 binary64)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (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)) |
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (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 (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) |
(*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y) |
#s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) |
(*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y) |
#s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.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 1/120 binary64) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
| Outputs |
|---|
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 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)))))))) |
(+ (* 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))))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) x) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))) |
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(* 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))))))))) |
(* 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)))))))))) |
(* x (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
(* x (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))) |
(* x (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))) |
(* 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)))))))))) |
(* 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))))))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(/ (sin x) x) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* -1/6 (* (pow x 3) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* (pow x 3) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (pow x 2))) (* 1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* 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))) |
(/ y x) |
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(/ 1 x) |
(+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)) |
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)) |
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)) |
(+ 1 (* 1/6 (pow y 2))) |
(* y (sin x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(+ (* 1/6 (* x (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))) (* x (+ 1 (* -1/6 (pow x 2))))) |
(+ (* x (+ 1 (* -1/6 (pow x 2)))) (* (pow y 2) (+ (* 1/120 (* x (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))) (* 1/6 (* x (+ 1 (* -1/6 (pow x 2)))))))) |
(* 1/120 (/ (pow y 5) x)) |
(* (pow y 5) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2)))))) |
(* (pow y 5) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4)))))) |
(* 1/120 (/ (pow y 4) x)) |
(* (pow y 4) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2)))))) |
(* (pow y 4) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4)))))) |
(* 1/120 (/ (* (pow y 5) (sin x)) x)) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(* 1/120 (/ (* (pow y 4) (sin x)) x)) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 1/120 (* (pow y 5) (sin x))) |
(* (pow y 5) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(* 1/120 (* (pow y 4) (sin x))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (* x (* (pow y 4) (+ 1 (* -1/6 (pow x 2)))))) |
(* (pow y 4) (+ (* 1/120 (* x (+ 1 (* -1/6 (pow x 2))))) (* 1/6 (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 2))))) |
(* (pow y 4) (+ (* 1/120 (* x (+ 1 (* -1/6 (pow x 2))))) (+ (* 1/6 (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 2))) (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 4))))) |
(* 1/6 (* (pow y 2) (sin x))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))) (pow y 2))) (* 1/120 (/ 1 x))))) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | x | @ | -inf | ((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (* (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) y) (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (+ (* (* y y) 1/120) 1/6) (* (* (+ (* -1/6 (* x x)) 1) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (* (+ (* (* y y) 1/6) 1) (sin x))) |
| 5.0ms | x | @ | inf | ((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (* (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) y) (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (+ (* (* y y) 1/120) 1/6) (* (* (+ (* -1/6 (* x x)) 1) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (* (+ (* (* y y) 1/6) 1) (sin x))) |
| 4.0ms | x | @ | 0 | ((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (* (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) y) (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (+ (* (* y y) 1/120) 1/6) (* (* (+ (* -1/6 (* x x)) 1) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (* (+ (* (* y y) 1/6) 1) (sin x))) |
| 4.0ms | y | @ | inf | ((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (* (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) y) (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (+ (* (* y y) 1/120) 1/6) (* (* (+ (* -1/6 (* x x)) 1) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (* (+ (* (* y y) 1/6) 1) (sin x))) |
| 4.0ms | y | @ | -inf | ((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (* (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) y) (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (+ (* (* y y) 1/120) 1/6) (* (* (+ (* -1/6 (* x x)) 1) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (* (+ (* (* y y) 1/6) 1) (sin x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 333 | 2417 |
| 1 | 1337 | 2132 |
| 2 | 6358 | 2052 |
| 0 | 8100 | 1846 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 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)))))))) |
(+ (* 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))))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) x) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))) |
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(* 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))))))))) |
(* 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)))))))))) |
(* x (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
(* x (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))) |
(* x (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))) |
(* 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)))))))))) |
(* 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))))))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(/ (sin x) x) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* -1/6 (* (pow x 3) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* (pow x 3) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (pow x 2))) (* 1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* 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))) |
(/ y x) |
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(/ 1 x) |
(+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)) |
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)) |
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)) |
(+ 1 (* 1/6 (pow y 2))) |
(* y (sin x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(+ (* 1/6 (* x (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))) (* x (+ 1 (* -1/6 (pow x 2))))) |
(+ (* x (+ 1 (* -1/6 (pow x 2)))) (* (pow y 2) (+ (* 1/120 (* x (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))) (* 1/6 (* x (+ 1 (* -1/6 (pow x 2)))))))) |
(* 1/120 (/ (pow y 5) x)) |
(* (pow y 5) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2)))))) |
(* (pow y 5) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4)))))) |
(* 1/120 (/ (pow y 4) x)) |
(* (pow y 4) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2)))))) |
(* (pow y 4) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4)))))) |
(* 1/120 (/ (* (pow y 5) (sin x)) x)) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(* 1/120 (/ (* (pow y 4) (sin x)) x)) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 1/120 (* (pow y 5) (sin x))) |
(* (pow y 5) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(* 1/120 (* (pow y 4) (sin x))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (* x (* (pow y 4) (+ 1 (* -1/6 (pow x 2)))))) |
(* (pow y 4) (+ (* 1/120 (* x (+ 1 (* -1/6 (pow x 2))))) (* 1/6 (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 2))))) |
(* (pow y 4) (+ (* 1/120 (* x (+ 1 (* -1/6 (pow x 2))))) (+ (* 1/6 (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 2))) (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 4))))) |
(* 1/6 (* (pow y 2) (sin x))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))) (pow y 2))) (* 1/120 (/ 1 x))))) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x)))))) |
| Outputs |
|---|
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 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)))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 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))))))))) |
(fma.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)) |
(/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) x) |
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) x) |
(/.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)) x) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64))) (*.f64 x x) y) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
(fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(fma.f64 (-.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)) (*.f64 x x) #s(literal 1 binary64)) |
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(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(+ (* 1/6 (* x (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))) (* x (+ 1 (* -1/6 (pow x 2))))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) #s(literal 1/6 binary64)) y) y (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) |
(+ (* x (+ 1 (* -1/6 (pow x 2)))) (* (pow y 2) (+ (* 1/120 (* x (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))) (* 1/6 (* x (+ 1 (* -1/6 (pow x 2)))))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) #s(literal 1/120 binary64)) (*.f64 y y) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) #s(literal 1/6 binary64))) (*.f64 y y) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) |
(* 1/120 (/ (pow y 5) x)) |
(*.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) x) #s(literal 1/120 binary64)) |
(* (pow y 5) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2)))))) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) x) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 5) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4)))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/120 binary64)) x) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))) (pow.f64 y #s(literal 5 binary64))) |
(* 1/120 (/ (pow y 4) x)) |
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/120 binary64)) |
(* (pow y 4) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) x)) |
(* (pow y 4) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4)))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/120 binary64)) x) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))) (pow.f64 y #s(literal 4 binary64))) |
(* 1/120 (/ (* (pow y 5) (sin x)) x)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) x)) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) y) (/.f64 #s(literal 1/6 binary64) y) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) x) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 x) x) (/.f64 (fma.f64 (/.f64 (sin.f64 x) y) (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64)))) x)) (pow.f64 y #s(literal 5 binary64))) |
(* 1/120 (/ (* (pow y 4) (sin x)) x)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) x)) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) y) (/.f64 #s(literal 1/6 binary64) y) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) x) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 x) x) (/.f64 (fma.f64 (/.f64 (sin.f64 x) y) (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64)))) x)) (pow.f64 y #s(literal 4 binary64))) |
(* 1/120 (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64))) |
(* 1/120 (* (pow y 5) (sin x))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64)) (sin.f64 x)) |
(* (pow y 5) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) y) (/.f64 #s(literal 1/6 binary64) y) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 x) (fma.f64 (/.f64 (sin.f64 x) y) (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 5 binary64))) |
(* 1/120 (* (pow y 4) (sin x))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) (sin.f64 x)) |
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) y) (/.f64 #s(literal 1/6 binary64) y) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 x) (fma.f64 (/.f64 (sin.f64 x) y) (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 4 binary64))) |
(* 1/120 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) y) y) |
(* 1/120 (* x (* (pow y 4) (+ 1 (* -1/6 (pow x 2)))))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) |
(* (pow y 4) (+ (* 1/120 (* x (+ 1 (* -1/6 (pow x 2))))) (* 1/6 (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) y) (/.f64 #s(literal 1/6 binary64) y) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) #s(literal 1/120 binary64))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (+ (* 1/120 (* x (+ 1 (* -1/6 (pow x 2))))) (+ (* 1/6 (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 2))) (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 4))))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) #s(literal 1/120 binary64) (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) y) (/.f64 #s(literal 1/6 binary64) y) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 4 binary64))) |
(* 1/6 (* (pow y 2) (sin x))) |
(*.f64 (*.f64 (*.f64 (sin.f64 x) y) y) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) y) y)) (*.f64 y y)) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))) (pow y 2))) (* 1/120 (/ 1 x))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) x) (*.f64 (neg.f64 y) y)) (/.f64 #s(literal 1/120 binary64) x))) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) y) (/.f64 (sin.f64 x) y) (*.f64 #s(literal -1/120 binary64) (sin.f64 x))) x)) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (/.f64 (/.f64 (sin.f64 x) y) y) (/.f64 (fma.f64 #s(literal -1/120 binary64) (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 y #s(literal 4 binary64)))) x))) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) y) (/.f64 (sin.f64 x) y) (*.f64 #s(literal -1/120 binary64) (sin.f64 x)))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x)))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) y) (/.f64 (sin.f64 x) y) (fma.f64 #s(literal -1/120 binary64) (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 y #s(literal 4 binary64)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 519 |
| 0 | 73 | 519 |
| 1 | 200 | 519 |
| 2 | 1234 | 519 |
| 0 | 8490 | 519 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.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)) x) y)) (sin.f64 x)) |
#s(approx (/ (sinh y) x) (*.f64 (/.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)) x) y)) |
(*.f64 (/.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)) x) 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)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) |
#s(approx (/ (sin x) x) #s(literal 1 binary64)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (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)) |
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (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 (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) |
(*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y) |
#s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) |
(*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y) |
#s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.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 1/120 binary64) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
| Outputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y))) |
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)) (sin.f64 x)) |
#s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (/.f64 y x)) |
(*.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) y)) (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) y) (*.f64 (pow.f64 x #s(literal -1 binary64)) y))) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) y) (*.f64 (pow.f64 x #s(literal -1 binary64)) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)))) (*.f64 (*.f64 y (pow.f64 x #s(literal -1 binary64))) (*.f64 y (pow.f64 x #s(literal -1 binary64))))) (-.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) (*.f64 y (pow.f64 x #s(literal -1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) y) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) y) (*.f64 (pow.f64 x #s(literal -1 binary64)) y)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) y) (*.f64 (pow.f64 x #s(literal -1 binary64)) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) (-.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal -1 binary64))) (*.f64 y (pow.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) (*.f64 y (pow.f64 x #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) (neg.f64 (neg.f64 x))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (sin.f64 x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (sin.f64 x)) (sin.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (sin.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (sin.f64 x) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (sin.f64 x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (sin.f64 x))) (*.f64 (sin.f64 x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (sin.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (sin.f64 x) (-.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (sin.f64 x))) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64)) (sin.f64 x))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (sin.f64 x)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64)) (sin.f64 x)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (sin.f64 x) (sin.f64 x)) |
(fma.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (sin.f64 x)) |
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (sin.f64 x))) |
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (sin.f64 x))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (sin.f64 x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 #s(literal -1 binary64) (sin.f64 x))) |
(-.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64))) |
(-.f64 (sin.f64 x) (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (sin.f64 x))) |
(-.f64 (sin.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (sin.f64 x)) (sin.f64 x)) |
(+.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (sin.f64 x)) |
(+.f64 (sin.f64 x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (sin.f64 x))) |
(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
Compiled 33 749 to 3 345 computations (90.1% saved)
31 alts after pruning (25 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 597 | 14 | 611 |
| Fresh | 3 | 11 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 603 | 31 | 634 |
| Status | Accuracy | Program |
|---|---|---|
| 38.4% | (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))) | |
| ✓ | 86.9% | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 35.6% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.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)) x) | |
| ✓ | 78.8% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (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)) x) |
| ▶ | 24.0% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) y)) x) |
| ✓ | 40.0% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
| 47.0% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.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)) x)) y)) x) | |
| ✓ | 73.1% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x) |
| 46.9% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) | |
| 42.7% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) | |
| ▶ | 25.2% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x) |
| 24.1% | (/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) | |
| 64.4% | (*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x)) | |
| ▶ | 91.9% | (*.f64 #s(approx (/ (sinh y) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) y)) (sin.f64 x)) |
| 85.7% | (*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) y)) (sin.f64 x)) | |
| 35.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.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))) x) y)) | |
| ✓ | 53.1% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
| 48.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) | |
| ▶ | 59.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
| 47.9% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| 42.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 y y)) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| 59.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) | |
| 59.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| 54.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| 33.4% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y))))) y)) | |
| 59.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (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)) | |
| 43.1% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)))) y)) | |
| 39.8% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.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)) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| ▶ | 37.9% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
| ✓ | 30.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
| 42.0% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64))) (*.f64 x x) y))) |
Compiled 1 893 to 1 146 computations (39.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) y) | |
| cost-diff | 0 | #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) y)) x) | |
| cost-diff | 3 | (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) | |
| cost-diff | 0 | #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y) | |
| cost-diff | 0 | #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| cost-diff | 0 | #s(approx (/ (sinh y) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (sinh y) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) y)) (sin.f64 x)) | |
| cost-diff | 2 | (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) y) | |
| cost-diff | 6 | (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 664 |
| 0 | 104 | 632 |
| 1 | 193 | 620 |
| 2 | 496 | 614 |
| 3 | 1787 | 614 |
| 4 | 6467 | 611 |
| 0 | 8792 | 608 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) y)) (sin.f64 x)) |
#s(approx (/ (sinh y) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) y)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) y) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) |
(pow.f64 x #s(literal -1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
(/.f64 y x) |
(sin.f64 x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y) |
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
y |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
#s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) y) |
#s(literal 1/120 binary64) |
y |
#s(literal 1/6 binary64) |
(*.f64 y y) |
#s(literal 1 binary64) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) |
(*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y) |
#s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (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 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) |
(fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
#s(literal -1/36 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
x |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) y)) |
(*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) y) |
(sin.f64 (+.f64 (neg.f64 x) (PI.f64))) |
(+.f64 (neg.f64 x) (PI.f64)) |
(neg.f64 x) |
x |
(PI.f64) |
y |
| Outputs |
|---|
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) y)) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) x) (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) x))) |
#s(approx (/ (sinh y) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) y)) |
#s(approx (/ (sinh y) x) (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) x)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) y) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) x) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) x) |
(pow.f64 x #s(literal -1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) (*.f64 y y)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
(/.f64 y x) |
(sin.f64 x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y)) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y) |
#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 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
y |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y) |
#s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) y) |
#s(literal 1/120 binary64) |
y |
#s(literal 1/6 binary64) |
(*.f64 y y) |
#s(literal 1 binary64) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x))) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) |
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x))) y)) |
(*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y) |
(*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x))) y) |
#s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) |
#s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x))) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (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 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) |
(fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
#s(literal -1/36 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
x |
(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)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) y)) |
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) |
(*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) y) |
(*.f64 (sin.f64 x) y) |
(sin.f64 (+.f64 (neg.f64 x) (PI.f64))) |
(sin.f64 x) |
(+.f64 (neg.f64 x) (PI.f64)) |
(fma.f64 #s(literal -1 binary64) x (PI.f64)) |
(neg.f64 x) |
x |
(PI.f64) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2421816038481547 | (PI.f64) | |
| accuracy | 8.18454472761179 | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) y)) x) | |
| accuracy | 29.93366104529855 | #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) y)) | |
| accuracy | 59.89763639487462 | (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) | |
| accuracy | 8.18454472761179 | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x) | |
| accuracy | 11.515554818227006 | (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| accuracy | 17.49474274700258 | #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) | |
| accuracy | 27.127143625879192 | #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x)) | |
| accuracy | 0.078125 | (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) | |
| accuracy | 0.1015625 | (*.f64 #s(literal 1/120 binary64) y) | |
| accuracy | 5.863216541358778 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| accuracy | 25.582783449277393 | #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0.109375 | (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| accuracy | 0.12109375 | (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y) | |
| accuracy | 29.968207621630512 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| accuracy | 31.49158780268155 | #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0.1953125 | (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) | |
| accuracy | 0.27962875976844204 | (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) | |
| accuracy | 0.6100482152470953 | (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) | |
| accuracy | 4.918303324321278 | #s(approx (/ (sinh y) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) y)) |
| 236.0ms | 197× | 1 | valid |
| 140.0ms | 54× | 2 | valid |
| 2.0ms | 1× | 5 | exit |
| 2.0ms | 4× | 0 | valid |
Compiled 369 to 58 computations (84.3% saved)
ival-mult: 89.0ms (27.7% of total)adjust: 75.0ms (23.4% of total)const: 51.0ms (15.9% of total)ival-sin: 50.0ms (15.6% of total)ival-add: 26.0ms (8.1% of total)ival-div: 11.0ms (3.4% of total)ival-pow: 9.0ms (2.8% of total)ival-pi: 7.0ms (2.2% of total)ival-sinh: 2.0ms (0.6% of total)ival-neg: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) y) |
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) y)) (sin.f64 x)) |
#s(approx (/ (sinh y) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y) |
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
#s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) |
(*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y) |
#s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) |
(sin.f64 (+.f64 (neg.f64 x) (PI.f64))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) y)) |
(*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) y) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) |
(*.f64 #s(literal 1/120 binary64) y) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(PI.f64) |
| Outputs |
|---|
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) x) |
(/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 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)))))))) |
(+ (* 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))))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))) |
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(* 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))))))))) |
(* 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)))))))))) |
(* x (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
(* x (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))) |
(* x (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(sin (PI)) |
(+ (sin (PI)) (* -1 (* x (cos (PI))))) |
(+ (sin (PI)) (* x (+ (* -1 (cos (PI))) (* -1/2 (* x (sin (PI))))))) |
(+ (sin (PI)) (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (sin (PI))) (* 1/6 (* x (cos (PI))))))))) |
(* y (sin (PI))) |
(+ (* -1 (* x (* y (cos (PI))))) (* y (sin (PI)))) |
(+ (* x (+ (* -1 (* y (cos (PI)))) (* -1/2 (* x (* y (sin (PI))))))) (* y (sin (PI)))) |
(+ (* x (+ (* -1 (* y (cos (PI)))) (* x (+ (* -1/2 (* y (sin (PI)))) (* 1/6 (* x (* y (cos (PI))))))))) (* y (sin (PI)))) |
(/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) x) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))) |
(* 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)))))))))) |
(* 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))))))))))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (- (* -1/36 (pow y 2)) 1/6)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(/ (sin x) x) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(sin (- (PI) x)) |
(* y (sin (- (PI) x))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (pow x 2) (- (* -1/36 (pow y 2)) 1/6)) |
(* (pow x 2) (- (+ (* -1/36 (pow y 2)) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))) 1/6)) |
(* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (pow (sqrt -1) 2)) x)) |
(* -1 (/ (* y (+ (* -1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (pow (sqrt -1) 2))) x)) |
(sin (+ (PI) (* -1 x))) |
(* y (sin (+ (PI) (* -1 x)))) |
(/ 1 x) |
(+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)) |
(/ y x) |
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* 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))) |
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)) |
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)) |
(* y (sin x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(* 1/6 (/ (pow y 2) x)) |
(* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(* 1/120 y) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1 (+ (* -1/6 (pow x 2)) (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2)))))) |
(* 1/120 (/ (pow y 4) x)) |
(* (pow y 4) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2)))))) |
(* (pow y 4) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4)))))) |
(* 1/120 (/ (pow y 5) x)) |
(* (pow y 5) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2)))))) |
(* (pow y 5) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4)))))) |
(* 1/120 (/ (* (pow y 5) (sin x)) x)) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(* 1/120 (/ (* (pow y 4) (sin x)) x)) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 1/120 (* (pow y 5) (sin x))) |
(* (pow y 5) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(* 1/120 (* (pow y 4) (sin x))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(* 1/120 (pow y 3)) |
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/6 (* (pow y 2) (sin x))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ 1/6 (* -1/36 (pow x 2)))) |
(* (pow y 2) (+ 1/6 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* -1/36 (pow x 2)) (/ 1 (pow y 2)))))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))) (pow y 2))) (* 1/120 (/ 1 x))))) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | -inf | ((+ (* (pow x -1/2) (pow x -1/2)) (* (* (+ (* 1/120 (* y y)) 1/6) y) (/ y x))) (* (+ (* (pow x -1/2) (pow x -1/2)) (* (* (+ (* 1/120 (* y y)) 1/6) y) (/ y x))) y) (* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* -1/6 (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (+ (* (+ (* (* 1/120 y) y) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (sin (+ (neg x) (PI))) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin (+ (neg x) (PI))) y) (* (* (+ (* 1/120 (* y y)) 1/6) y) (/ y x)) (* (+ (* 1/120 (* y y)) 1/6) y) (* 1/120 y) (+ (* (* 1/120 y) y) 1/6) (* (+ (* (* y y) 1/6) 1) (sin x)) (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (PI)) |
| 10.0ms | x | @ | 0 | ((+ (* (pow x -1/2) (pow x -1/2)) (* (* (+ (* 1/120 (* y y)) 1/6) y) (/ y x))) (* (+ (* (pow x -1/2) (pow x -1/2)) (* (* (+ (* 1/120 (* y y)) 1/6) y) (/ y x))) y) (* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* -1/6 (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (+ (* (+ (* (* 1/120 y) y) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (sin (+ (neg x) (PI))) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin (+ (neg x) (PI))) y) (* (* (+ (* 1/120 (* y y)) 1/6) y) (/ y x)) (* (+ (* 1/120 (* y y)) 1/6) y) (* 1/120 y) (+ (* (* 1/120 y) y) 1/6) (* (+ (* (* y y) 1/6) 1) (sin x)) (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (PI)) |
| 9.0ms | y | @ | -inf | ((+ (* (pow x -1/2) (pow x -1/2)) (* (* (+ (* 1/120 (* y y)) 1/6) y) (/ y x))) (* (+ (* (pow x -1/2) (pow x -1/2)) (* (* (+ (* 1/120 (* y y)) 1/6) y) (/ y x))) y) (* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* -1/6 (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (+ (* (+ (* (* 1/120 y) y) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (sin (+ (neg x) (PI))) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin (+ (neg x) (PI))) y) (* (* (+ (* 1/120 (* y y)) 1/6) y) (/ y x)) (* (+ (* 1/120 (* y y)) 1/6) y) (* 1/120 y) (+ (* (* 1/120 y) y) 1/6) (* (+ (* (* y y) 1/6) 1) (sin x)) (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (PI)) |
| 6.0ms | y | @ | inf | ((+ (* (pow x -1/2) (pow x -1/2)) (* (* (+ (* 1/120 (* y y)) 1/6) y) (/ y x))) (* (+ (* (pow x -1/2) (pow x -1/2)) (* (* (+ (* 1/120 (* y y)) 1/6) y) (/ y x))) y) (* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* -1/6 (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (+ (* (+ (* (* 1/120 y) y) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (sin (+ (neg x) (PI))) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin (+ (neg x) (PI))) y) (* (* (+ (* 1/120 (* y y)) 1/6) y) (/ y x)) (* (+ (* 1/120 (* y y)) 1/6) y) (* 1/120 y) (+ (* (* 1/120 y) y) 1/6) (* (+ (* (* y y) 1/6) 1) (sin x)) (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (PI)) |
| 5.0ms | x | @ | inf | ((+ (* (pow x -1/2) (pow x -1/2)) (* (* (+ (* 1/120 (* y y)) 1/6) y) (/ y x))) (* (+ (* (pow x -1/2) (pow x -1/2)) (* (* (+ (* 1/120 (* y y)) 1/6) y) (/ y x))) y) (* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* -1/6 (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (+ (* (+ (* (* 1/120 y) y) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (sin (+ (neg x) (PI))) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin (+ (neg x) (PI))) y) (* (* (+ (* 1/120 (* y y)) 1/6) y) (/ y x)) (* (+ (* 1/120 (* y y)) 1/6) y) (* 1/120 y) (+ (* (* 1/120 y) y) 1/6) (* (+ (* (* y y) 1/6) 1) (sin x)) (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (PI)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 383 | 2466 |
| 1 | 1496 | 2127 |
| 2 | 6575 | 2081 |
| 0 | 8167 | 1882 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) x) |
(/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 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)))))))) |
(+ (* 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))))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))) |
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(* 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))))))))) |
(* 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)))))))))) |
(* x (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
(* x (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))) |
(* x (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(sin (PI)) |
(+ (sin (PI)) (* -1 (* x (cos (PI))))) |
(+ (sin (PI)) (* x (+ (* -1 (cos (PI))) (* -1/2 (* x (sin (PI))))))) |
(+ (sin (PI)) (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (sin (PI))) (* 1/6 (* x (cos (PI))))))))) |
(* y (sin (PI))) |
(+ (* -1 (* x (* y (cos (PI))))) (* y (sin (PI)))) |
(+ (* x (+ (* -1 (* y (cos (PI)))) (* -1/2 (* x (* y (sin (PI))))))) (* y (sin (PI)))) |
(+ (* x (+ (* -1 (* y (cos (PI)))) (* x (+ (* -1/2 (* y (sin (PI)))) (* 1/6 (* x (* y (cos (PI))))))))) (* y (sin (PI)))) |
(/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) x) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))) |
(* 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)))))))))) |
(* 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))))))))))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (- (* -1/36 (pow y 2)) 1/6)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(/ (sin x) x) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(sin (- (PI) x)) |
(* y (sin (- (PI) x))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (pow x 2) (- (* -1/36 (pow y 2)) 1/6)) |
(* (pow x 2) (- (+ (* -1/36 (pow y 2)) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))) 1/6)) |
(* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (pow (sqrt -1) 2)) x)) |
(* -1 (/ (* y (+ (* -1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (pow (sqrt -1) 2))) x)) |
(sin (+ (PI) (* -1 x))) |
(* y (sin (+ (PI) (* -1 x)))) |
(/ 1 x) |
(+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)) |
(/ y x) |
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* 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))) |
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)) |
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)) |
(* y (sin x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(* 1/6 (/ (pow y 2) x)) |
(* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(* 1/120 y) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1 (+ (* -1/6 (pow x 2)) (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2)))))) |
(* 1/120 (/ (pow y 4) x)) |
(* (pow y 4) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2)))))) |
(* (pow y 4) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4)))))) |
(* 1/120 (/ (pow y 5) x)) |
(* (pow y 5) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2)))))) |
(* (pow y 5) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4)))))) |
(* 1/120 (/ (* (pow y 5) (sin x)) x)) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(* 1/120 (/ (* (pow y 4) (sin x)) x)) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 1/120 (* (pow y 5) (sin x))) |
(* (pow y 5) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(* 1/120 (* (pow y 4) (sin x))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(* 1/120 (pow y 3)) |
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/6 (* (pow y 2) (sin x))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ 1/6 (* -1/36 (pow x 2)))) |
(* (pow y 2) (+ 1/6 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* -1/36 (pow x 2)) (/ 1 (pow y 2)))))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))) (pow y 2))) (* 1/120 (/ 1 x))))) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x)))))) |
| Outputs |
|---|
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) x) |
(/.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)) x) |
(/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) x) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 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)))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 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))))))))) |
(fma.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
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(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (sin.f64 x)) x) |
(* 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))) |
(*.f64 (fma.f64 (/.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))) x) (*.f64 y y) (/.f64 (sin.f64 x) x)) y) |
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (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)) |
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) |
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)) |
(*.f64 (/.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)) x) (sin.f64 x)) |
(* y (sin x)) |
(*.f64 (sin.f64 x) y) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) y) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (sin.f64 x)) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))))) y) |
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(*.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)) (sin.f64 x)) |
(* 1/6 (/ (pow y 2) x)) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) y) y) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) |
(* 1/120 y) |
(*.f64 #s(literal 1/120 binary64) y) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(+ 1 (+ (* -1/6 (pow x 2)) (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) y (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(* 1/120 (/ (pow y 4) x)) |
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/120 binary64)) |
(* (pow y 4) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2)))))) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) x) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4)))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/120 binary64)) x) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) y))) (pow.f64 y #s(literal 4 binary64))) |
(* 1/120 (/ (pow y 5) x)) |
(*.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) x) #s(literal 1/120 binary64)) |
(* (pow y 5) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) x)) |
(* (pow y 5) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4)))))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/120 binary64)) x) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) y)))) |
(* 1/120 (/ (* (pow y 5) (sin x)) x)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) x)) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) x) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 x) x) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64)))) x)) (pow.f64 y #s(literal 5 binary64))) |
(* 1/120 (/ (* (pow y 4) (sin x)) x)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) x)) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) x) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 x) x) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64)))) x)) (pow.f64 y #s(literal 4 binary64))) |
(* 1/120 (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64))) |
(* 1/120 (* (pow y 5) (sin x))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64)) (sin.f64 x)) |
(* (pow y 5) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 x) (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 5 binary64))) |
(* 1/120 (* (pow y 4) (sin x))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) (sin.f64 x)) |
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 x) (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 4 binary64))) |
(* 1/120 (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/120 binary64)) |
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64))) |
(* 1/120 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) y) y) |
(* 1/6 (* (pow y 2) (sin x))) |
(*.f64 (*.f64 (*.f64 (sin.f64 x) y) y) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) y) y)) (*.f64 y y)) |
(* (pow y 2) (+ 1/6 (* -1/36 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) y) |
(* (pow y 2) (+ 1/6 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* -1/36 (pow x 2)) (/ 1 (pow y 2)))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/36 binary64) x) x (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 y y))) #s(literal 1/6 binary64)) (*.f64 y y)) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))) (pow y 2))) (* 1/120 (/ 1 x))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x) (*.f64 (neg.f64 y) y)) (/.f64 #s(literal 1/120 binary64) x))) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) y) (/.f64 (sin.f64 x) y) (*.f64 #s(literal -1/120 binary64) (sin.f64 x))) x)) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 (sin.f64 x) x) (/.f64 (fma.f64 #s(literal -1/120 binary64) (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 y #s(literal 4 binary64)))) x))) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) y) (/.f64 (sin.f64 x) y) (*.f64 #s(literal -1/120 binary64) (sin.f64 x)))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x)))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) y) (/.f64 (sin.f64 x) y) (fma.f64 #s(literal -1/120 binary64) (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 y #s(literal 4 binary64)))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 573 |
| 0 | 104 | 543 |
| 1 | 371 | 531 |
| 2 | 2138 | 531 |
| 0 | 8740 | 531 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) y) |
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) y)) (sin.f64 x)) |
#s(approx (/ (sinh y) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y) |
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
#s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) |
(*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y) |
#s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) |
(sin.f64 (+.f64 (neg.f64 x) (PI.f64))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) y)) x) |
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) y)) |
(*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) y) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) |
(*.f64 #s(literal 1/120 binary64) y) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) |
#s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(PI.f64) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) x)) |
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(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64)))) |
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))) |
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (PI.f64))) |
(pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) |
(pow.f64 (PI.f64) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (PI.f64))) (cosh.f64 (log.f64 (PI.f64))) (-.f64 (*.f64 (sinh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64)))) (*.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64))))))) |
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) |
(sqrt.f64 (*.f64 (PI.f64) (PI.f64))) |
(fabs.f64 (neg.f64 (PI.f64))) |
(fabs.f64 (PI.f64)) |
(exp.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64))) |
(exp.f64 (log.f64 (PI.f64))) |
(+.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64)))) |
(log.f64 (exp.f64 (PI.f64))) |
(PI.f64) |
Compiled 28 258 to 3 608 computations (87.2% saved)
36 alts after pruning (27 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 564 | 13 | 577 |
| Fresh | 6 | 14 | 20 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 572 | 36 | 608 |
| Status | Accuracy | Program |
|---|---|---|
| 38.4% | (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))) | |
| ✓ | 86.9% | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 35.6% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.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)) x) | |
| ✓ | 78.8% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (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)) x) |
| 23.9% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) y)) x) | |
| ✓ | 24.0% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) y)) x) |
| ✓ | 40.0% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
| 47.0% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.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)) x)) y)) x) | |
| ✓ | 73.1% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x) |
| 46.9% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) | |
| 31.4% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/36 binary64) y) y (/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) x)) #s(literal 1/6 binary64)) (*.f64 x x))) x))) y)) x) | |
| 32.8% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) y)) x))) y)) x) | |
| 26.9% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) y)) x) | |
| 24.1% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) x) y)) x) | |
| 13.0% | (/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x) | |
| 64.4% | (*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x)) | |
| 84.1% | (*.f64 #s(approx (/ (sinh y) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(approx (* (+ (* 1/120 (* y y)) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) (/.f64 y x))) y)) (sin.f64 x)) | |
| 85.7% | (*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) y)) (sin.f64 x)) | |
| ✓ | 53.1% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
| 48.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) | |
| ✓ | 59.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
| 47.9% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 y #s(literal 1/120 binary64))) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| 42.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 y y)) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| 59.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) | |
| 59.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| 54.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| 33.4% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y))))) y)) | |
| 59.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (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)) | |
| 43.1% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)))) y)) | |
| 39.8% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.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)) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| 37.9% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) | |
| ✓ | 37.9% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
| 32.4% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x))) y)) | |
| 11.4% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) | |
| ✓ | 30.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
| 42.0% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
Compiled 2 880 to 1 071 computations (62.8% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (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 (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 y #s(literal 1/120 binary64))) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.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)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) y)) x))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (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)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.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)) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 y y)) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/36 binary64) y) y (/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) x)) #s(literal 1/6 binary64)) (*.f64 x x))) x))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y))))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) y)) x) |
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) y)) (sin.f64 x)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)) |
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.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)) x) y)) (sin.f64 x)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (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)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.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))) x) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.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)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(approx (* (+ (* 1/120 (* y y)) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) (/.f64 y x))) y)) (sin.f64 x)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) y)) (sin.f64 x)) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) y) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) y) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) #s(literal 1 binary64)))) x))) |
| Outputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
4 calls:
| 19.0ms | y |
| 16.0ms | x |
| 15.0ms | (sinh.f64 y) |
| 11.0ms | (/.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) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (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 (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 y #s(literal 1/120 binary64))) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.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)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) y)) x))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (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)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.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)) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 y y)) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/36 binary64) y) y (/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) x)) #s(literal 1/6 binary64)) (*.f64 x x))) x))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y))))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) y)) x) |
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) y)) (sin.f64 x)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)) |
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.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)) x) y)) (sin.f64 x)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (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)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.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))) x) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.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)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.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)) x) y)) (sin.f64 x)) |
4 calls:
| 20.0ms | x |
| 14.0ms | y |
| 10.0ms | (sinh.f64 y) |
| 9.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.1% | 1 | (sinh.f64 y) |
| 93.1% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 93.1% | 1 | x |
| 93.1% | 1 | y |
Compiled 11 to 13 computations (-18.2% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (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 (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 y #s(literal 1/120 binary64))) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.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)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) y)) x))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (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)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.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)) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 y y)) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/36 binary64) y) y (/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) x)) #s(literal 1/6 binary64)) (*.f64 x x))) x))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y))))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) y)) x) |
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) y)) (sin.f64 x)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)) |
4 calls:
| 20.0ms | (sinh.f64 y) |
| 16.0ms | x |
| 10.0ms | y |
| 8.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.9% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 91.9% | 1 | x |
| 91.9% | 1 | y |
| 91.9% | 1 | (sinh.f64 y) |
Compiled 11 to 13 computations (-18.2% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (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 (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 y #s(literal 1/120 binary64))) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.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)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) y)) x))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (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)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.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)) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 y y)) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/36 binary64) y) y (/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) x)) #s(literal 1/6 binary64)) (*.f64 x x))) x))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y))))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) y)) x) |
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) y)) (sin.f64 x)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x) |
4 calls:
| 20.0ms | x |
| 11.0ms | (sinh.f64 y) |
| 10.0ms | y |
| 8.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.5% | 2 | (sinh.f64 y) |
| 89.4% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 89.6% | 2 | x |
| 90.5% | 3 | y |
Compiled 11 to 13 computations (-18.2% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (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 (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 y #s(literal 1/120 binary64))) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.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)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) y)) x))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (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)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.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)) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 y y)) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/36 binary64) y) y (/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) x)) #s(literal 1/6 binary64)) (*.f64 x x))) x))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y))))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) y)) x) |
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) y)) (sin.f64 x)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) y)) (sin.f64 x)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
2 calls:
| 12.0ms | x |
| 8.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.4% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 85.7% | 1 | x |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (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 (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 y #s(literal 1/120 binary64))) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.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)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) y)) x))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (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)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.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)) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 y y)) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/36 binary64) y) y (/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) x)) #s(literal 1/6 binary64)) (*.f64 x x))) x))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y))))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y))) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) y)) x) |
| Outputs |
|---|
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
4 calls:
| 41.0ms | (sinh.f64 y) |
| 10.0ms | x |
| 9.0ms | y |
| 8.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.8% | 4 | x |
| 83.3% | 3 | (sinh.f64 y) |
| 83.3% | 3 | y |
| 88.1% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 11 to 13 computations (-18.2% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (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 (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 y #s(literal 1/120 binary64))) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.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)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) y)) x))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (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)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.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)) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 y y)) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/36 binary64) y) y (/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) x)) #s(literal 1/6 binary64)) (*.f64 x x))) x))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y))))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)))) y)) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (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 (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)))) y)) |
4 calls:
| 28.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 11.0ms | x |
| 9.0ms | y |
| 7.0ms | (sinh.f64 y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.4% | 2 | x |
| 59.6% | 1 | (sinh.f64 y) |
| 59.6% | 1 | y |
| 65.3% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 11 to 13 computations (-18.2% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (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 (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 y #s(literal 1/120 binary64))) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.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)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) y)) x))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (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)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.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)) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 y y)) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/36 binary64) y) y (/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) x)) #s(literal 1/6 binary64)) (*.f64 x x))) x))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y))))) y)) |
| Outputs |
|---|
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
2 calls:
| 8.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.3% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 68.3% | 5 | x |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (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 (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 y #s(literal 1/120 binary64))) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.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)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) y)) x))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (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)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.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)) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
| Outputs |
|---|
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
1 calls:
| 6.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.3% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (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 (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 y #s(literal 1/120 binary64))) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.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)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) y)) x))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (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)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.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)) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) y)) x) |
| Outputs |
|---|
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.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)) x)) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
1 calls:
| 6.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.9% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (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 (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 y #s(literal 1/120 binary64))) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.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)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) y)) x))) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (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)) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (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 (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
1 calls:
| 11.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.9% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (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 (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 y #s(literal 1/120 binary64))) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.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)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (sin x)) (*.f64 #s(approx (+ (* (* (+ (* -1/36 (* y y)) -1/6) x) x) (+ (* (* y y) 1/6) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) y) y)) x))) y)) x) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
1 calls:
| 5.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.8% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (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)) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x) |
2 calls:
| 7.0ms | x |
| 4.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.3% | 2 | x |
| 59.0% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (sin (+ (neg x) (PI))) x) y)) x) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x) |
4 calls:
| 3.0ms | (sinh.f64 y) |
| 3.0ms | x |
| 3.0ms | y |
| 2.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.6% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 54.6% | 1 | (sinh.f64 y) |
| 54.6% | 1 | y |
| 58.2% | 2 | x |
Compiled 11 to 13 computations (-18.2% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x) |
4 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (sinh.f64 y) |
| 2.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.9% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 37.9% | 1 | (sinh.f64 y) |
| 37.9% | 1 | y |
| 40.2% | 2 | x |
Compiled 11 to 13 computations (-18.2% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y)) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x) |
4 calls:
| 15.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 2.0ms | x |
| 1.0ms | y |
| 1.0ms | (sinh.f64 y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.4% | 3 | y |
| 37.3% | 3 | (sinh.f64 y) |
| 37.3% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 39.2% | 2 | 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) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) 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 |
|---|---|---|
| 30.2% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 30.2% | 1 | (sinh.f64 y) |
| 30.2% | 1 | y |
| 30.2% | 1 | x |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 5.685335594346637e-22 | 2.112387345644132e-10 |
| 8.0ms | 128× | 0 | valid |
Compiled 618 to 427 computations (30.9% saved)
ival-sin: 2.0ms (43.5% of total)ival-div: 1.0ms (21.7% of total)ival-mult: 1.0ms (21.7% of total)ival-sinh: 1.0ms (21.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.493962572587452e-44 | 2.0729569581182e-41 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.493962572587452e-44 | 2.0729569581182e-41 |
| 0.0ms | -inf | -1.0305610532311077e-10 |
Compiled 10 to 11 computations (-10% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.4884406141963706e+24 | 1.0750517170660199e+25 |
| 8.0ms | 96× | 0 | valid |
Compiled 580 to 341 computations (41.2% saved)
ival-sin: 3.0ms (56% of total)ival-div: 1.0ms (18.7% of total)ival-mult: 1.0ms (18.7% of total)ival-sinh: 1.0ms (18.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -inf | -1.0305610532311077e-10 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -inf | -1.0305610532311077e-10 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -inf | -1.0305610532311077e-10 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -inf | -1.0305610532311077e-10 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3304556817088276e-158 | 1.315841453842191e-155 |
Compiled 10 to 11 computations (-10% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 7.8508916429033e+206 | 2.5371066833757957e+212 |
| 11.0ms | 144× | 0 | valid |
Compiled 586 to 380 computations (35.2% saved)
ival-sin: 5.0ms (62.3% of total)ival-div: 1.0ms (12.5% of total)ival-mult: 1.0ms (12.5% of total)ival-sinh: 1.0ms (12.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.8508916429033e+206 | 2.5371066833757957e+212 |
Compiled 550 to 371 computations (32.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 1.4986911053598633e+146 | 3.047774803293854e+146 |
| 6.0ms | 80× | 0 | valid |
Compiled 200 to 161 computations (19.5% saved)
ival-sin: 3.0ms (69.6% of total)ival-mult: 1.0ms (23.2% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sinh: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 6196.783896604913 | 35115.00148283495 |
| 8.0ms | 96× | 0 | valid |
Compiled 208 to 173 computations (16.8% saved)
ival-sin: 3.0ms (56.1% of total)ival-div: 1.0ms (18.7% of total)ival-mult: 1.0ms (18.7% of total)ival-sinh: 1.0ms (18.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 1139 |
| 1 | 185 | 1139 |
| 2 | 323 | 1131 |
| 3 | 941 | 1131 |
| 4 | 3879 | 1131 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.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)) x) y)) (sin.f64 x)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)) |
(if (<=.f64 x #s(literal 7737125245533627/38685626227668133590597632 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x)) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5021681388309345/100433627766186892221372630771322662657637687111424552206336 binary64)) (*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) y)) (sin.f64 x)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5021681388309345/100433627766186892221372630771322662657637687111424552206336 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)))) |
(if (<=.f64 x #s(literal 1949999999999999886753792 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (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 (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)))) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.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)) x)) y)) x) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (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 (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4946608029462091/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))) |
(if (<=.f64 x #s(literal 1049999999999999930769376528507348203154476130080092926961037273709250264815521921692326229973373915111781260243797719899462572956834018027002191452640882165876108817459060615638576267038995514553543639017979904 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y)) (/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x)) |
(if (<=.f64 x #s(literal 1049999999999999930769376528507348203154476130080092926961037273709250264815521921692326229973373915111781260243797719899462572956834018027002191452640882165876108817459060615638576267038995514553543639017979904 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) (/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x)) |
(if (<=.f64 x #s(literal 191999999999999993468444236377752790308805585570772166249156976321419285790149627474604873394985500312936801657138989896987491483004608346203357184 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) (/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x)) |
(if (<=.f64 x #s(literal 6800 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) (/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
| Outputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.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)) x) y)) (sin.f64 x)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)) |
(if (<=.f64 x #s(literal 7737125245533627/38685626227668133590597632 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)) x)) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5021681388309345/100433627766186892221372630771322662657637687111424552206336 binary64)) (*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) y)) (sin.f64 x)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5021681388309345/100433627766186892221372630771322662657637687111424552206336 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)))) |
(if (<=.f64 x #s(literal 1949999999999999886753792 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (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 (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)))) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) x)) y)) x) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.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)) x)) y)) x) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (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 (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4946608029462091/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))) |
(if (<=.f64 x #s(literal 1049999999999999930769376528507348203154476130080092926961037273709250264815521921692326229973373915111781260243797719899462572956834018027002191452640882165876108817459060615638576267038995514553543639017979904 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y)) (/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x)) |
(if (<=.f64 x #s(literal 1049999999999999930769376528507348203154476130080092926961037273709250264815521921692326229973373915111781260243797719899462572956834018027002191452640882165876108817459060615638576267038995514553543639017979904 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) (/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x)) |
(if (<=.f64 x #s(literal 191999999999999993468444236377752790308805585570772166249156976321419285790149627474604873394985500312936801657138989896987491483004608346203357184 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) (/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x)) |
(if (<=.f64 x #s(literal 6800 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) (/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin (+ (neg x) (PI))) y) #s(literal 0 binary64))) x)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 333 | 2417 |
| 1 | 1337 | 2132 |
| 2 | 6358 | 2052 |
| 0 | 8100 | 1846 |
| 0 | 47 | 519 |
| 0 | 73 | 519 |
| 1 | 200 | 519 |
| 2 | 1234 | 519 |
| 0 | 8490 | 519 |
| 0 | 253 | 1898 |
| 1 | 1013 | 1652 |
| 2 | 4592 | 1462 |
| 0 | 8647 | 1322 |
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 22 | 16 |
| 2 | 75 | 16 |
| 3 | 436 | 16 |
| 4 | 5695 | 16 |
| 0 | 8184 | 16 |
| 0 | 383 | 2466 |
| 1 | 1496 | 2127 |
| 2 | 6575 | 2081 |
| 0 | 8167 | 1882 |
| 0 | 29 | 201 |
| 0 | 46 | 201 |
| 1 | 127 | 201 |
| 2 | 675 | 196 |
| 3 | 6569 | 196 |
| 0 | 8212 | 191 |
| 0 | 113 | 506 |
| 1 | 434 | 438 |
| 2 | 1692 | 406 |
| 3 | 5247 | 404 |
| 0 | 8163 | 370 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 143 to 150 computations (86.9% saved)
(abs x)
Compiled 2 328 to 336 computations (85.6% saved)
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